Simulation hypothesis and TGD

The original simulation hypothesis did not make sense to me since I find it impossible to imagine how the simulation hypothesis could solve any problem of physics or of theory of consciousness. Living systems are of course mimicking each other all the time so that conscious simulation is a very real phenomenon.

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.

1. 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.
2. 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 (g^{_º n}_º f₁,f₂)=(0,0). Here f_i 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 ….
3. 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 g^_ºn (see this). For p = 2 or 3, one can solve the roots of the iterates g^_ºn 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 the article The recent view of TGD inspired theory of consciousness and quantum biology and the video Topological Geometrodynamics and Consciousness prepared by Marko Manninen and Tuomas Sorakivi using LLM as a tool.