Explanation of an Invisible Common Constraint of Mind, Mathematics and Computational Complexity

TL;DR

This paper explores an unseen link between human cognitive limits, mathematical foundations, and computational complexity, proposing that understanding this connection can lead to complexity reduction and new insights across multiple disciplines.

Contribution

It introduces a novel perspective connecting cognitive limits, mathematical axioms, and computational complexity, supported by simple mechanical and electrical systems demonstrating complexity reduction.

Findings

Verifiable systems show complexity reduction under certain conditions

A new perspective links mind, mathematics, and complexity beyond traditional fields

Predictions made based on the proposed connection

Abstract

There is a cognitive limit in Human Mind. This cognitive limit has played a decisive role in almost all fields including computer sciences. The cognitive limit replicated in computer sciences is responsible for inherent Computational Complexity. The complexity starts decreasing if certain conditions are met, even sometime it does not appears at all. Very simple Mechanical computing systems are designed and implemented to demonstrate this idea and it is further supported by Electrical systems. These verifiable and consistent systems demonstrate the idea of computational complexity reduction. This work explains a very important but invisible connection from Mind to Mathematical axioms (Peano Axioms etc.) and Mathematical axioms to computational complexity. This study gives a completely new perspective that goes well beyond Cognitive Science, Mathematics, Physics, Computer Sciences and Philosophy. Based on this new insight some important predictions are made.