Paper TS-AB: A Calibrated Power-Law Relation for the Hubble Constant in the FSC Framework
- 1AIT Corp. / Soul-Twin Project, Japan
Abstract
Version 1.1 (corrigendum, 2026-10-16), superseding v1.0 (DOI: 10.5281/zenodo.22136479). This version corrects and downgrades the main claim of v1; it does not reconstruct the theory. The title no longer claims a derivation of H0 from first principles.
Corrections (C1-C9). [C1] The energy-density exponent alpha_FSC is fixed by matching the observed H0 (Planck 2018); the H0 computed with it returns the input, so the relation is a calibration, not a derivation, and Open Question OQ-AA-1 remains open. [C2] H0 is extremely sensitive to alpha (d ln H0 / d alpha = -70); the 0.89% residual is the rounding of alpha, and the stated sign and size of the effect of a change in alpha are corrected. [C3] The relation restates H0 t0 = 0.95. [C4] The cosmic time t0 is the observed age, not an independent determination. [C5] lambda_IV is an input condition, not derived from Z4 dynamics. [C6] alpha = 2 + 8 delta is an a posteriori fit. [C7] Statements on the Hubble tension are withdrawn. [C8] The derivation chain of cosmological parameters is withdrawn. [C9] Later papers that cite this paper are not corrected here.
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BibTeX
@misc{katakura2026paper,
title = {{Paper TS-AB: A Calibrated Power-Law Relation for the Hubble Constant in the FSC Framework}},
author = {Yoshitaka Katakura},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23414002},
url = {https://zenodo.org/records/23414002},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Paper TS-AB: A Calibrated Power-Law Relation for the Hubble Constant in the FSC Framework
AU - Yoshitaka Katakura
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23414002
UR - https://zenodo.org/records/23414002
AB - Version 1.1 (corrigendum, 2026-10-16), superseding v1.0 (DOI: 10.5281/zenodo.22136479). This version corrects and downgrades the main claim of v1; it does not reconstruct the theory. The title no longer claims a derivation of H0 from first principles. Corrections (C1-C9). [C1] The energy-density exponent alpha_FSC is fixed by matching the observed H0 (Planck 2018); the H0 computed with it returns the input, so the relation is a calibration, not a derivation, and Open Question OQ-AA-1 remains open. [C2] H0 is extremely sensitive to alpha (d ln H0 / d alpha = -70); the 0.89% residual is the rounding of alpha, and the stated sign and size of the effect of a change in alpha are corrected. [C3] The relation restates H0 t0 = 0.95. [C4] The cosmic time t0 is the observed age, not an independent determination. [C5] lambda_IV is an input condition, not derived from Z4 dynamics. [C6] alpha = 2 + 8 delta is an a posteriori fit. [C7] Statements on the Hubble tension are withdrawn. [C8] The derivation chain of cosmological parameters is withdrawn. [C9] Later papers that cite this paper are not corrected here.
ER -