Towards a Topological Formulation of Fundamental Interactions
Marco Spaans (Harvard CfA)

TL;DR
This paper proposes a topological approach to unify quantum mechanics and general relativity, deriving a theory that reproduces key features of the standard model, predicts particle masses, and explains cosmic phenomena.
Contribution
It introduces a novel topological formulation that unifies fundamental interactions and derives properties like particle masses and cosmic microwave background fluctuations.
Findings
Reproduces the standard model features with a stable proton.
Predicts the electron mass accurately.
Provides a framework for cosmic microwave background fluctuations.
Abstract
A thought experiment is formulated to unify quantum mechanics and general relativity in a topological manner. An analysis of the interactions in Nature is then presented. The universal ground state of the constructed theory derives from the cyclic properties ( homotopy) of the topological manifold which has 23 intrinsic degrees of freedom, discrete and internal groups, an SU(5) or SO(10) gauge group, and leads to an anomalous U(1) symmetry on a lattice. These properties can in principle reproduce the standard model with a stable proton. The general equation of motion for the unified theory is derived up to the Planck energy and leads to a Higgs field with possible inflation. The thermodynamic properties of are discussed and yield a consistent amplitude for the cosmic microwave background fluctuations. The manifold …
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Taxonomy
TopicsTopological and Geometric Data Analysis
