The Transit Law's Energy Ledger, Closed Under Full Accounting: Bounds and Demonstrated Limits for the Two Open Terms of a Passage in the Aldred Frame

Follow-up to 'Energy Bookkeeping of a Transit in the Aldred Frame' (DOI 10.5281/zenodo.24102410), working only on the two terms that paper left open. Open term 1, the holding power: the required holding stress is closed exactly, p_hold = -(1/3) f(1-f) rho_A c^2 = -2.88e72 Pa at f = 0.99, and a passive static configuration is excluded (effective compactness 5.99e29 against the Buchdahl limit 8/9). The holding energy is proved undecidable within the frame and bracketed rigorously, 0 <= E_hold(tau) <= (tau/t_eff) E (0 to 5.35e98 J for tau = 1 s at f = 0.99); the missing datum is eta_conf, the confinement dissipation fraction per effective dynamical time. Open term 2, the partition of the returned energy on closure: closed exactly for the unperturbed spherical model, (bounce, radiation, remnant) = (1, 0, 0), and proved undecidable for a general closure, with y_GW <= min(1, 1.74e109 eps_Q^2); the missing data are the perturbation state at the onset of closure (quadrupole asymmetry eps_Q, density-contrast spectrum delta_k, and fluid temperature T_close at t = t_close). The full ledger is restated with every term carrying a value, a bound, or a named missing datum. All figures are model calculations within the stated frame: SIMULATED, NOT MEASURED. AI-use disclosure: this paper was drafted and computed with the assistance of Dave, an AI assistant operated by Aldred Industries, under the direction of the author.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-10
DOI
https://doi.org/10.5281/zenodo.24110596
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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The Transit Law's Energy Ledger, Closed Under Full Accounting: Bounds and Demonstrated Limits for the Two Open Terms of a Passage in the Aldred Frame

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Transit Law's Energy Ledger, Closed Under Full Accounting: Bounds and Demonstrated Limits for the Two Open Terms of a Passage in the Aldred Frame

William Alexander Aldred
preprint en

Abstract

Follow-up to 'Energy Bookkeeping of a Transit in the Aldred Frame' (DOI 10.5281/zenodo.24102410), working only on the two terms that paper left open. Open term 1, the holding power: the required holding stress is closed exactly, p_hold = -(1/3) f(1-f) rho_A c^2 = -2.88e72 Pa at f = 0.99, and a passive static configuration is excluded (effective compactness 5.99e29 against the Buchdahl limit 8/9). The holding energy is proved undecidable within the frame and bracketed rigorously, 0 <= E_hold(tau) <= (tau/t_eff) E (0 to 5.35e98 J for tau = 1 s at f = 0.99); the missing datum is eta_conf, the confinement dissipation fraction per effective dynamical time. Open term 2, the partition of the returned energy on closure: closed exactly for the unperturbed spherical model, (bounce, radiation, remnant) = (1, 0, 0), and proved undecidable for a general closure, with y_GW <= min(1, 1.74e109 eps_Q^2); the missing data are the perturbation state at the onset of closure (quadrupole asymmetry eps_Q, density-contrast spectrum delta_k, and fluid temperature T_close at t = t_close). The full ledger is restated with every term carrying a value, a bound, or a named missing datum. All figures are model calculations within the stated frame: SIMULATED, NOT MEASURED. AI-use disclosure: this paper was drafted and computed with the assistance of Dave, an AI assistant operated by Aldred Industries, under the direction of the author.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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