P-versus-NP-Problem (Formal Skeletal Framework)

Overview

This repository provides a formal, machine-verified framework in Lean 4 exploring the structural consequences of the P versus NP Problem ($P \neq NP$) on the emergence of subjective time and information dissipation.

Rather than claiming an algorithmic resolution to $P$ vs $NP$, this model treats $P \neq NP$ as an axiomatic complexity barrier to formally prove that bounded computational agents strictly experience time dilation stress when evaluating non-deterministic polynomial search spaces.

Formal Structure

• Complexity Classes: Models discrete information states ($\text{P}$ vs $\text{NP}$).
• Bounded Agency: Formalizes computational power constraints for observer states.
• Theorem 1 (subjective_time_emergence): Formally proves that under $P \neq NP$, processing NP-level states guarantees non-trivial subjective time dissipation ($\text{Time} > 1$).
• Theorem 2 (subjective_time_arrow): Establishes the computational arrow of time via processing asymmetry between P and NP states.
• Theorem 3 (rational_life_time_geodesic): Proves that geodesic paths across information fields necessitate subjective time perception.

"This is a personal synthesis based on my own logical framework of the cosmos."

This piece is a tribute to the original spirit of their creation. No offense is intended toward the original settings or character portrayals of the Luminaries whose eternal insights illuminated this synthesis.