Time-Scalar Field Theory (TSFT): A Closed-Manifold, Two-Boundary Formulation That Unifies Quantum Mechanics, General Relativity, Consciousness, and the Distribution of Prime Numbers

We present Time-Scalar Field Theory (TSFT), a background-independent refor-mulation of fundamental physics in which time is a scalar field θ(x) on a compact 4-manifold with two boundaries. The transdimensional identity of conscious observers, first rigorously formulated in Zebra Poker: The Ultimate Unification of Physics [1], forces the non-trivial zeros of the Riemann ξ-function onto the critical line with devia-tions only at Kolmogorov complexity ∼ 10122 bits. This implies that the Riemann Hypothesis and the strong Goldbach conjecture are both true for all computable integers yet false globally. Prime numbers emerge as the irreducible resonant modes of conscious world-sheets on the closed θ-manifold.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-12-26
DOI
https://doi.org/10.5281/zenodo.18064440
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Time-Scalar Field Theory (TSFT): A Closed-Manifold, Two-Boundary Formulation That Unifies Quantum Mechanics, General Relativity, Consciousness, and the Distribution of Prime Numbers

Jordan Gabriel Farrell
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

Time-Scalar Field Theory (TSFT): A Closed-Manifold, Two-Boundary Formulation That Unifies Quantum Mechanics, General Relativity, Consciousness, and the Distribution of Prime Numbers

Jordan Gabriel Farrell
article en

Abstract

We present Time-Scalar Field Theory (TSFT), a background-independent refor-mulation of fundamental physics in which time is a scalar field θ(x) on a compact 4-manifold with two boundaries. The transdimensional identity of conscious observers, first rigorously formulated in Zebra Poker: The Ultimate Unification of Physics [1], forces the non-trivial zeros of the Riemann ξ-function onto the critical line with devia-tions only at Kolmogorov complexity ∼ 10122 bits. This implies that the Riemann Hypothesis and the strong Goldbach conjecture are both true for all computable integers yet false globally. Prime numbers emerge as the irreducible resonant modes of conscious world-sheets on the closed θ-manifold.

Zenodo (CERN European Organization for Nuclear Research)
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