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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

Year: 2026
Type: preprint
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.
DOI: 10.5281/zenodo.24110596
Language: English
Open Access status: green
OpenAlex ID: W7225733344
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