The exterior temporal structure of a black hole — regenerable diagnostics

Papers 101 and 102 did two hard things: they followed the framework's reach into the black hole and marked, honestly, where it holds and where it fails, and they ran thirty-seven intersection probes against general relativity and retired most of them as null. This paper does the constructive counterpart. It gathers, in one place, the part of the picture that is not in doubt — the exterior temporal structure of a black hole — and it backs every statement with a small, regenerable Python runner that reproduces the number from first principles or checks it against published observation. The organising claim is simple and it is the honest core of the framework's instinct: once the mass is fixed, the entire exterior is one temporal system, stretched by a single factor. The dynamical time sets the orbital periods, the photon-sphere and ISCO scales, the radial profiles of time dilation and tidal force, the finite proper time of the fall, the variability of the disc, the ringdown of a merger, and — at the far slow end — the evaporation clock. These are not independent properties; they are faces of one geometry. Everything here is observed or classical GR. Nothing is offered as proof, no TDF-specific constant is fitted to any of it, and the interior of the horizon is left exactly where the other papers leave it: unknown. This record holds one paper on its own and is refreshed every couple of months. The complete deposit, 10.5281/zenodo.21788037, holds every paper with its code and data and is updated first; for the newest version of this paper, go there.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23849219
Primary Topic
Astrophysical Phenomena and Observations
Type
preprint
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preprint

The exterior temporal structure of a black hole — regenerable diagnostics

James Norman Ibbotson
3 links
Zenodo (CERN European Organization for Nuclear Research)
Astrophysical Phenomena and Observations
preprint

The exterior temporal structure of a black hole — regenerable diagnostics

James Norman Ibbotson
preprint en

Abstract

Papers 101 and 102 did two hard things: they followed the framework's reach into the black hole and marked, honestly, where it holds and where it fails, and they ran thirty-seven intersection probes against general relativity and retired most of them as null. This paper does the constructive counterpart. It gathers, in one place, the part of the picture that is not in doubt — the exterior temporal structure of a black hole — and it backs every statement with a small, regenerable Python runner that reproduces the number from first principles or checks it against published observation. The organising claim is simple and it is the honest core of the framework's instinct: once the mass is fixed, the entire exterior is one temporal system, stretched by a single factor. The dynamical time sets the orbital periods, the photon-sphere and ISCO scales, the radial profiles of time dilation and tidal force, the finite proper time of the fall, the variability of the disc, the ringdown of a merger, and — at the far slow end — the evaporation clock. These are not independent properties; they are faces of one geometry. Everything here is observed or classical GR. Nothing is offered as proof, no TDF-specific constant is fitted to any of it, and the interior of the horizon is left exactly where the other papers leave it: unknown. This record holds one paper on its own and is refreshed every couple of months. The complete deposit, 10.5281/zenodo.21788037, holds every paper with its code and data and is updated first; for the newest version of this paper, go there.

Zenodo (CERN European Organization for Nuclear Research)
Astrophysical Phenomena and Observations
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