Registered: May 2009
Feynman's 1965 Nobel Lecture & Wolfram's NKS Chapter 9
"I did gather from my readings, however, that two things were the source of all the difficulties with the quantum electrodynamical theories. The first was an infinite energy of interaction of the electron with itself. ... The other difficulty came from some infinities which had to do with the infinite number of degrees of freedom in the field." - Richard Feynman, 1965 Nobel Lecture http://nobelprize.org/nobel_prizes/...an-lecture.html .
Is M-theory a necessary and sufficient solution for the problem of the infinite self-energy of the electron? In terms of the foundations of quantum field theory, what is the meaning of the assumption that the multiverse is a Fredkin-Wolfram information process that computes M-theory? Is the answer that the Fredkin-Wolfram model is a necessary and sufficient solution for the problem of the ambiguous self-energy of the electron?
Wolfram's model from NKS, Chapter 9, explains how to approach the problem of creating a network model underlying quantum mechanics and the Planck scale. Wolfram's breakthrough explains for the first time how to make sense of Fredkin's concepts of absolute space, time, and information.
Fredkin uses many metaphors and confusing analogies in attempting to convey his ideas. Straightforward interpretations of Fredkin's ideas seem to violate Bell's theorem. However, careful consideration might reveal considerable merit underlying Fredkin's metaphors.
Let us imagine that our universe consists of the following 5 components:
#1 a one-dimensional antimatter clock that measures the flow of information running backward in time;
#2 a one-dimensional matter clock that measures the flow of information running forward in time;
#3 a six-dimensional directional-measuring device that measures the flow of information with respect to curvature and torsion of spacetime;
#4 a three-dimensional volume-measuring device that measures the amount of information with respect to volume;
#5 an alternate-universe engine that runs the 4 Fredkin measuring-devices with respect to information.
Let us assume that the 'alternate-universe engine' is basically similar to the model described in Wolfram's "A New Kind of Science," Chapter 9. How might the remainder of the "Digital Mechanics" philosophy described in #1-#4 possess a meaning in terms of M-theory?
Matrix string theory formulates M-theory as a random matrix model. M-theory might have a good approximation by a theory that has a gauge group consisting of U(N) for some large N. If such an approximation is valid, then the group U(N) might describe the 4 Fredkin measuring devices. The 6-phase clock described in Fredkin's "Digital Mechanics" might be a counting mechanism for the 6-dimensional directional-measuring device that measures the curvature and torsion of information flow. Note that all 4 of these hypothetical Fredkin measuring devices assume some sort of weird notion of absolute space, time, and information that would depend upon the 'alternate-universe engine' for any empirical validity.
Fredkin's concept of the multiverse as a finite automaton with absolute space, time, and information might be isomorphic to a sheaf uniformization axiom. Such an axiom might establish a sheaf structure that supports uniform mapping of Einstein-Hilbert actions and Feynman actions across alternate universes.
At different times, Feynman worked with both Wolfram and Fredkin. All three of these physicists influenced each other's thinking. Feynman asked the question, "Why should it take an infiinite amount of logic to figure out what one tiny piece of space-time is going to do?" - reference from Fredkin's introduction to cellular automaton models in "Digital Mechanics," Chapter 1 http://www.digitalphilosophy.org/Ho...60/Default.aspx .
Last edited by David Brown on 12-22-2010 at 05:18 PM
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