RLMT: Lindblad Cosmogenesis, SU(2) Geometry, and a Numerical Confrontation with Planck 2018 Data

TOHI, TSUYOSHI

doi:10.51094/jxiv.5386

##article.authors##

TOHI, TSUYOSHI Independent Researcher https://orcid.org/0009-0001-3043-5967 https://tohi308.github.io/R-layer-Mode-Theory/index.html

DOI:

https://doi.org/10.51094/jxiv.5386

キーワード:

Lindblad dynamics、 SU(2) cosmogenesis、 primordial power spectrum、 CAMB、 Cobaya、 Planck 2018、 CMB-S4 forecasts、 RLMT、 R-layer Mode Theory

抄録

We develop a unified information-geometric framework—the R-layer Mode Theory (RLMT)—in which cosmic time generation, pre-geometric cosmogenesis, and the primordial power spectrum arise from Lindblad dynamics on a finite-dimensional tension-mode layer and SU(2) group geometry. The RLMT primordial spectrum is implemented in CAMB via SplinedInitialPower and fitted to Planck 2018 TT+TE+EE+lensing data using Cobaya (64,600 accepted steps, R−1 = 0.024). The fit yields Δχ² = +12.2 relative to ΛCDM with seven additional parameters (ΔAIC = +26.2), indicating that current Planck data do not distinguish RLMT from ΛCDM. We analyze the posterior structure of RLMT-specific parameters and identify kc and ε3 as the directions where future CMB-S4 sensitivity may separate the two models. This work provides the first fully reproducible numerical confrontation between RLMT and precision CMB data.

利益相反に関する開示

The author declares no conflicts of interest.

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著者の経歴

TOHI, TSUYOSHI、Independent Researcher

Independent researcher working on higher-dimensional geometry, projection structures, and emergent spacetime. My recent work focuses on the geometric foundations of mode generation and effective field theory derived from higher-layer manifolds.

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