The Lorenz Attractor
One of the basis of using string theory to me, was to identify, the initial conditions? It would be like talking about the weather to me that we could engage such a topic as strings and then ask, how could a quantum mechanical system ever have any certainty?
HUP makes this clear I think and needs no introduction.
If you do not have some conception of the idealization that this principle is built upon, then how would you arrive at such bubble terminologies that would have raised the circumstances of those bubbles, from a home seething?
In the diagram above we can see both stable and unstable orbits as exhibited in a discrete dynamical system; the so-called standard map also known as the Cirikov-Taylor map. The closed loops correspond to stable regions with fixed points or fixed periodic points at their centers. The hazy regions are unstable and chaotic.
Sample Orbits of the Standard Map
(x, y) --> (x + y, y - 0.971635 sin (2px)/2p)
Different orbits are assigned different colors.
Such oceans, would have been a warm place for the new born to arise, and from such conditions, the idealization of new ideas becoming ever more amazing, that they could indeed have arisen from one's own subconcious?
This would mean that a theory of everything, would have to have a common language at it's basis of existance. Such predictabiltiy if ever used, would have found such small discrepancies in the initail conditions, might become very large in the macroworld?
From the first four lessons, you have learned that in a chaotic system, using the laws of physics to make precise long-term predictions is impossible, even in theory. Making long-term predictions to any degree of precision at all would require giving the initial conditions to infinite precision.
It was Socrates' turn to look puzzled.
"Oh, wake up. You know what chaos is. Simple deterministic dynamics leading to irregular, random-looking behavior. Butterfly effect. That stuff."
Of course, I know that," Socrates said in irritation. "No, it was the idea of dynamic logic that was puzzling me. How can logic be dynamic
