Tuesday, February 06, 2007

Revolutions of the Archetype


The concept of Tao is based upon the understanding that the only constant in the universe is change (see I Ching, the "Book of Changes") and that we must understand and be in harmony with this change. The change is a constant flow from non-being into being, potential into actual, yin into yang, female into male. The symbol of the Tao, called the Taijitu, is the yin yang confluently flowing into itself in a circle.


How many times, not only in your waking life, did you think you had attained a certain peace, that would over take you when it seemed all was right? That you realized in your dream time, that the male/female depending on your gender, would have "image signs" within the dynamics of that unconsciousness, to maintain this balance?

The Dance of Colors


Courtesy Edgar Fahs Smith Memorial Collection, Department of Special Collections, University of Pennsylvania Library


As if "the octave" has a place within expression. That such harmony allowed more vibration "to enter" then at any other time? Resonating with nature? So, if the arrow of time is expressed one way, which way was "the energy" ever the strongest? Which way have the matters encased?

Something "to strong" one way, having something in "reaction" to "soften it," or "change it" from what it could be projected? There is the "artful way" of such consideration's as one studies the I CHING, and this interplay of "probable outcomes?"

Encased within the "uncertainty of action in unconsciousness" might we have dismissed it as some wishful thinking, that such order rests within all of us, even as we dream and walk a path from the future to the world's past?

Who would have thought such characteristics to the structure of the family, arranged as Mothers, Fathers, sons and daughters "in the lines and there arrangements?" Only 64 possible moves? If the lines were changing, then even more so? Which ones?

The Energy Manifests

Archetypes
The contents of the collective unconscious are called archetypes. Jung also called them dominants, imagos, mythological or primordial images, and a few other names, but archetypes seems to have won out over these. An archetype is an unlearned tendency to experience things in a certain way.

The archetype has no form of its own, but it acts as an "organizing principle" on the things we see or do. It works the way that instincts work in Freud's theory: At first, the baby just wants something to eat, without knowing what it wants. It has a rather indefinite yearning which, nevertheless, can be satisfied by some things and not by others. Later, with experience, the child begins to yearn for something more specific when it is hungry -- a bottle, a cookie, a broiled lobster, a slice of New York style pizza.

The archetype is like a black hole in space: You only know its there by how it draws matter and light to itself.


Some may say I offer a "tainted verison" of what is happening with the science, by relating it to the "psychological domains?" Yet, I find it necessary to understand what is driving this quest for "banging" the Big Toe Theory of Everything and it's relations? How something can be "liminocentrically" occupying the mind in it's quest for understanding wholeness?

If it is thus then, whether you think it right as a prerequisite or not, I would have to say, that it would have to include our "psychological states" as well. Why, some lean toward identifying this aspect within the very "nature of the self" as part of the science? Not only in the cosmology at large, but in the micro perspective of what is enhanced through the constituent building blocks of matter as we exchange what this energy would look like at it's core, at a distant. We delve ever deeper into the nature, then why not into our selves as we look at this compaction of the individual process?

Not to exploit the ego into self gratification as it think it's the centre of the universe?:) But to help it understand "the laws of nature" are hidden amongst our words, dreams, and possibly have geometrical inclinations of there own, on a level that has not been understood before.

ON "Visualization and changing perspective," the domains that we reside in, make it difficult to see this "wider perspective" about our involvement within the dynamics of discovery?

Lest you understand the "emotive forces" the world has, which can colour our views, how would you know, that the world works on the physical level, has it's counterpart, in the world inside, is revealed on the outside?

So while this energy relation has been brought to view, the dynamics of "this circle" had to have a relation in the reductionist world of science, least we not understand the effect of the energy as we assign each particle it's place as an "oscillatory one?"

See:
  • Carl Jung's Symbolical Nature
  • Monday, February 05, 2007

    Symmetry in Psychological Action


    Our basic premise is that minuscule apparent violations of Lorentz and CPT invariance might be observable in nature. The idea is that the violations would arise as suppressed effects from a more fundamental theory.

    We have shown in our publications that arbitrary Lorentz and CPT violations are quantitatively described by a theory called the Standard-Model Extension, which is a modification of the usual Standard Model of particle physics and Einstein's theory of gravity, General Relativity.


    Symbols are important to convey what we can appreciate in "natures examples." While this image above is about clocks, it is also about "the past and the future." Which clock represents which to you?

    I have been having amazing troubles with this until having looked at some of Marcia's Smilack's photography. I am not sure all my definitions are correct to hers but I have somehow seen a lot of my confusion disappear.

    While reductionism was holding my mind to the compressible feature and condensible feature to the building blocks of nature, there was a much larger picture going on in discovering the "uncertainty of that micro perspective of the world" we force our minds to venture too.

    For the first time, physicists appreciate the power of symmetry in their equations. When a physicist talks about “beauty and elegance” in physics, what he or she often really means is that symmetry allows one to unify a large number of diverse phenomena and concepts into a remarkably compact form. The more beautiful an equation is, the more symmetry it possesses, and the more phenomena it can explain in the shortest amount of space” Pg 761


    It is not to nice when one does not include the "source of the writing involved" so I will have to go and look for where I took that quote from(I believe it is the Fabric of the Universe by Brian Greene, but I can't seem to locate the book for checking).

    The idea here is to open this post entry with what was inherent in our actions "psychologically" could have had some basis in what we recognize of our relationship with nature. The relationship with the world around us. When are we most receptive to nature?

    "
    Golden Rectangle
    I took the picture at a time of day when the tide was at exactly the right place to create this image: when the surface of the water reflected the underside of the bridge and they combined, together they produced what I named the Golden Rectangle as a nod to Pythagoras (my hero). The sensation I experienced at the time was of balancing consciousness and feeling.


    By "bridging," a "whole picture materializes in reflection" in which we can "cross with" newly formed ideas. Had to have some basis in which the picture taken, may have a had a "greater meaning." How could it ever had made sense if you had not recognized what "the water to mean," and what the reflections cause us to recognize, as we learn to discover this wholeness within self?

    "Striving" to bring "this perfection" to it's rightful place amongst the inquirers? What the resulting relation of student who takes the picture, will find as they delve into the world of what the unconscious "may represent" as it reflected from the reality onto the open water. The "past reflected" to what can manifest "toward" reality.

    The future is then part of the "unconscious recognition" of what can be eventually be reflected, has some basis, before, "the past" can ever be solidified into reality?



    It is important for you to see the source of this image of the circle within circles to understand that when you "mouse over the picture" you see how the "two pictures are used" to further my points about this interaction.

    One has to follow the picture above to finally get to the source of this picture. It has been used to explain the process of distinguishing of explaining "the inner/outer" at any one time, while these processes could have transfixed us to one of it's particular domain.

    So by completing "this circle," I had too, in some way, include the idea of "symmetry of psychological action," as I had come to instill this act of "the student/teacher within each of us." Had to gain independence by growing confidence in engaging the world. That is was necessary, to not be thwarted by the restrictions of, "being less then desired," or a "broken flower pot" on this road to discovery.

    Finally, we also hope that this series furthers the discussion regarding the nature and function of 'the mandala'. In the spiritual traditions from which Jung borrowed the term, it is not the SYMMETRY of mandalas that is all-important, as Jung later led us to believe. It is their capacity to reveal the asymmetry that resides at the very heart of symmetry. By offering a new view about how consciousness itself is structured - in a fundamentally paradoxical fashion - and how these structurings are reflected in principles according to which the mandala is organized, we are able in this series to show how personality itself may be thought of as having an essentially 'liminocentric' design.



    Symmetry Breaking



    It was never my intent to confuse people by bring this "psychological action" to the forefront in relation to "science's measure of the statement," but to help people become aware of this relationship we have with reality. That you can "gain confidence within the self" to explore beyond the limitations of what science saids in terms of acceptable proofs and attempts at falsification." By setting the goals, in your explorations to discover "more about the world we live in" then just laying our heads to rest on "a medium" to take over. What does it mean to you?


    The two clocks depicted in the official logo for the CPT '04 meeting are related by the parity transformation (P). The inversion of black and white represents charge conservation (C), while time reversal (T) is represented by the movement of the hands of the clock in opposite directions.

    Friday, February 02, 2007

    Change that Had Consequences

    In the post, Hermetic Ties, I showed how historically information was engraved, crafted, into the woodcuts, for knowledge based on alchemist interests. I further explained the process as I have come to know of it in terms of developing this "inquisitive search into the mystery's of what life" is about how the questioning mind of any person can become the "way of the teacher" as well, enclosed within that same person.

    The teacher/student relation then is inherent in each of us, that we understand how one can push the other in our inquirers. Comparable to "this Arch of understanding" I spoke about.

    Geometrically, I laid this over top of the circle, mandalic in interpretation, that it served to raise the wonder in mind of what is driving this relation of the student with the world around them. "As the teacher" finding consequence to every inquisitive act, in answer.

    Such results then become the new and alternate plan to what is used to describe this new found relation. Ways in which the driving force of "wanting to learn" become an inherent "topological feature" of what begins descriptively, now has this inner/outer consequent to "expanding the frontiers of our knowledge base," inherently expanding the "fluttering of this egg of colour" that surrounds each of us.

    Debate if you will the words associated to "fluttering of this egg" and ask your self about what science has accomplished in mapping neurological sequences with the patterns of thought in relation to the condensible brain? What it might reveal of the "condensible features." Might such action also reveal in the "outer cover?"

    "In 1680, Isaac Newton worked on the abstract problem of gravity and he changed the world. In 1820, Michael Faraday discovered a connection between the exotic phenomena of electricity and magnetism and his discoveries electrified the world. Einstein's 1905 conceptual obsession with space and time led to nuclear energy and the operation of accelerators for knowledge, for cancer therapy and for machines that provide luminescent x-ray photographs of viruses and toxins. In 1897, the "useless" electron was discovered. In 1977, Fermilab discovered the bottom quark and in 1995 the top quark was found. The lessons of history are clear. The more exotic, the more abstract the knowledge, the more profound will be its consequences." Leon Lederman, from an address to the Franklin Institute, 1995


    So before this "act of change existed," the position of the student/teacher had already formed a consensus. I was looking to find this place amongst the order of such changes. It became the study I have placed myself "in" as I look to understand what scientists are saying from the "accepted position" they assume. As they work to develop "insight" and "model changes" to what we already know. To push "beyond" these boundaries of thought. The "standard model" perhaps.

    That I may give credence to what is hidden by Raphael in "his painting" is to gather a lot of perspective of the history of the times. To have them all resting on the "stairs and ladder of progression" to perfecting this relation "of the inquirer."

    The painting serves in this "mandalic sense" to represent the action of Plato and Aristotle as key figures in this relationship of "above and below." Inner and outer. Why their centralized location in the picture

    I have been short on time, so the articles that I have read are snippets of the "larger picture" while I can get back to more research.

    But the essence "is" that along with "this change with discoveries," scientists have this way about handling things. This has been reiterated by Clifford and others in science. So I just wanted to highlight this. AS part of this fundamental status of moving to ward these consequences and statement of change.

    The science press and scientists themselves do science a disservice when they seek to dramatize a discovery by emphasizing that it discredits a previous theory. Such coverage typically does not discuss whether the earlier theory was tentative or whether the new result modifies a well-established but incomplete theory. This dramatization feeds the popular image that all scientific knowledge is tentative. Much is tentative, but much is well understood and unlikely to be discredited. We scientists need to convey more about the status of our knowledge than can be learned from the muddy "most scientists believe" statement. We need our listeners to know what is tentative and what is not so that they understand better the ragged but cumulative progression of science and can use current knowledge effectively, with an understanding of its inherent uncertainties, in personal and political decision making.


    So again by giving credence to what scientists have requested by those who are of the science themself, serve as role models for what is accepted, as we investigate and report.

    To visit perspective scientists in the know, are not the way in which to say, "hey listen I have found this to be so and so," and have some "revolutionary change." To let them alone, and continue to push the boundaries of the trade by investigating the work that they do, and learn accordingly. To read what they have written, and join in by asking what you are not sure about. Of course depending on the scientist's openness to sharing of themself, realizing "the greater message" can be conveyed to the many.

    How did they get to their perspective positions that they know more then what you know and we had not assimilated the required knowledge? What is every statement saying, about what you know of the science "against" what they have learnt and we may lack the comprehensive understanding of what laws we see applied in every case.

    Under this whole post exist the thoughts then about Thomas Kuhn and the paradigm as it would have shown itself as "change that had consequence." Only now do you see this relation here while speaking about change and consequence, did you not know that it followed some rules according to some kind of model and research?

    Thomas Kuhn

    See here for more information on the person, and model perspective. The paragraph is taken to show the connection to the research work already done in the past, on my part. The label as well will reveal earlier thinking as I integrate what I understood of the philosophy, and "other perspectives" as well.

    The explanation of scientific development in terms of paradigms was not only novel but radical too, insofar as it gives a naturalistic explanation of belief-change. Naturalism was not in the early 1960s the familiar part of philosophical landscape that it has subsequently become. Kuhn's explanation contrasted with explanations in terms of rules of method (or confirmation, falsification etc.) that most philosophers of science took to be constitutive of rationality. Furthermore, the relevant disciplines (psychology, cognitive science, artificial intelligence) were either insufficiently progressed to support Kuhn's contentions concerning paradigms, or were antithetical to them (in the case of classical AI). Now that naturalism has become an accepted component of philosophy, there has recently been interest in reassessing Kuhn's work in the light of developments in the relevant sciences, many of which provide corroboration for Kuhn's claim that science is driven by relations of perceived similarity and analogy to existing problems and their solutions (Nickles 2003b, Nersessian 2003). It may yet be that a characteristically Kuhnian thesis will play a prominent part in our understanding of science.

    Tuesday, January 30, 2007

    Hermetic Ties: Art to Esoteric Form

    The father of all perfection in the whole world is here. Its force or power is entire if it be converted into Earth. Separate the Earth from the Fire, the subtle from the gross, sweetly with great industry. It ascends from the Earth to the Heavens and again it descends to the Earth and receives the force of things superior and inferior. By this means you shall have the glory of the whole world and thereby all obscurity shall fly from you. Its force is above all force, for it vanquishes every subtle thing and penetrates every solid thing. So was the world created. From this are and do come admirable adaptations, whereof the process is here in this. Hence am I called Hermes Trismegistus, having the three parts of the philosophy of the whole world. That which I have said of the operation of the Sun is accomplished and ended.Sir Isaac Newton-Translation of the Emerald Tablet
    See: Newton on Chymistry

    Again I open this blog post with the understanding that what an artist like Raphael may try to do? May include, much of the philosophy of the times, and have these things descriptively enclosing processes indicative of what they had known, but also of what these things could hide within the self.


    In center, while Plato - with the philosophy of the ideas and theoretical models, he indicates the sky, Aristotle - considered the father of Science, with the philosophy of the forms and the observation of the nature indicates the Earth. Many historians of the Art in the face correspondence of Plato with Leonardo, Heraclitus with Miguel Angel, and Euclides with Twine agree.

    If we watched of distant spot, of century XX aC emphasizes Hermes Trismegisto, - tri three, megisto megas, three times great; perhaps the perception of infinite older than we have and takes by Mercurio name - for Greek and the Toth - for the Egyptians. Considered Father of the Wisdom and Sciences in Greece, in the cult to Osiris it presided over the ceremonies as priest and he was Masterful in Egypt like legislator, philosopher and alchemist during the reign of Ninus in the 2270 aC.

    Etimológicamente speaking, of Hermes, the gr. hermenéuiein, “hermetic” - closed, “hermenéutica” - tie art to the reading of old sacred texts talks about so much to the dark as to which it is included/understood in esoteric form. Part of saberes that it accumulated transmitted through the Hermetic Books that only to the chosen ones between the chosen ones could be revealed. As much Pitágoras and Plato as Aristotle and Euclides were initiated in the knowledge of the Hermetic School.


    In Man looking into Space, I wanted to show how casual our science has used these images and not realized the context to which the greater meaning had laid hidden, all the while it is used to "describe cosmology" and the science thereof.

    A banner has been been written across these times to which scientists hold to all that is true. In this, the reasons to dismiss any implications of history assigned along side, is asking "what validation" can be given to anything that is spoken from our times now.

    I went on in that post, "man looking into space," to explain something about the woodcuts. The art form produced, grabbed my thinking in relation to the "alchemical art forms" and grabs my thinking in regards to the "School of Athens picture."


    The Yorck Project: 10.000 Meisterwerke der Malerei. DVD-ROM, 2002. ISBN 3936122202. Distributed by DIRECTMEDIA Publishing GmbH.


    I just wanted to say that the essence of this blog post is about "the arches," and I am moving toward that description, and what is happening when we take a picture of them. Look at the "design inherent" and "dynamics" as held to gravity in it's construction. Look at what it can signify in it's "internal expression" about our contact with the world around us. The bridging that it can signify.

    I would apologize for leaving this post undone, while views pass by the essence of this post. I am indeed busy with life. So I wanted to clarify this push toward the internal dynamics, while speaking to the psychology of this work.

    A scientist may side step this look, while quoting the hermetical values of what may be said by the previous first lady Hillary Clinton. In itself, an empty page, only leaves room for what had to be expressed if it was not gotten the first time? Her attempts at humour, are the attempts to break the "rigidity of the personality?"

    The Psychology



    Myths and metaphors, like dreams, are powerful tools that draw the listener, dreamer, or reader to a character, symbol, or situation, as if in recognition of something deeply known. Myth's bypass the mind's efforts to divorce information. They make an impression, are remembered, and nudge us to find out what they mean, accounting for the avid interest that Ring audiences have in the meaning of the story.1


    Who has been so colourful in your journeys across the internet to include a wonderful language that takes you into this world of discovery of self? You had to know something about the "psychology of people" in order to give a story by nature, it's mythic description, and "most artful" to draw attention to what lies underneath.

    The Alchemists attempted to perfect the One Thing of Hermes, what they called the First Matter, by using specific physical, psychological, and spiritual techniques that they describe in chemical terms and demonstrated in laboratory experiements. However, while the alchemists spoke in terms of chemcials, furaces , flasks, and beakers, they were really talking about the changes taking place within their own bodies, minds, and souls.2


    Thus I have given two examples that I had promised sometime back to illustrate some of the "compelling work" that while ancient indeed, is not without it's efforts in todays world. It is the attempt to cross all boundaries, race, gender, and help one to recognize the diversity of the soul with out it's jacket. Shall we call your soul male or female, black or white?

    So I am bypassing this, and that has been my message, while the efforts to climb out of the constraints that we have come to recognize within the boundaries of self. Are the realization of the diversity of "all souls" and their time in expression.

    Shall we find the excuse to hold ourselves to the thoughts, that while overcoming, the constraints which still exist "within" had to be continually challenged? We have to break the "chains that bind us."

    The Arches


    Golden Rectangle
    I took the picture at a time of day when the tide was at exactly the right place to create this image: when the surface of the water reflected the underside of the bridge and they combined, together they produced what I named the Golden Rectangle as a nod to Pythagoras (my hero). The sensation I experienced at the time was of balancing consciousness and feeling.


    It probably seems that it is taking time to get to the essence of this post. IN order to get to the "psychological effect" that I am getting too it important to think of the images of these arches. It is about "each of us" and how we relate to the world. How, the "teacher and student" can exist within the same person.

    I point to the Heaven's in the case of the "school of Athens, while Aristotle points to what is on Earth?" Shall we leave no doubt of the "physical things" while we understand that there are more ephemeral qualities to these matter states? That we move continuously between them?



    The Inner/Outer World

    The drawn of our focus is the external world, but, if we were to connect the internal world with that "external view" how shall we do that. How shall we describe the whole being in this exercise?

    Part of this "exchange with reality," is that we can know by continually moving this information "through us" and creating "the space around us," we add to the total view "beyond what was apparent" with just the brain's condensible qualities in neurological display?

    By 'dilating' and 'expanding' the scope of our attention we not only discover that 'form is emptiness' (the donut has a hole), but also that 'emptiness is form' (objects precipitate out of the larger 'space') - to use Buddhist terminology. The emptiness that we arrive at by narrowing our focus on the innermost is identical to the emptiness that we arrive at by expanding our focus to the outermost. The 'infinitely large' is identical to the 'infinitesimally small'.The Structure of Consciousness John Fudjack - September, 1999


    While I quote above, the second part of the quote adds directly to the understanding. Not only are we "crossing the wires here," we are identifying "a aspect of consciousness" that is continuous.

    In this metaphor, when we are seeing the donut as solid object in space, this is like ordinary everyday consciousness. When we see the donut and the hole at its center, this is like a stage of realization in which 'form' is recognized as 'empty'. When we zoom in extremely closely and inspect the 'emptiness' at the center, or zoom out an extreme distance away from the object and the donut seems to disappear and we have only empty space - this is like certain 'objectless' states of awareness that can occur in meditation. But the final goal is not to achieve the undifferentiated state itself; it is to come to the special perspective that allows us to continue to see all three aspects at once - the donut, the whole in the middle, and the space surrounding it - this is like the 'enlightened' state, in this analogy. 10 The innermost and outermost psychological 'space' (which is here a metaphor for 'concentrated attention' and 'diffused attention') are recognized as indeed the same, continuous.


    So given "this relationship" on what we can build within self, then what use all this knowledge if we cannot grow with it? What of Plato's and Aristotle, as figures within the "centre of" Raphael's painting. Their perspective, "as positions in relation too," the "questioning stance" about this "unity of the circle" in our exchange with reality?



    So how would you exemplify "this exchange" with reality while "below the surface" all these "probable outcomes" are the manifestation of that which is real? You extend yourself "out there" while you also extend yourself inside? The "infinite regress," is to find oneself, with all that is "past" in front of you, can allow you to stand on what of, "the future" will pass through?

    First Principle saids that you acknowledge your place in the scheme of things as you "stretch" the thinking of the mind? Increase the "neurological frontier" in those neurological connections? Increase, the fluttering of the egg's feature, of that condensible brain/body.

    Our attempt to justify our beliefs logically by giving reasons results in the "regress of reasons." Since any reason can be further challenged, the regress of reasons threatens to be an infinite regress. However, since this is impossible, there must be reasons for which there do not need to be further reasons: reasons which do not need to be proven. By definition, these are "first principles." The "Problem of First Principles" arises when we ask Why such reasons would not need to be proven. Aristotle's answer was that first principles do not need to be proven because they are self-evident, i.e. they are known to be true simply by understanding them.

    But, Aristotle thinks that knowledge begins with experience. We get to first principles through induction. But there is no certainty to the generalizations of induction. The "Problem of Induction" is the question How we know when we have examined enough individual cases to make an inductive generalization. Usually we can't know. Thus, to get from the uncertainty of inductive generalizations to the certainty of self-evident first principles, there must be an intuitive "leap," through what Aristotle calls "Mind." This ties the system together. A deductive system from first principles (like Euclidean geometry) is then what Aristotle calls "knowledge" ("epistemê" in Greek or "scientia" in Latin).


    From here it would not be to unlikely that such dealings with the "reality of the world" would ask that we experiment and from such experiment, we learn the truth of the reality. While what the past is "in front" of us, to what goes beyond to it's future would be like asking the very nature of expression to manifest as this universe and laws of thermodynamics that the arrow of time only moves one way.

    "The future" arises from within then? We'll move forward by what choices we make? About our conclusions, about reality?


    1 Ring of Power, Jean Shinoda Bolen, M.D. Page 3

    2The Emerald Tablet, Dennis William Hauck, Chapter 10, Page 151

    Monday, January 29, 2007

    Whose who, in the School of Athens

    I was over visiting Clifford's blog called Asymptotia this morning and notice a blog entry called, Heretics of Alexandria. Of course, what first came to mind is the "Library of Alexandria."



    Clifford writes and paraphrases:
    This full length drama, set in Alexandria Egypt, 415 A.D. features the infamous Philosopher Hypatia, who has come into possession of a document that threatens the very basis of the new religion called Christianity; a document that some would do anything to destroy. Hypatia and a powerful Christian Bishop wage a fierce struggle for the soul of a young priest and for a document which tells a very different version of the life — and death — of Jesus. A true story.
    The writing was excellent as was the cast, and Bastian should be extremely proud of himself. (It is a mistake to call it “a true story”, though. It is a story based around historical events, which should absolutely not be confused with being a “true story”. Writers of synopses should not encouarge people to mix up the two.


    So I started to do some research on the link offered by Clifford. All of a sudden I could see the many connections bringing "Hypatia of Alexandria" into the fold.


    Hypatia of Alexandria (Greek: Υπατία; c. 370–415) was an ancient philosopher, who taught in the fields of mathematics, astronomy and astrology. She lived in Alexandria, in Hellenistic Egypt.
    Hypatia was the daughter of Theon, who was also her teacher and the last fellow of the Musaeum of Alexandria. Hypatia did not teach in the Musaeum, but received her pupils in her own home. Hypatia became head of the Platonist school at Alexandria in about 400. There she lectured on mathematics and philosophy, and counted many prominent Christians among her pupils. No images of her exist, but nineteenth century writers and artists envisioned her as an Athene-like beauty.


    Many of you who visit here know how much the "School of Athens" picture means to me?

    That there was only one woman here named "Hypatia of Alexandria" of course sent me off to have a look. AS well, "more of the meaning" with regards to the Library of Alexandria.


    9.Francesco Maria I della Rovere or Hypatia of Alexandria and Parmenides


    The frescoe of the "School of Athens" has been a haunting reminder of the many things that Raphael "enclosed in meaning."


    School of Athens by Raphael


    That I could then give numbers and names to person's within the picture was equally exciting. I started to dissect parts of this picture quite a while back, opening of course with the "very centre of that painting." The labels supplied on this post entry should give links to farther posts about this.


    1: Zeno of Citium or Zeno of Elea? – 2: Epicurus – 3: Frederik II of Mantua? – 4: Anicius Manlius Severinus Boethius or Anaximander or Empedocles? – 5: Averroes – 6: Pythagoras – 7: Alcibiades or Alexander the Great? – 8: Antisthenes or Xenophon? – 9: Hypatia or the young Francesco Maria della Rovere? – 10: Aeschines or Xenophon? – 11: Parmenides? – 12: Socrates – 13: Heraclitus (painted as Michelangelo) – 14: Plato holding the Timaeus (painted as Leonardo da Vinci) – 15: Aristotle holding the Ethics – 16: Diogenes of Sinope – 17: Plotinus? – 18: Euclid or Archimedes with students (painted as Bramante)? – 19: Strabo or Zoroaster? – 20: Ptolemy – R: Raphael as Apelles – 21: Il Sodoma as Protogenes


    I now realize that with one comment entry gone( maybe both) that I really was not so out of tune. What was Plato's influence on Hypatia of Alexandria?

    Letters written to Hypatia by her pupil Synesius give an idea of her intellectual milieu. She was of the Platonic school, although her adherence to the writings of Plotinus, the 3rd century follower of Plato and principal of the neo-Platonic school, is merely assumed.


    See also:
  • No Royal Road to Geometry?

  • Euclid belonged to the persuasion of Plato and was at home in this philosophy; and this is why he thought the goal of the Elements as a whole to be the construction of the so-called Platonic figures. (Proclus, ed. Friedlein, p. 68, tr. Morrow)

    Sunday, January 28, 2007

    Man Looking into Outer Space

    "We all are of the citizens of the Sky" Camille Flammarion


    In 1858, by the set of its relations, it will allow Camille Flammarion, the 16 years age, to enter as raises astronomer at the Observatory of Paris under the orders of Urbain the Glassmaker, at the office of calculations.


    I was over at Cosmic Variance for a visit, and commented on the "woodcut" which is title by the name of the post above given by Camile Flammarion? Below a caption is produced with a



    While Daniel ask spyder what the source of this was, I am quietly doing my own research, because I have used this image myself. What did it mean?



    This picture is a copy of a "16 century woodcut" copied by Camille Flammarion in 1888.


    The Flammarion woodcut. Flammarion's caption translates to "A medieval missionary tells that he has found the point where heaven and Earth meet..."
    The widely circulated woodcut of a man poking his head through the firmament of a flat Earth to view the mechanics of the spheres, executed in the style of the 16th century cannot be traced to an earlier source than Camille Flammarion's L'Atmosphère: Météorologie Populaire (Paris, 1888, p. 163) [38]. The woodcut illustrates the statement in the text that a medieval missionary claimed that "he reached the horizon where the Earth and the heavens met", an anecdote that may be traced back to Voltaire, but not to any known medieval source. In its original form, the woodcut included a decorative border that places it in the 19th century; in later publications, some claiming that the woodcut did, in fact, date to the 16th century, the border was removed. Flammarion, according to anecdotal evidence, had commissioned the woodcut himself. In any case, no source of the image earlier than Flammarion's book is known.
    See here for larger version "with caption" that has been translated above.

    Now the interesting thing about woodcuts and what was found in my research, had to do with how "alchemical texts" can embody the "psychological process" that lent itself to the display the evolution in humanities thoughts.


    Splendor Solis ("The Splendour of the Sun") is a well-known colorful alchemical manuscript. The earliest version, written in Middle German, is dated 1532-1535 and is housed at the Prussian State Museum in Berlin. It is illuminated on vellum, with decorative borders like a book of hours, beautifully painted and heightened with gold. The later copies in London, Kassel, Paris and Nuremberg are equally fine. In all twenty copies exist worldwide.


    I will give an examples that have been retained by me, for understanding that allow me to speak on this. While I referred to the "enlightenment" and gave this answer above, I used it in context of how we see the cosmos now, given the understanding of the physics we are engaged in science.

    While relativity was applied to the cosmos at large, now, quantumly defining the nature of this cosmos, is part of this achievement that I refer too in terms of enlightenment.

    What are Woodcuts

    In Europe, Woodcut is the oldest technique used for old master prints, developing about 1400, by using on paper existing techniques for printing on cloth. The explosion of sales of cheap woodcuts in the middle of the century led to a fall in standards, and many popular prints were very crude. The development of hatching followed on rather later than in engraving. Michael Wolgemut was significant in making German woodcut more sophisticated from about 1475, and Erhard Reuwich was the first to use cross-hatching (far harder to do than in engraving or etching). Both of these produced mainly book-illustrations, as did various Italian artists who were also raising standards there at the same period. At the end of the century Albrecht Dürer brought the Western woodcut to a level that has never been surpassed, and greatly increased the status of the single-leaf (ie an image sold separately) woodcut.

    As woodcut can be easily printed together with movable type, because both are relief-printed, it was the main medium for book illustrations until the late-sixteenth century. The first woodcut book illustration dates to about 1461, only a few years after the beginning of printing with movable type, printed by Albrecht Pfister in Bamberg. Woodcut was used less often for individual ("single-leaf") fine-art prints from about 1550 until the late nineteenth-century, when interest revived. It continued to be important for popular prints until the nineteenth century in most of Europe, and later in some places


    I refer to the psychological basis of what these woodcuts can mean from an early historical perspective. By studing methods used I came to learn of what this could mean "not from producing gold from lead" but of what this could mean in terms of applying ourselves and conducting our selves, as a commitment to being better human beings.

    This new compound of thought is difficult to understand and apply in our everyday affairs. The Swiss psychiatrist C. G. Jung went perhaps further than any other researcher to extract the psychological wisdom embedded in alchemy and make it available to the modern world. Through his work we learn how alchemy can be used as a powerful means of psychological transformation, personal empowerment and spiritual adventure. Individuation is the real gold sought by true alchemists. Yet, for all his genius, Jung's writings are complex and oftentimes as difficult to read as the alchemical literature. A thorough knowledge of analytic psychology, theology, symbolism and mythology is required to appreciate the depth of Jung's insights. Adding to this challenge is the rapid rate that science and technology have advanced since Jung's death. We live in a New World. Especially with the findings of quantum physics -many of which validate old philosophical truths- the time is ripe for a fresh interpretation of alchemy and how we can apply its powerful recipes to the challenges of contemporary life.

    The Mathematikoi had Synesthesia?


    Pythagoreanism is a term used for the esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were much influenced by mathematics and probably a main inspirational source for Plato and platonism.

    Later resurgence of ideas similar to those held by the early Pythagoreans are collected under the term Neopythagoreanism.

    The Pythagoreans were called mathematikoi, which means "those that study all1"


    To say it is easy in knowing where to begin, is a understatement of what has been an enormous struggle to define the world around me. Indicative of the complications of how one may have seen this world in regards to the "views of a Synesthesist," would have taxed most "science minds" if they had "this inkling" of the complexity this brings to science. Think about what is implied here when one refers to "studying it all?"

    So as I lay in the twilight hours of the mind's rest period, there are these things that I am asking of myself, as to how I may point to what is comparative in the "geometric views of science" and what is comparative to the views of that science in relation to examples given of the Synesthesist who sees from a certain position.

    Again, my mind falls back in the history of humanities evolution and while the distinctiveness of sectors of that past history, it would not be unkind to draw from that history and present the question of what a Synesthesist might have seen in relation to the numbers?


    Create and play with the most beautiful, hypnotic light illusions you have ever seen.


    I seen the above in relation to Lubos's post. It would be nice to offer the "equation correlations" to these "colour displays" in string theory?:)

    Numbers

    Are you quicker then I then to see that numbers may have had the colour attached to their very nature, that "all things" then my have had this basis of "music" and "colour association" thrown "into the mix/cross over points"" to call it the Pythagorean?

    So imagine being strapped with the job to start from some place, and move any mind to consider the complexity of "departing euclidean views" to meld with the "non-euclidean reality" assigned our everyday species to "what is natural" from straight lines and such. Has now moved to a dynamical world of "Faraday lines" Gauss's role as "teacher of Gaussian Co-ordinates" to views of his student, "Riemann?"


    This equation provides a simple relation among the three sides of a right triangle so that if the lengths of any two sides are known, the length of the third side can be found.


    Should one be so crude as to see that straight lines can have a "greater implication of design" that one would not have seen, had they not understood Gauss's work? That if you moved yourself to natures's domain, how many lines are really that straight?

    Ask your self then what is natural and what was man-made? That these straight lines are indeed an order to mankind's "ode to building and living," while there are these "other worldly visions" supplied in the "non euclidean realm" existed free from man's definition of nature.

    8.6 On Gauss's Mountains
    One of the most famous stories about Gauss depicts him measuring the angles of the great triangle formed by the mountain peaks of Hohenhagen, Inselberg, and Brocken for evidence that the geometry of space is non-Euclidean. It's certainly true that Gauss acquired geodetic survey data during his ten-year involvement in mapping the Kingdom of Hanover during the years from 1818 to 1832, and this data included some large "test triangles", notably the one connecting the those three mountain peaks, which could be used to check for accumulated errors in the smaller triangles. It's also true that Gauss understood how the intrinsic curvature of the Earth's surface would theoretically result in slight discrepancies when fitting the smaller triangles inside the larger triangles, although in practice this effect is negligible, because the Earth's curvature is so slight relative to even the largest triangles that can be visually measured on the surface. Still, Gauss computed the magnitude of this effect for the large test triangles because, as he wrote to Olbers, "the honor of science demands that one understand the nature of this inequality clearly". (The government officials who commissioned Gauss to perform the survey might have recalled Napoleon's remark that Laplace as head of the Department of the Interior had "brought the theory of the infinitely small to administration".) It is sometimes said that the "inequality" which Gauss had in mind was the possible curvature of space itself, but taken in context it seems he was referring to the curvature of the Earth's surface. 2


    The Interior Probabilities Manifests as Colour

    How foolish would I be then to tell you that "Heaven' Ephemeral Qualities," are coloured to the degrees that "gravity defines itself in time?" That "model building" had to take place, so that the understanding of where this gravity explains itself, could find correlations to humans experiencing "durations of time" within in the living of day to day.

    Again I move one back to what this "egg of fluttering does" as of physiological consequent, as the correlations of those same colours manifest in the qualities of those same thought patterns. Those experiences mapped to MRI imaging are condensible features "in the physical" do not explain the "Ephemeral Quality" assigned to each of these regions. Had one knew how to switch around the "value of consciousness" to the condensible feature as brain matter, one would have known about the happenings taking place "outside" of our bodies.

    It is here to then that I take from the "metaphysical realm" and bring it into the relations of what is happening in the physical brain. While history has shown groups who gathered to see what was happening, saw "human experiencing" as they went through these colour modes.

    1 Hemmenway, Pryia – Divine Proportion pp66, Sterling Publishing, ISBN 1-4027-3522-7
    2 Reflections on Relativity8.6 On Guass's Mountain

    Thursday, January 25, 2007

    Hippies, Rock Bands, and Woodstock

    There is a reason for this article. Bee was kind to point to this article, ""Artist on LSD" for consideration.


    2 hours 45 minutes after first dose.

    Patient tries to climb into activity box, and is generally agitated - responds slowly to the suggestion he might like to draw some more. He has become largely none verbal.

    'I am... everything is... changed... they're calling... your face... interwoven... who is...' Patient mumbles inaudibly to a tune (sounds like 'Thanks for the memory). He changes medium to Tempera.


    Now I give "my impression of what happens" from the different pictures, while the artist is under that influence.

    Every youth has their experiences in "growing up." Any youth is greatly influenced by the actions "back then/now" of "role models." Then it was like Timothy Leary below, who paved the way for some dramatic exposure to the underlying creative aspects of consciousness. "Freeing" of the focus of the mind. Influencing the "children of that time" as I look retrospect, as a mature father, husband and grandfather.

    Then names of people like "Flower" or "Pink" come to mind.


    Timothy Francis Leary, Ph.D. (October 22, 1920 – May 31, 1996) was an American writer, psychologist, and advocate of psychedelic drug research and use. As a 1960s counterculture icon, he is most famous as a proponent of the therapeutic and spiritual benefits of LSD. He coined and popularized the catch phrase "Turn on, tune in, drop out."


    The reason this link of Bee's is of some significance to me, is because of a time with my elder brother. He was 4 years my senior, back around that time. The thought came to me when he proposed something that he was doing. He was young at the time, and I more so.

    You are Free to Explore Without

    Now, I have to fast forward here to what I know now, that I didn't know then. Why this "example given under the influence" is of some significance and what it means. IN "reputable hands" this kind of "LSD treatment," and I would be foolish to say that I would know the process, would have to be done under a experienced doctor of the trade. One might add here the same scenario to all situations of DR.'s who have put in their time? :)


    "All paths lead nowhere,so it is important to choose a path that has heart.-- Carlos Castenada"
    I have told you that to choose a path you must be free from fear and ambition. The desire to learn is not ambition. It is our lot as men to want to know.

    The path without a heart will turn against men and destroy them. It does not take much to die, and to seek death is to seek nothing.


    I do not sanction this kind of access to "learning the depth of consciousness" that LSD seems to open, without an "experienced guiding hand." Reading of "Carlos Castaneda" of that time, will help to make this clear.

    Mental hospital wards were evident then of the "freaking out cases" that had occurred to those who could not handle the "dramatic change in perception."

    Now ,back to what I saw in the pictures as they developed through time, are what I saw in the diary of my brother. His writing, as he was "under the influence."

    You must know, "brothers can idolize brothers older then them self." I was no exception and under his influence, I would say great care was not taken of his younger. I suspected his intelligence as he enter university, and his "own wanderings" that provoked thoughts about many things.

    It was after his death while flying through the Montana mountains, with our cousin, and his ordeal with another two people, that I came into the possession of his diary. Now, I recalled our talks, and of this experiment that he had proposed. As to where this diary is now, I am scared to say, that it is with the papers "some place."

    As I gaze through "his experiment" I must say that you had to be there, and if you had this sanity about you, then you would ask, "what connection is there to the reality you are writing or speaking?" Perhaps he was looking for the "gold, held in the secret of life," that by chance, could be gained from "there?" Where? "There," under the influence.

    No "great words" and if I had thought that there would have been this picture revealed of "6 or 7," then I would have to say, "the wording" did not reach this interesting style.

    Stretching the Brain

    Tone color is also often used as a synonym. People who experience synesthesia may see certain colors when they hear particular instruments. Helmholtz used the German Klangfarbe (tone color), and Tyndall proposed its English translation, clangtint. But both terms were disapproved of by Alexander Ellis who also discredits register and color for their pre-existing English meanings (Erickson 1975, p.7).


    So what are we doing when we find the situation "experimentally conducive" to offering a "deeper perspective" about the reality we live in? Are we providing "for a change" in how we have always thought? How we see differently, versus, the everyday reality we have become accustomed too?

    So by "stretching the brain" we are doing much more then talking about the theoretics and the metrics. We are talking about "freeing one self" from the constraints that we have applied to ourselves in terms of, what we understand, and what we "can" understand.

    If I were to say to you, that of "natural consequence" that we have assigned a "tonal perspective about life," then what would this look like? What would this mean? Surrounded by this "egg of consequence" may we see a dynamical fluttering of colors assigned to physiological happenings?

    If one were to understand the "shifting of the tonal" then one might say this would indeed mean that the perspective has been changed from where it always "focused" to where the eyes rest in "new" theoretical terrain?

    "Setting up" for new experiences, is about "experiencing life." The more you add, the more in terms of probabilites you have to draw from in terms of "correlating" experience. What you once read of this blog/book has now "new" meaning.

    Monday, January 22, 2007

    Window Into the Mind

    As we increase our knowledge of the genetic, neural and cognitive aspects of synaesthesia, we will find that we are beginning to understand the brain more completely. Researchers may wish that they possessed synaesthesia, but being able to explore a new and strange trait that may hold the answers to many fundamental questions is reward enough.



    Yellow, Red, Blue
    1925; Oil on canvas, 127x200cm; Centre Georges Pompidou, Paris
    Kandinsky, himself an accomplished musician, once said Color is the keyboard, the eyes are the harmonies, the soul is the piano with many strings. The artist is the hand that plays, touching one key or another, to cause vibrations in the soul. The concept that color and musical harmony are linked has a long history, intriguing scientists such as Sir Isaac Newton. Kandinsky used color in a highly theoretical way associating tone with timbre (the sound's character), hue with pitch, and saturation with the volume of sound. He even claimed that when he saw color he heard music.


    Over the past 35 years I have spent a considerable time doing my own research. Learning to express myself, has been very difficult to say the least.

    It is while doing this research that things seem to "overlap" as I ventured forward and finding examples, as if "analogies in nature" has been the "metaphorical struggle" that I use in "word use and comparison."

    Creating the Language

    It has accumulated from that research and integration within myself. So it is like creating and learning a "new language," while most of the time I come across as not being understood. That has been "my struggle" to get people "to see" what I am seeing? I don't get "images" in my head, but the accumulation of everything has been transposed into the way I express myself here in this blog.

    It is true without lying, certain and most true. That which is Below is like that which is Above and that which is Above is like that which is Below to do the miracles of the Only Thing. And as all things have been and arose from One by the mediation of One, so all things have their birth from this One Thing by adaptation. Sir Isaac Newton


    If I may by example give here "the idea of perfecting the self" in regards to Sir Isaac Newton. If he were to have been a alchemist, and persevered in his "psychological struggles," then what form would all his "struggles in self" have exemplified, if he "accomplished those parts of himself."

    The "colour" of his being, and the alchemical relation to psychological changes? These alway existed and "as yet" had no name?

    So from whence comes all "this energy of expression", to have been displayed as it has? In all the avenues of our "selves," that our experience has allowed that energy to manifest "this way" and "that way," and we have this "unique individual" before us, as you, or I, and "the many?" You "control the color or not" or, is it a "consequence" of this physiological process?


    Smilack says her synesthesia helps her create art, such as this piece, "Squid Row." Photo by Marcia Smilack
    Smilack belongs to the group of one to four percent of people worldwide with synesthesia, the neurological mixing of the senses. No two synesthetes have exactly the same perceptual experiences. Many perceive each number, letter of the alphabet, or day of the week as a different color. For others, sounds from the environment are always accompanied by moving geometric patterns in their "mind's eye."

    Smilack has a rare form of synesthesia that involves all of her senses—the sound of one female voice looks like a thin, bending sheet of metal, and the sight of a certain fishing shack gives her a brief taste of Neapolitan ice cream—but her artistic leanings are shared by many other synesthetes. Scientists estimate that synesthesia is about seven times more common in poets, novelists, and artists than in the rest of the population. (Some of the most famous examples include artists David Hockney and Wassily Kandinsky and writer Vladimir Nabokov.)


    Marcia Smilack:
    When you take a photograph of a reflection, you must compose your image upside down -- an odd and difficult task. Eventually, it is simply easier to give in and rely on other parts of your mind to compose the image. So, in an oxymoronic way, seeing in reflection "forces" you to let go, to trust what you feel.

    Second, these images opened a unique window into the mind of the researcher. Remember the Heisenberg Uncertainty Principle that states every object observed is changed by the experience? Well, I am the voice from the other side, the voice of the object that was watching them the whole time they were watching me. I have learned that we change each other through our interchanges. And while it is hard for me to quantify what I have learned from them, it is a great deal. Their questions and responses provide a framework onto which I can project what I intuitively know but do not usually speak.


    She has many wonderful links that I had accumulated, and more. Also check out the extensive amount of links associated with the Synesthesia Resource Center on Patricia Lynne Duffy's book web page.

    Calculus, or Feynman's Toy Models?

    Some, who possess what researchers call "conceptual synesthesia," see abstract concepts, such as units of time or mathematical operations, as shapes projected either internally or in the space around them


    So, is it out of necessity that we can "create the language" necessary to view the reality around us as it is, and how shall we do that? Sir Isaac Newton created "Calculus."

    So with this "unique perspective of synesthesia," how shall you give to the world from what began in self, and we have this "multitude of choices" as to the "fabrications" we may use from our "artistic creative design?" No choice, synesthesia just is?

    Sometimes I relate the experience of reading a book, to what is "consumed one day" was by design, our place in the scheme of understanding things. Where we have "this experience" that we can correlate. So "it" makes sense. If a person with synesthesia was to read my blog, how much more would they take from my writing, then one without?

    It is no different then our understanding of the science of things. Life can seem "mythic in proportion,", until, we understood the deeper part of the "design of reality?"

    Update:


    Nature, so endlessly creative, has managed things so that each of us, hosts of synesthesia or not, perceives a slightly different world... a world colored by our one-of-a-kind pattern of neurons and experiences" -- Patricia Lynne Duffy

    Saturday, January 20, 2007

    Radiactive Decay

    Unit Circle


    Complex numbers can be identified with points in the Euclidean plane, namely the number a + bi is identified with the point (a, b). Under this identification, the unit circle is a group under multiplication, called the circle group. This group has important applications in mathematics and science. See here.

    Just briefly showing containment of "collision process" and for later study. This is how I see this "relation of cosmic particle collisions" to incidents in "high energy collisions processes" and I wonder if this is wrong? Also pointing toward "Neutrino oscillation" as a probabilistic consequence of Quantum mechanics.

    To the Substance of this Post

    Q9 raised an issue that is of some significance to me because of the way I was "geometrically seeing these collision processes." While, I had not moved my thinking to the human factor in this process, it has in my study raised the question of what effect it has on the human populations on a personal note.

    Quasar9:
    The general effects of radon to the human body are due to its radioactivity and consequent risk of radiation-induced cancer. As an inert gas, "radon has a low solubility in body fluids which lead to a uniform distribution of the gas throughout the body" (Lindgren, 1989). Radon gas and its solid decay products are carcinogens. Some of the daughter products, especially polonium-218 and 214, from radioactive decay of radon present a radiologic hazard. Depending on the size of the particles, radon decay products can be inhaled into the lung where they undergo further radioactive decay releasing small bursts of energy in the form of alpha particles that can either cause double strand DNA breaks or create free radicals that can also damage the DNA. Also See: Radon





    The ABCs - and Xs and Zs - of Radiation

    Alpha and beta rays are particles. Gamma rays are electromagnetic radiation, like X-rays but at higher energies. Health physicists worry most about HZE cosmic rays, those with high mass (Z stands for atomic number, which also implies mass) and energy (E). They have two principal sources, the Sun and the galaxy.


    Quasar9:
    The energy of alpha particles varies, with higher energy alpha particles being emitted from larger nuclei, but most alpha particles have energies of between 3 and 7 MeV. This is a substantial amount of energy for a single particle, but their high mass means alpha particles have a lower speed (with a typical kinetic energy of 5 MeV the speed is 15,000 km/s) than any other common type of radiation (β particles, γ-rays, neutrons etc). Because of their charge and large mass, alpha particles are easily absorbed by materials and can travel only a few centimetres in air. They can be absorbed by tissue paper or the outer layers of human skin (about 40 micrometres, equivalent to a few cells deep) and so are not generally dangerous to life unless the source is ingested or inhaled. Because of this high mass and strong absorption, however, if alpha radiation does enter the body (most often because radioactive material has been inhaled or ingested), it is the most destructive form of ionizing radiation. It is the most strongly ionizing, and with large enough doses can cause any or all of the symptoms of radiation poisoning. It is estimated that chromosome damage from alpha particles is about 100 times greater than that caused by an equivalent amount of other radiation. The alpha emitter polonium-210 is suspected of playing a role in lung and bladder cancer related to tobacco smoking. Also See:Alpha Particles



    Low energy alpha particles may be completely stopped by a sheet of paper, beta particles by aluminum shielding. Gamma rays, being very high energy in nature, can only be reduced by much more substantial obstacles, such as a very thick piece of lead.

    As for types of radioactive radiation, it was found that an electric or magnetic field could split such emissions into three types of beams. For lack of better terms, the rays were given the alphabetic names alpha, beta, and gamma, names they still hold today. It was immediately obvious from the direction of electromagnetic forces that alpha rays carried a positive charge, beta rays carried a negative charge, and gamma rays were neutral. From the magnitude of deflection, it was also clear that alpha particles were much more massive than beta particles. Passing alpha rays through a thin glass membrane and trapping them in a discharge tube allowed researchers to study the emission spectrum of the resulting gas, and ultimately prove that alpha particles are in fact helium nuclei. Other experiments showed the similarity between beta radiation and cathode rays; they are both streams of electrons, and between gamma radiation and X-rays, which are both high energy electromagnetic radiation.

    Although alpha, beta, and gamma are most common, other types of decay were eventually discovered. Shortly after discovery of the neutron in 1932, it was discovered by Enrico Fermi that certain rare decay reactions give rise to neutrons as a decay particle. Isolated proton emission was also eventually observed in some elements. Shortly after the discovery of the positron in cosmic ray products, it was realized that the same process that operates in classical beta decay can also produce positrons (positron emission), analogously to negative electrons. Each of the two types of beta decay acts to move a nucleus toward a ratio of neutrons and protons which has the least energy for the combination. Finally, in a phenomenon called cluster decay, specific combinations of neutrons and protons other than alpha particles were found to occasionally spontaneously be emitted from atoms.