1. Problem Description (The Bug in the Current Paradigm)
The distinction between problems whose solutions can be quickly verified (NP) and quickly solved (P) is a foundational question in computer science and mathematics. The mainstream assumption is P≠NP. This assumption leads to a formal contradiction when mapped to a physical system.
2. Proposed Resolution (The SRT-Based Fix)
Within any self-consistent physical system, the information content of an effect cannot exceed the information content of its cause. The assumption P≠NP requires that a simple cause (a problem verifiable in P-time, K(H) = O(poly(n))) can have an irreducibly complex effect (a solution whose minimal description is super-polynomial, K(ψ₀) = O(superpoly(n))). This violates the information-theoretic principle of causality.
Therefore, in any physically realizable reality, P must equal NP.
3. Steps to Reproduce / Full Proof Documentation
The complete information-theoretic proof is detailed in the following manuscripts, which are permanently archived:
Primary Proof: Formal Specifications within the Theory of Scale-Relative Time (Paper #40) - https://doi.org/10.5281/zenodo.16099052
Axiomatic Context: A Unified Axiomatic Resolution of the Millennium Prize Problems (Paper #43) - https://doi.org/10.5281/zenodo.16279480
4. Challenge
This is a formal proof by contradiction. Any refutation must identify a flaw in the mapping between complexity classes and physical information theory, or demonstrate a flaw in the principle of causality itself.
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