The Force and Gravity of Events

TL;DR

This paper proposes a unified framework combining gravity and other fundamental forces by extending spacetime with property space, using a generalized metric and super-Ricci scalar to derive known physical Lagrangians.

Contribution

It introduces a novel unification scheme that incorporates property space into the geometric formulation of gravity and gauge fields, deriving the standard model Lagrangian from a super-Ricci scalar.

Findings

Unified geometric framework for gravity and forces

Derivation of standard model Lagrangian from super-Ricci scalar

Inclusion of cosmological constant in the unified scheme

Abstract

Local events are characterized by "where", "when" and "what". Just as (bosonic) spacetime forms the backdrop for location and time, (fermionic) property space can serve as the backdrop for the attributes of a system. With such a scenario I shall describe a scheme that is capable of unifying gravitation and the other forces of nature. The generalized metric contains the curvature of spacetime and property separately, with the gauge fields linking the bosonic and fermionic arenas. The super-Ricci scalar can then automatically yield the spacetime Lagrangian of gravitation and the standard model (plus a cosmological constant) upon integration over property coordinates.