Unification of Gauge Dynamics and Gravitation through Hylodynamics
In this paper, we present a pre-metric continuum framework dubbed "Hylodynamics" in which spacetime metricity, Riemannian curvature, and Yang-Mills gauge dynamics emerge concurrently from the non-linear dynamics of s single master field. The fundamental action is strictly first-order in derivatives, defined over an unmetered four-dimensional manifold $M$ with an indefinite-metric spinor space governed by $\mathfrak{icsl}(2, \mathbb{C}) \subset \mathfrak{su}(2,2)$. Spacetime coordinates possess no prior metric, light cones, or volume measure; soldering along the translation generators pulls back the rigid internal the the Minkowski metric onto the coordinates. Spacetime emerges through this soldering and pull-back. Through the Maurer-Cartan connection, the Hilbert stress-energy tensor $T_{\mu\nu}$ is derived. The independent physical phenomena of an observer -- inertial mass flux, electromagnetic radiation, electroweak Proca mass densities, dilatonic scalar stresses, and gravitational tidal curvature -- emerge naturally as generator-specific projections of the geometry. Weak-field Einstein gravitation ($G_{\mu\nu} = 8\pi G T_{\mu\nu}$) arises without postulating an independent graviton field or external Einstein-Hilbert action. Furthermore, non-linear ($\mathcal{O}(\partial^2)$) terms arise that act to prevent gravitational collapse. Singularities are avoided as a direct condition from the framework. Finally, we show that the theory separates analytically into localized, zero-entropy compacton cores and an ambient, superimposable exterior background medium, establishing the physical foundation for gauge fields and linear quantum wave mechanics prior to operator quantization.
Authors
- John RUSNAK (ORCID: https://orcid.org/0009-0003-5796-1435)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-31
- DOI
- https://doi.org/10.5281/zenodo.23826078
- Primary Topic
- Relativity and Gravitational Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00