Gravity from a Capacity Budget

From two elements of the Fundamental Flow Ontology apparatus — a capacity-deficit field δ(r) = GM/rc², obtained from the dilution of a closure's consumption, and two exponential projection factors e^(∓δ) forced by the logarithmic coherence potential φ = ln(c/v) — all classical tests of general relativity are reproduced numerically, without any tensor apparatus: light deflection at the Sun (1.7512″), the Cassini Shapiro delay (262.42 μs, γ = 1), Mercury's perihelion advance (42.95–42.98″/century, verified along five independent routes), the GPS clock correction (+38.6 μs/day), and the Pound–Rebka shift (2.458·10⁻¹⁵). A control computation with the deficit acting on the time projection alone yields the Newtonian halves and is excluded by measurement at the 2.3·10⁻⁵ level: the factor of 2 is structurally forced, not inserted, and the exponential form fixes the second order with no free parameter. In the strong field the construction predicts a photon sphere at exactly 2 GM/c² and a shadow 4.6 % larger than Schwarzschild — inside current EHT error bands, decidable by next-generation instruments — and asymptotic saturation in place of a horizon. The practical section reproduces the GPS factory frequency offset of IS-GPS-200 to five significant figures from two budget draws. All scripts are attached; every number is verifiable in minutes.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-12
DOI
https://doi.org/10.5281/zenodo.20671425
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

Gravity from a Capacity Budget

Filip Svoboda
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Gravity from a Capacity Budget

Filip Svoboda
preprint en

Abstract

From two elements of the Fundamental Flow Ontology apparatus — a capacity-deficit field δ(r) = GM/rc², obtained from the dilution of a closure's consumption, and two exponential projection factors e^(∓δ) forced by the logarithmic coherence potential φ = ln(c/v) — all classical tests of general relativity are reproduced numerically, without any tensor apparatus: light deflection at the Sun (1.7512″), the Cassini Shapiro delay (262.42 μs, γ = 1), Mercury's perihelion advance (42.95–42.98″/century, verified along five independent routes), the GPS clock correction (+38.6 μs/day), and the Pound–Rebka shift (2.458·10⁻¹⁵). A control computation with the deficit acting on the time projection alone yields the Newtonian halves and is excluded by measurement at the 2.3·10⁻⁵ level: the factor of 2 is structurally forced, not inserted, and the exponential form fixes the second order with no free parameter. In the strong field the construction predicts a photon sphere at exactly 2 GM/c² and a shadow 4.6 % larger than Schwarzschild — inside current EHT error bands, decidable by next-generation instruments — and asymptotic saturation in place of a horizon. The practical section reproduces the GPS factory frequency offset of IS-GPS-200 to five significant figures from two budget draws. All scripts are attached; every number is verifiable in minutes.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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Gravity from a Capacity Budget — Filip Svoboda · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS