A Relational Unification Framework via Type III$_1$ Algebras
Year: 2026
Type: preprint
Abstract: This paper presents "Oros Fundus," a strictly background-independent relational framework in which macroscopic spacetime and matter emerge as the thermodynamic equilibrium of a purely algebraic phase transition. By abandoning pre-existing geometric manifolds, the framework demonstrates that physical reality is governed by a single variational principle: the Coherence Law (δS_vN = δ⟨K_ω⟩). From this foundational identity, the framework simultaneously derives the Einstein Field Equations, the Ryu-Takayanagi formulation, and the Weak Equivalence Principle as necessary consequences of causal horizon thermodynamics. The framework provides a parameter-free resolution to the Hubble (H0) and S8 tensions, identifying them as non-commutative algebraic parallaxes arising from the graded tensor product of the observer's measurement domain. Note on Research Cluster: This is the foundational physics manuscript of the Oros Fundus framework. It is supported by two companion papers: Mathematical Corollaries: "The Topologies of Incompleteness" [PH]. Cosmological Analysis: "The DESI Phantom Crossing as a Parameterization Artifact" (DOI: 10.5281/zenodo.19477321).
Author: Allen, J
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7154486444
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