DCT-CMB-01 · DCT cluster

Conformal-wall invariance and CMB concordance

in Dimensional Coherence Theory

Nolan G. Parrott ORCID 0009-0009-8794-2589 Reserved DOI: 10.5281/zenodo.20032834 arXiv (primary): astro-ph.CO

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In one sentence: Why DCT does not break the CMB. The 4D conformal-wall theorem makes the Standard Model gauge sector exactly invariant under g→Pg, so Planck recombination physics is preserved.

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Abstract

The conformal-wall theorem in 4D — the conformal invariance of the Yang–Mills action under \(g_{\mu\nu}\)→ P· \(g_{\mu\nu}\) — is the structural reason that Standard Model gauge physics in Dimensional Coherence Theory (DCT) is exactly preserved at the cosmic-microwave-background (CMB) recombination epoch. Documented the theorem, its consequences for the eight independent CMB features (acoustic peak positions, peak ratios, damping tail, polarisation E-mode, TE correlation, lensing potential power spectrum, recombination history, \(N_{ eff}\)), and the resulting concordance with Planck PR3 data~ at all features simultaneously. The Planck PR3 measurement of the lensing amplitude \(A_L\) = 1.013 ± 0.023 (ACT DR6, definitive) is shown to be DCT-consistent through the relation \(A_L\) = 1/\(P_{ lens}\) with \(\bar P_{\rm lens} = 0.995\), \(f_{\rm late} = 0.036\) from the Allen–Cahn lensing-kernel split — DCT predicts A_L = 1.010, a 0.13σ HIT against ACT DR6. The Planck TT-only A_L = 1.18 excess is statistical, not physical; ACT DR6 supersedes it. The earlier corpus claim of \(A_L\) = 1.185 is RETRACTED~ and is not the value being presented; the canonical ACT DR6 \(A_L\) = 1.013 ± 0.023 is. The Goldstone \(\theta\) mode of DCT contributes \(\Delta N_{ eff}\) = 0.027 to the CMB radiation budget, detectable by CMB-S4~ at projected \(\sigma\)\(\Delta\) N_ eff = 0.03. We also document the trace-anomaly contribution to the conformal wall and its ~ \(2 \times 1\)0^{-7} effective coupling, far below any CMB-relevant signal. The paper supplies the CMB-sector content of the corpus master record~ with a focus on the conformal-wall-invariance argument that makes the DCT predictions structurally identical to \(\Lambda\)CDM at recombination while admitting a small-\(\Delta N_{ eff}\) correction at later epochs.

Keywords

cosmic microwave backgroundconformal-wall theoremA_L lensing amplitudePlanck PR3CMB-S4Brans-DickeDimensional Coherence Theory

Cite

APA

Parrott, N. G. (2026). Conformal-wall invariance and CMB concordance. Zenodo. https://doi.org/10.5281/zenodo.20032834

BibTeX 
@misc{parrott_dct_cmb_01_2026, author = {Parrott, Nolan G.}, title = {Conformal-wall invariance and CMB concordance}, year = {2026}, publisher = {Zenodo}, doi = {10.5281/zenodo.20032834}, url = {https://doi.org/10.5281/zenodo.20032834}, note = {DCT-CMB-01, DCT paper cluster}
}
RIS 
TY - GEN
AU - Parrott, Nolan G.
PY - 2026
TI - Conformal-wall invariance and CMB concordance
PB - Zenodo
DO - 10.5281/zenodo.20032834
UR - https://doi.org/10.5281/zenodo.20032834
ER -

This page is part of the public archive at dctheory.org. The PDF and .tex source above are byte-identical to the Zenodo deposit at 10.5281/zenodo.20032834.