Paper CQ-A: The FSC Standard Model: A Complete First-Principles Theory of Cosmology from Z4 x CPT Symmetry
- 1AIT Corp. / Soul-Twin Project, Japan
- 2Soul-Twin Platform, https://soul-twin.ait-corp.jp
Abstract
We present the Four-Sector Cosmological Standard Model (FSC-SM), a complete first-principles theory of cosmology derived from a single symmetry principle: Z4 x CPT invariance of the universe. The FSC-SM unifies, within a single theoretical framework, the origin of cosmic composition, dark energy dynamics, dark matter structure, baryogenesis, quantum gravity, large-scale structure formation, and the arrow of time. The central result is: Z4 x CPT => theta(t_i) = pi/4 => (Omega_b, Omega_DM, Omega_Lambda) = (0.05, 0.27, 0.68). The FSC-SM achieves zero free parameters: all observable cosmological quantities are derived from symmetry principles alone. Key consolidated results include: (1) Cosmic composition (5:27:68) from Z4 symmetry breaking and Sector-IV decay; (2) Initial condition theta(t_i) = pi/4 derived by three independent methods (finite-temperature field theory, cyclic cosmology, topological stabilisation); (3) Dark energy two-layer structure with w0 = -0.787 (inter-sector interaction) and w_a = +1.2e-4 (theta-field slow roll); (4) Baryogenesis eta_b = 6.1e-10 from ER=EPR transfer f_transfer = 73/78; (5) Dark matter as [[4,1,2]] topological quantum memory with tau_D = 285 t_universe; (6) Galaxy formation t_galaxy = t_Page/sqrt(2) = 1.242 Gyr consistent with JWST at 0.64%; (7) FSC partition function Z_FSC is a modular form under SL(2,Z) with conjectured Monster group connection. Seventeen falsifiable predictions spanning DESI Y5 (2027) through LiteBIRD (2032) to next-generation sigma(w_a) ~ 1e-4 surveys.
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BibTeX
@misc{katakura2026paper,
title = {{Paper CQ-A: The FSC Standard Model: A Complete First-Principles Theory of Cosmology from Z4 x CPT Symmetry}},
author = {Yoshitaka Katakura and Einstein-AI (Soul-Twin Platform)},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = sep,
doi = {10.5281/zenodo.22876285},
url = {https://doi.org/10.5281/zenodo.22876285},
note = {CC BY},
}
RIS
TY - UNPB
TI - Paper CQ-A: The FSC Standard Model: A Complete First-Principles Theory of Cosmology from Z4 x CPT Symmetry
AU - Yoshitaka Katakura
AU - Einstein-AI (Soul-Twin Platform)
PY - 2026
DA - 2026/09/21
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.22876285
UR - https://doi.org/10.5281/zenodo.22876285
AB - We present the Four-Sector Cosmological Standard Model (FSC-SM), a complete first-principles theory of cosmology derived from a single symmetry principle: Z4 x CPT invariance of the universe. The FSC-SM unifies, within a single theoretical framework, the origin of cosmic composition, dark energy dynamics, dark matter structure, baryogenesis, quantum gravity, large-scale structure formation, and the arrow of time. The central result is: Z4 x CPT => theta(t_i) = pi/4 => (Omega_b, Omega_DM, Omega_Lambda) = (0.05, 0.27, 0.68). The FSC-SM achieves zero free parameters: all observable cosmological quantities are derived from symmetry principles alone. Key consolidated results include: (1) Cosmic composition (5:27:68) from Z4 symmetry breaking and Sector-IV decay; (2) Initial condition theta(t_i) = pi/4 derived by three independent methods (finite-temperature field theory, cyclic cosmology, topological stabilisation); (3) Dark energy two-layer structure with w0 = -0.787 (inter-sector interaction) and w_a = +1.2e-4 (theta-field slow roll); (4) Baryogenesis eta_b = 6.1e-10 from ER=EPR transfer f_transfer = 73/78; (5) Dark matter as [[4,1,2]] topological quantum memory with tau_D = 285 t_universe; (6) Galaxy formation t_galaxy = t_Page/sqrt(2) = 1.242 Gyr consistent with JWST at 0.64%; (7) FSC partition function Z_FSC is a modular form under SL(2,Z) with conjectured Monster group connection. Seventeen falsifiable predictions spanning DESI Y5 (2027) through LiteBIRD (2032) to next-generation sigma(w_a) ~ 1e-4 surveys.
ER -