Rotational Propagation Geometry and the Origin of Gravitational Closure: A Loxodromic QMU Interpretation of Horizons, Clock-Rate Variation, and Phase Compression

Previous papers in the QMU Planck--Aether closure series demonstrated that the Planck system emerges from a bridge relation between the electron mass and the Aether maximum mass, and that the Aether maximum mass corresponds to the Schwarzschild closure condition: \[\frac{Gm_a}{c^2}=\lambda_C\] The present paper develops the physical propagation geometry underlying this closure condition. Within the Aether Physics Model (APM), propagation is interpreted as rotational and loxodromic rather than purely linear. Gravity is consequently reinterpreted as rotational phase compression within propagation geometry itself. The Ledger One identity: \[A_u \cdot \mathrm{curl}={F_q}^2{\lambda_C}^2=c^2\] is shown to define the maximum stable propagation condition of rotational space. Increasing gravitational concentration compresses available propagation-phase geometry, producing propagation delay, clock-rate variation, redshift, and horizon formation. In this interpretation, black-hole horizons correspond to closure-locked propagation boundaries rather than coordinate singularities. The Planck scale becomes a crossover geometry between localized rotational closure and maximum propagation closure. The framework additionally predicts natural ultraviolet propagation cutoffs, scalar gravitational-wave modes, rotational magnetometer effects, and closure-dependent phase phenomena accessible to experimental investigation. The central physical claim is that gravitational effects arise from rotational phase compression: \[\Phi_g \sim \frac{\partial\theta}{\partial s}\] where increasing gravitational loading corresponds to increasing rotational phase density. In this interpretation, clock-rate variation occurs as a change in propagation advancement rate within the present moment, not as movement among separate time frames. The paper further develops the scalar/longitudinal detector expression: \[\mathrm{sclw}_d^*=\frac{1}{F_q}\partial_t\partial_x\xi\] as a schematic representation of longitudinal propagation modulation in the RMFD detector framework. This third paper completes the QMU Planck--Aether closure series by moving from Planck factorization and Schwarzschild--Compton closure to the physical mechanism of gravitational closure: loxodromic rotational phase compression governed by Ledger One.

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Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-17
DOI
https://doi.org/10.5281/zenodo.20272536
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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Rotational Propagation Geometry and the Origin of Gravitational Closure: A Loxodromic QMU Interpretation of Horizons, Clock-Rate Variation, and Phase Compression

David Thomson
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Rotational Propagation Geometry and the Origin of Gravitational Closure: A Loxodromic QMU Interpretation of Horizons, Clock-Rate Variation, and Phase Compression

David Thomson
preprint en

Abstract

Previous papers in the QMU Planck--Aether closure series demonstrated that the Planck system emerges from a bridge relation between the electron mass and the Aether maximum mass, and that the Aether maximum mass corresponds to the Schwarzschild closure condition: \[\frac{Gm_a}{c^2}=\lambda_C\] The present paper develops the physical propagation geometry underlying this closure condition. Within the Aether Physics Model (APM), propagation is interpreted as rotational and loxodromic rather than purely linear. Gravity is consequently reinterpreted as rotational phase compression within propagation geometry itself. The Ledger One identity: \[A_u \cdot \mathrm{curl}={F_q}^2{\lambda_C}^2=c^2\] is shown to define the maximum stable propagation condition of rotational space. Increasing gravitational concentration compresses available propagation-phase geometry, producing propagation delay, clock-rate variation, redshift, and horizon formation. In this interpretation, black-hole horizons correspond to closure-locked propagation boundaries rather than coordinate singularities. The Planck scale becomes a crossover geometry between localized rotational closure and maximum propagation closure. The framework additionally predicts natural ultraviolet propagation cutoffs, scalar gravitational-wave modes, rotational magnetometer effects, and closure-dependent phase phenomena accessible to experimental investigation. The central physical claim is that gravitational effects arise from rotational phase compression: \[\Phi_g \sim \frac{\partial\theta}{\partial s}\] where increasing gravitational loading corresponds to increasing rotational phase density. In this interpretation, clock-rate variation occurs as a change in propagation advancement rate within the present moment, not as movement among separate time frames. The paper further develops the scalar/longitudinal detector expression: \[\mathrm{sclw}_d^*=\frac{1}{F_q}\partial_t\partial_x\xi\] as a schematic representation of longitudinal propagation modulation in the RMFD detector framework. This third paper completes the QMU Planck--Aether closure series by moving from Planck factorization and Schwarzschild--Compton closure to the physical mechanism of gravitational closure: loxodromic rotational phase compression governed by Ledger One.

Zenodo (CERN European Organization for Nuclear Research)
Dynamic Research (United States) (US)
Relativity and Gravitational Theory
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