Patricio E. Valenzuela

From the Pilot Wave Ψ to the Wave Function ψ: Dimensional Aliasing as the Bridge Between 𝒜 and ℳ in the Absolute Frame Theory

Version of October 13th, 2026, following technical developments within the Absolute Frame Theory programme. We establish a bridge between the pilot wave Ψ on the Absolute Frame 𝒜 and the wave function ψ on the observable sub-manifold ℳ within the Absolute Frame Theory. We start f...

The Absolute Frame Theory: A Systems Architecture Approach to Unifying General Relativity and Deterministic Quantum Mechanics

Version of 1 October 2026: Technically refined preprint incorporating clarifications discovered post-submission. For over a century, theoretical physics has operated under a bifurcated paradigm, wherein General Relativity flawlessly describes the macroscopic continuous space-time...

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

Version of October 1st, 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 fou...

Information-Theoretic Bound on Macroscopic Quantum Coherence from Topological Embedding Geometry

Version of 24 September 2026: Technically refined preprint incorporating clarifications discovered post-submission. We derive a fundamental upper bound on the number of particles that can sustain quantum coherence in a maximally entangled state. The derivation uses a unified geom...

Inflation as Emergent Starobinsky Gravity in the Absolute Frame Theory: The Topological Tension as a Scalar–Tensor Field

Version of September 24th, 2026, following technical developments within the Absolute Frame Theory programme. We derive the inflationary sector of the Absolute Frame Theory (AFT) from its unified action and find that it is, to leading order, Starobinsky R² inflation, with the R²...

Inflation as Emergent Starobinsky Gravity in the Absolute Frame Theory: The Topological Tension as a Scalar–Tensor Field

Version of September 12th, 2026, following technical developments within the Absolute Frame Theory programme. We derive the inflationary sector of the Absolute Frame Theory (AFT) from its unified action and find that it is, to leading order, Starobinsky R² inflation, with the R²...

Information-Theoretic Bound on Macroscopic Quantum Coherence from Topological Embedding Geometry

Version of 12 September 2026: Technically refined preprint incorporating clarifications discovered post-submission. We derive a fundamental upper bound on the number of particles that can sustain quantum coherence in a maximally entangled state. The derivation uses a unified geom...

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

Version of September 10th, 2026, following technical development within the Absolute Frame Theory programme. We show that the gauge structure SU(3)_c × SU(2)_L × U(1)_Y of the Standard Model emerges as a topological property of the embedding interface between a four-dimensional o...

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...

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...

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...