DCT-BAO-01 · DCT cluster

BAO background, null propagation, and the perturbation-level programme

in Dimensional Coherence Theory

Nolan G. Parrott ORCID 0009-0009-8794-2589 Reserved DOI: 10.5281/zenodo.20032803 arXiv (primary): gr-qc

Download PDF LaTeX source (.tex) View on Zenodo

In one sentence: For homogeneous \(P(t)\) in \(\tilde g_{\mu\nu} = P\,g_{\mu\nu}\), radial photon nulls leave standard comoving \(\chi(z)\) unchanged; the legacy \(\Delta\chi^2 \approx 33.6\) figure targeted a mistaken \(D_M\) map. Late-universe falsifiers remain the perturbation-level kernels and cluster \(M_{\rm lens}/M_{\rm dyn}\).

Geometry revision : This paper and the companion observable page retract the uniform \(1/\sqrt{P_0}\) comoving-distance prescription as inconsistent with null propagation (methodology note in DCT-BAO-01). An interim Avrami \(P(z)\) branch (2026-05-04) was reverted in as non-corpus-canonical; reproduce the legacy \(\Delta\chi^2\) only via labelled audit branches in dct_desi_bao_test.py.

Read the paper

Abstract

Dimensional Coherence Theory couples matter to \(\tilde g_{\mu\nu} = P\,g_{\mu\nu}\). This deposit retracts the historical background-BAO argument based on multiplying comoving angular-diameter distances by \(1/\sqrt{P_0}\): for spatially homogeneous \(P(t)\), radial null photons satisfy \(\mathrm d\chi/\mathrm dt = 1/a(t)\) and \(P\) drops out. The published \(\Delta\chi^2 \approx 33.6\) “5.8\(\sigma\)” figure therefore targeted a geometrically inconsistent distance map. Operational statements such as \(H_{\rm phys} = H_E/\sqrt{P_0}\) must be derived from matter proper time on \(\tilde g\) and must not be inserted into the photon null integral as an ad hoc power of \(\sqrt{P}\). Background BAO from homogeneous \(P\) alone is degenerate with \(\Lambda\)CDM at the \(\chi(z)\) level; tests migrate to inhomogeneous \(P\), disformal channels, and the perturbation-level programme (\(\mu_b,\mu_{\rm DM},\Sigma\)) on a \(\Lambda\)CDM background. See the full.tex for the Jensen-bound clarification and the \(M_{\rm lens}/M_{\rm dyn}\) discriminator.

Keywords

baryon acoustic oscillationsDESIBrans-Dickeconformal frameHubble tensionperturbation-level cosmologyJensen inequalityDimensional Coherence Theory

Cite

APA

Parrott, N. G. (2026). A background-BAO no-go theorem and the perturbation-level program. Zenodo. https://doi.org/10.5281/zenodo.20032803

BibTeX

@misc{parrott_dct_bao_01_2026, author = {Parrott, Nolan G.}, title = {A background-BAO no-go theorem and the perturbation-level program}, year = {2026}, publisher = {Zenodo}, doi = {10.5281/zenodo.20032803}, url = {https://doi.org/10.5281/zenodo.20032803}, note = {DCT-BAO-01, DCT paper cluster}
}

RIS

TY - GEN
AU - Parrott, Nolan G.
PY - 2026
TI - A background-BAO no-go theorem and the perturbation-level program
PB - Zenodo
DO - 10.5281/zenodo.20032803
UR - https://doi.org/10.5281/zenodo.20032803
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.20032803.