Consciousness in a Higher Categorical Context

TL;DR

This paper introduces two dual categorical models of consciousness based on the Segal category, employing micro-reversibility and graded categories, offering a new mathematical framework for understanding consciousness.

Contribution

It presents two novel dual representations of a Segal category modeling consciousness, integrating micro-reversibility and graded categories in a higher categorical context.

Findings

The two models are mathematically dual to each other.

They provide a categorical framework for modeling consciousness phenomena.

The approach links micro-reversibility with graded categories in a novel way.

Abstract

We provide two representations of the Segal category $\mathcal{X}$ modeling natural phenomena, the first one being based on the concept of micro-reversibility, producing a long sequence $\Sigma$ of categories as a resolution of $\mathcal{X}$, the second one providing graded categories cofibered in groupoids over the categories of $\Sigma$, using the concept of consciousness as impetus. We show those two representations are dual to each other.