Wednesday, November 16, 2005

Paul Dirac and Geometrical Thinking?

Into the Antiworld was originally staged at CERN inside the underground cavern that houses the Delphi experiment, in which collisions between electrons and their antiparticles - positrons - are studied. That setting must have been awe-inspiring, particularly as the show closed. The audience would have been whisked from the wonder and novelty of Dirac's theory over 70 years ago to the sophisticated particle physics experiments of today that the discovery inspired. At CERN, the curtain behind the stage ripped apart to reveal the Delphi detector the performance ended - but the gigantic photograph of the Delphi experiment that concluded the show at the Bloomsbury worked surprisingly well.

Oh what fanfare and dance is given these genius's that we find the story ends with where the future begins.

The Quantum Theory of the Electron

Paul Dirac

When one is doing mathematical work, there are essentially two different ways of thinking about the subject: the algebraic way, and the geometric way. With the algebraic way, one is all the time writing down equations and following rules of deduction, and interpreting these equations to get more equations. With the geometric way, one is thinking in terms of pictures; pictures which one imagines in space in some way, and one just tries to get a feeling for the relationships between the quantities occurring in those pictures. Now, a good mathematician has to be a master of both ways of those ways of thinking, but even so, he will have a preference for one or the other; I don't think he can avoid it. In my own case, my own preference is especially for the geometrical way.

Can one distinguish something that is of nature as the basis of reality, and see this before it is algebraically written? Jacques mention where the intuitive lines ends and where the math begins.

So from this statement then, it would have been impossible for Dirac to know what the matrices would look before it was algebraically written?

If there is "no physics" and we are defining things from the horizon or boundary, then what geometry wil be revealing of this nature? Can it be concieved as it was by Dirac?

I was thinking of Lenny Susskinds picture of the rubber band in his mind after working hard to mathematically understand. Did comprehension come by way of his mathe equations or by geometriclaly viewing?

A Talk with Leonard Susskind

Einstein said he wanted to know what was on God's mind when he made the world. I don't think he was a religious man, but I know what he means.

Albrecht Dürer and The Magic Square

So the complexity of geometrical form would have been of value if we had seen the way that it might have taken that vision into the geometrical formations of spin orientated understandings? Isomorphic relations of the orbitals relations in cosmological events?

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