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Photon-Ring Retarded- Time Tomography: The Mahakal Phenomenon — arXiv:2609.05528

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.05528
License (as archived): CC0-1.0
Archived: 2026-10-16T16:06:49.131Z
SHA-256 of the archived text: 0cd2cb48b9e347f67b366108cf9968666eafe6ebc607b3500fbcd2ba37739b3c
Stable URL of this page: https://metraipolis.com/documento/dc_cd7b4612094e

How to cite

Photon-Ring Retarded- Time Tomography: The Mahakal Phenomenon — arXiv:2609.05528 — arXiv (en), https://arxiv.org/abs/2609.05528 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_cd7b4612094e (Metraipolis archive dc_cd7b4612094e, sha256 0cd2cb48b9e347f67b366108cf9968666eafe6ebc607b3500fbcd2ba37739b3c)

BibTeX

@misc{dccd7b4612094e,
  title = {Photon-Ring Retarded- Time Tomography: The Mahakal Phenomenon — arXiv:2609.05528},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.05528},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_cd7b4612094e; sha256 0cd2cb48b9e347f67b366108cf9968666eafe6ebc607b3500fbcd2ba37739b3c},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.05528. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Near-critical null geodesics generate image-order channels with distinct mappings, delays, and weights, so one observer-time data set samples multiple source epochs. We organize the inverse problem by historical reach, dimension, and held-out recovery. Using continuum-noise-consistent, matrix-free Kerr/Schwarzschild operators for orders n = 0, 1, 2, we audit 12 spin-inclination geometries. At normalized SNR0 = 100, resolved orders extend anchor-connected history beyond direct imaging in all cells by 40 M, 24 M, and one 4 M grid step at inclinations 20 degrees, 50 degrees, and 75 degrees. Operational rank rises from 153 to 202 and old-age innovation from 8.29 M to 40.72 M; complete order summation retains only 9.66 M. Compact temporal support gives an exact result: temporal basis functions outside the direct retarded-time footprint generate identically zero direct columns, while higher orders can lift those old-epoch blind blocks. Direct old-structure rank is zero, while resolved orders support 38, 93, and 185 operational directions across three classes. Yet source enrichment leaves reach nearly fixed while rank fraction and singular-value stability collapse; this is the Mahakal phenomenon. Held-out tests show bounded benefit, not a movie. Resolved orders extend stable baseline-inclusive emissivity-level span from 48 M to 80 M, but that endpoint is level dominated. On 60 histories, physical morphology error falls by 13.3 percent with TSVD and 16.4 percent with ridge. Reliable two-feature recovery fails and the stable morphology interval is zero. Complete order summation yields no material morphology gain. The positive results are therefore best-case, known-geometry image-domain benchmarks under ideal order separation; SNR0 is an operator normalization, not an observation.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-09 in astro-ph.IM).
Categorie arXiv: Instrumentation and Methods for Astrophysics (astro-ph.IM).
Pagina del lavoro: https://arxiv.org/abs/2609.05528 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T15:48:26.408Z dalla pagina https://arxiv.org/catchup/astro-ph.IM/2026-09-09?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).