The new view of the simulation hypothesis (see this) seems to be analogous to what the simulation of a second computer by computer means. Already in classical physics the coupling of two systems, in particular resonance coupling, produces what might be called a simulation. Complex enough simulating a simpler system can produce rather faithful simulations. This is not new but makes sense.
One can also speak of conscious simulations.
- In TGD inspired theory of consciousness all perception as a sequence of quantum measurements produces representations of an external system and the slightly non-determinism internal degrees of freedom of the space-time surface representing conscious entities can produce this kind of simulation in the more complex system, a kind of cognitive model. The hierarchy of algebraic extensions of rationals defines the entire complexity hierarchy.
- Holography = holomorphy hypothesis (see this and (see this) makes this view concrete. Consider as an example two systems described as roots of (f1,f2)=0 and say (gº nº f1,f2)=(0,0). Here fi are analytic functions of generalized complex coordinates of H=M4×CP2 (one hypercomplex coordinate is involved). The latter system has for any n at its roots also (f1,f2)=0 for g(0)=0 and the latter system can simulate the first system exactly at the space-time level. The larger the value of n, the higher the simulatory capacities. One obtains simulations and simulations of simulations of ....
- For elementary particles the p-adic length scale hypothesis stating that p-adic primes p near power of 2 are important could mean the following. Polynomials g with prime degree are of special interest since they cannot be decomposed with respect to º. For any f1,f2 defining kind of ground state one can have any prime polynomial g of prime degree p and can form iterates gºn (see this). For p = 2 or 3, one can solve the roots of the iterates gºn exactly (Galois) (see this). This exceptional feature suggests that the p-adic length scale hypothesis is true for p=2 and 3 (see and they form cognitive hierarchies by iterations. p=2 is realized in particle physics and there is evidence also for p=3 in biology (see this).
See also the video Topological Geometrodynamics and Consciousness prepared by Marko Manninen and Tuomas Sorakivi using LLM as a tool.
For a summary of earlier postings see Latest progress in TGD.
For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.
2 comments:
The space-time surface we perceive is a holographic "map" projected by our consciousness onto the infinite "territory" of the World of Classical Worlds.
One can say that concious experience involves state function reducto localizing to a wave function in WCW. Also localization in WCW as analog of position measurement in the space of "Bohr orbits" of 3-surfaces as particles can be considered.
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