Research
My research focuses on synthetic physics, higher category theory, and the mathematical foundations of consciousness. By applying cohesive infinity-topos theory and differential cohomology, this framework seeks to formally derive the Standard Model, General Relativity, and emergent cognitive phenomena from categorical logic and homotopy type theory.
Paper: Spectral Realization: A Constructive Traversal of the Differential Cohomology Hexagon
https://doi.org/10.5281/zenodo.20511582
Full Manuscript: Cosmos & Consciousness
barclay.shaw@shawtherapy.com