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: Reality as Computation: A Conceptual White Paper on the Spectral Realization Program
https://doi.org/10.5281/zenodo.22069577
Paper: Spectral Realization: A Constructive Traversal of the Differential Cohomology Hexagon
https://doi.org/10.5281/zenodo.22050502
https://doi.org/10.5281/zenodo.22179052
https://doi.org/10.5281/zenodo.22050639
Paper: Spectral Realization and Equivariant Principal infinity-Bundle Theory
Full Manuscript: Cosmos & Consciousness
barclay.shaw@shawtherapy.com