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R-layer Mode Theory (RLMT)
An independent research program in theoretical cosmology by Tsuyoshi Tohi.
Since July 2026 its predictions are tested against cosmological data, and every
result is reported, including negative results and corrections.
🔷 Current status (October 2026)
Since July 2026 the theory is tested against data. The 2026 papers fit RLMT’s
predictions to Planck, ACT, DESI and Pantheon+ with public likelihoods, and
report negative results and corrections in full. Where they conflict with an
earlier Volume, the 2026 papers take precedence (see Archive below).
What the data say so far
- Primordial spectrum (RLMT-lite). Planck 2018 alone: Δχ² = +0.9, ΔAIC = +10.9.
ACT DR6 with Planck (P-ACT-lite): Δχ² = −4.4, ΔAIC = +5.6. ΛCDM is preferred
on grounds of economy; the data neither exclude nor require the three-mode mixture.
- Non-Gaussianity. f_NL = 0 in both readings of the mixture; not testable at present.
- Tensors. RLMT does not predict r at present (the direct horizon-exit reading was rejected).
- Hubble tension. Late-time Ω-layer dark-energy models fit as well as w0wa but leave
H0 at about 68–69.5 km/s/Mpc; most of the gain comes from the shape
“w = −1 today, phantom in the past”, not from the layer structure.
- Early modified gravity. The conformally coupled Layer-2 scalar is exactly dark radiation (no-go).
- Shortcuts through the R-direction. Constrained by GW170817 to be of no practical use.
🔷 Papers (2026)
- RLMT: Lindblad Cosmogenesis, SU(2) Geometry, and a Numerical Confrontation with Planck 2018 Data (parent paper, v2)
10.51094/jxiv.5386 · 10.5281/zenodo.23131099
- RLMT: A Representation-Theoretic Origin for the Mode Amplitude Coefficients, and a Negative Result for Tensor-Sector Coupling (v2)
10.51094/jxiv.6151 · 10.5281/zenodo.23131180
- RLMT and the Hubble Tension: Primordial and Late-Time Ω-Layer Tests against Planck, DESI DR2 and Pantheon+, with Methodological Corrections (v2)
10.5281/zenodo.23256418 · Jxiv 6690 under review
- RLMT: A numerical audit of hi_class for a table-driven MTFE/RLMT background: consistency identities, a regularization floor, and the resulting σ8
Jxiv 6630 under review
- RLMT: The Conformally Coupled Layer-2 Scalar Is Exactly Dark Radiation
10.5281/zenodo.23272537 · Jxiv 6786 under review
- RLMT: Does the R-Layer Define a Preferred Foliation? A Nonequilibrium Three-Mode Clock and Its Ghost-Condensate Limit
10.5281/zenodo.23274007
- RLMT: Do Shortcuts Through the R-Direction Exist? Constraints from GW170817 and the Layered Expansion of Vol. XLI-L
10.5281/zenodo.23275612
- RLMT: Reading the Primordial Fossils of RLMT-lite (v1.1)
10.5281/zenodo.23293066
Code for each paper is attached to its Zenodo record.
The ΔAIC values above count five identifiable extra parameters (error record ERR-006);
the fossil paper v1.1 already uses five; the other published versions quote values with seven and will be corrected in their next versions.
🗄 Archive (theory-only Volumes, March–July 2026)
RLMT was first written down on March 16, 2026. The Volumes from that period are
kept as the record of how the theory developed. They are theory-only and were
not fitted to data. Claims in them that the papers from July 2026 onward
(titled “RLMT: …”) test and replace include the H0 triplet of Vol. XLI and
the layer-dependent expansion rates of Vol. XLI-L.
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