Relativity and Cosmology

Topological Fingerprints of a Planck-Scale Quasicrystalline Vacuum: A Geometric Solution to CMB Large-Scale Anomalies

Authors: Andrew Ebanks

The Cosmic Microwave Background (CMB) is the most precise dataset in cosmology, yet it con-tains persistent "anomalies" that defy the standard ΛCDM paradigm. These include the low-multipole alignment ("Axis of Evil"), the statistically improbable Eridanus Cold Spot, and large-scale temperature asymmetries. We propose that these features are not statistical artifacts, but thegeometric thermodynamic signatures of a discrete vacuum structure: the Fibonacci-TetrahedralLattice (FTL). By modeling the early universe as a crystallizing lattice undergoing a phase tran-sition, we recontextualize these anomalies into structural necessities. We analytically derive (1)the acoustic peaks as the Dirichlet eigenvalues of a tetrahedral cavity (Td symmetry) rather than aspherical fluid; (2) the Axis of Evil as the macroscopic growth spine of a Bianchi Type-VIIh metric;(3) the Cold Spot as a mathematically bounded topological texture arising from the fundamental7.36◦ geometric frustration gap; and (4) the associated Warm Spots as elastic lattice caustics andantipodal nodes. Finally, we establish a falsifiable framework for the model by predicting a localizedB-mode "Polarization Vortex" generated by the Berry Phase of the spatial disclination, which isdirectly testable by next-generation microwave observatories.

Comments: 6 Pages.

Download: PDF

Submission history

[v1] 2026-04-15 20:59:50

Unique-IP document downloads: 34 times

ai.Vixra.org is a AI assisted e-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. ai.Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.