A Cosmological Bragg Law: Interpreting the CMB as a Diffractogram of Foliated Spacetime

TL;DR

This paper introduces a novel geometric interpretation of the CMB power spectrum as a diffractogram of spacetime, proposing a cosmological Bragg law that links acoustic peaks to spacetime stratification, aligning well with observations.

Contribution

It presents a new geometric framework modeling the CMB as a diffraction pattern of foliated spacetime, inspired by crystal vibrational properties and Einstein-Cartan theory.

Findings

Predicted positions of the first four acoustic peaks match Planck data

Introduced a cosmological Bragg law linking multipoles to spacetime structure

Suggested geometric torsion influences observed CMB features

Abstract

Recent work by Ringermacher and Mead has revealed discrete oscillations in the cosmological scale factor, suggesting that spacetime may exhibit vibrational properties akin to those of a crystal. Building on this idea, we propose a novel geometric interpretation of the Cosmic Microwave Background CMB angular power spectrum by treating it as an inverted X-ray diffractogram of early spacetime. In this framework,the acoustic peaks correspond to constructive interference from a stratified, resonant structure of the universe at the time of recombination. We formulate a cosmological analogue of Bragg law, linking angular multipoles to acoustic shell spacing and comoving distance. This model predicts the positions of the first four acoustic peaks observed by the Planck satellite with remarkable accuracy.A global correction factor of near 0.9 needed to align predictions with observations, may reflect the influence of geometric torsion as described in EinsteinCartan theory. While not a replacement for full radiative transfer modeling,this approach offers a complementary geometric framework for understanding the harmonic structure of the CMB and the possible crystalline nature of primordial spacetime.