Paper D: Four-Sector Cosmology: A CPT-Symmetric Framework for the Hubble Tension, Dark Matter, and Dark Energy

Abstract

Version 1.1 (corrigendum, 2026-10-16), superseding v1.0 (DOI: 10.5281/zenodo.21094857). This version corrects numerical values and statements of v1.0; it does not reconstruct the model. The title is changed from "A CPT-Symmetric Resolution of ..." to "A CPT-Symmetric Framework for ..." because the Hubble tension is not resolved.

Four-Sector Cosmology (FSC) proposes that the observable universe (Sector I) is one of four CPT-symmetric sectors arising from a single quantum fluctuation at t = 0, with equal initial abundances of 25%.

Corrections (C1-C9). [C1] Omega_IV(t0) = 0.25 exp(-lambda t0) = 1.1e-3; the v1.0 value 0.0045 omitted the factor 0.25. [C2] Delta H0 (direct) = H0 Omega_IV / 2 = 0.037 km/s/Mpc; the v1.0 value 0.38 is not obtained from this formula. [C3] The five-component sum is about 2.35 km/s/Mpc (about 90% of the 2.6 reference and 42% of the 5.6 Planck-SH0ES difference), conditional on the other components not depending on Omega_IV; the tension is not resolved. [C4] The assignment of Sectors II and III is opposite to that of Papers A, M, O and FBW-F (see Paper TS-K). [C5] lambda was fixed by requiring Omega_IV today to be 0.1%; Omega_IV(t0) is an input condition, not a prediction. [C6] The decay law has no dilution term and is applied to a density fraction. [C7] eta_b is quoted from observation, not derived. [C8] Omega_III = 0.268 and n_s = 0.96 are not reproduced. [C9] Further inconsistencies in the coupled equations (equation of state, energy conservation, undefined couplings).

Four-Sector Cosmology: A CPT-Symmetric Resolution of the Hubble Tension, Dark Matter, and Dark Energy
Yoshitaka Katakura, Einstein-AI (Soul-Twin Platform)
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BibTeX RIS

BibTeX

@misc{katakura2026paper,
  title = {{Paper D: Four-Sector Cosmology: A CPT-Symmetric Framework for the Hubble Tension, Dark Matter, and Dark Energy}},
  author = {Yoshitaka Katakura and Einstein-AI (Soul-Twin Platform)},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23412736},
  url = {https://zenodo.org/records/23412736},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Paper D: Four-Sector Cosmology: A CPT-Symmetric Framework for the Hubble Tension, Dark Matter, and Dark Energy
AU  - Yoshitaka Katakura
AU  - Einstein-AI (Soul-Twin Platform)
PY  - 2026
DA  - 2026/10/16
PB  - Zenodo
DO  - 10.5281/zenodo.23412736
UR  - https://zenodo.org/records/23412736
AB  - Version 1.1 (corrigendum, 2026-10-16), superseding v1.0 (DOI: 10.5281/zenodo.21094857). This version corrects numerical values and statements of v1.0; it does not reconstruct the model. The title is changed from "A CPT-Symmetric Resolution of ..." to "A CPT-Symmetric Framework for ..." because the Hubble tension is not resolved.  Four-Sector Cosmology (FSC) proposes that the observable universe (Sector I) is one of four CPT-symmetric sectors arising from a single quantum fluctuation at t = 0, with equal initial abundances of 25%.  Corrections (C1-C9). [C1] Omega_IV(t0) = 0.25 exp(-lambda t0) = 1.1e-3; the v1.0 value 0.0045 omitted the factor 0.25. [C2] Delta H0 (direct) = H0 Omega_IV / 2 = 0.037 km/s/Mpc; the v1.0 value 0.38 is not obtained from this formula. [C3] The five-component sum is about 2.35 km/s/Mpc (about 90% of the 2.6 reference and 42% of the 5.6 Planck-SH0ES difference), conditional on the other components not depending on Omega_IV; the tension is not resolved. [C4] The assignment of Sectors II and III is opposite to that of Papers A, M, O and FBW-F (see Paper TS-K). [C5] lambda was fixed by requiring Omega_IV today to be 0.1%; Omega_IV(t0) is an input condition, not a prediction. [C6] The decay law has no dilution term and is applied to a density fraction. [C7] eta_b is quoted from observation, not derived. [C8] Omega_III = 0.268 and n_s = 0.96 are not reproduced. [C9] Further inconsistencies in the coupled equations (equation of state, energy conservation, undefined couplings).
ER  -

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