Patricio E. Valenzuela

Gauge Couplings in the Absolute Frame Theory: Derived Ratios, Geometric Left–Right Breaking, and the Induced-Coupling Boundary

Version of August 23rd, 2026, based on technical development within the Absolute Frame Theory programme. The Absolute Frame Theory (AFT) derives the Standard-Model gauge group as topological data of an embedding X:M->A of the observable four-dimensional manifold into a flat fourt...

Standard Model Gauge Groups as Emergent Topological Symmetries of the Higher-Dimensional Embedding Interface in Absolute Frame Theory

Version of August 23rd, 2026, following technical development within the Absolute Frame Theory programme. We show that the gauge structure SU(3)_c x SU(2)_L x U(1)_Y of the Standard Model emerges as a topological property of the embedding interface between a four-dimensional obse...

Gauge Couplings in the Absolute Frame Theory: Derived Ratios, Geometric Left–Right Breaking, and the Induced-Coupling Boundary

Version of August 23rd, 2026, based on technical development within the Absolute Frame Theory programme. The Absolute Frame Theory (AFT) derives the Standard-Model gauge group as topological data of an embedding X:M->A of the observable four-dimensional manifold into a flat fourt...

Standard Model Gauge Groups as Emergent Topological Symmetries of the Higher-Dimensional Embedding Interface in Absolute Frame Theory

Version of August 23rd, 2026, following technical development within the Absolute Frame Theory programme. We show that the gauge structure SU(3)_c x SU(2)_L x U(1)_Y of the Standard Model emerges as a topological property of the embedding interface between a four-dimensional obse...

The Capacity Regulator of Absolute Frame Theory: Complete Monotonicity, Exact Reflection Positivity, and the Invariant Channel Sector

Version of August 21st, 2026, following the development within the Absolute Frame Theory. A companion paper established finite-volume reflection positivity (RP) for the bounded-routing sector of Absolute Frame Theory (AFT). That paper also conjectured that the finite capacity of...

Reflection Positivity and a Matter-Sector Spectral Gap on the Euclidean Substratum of Absolute Frame Theory

Version of August 21st, 2026, following the development within the Absolute Frame Theory. Absolute Frame Theory (AFT) realizes its substratum 𝒜 as a flat Euclidean space. The Osterwalder–Schrader (OS) axioms and reflection positivity (RP) are therefore the native language for pas...