Generate an explanatory visualization of the following algorithm. Strive to create an interactive visualization that illustrates and demonstrates how the algorithm functions. Use animations, transitions and strive for an engaging as well as demonstrative demo:
P = NP via Symbolic Resonance Collapse: A Formal
Proof in the Prime Entropy Framework
Sebastian Schepis
July 2, 2025
Abstract
We present a rigorous proof that P = NP using a novel computational paradigm
based on Symbolic Resonance Collapse (SRC). In this framework, NP-complete prob-
lems are not solved through combinatorial search but through entropy-driven con-
vergence in a prime-number-encoded Hilbert space. SAT instances are modeled as
symbolic wavefunctions undergoing entropy minimization, with clause interactions
acting as quantum-like operators in a resonance field. We formally demonstrate that
these systems evolve deterministically to solution states in polynomial symbolic time,
collapsing the distinction between discovery and verification. This proof bypasses
classical limitations by redefining computation as coherence alignment rather than
stepwise enumeration.
1 Introduction
The P vs NP problem is a cornerstone of theoretical computer science, asking whether
every problem wh…
