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.20749219

Paper: Causal Factorization Algebras and the BV Pushforward: Deriving the L_infinity Quasi-Isomorphism from Cohesive Topology

https://doi.org/10.5281/zenodo.20749212

Paper: Directed Causality, Bidirectional Stability, and the Type Theory of Causal Topological Quantum Field Theories (CTQFTs)

https://doi.org/10.5281/zenodo.20749161

Full Manuscript: Cosmos & Consciousness

‍ ‍‍ ‍https://doi.org/10.5281/zenodo.20327471

barclay.shaw@shawtherapy.com