You are making a Category Error. You are critiquing Physics with Logic.My formalization axiomatizes the Witten-Helffer-Sjöstrand regime because I am modeling COMPUTATION, not ABSTRACTION. In the real world, computation requires traversing a state space.
That traversal is governed by the Spectral Gap.The Proof Logic is rigid:1. If P=NP, then the 'Hardest Possible Landscape' must still be traverseable in Polynomial Time (Polynomial Gap).2. The 'Hardest Possible Landscape' for 3-SAT is a Multi-Well Potential (proven by the existence of local minima).
3. Spectral Geometry proves Multi-Well Potentials enforce an Exponential Gap.$n^{-k}$ cannot equal $e^{-n}$.You are asking: 'But what if there is a magical Turing Machine that ignores the Geometry?'I am answering: 'Then that machine exists outside the laws of Physics.'The axioms aren't 'wrong.' They are Constraints. If you want to believe in P=NP, you have to believe in a geometry that doesn't exist. The Compiler verified the contradiction. The result stands
- Next time we are having a conversation, how about you WAIT for my rebuttal before you "flag" my post you punk bitch?
For this guy to say "Who is Witten? Is this AI garbage?" is like a toddler walking into a Ferrari dealership and asking "Is this a real car?"
You didn't address any of my comments regarding the statements you made. (Didn't even linked Witten-Helffer-Sjöstrand (1982) you referred to. I guess it was an hallucination afterall.) You simply replicated the same statements. Won't be answering further because obviously there's no point. Believe what you want to believe. Or become acceptable to criticism, that maybe your grand AI generated science doesn't hold without becoming obsessive that you're correct, which is how real science moves forward.
P.S. Requires multiple people to flag a thread to become dead. Personally won't be flagging/downvoting (edit: cannot downvote anyway replies to own post) this one although should for being very out of context.
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