A Single Primordial Hopfion as the Origin of the CMB Quadrupole-Octupole Alignment: Sectoral Structure and Pre-Registered Chirality Predictions for LiteBIRD

We report that in the frame of the common alignment axis, the Planck SMICA quadrupole and octupole are almost purely sectoral (98.8% of l=2 power in m=±2; 93.9% of l=3 power in m=±3), prove a 75% analytic cap for any statistical Gaussian modulation (making a deterministic phase texture necessary), and propose a single primordial Hopf texture as the origin, with a two-channel architecture (l=2 via the chiral tensor channel sourced by the texture's transverse-traceless stress; l=3 via the direct cubic response) forced by three independent internal tests. Because a single coherent hopfion is maximally helical, the framework makes four falsifiable predictions for the low-l polarization sky, cryptographically sealed (OpenTimestamps, Bitcoin) before any relevant data exist: a maximally chiral infrared tensor sector; TB/EB with a single global sign constant in l; infrared confinement (l≲10); and an l-profile discriminant against cosmic birefringence. Death conditions are stated explicitly. All measurements are reproducible from public data.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-17
DOI
https://doi.org/10.5281/zenodo.21410507
Primary Topic
Cosmology and Gravitation Theories
Type
article
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article

A Single Primordial Hopfion as the Origin of the CMB Quadrupole-Octupole Alignment: Sectoral Structure and Pre-Registered Chirality Predictions for LiteBIRD

José Casado Martínez
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

A Single Primordial Hopfion as the Origin of the CMB Quadrupole-Octupole Alignment: Sectoral Structure and Pre-Registered Chirality Predictions for LiteBIRD

José Casado Martínez
article en

Abstract

We report that in the frame of the common alignment axis, the Planck SMICA quadrupole and octupole are almost purely sectoral (98.8% of l=2 power in m=±2; 93.9% of l=3 power in m=±3), prove a 75% analytic cap for any statistical Gaussian modulation (making a deterministic phase texture necessary), and propose a single primordial Hopf texture as the origin, with a two-channel architecture (l=2 via the chiral tensor channel sourced by the texture's transverse-traceless stress; l=3 via the direct cubic response) forced by three independent internal tests. Because a single coherent hopfion is maximally helical, the framework makes four falsifiable predictions for the low-l polarization sky, cryptographically sealed (OpenTimestamps, Bitcoin) before any relevant data exist: a maximally chiral infrared tensor sector; TB/EB with a single global sign constant in l; infrared confinement (l≲10); and an l-profile discriminant against cosmic birefringence. Death conditions are stated explicitly. All measurements are reproducible from public data.

Zenodo (CERN European Organization for Nuclear Research)
Hispanics in Philanthropy (US)
Openalex Percentile: Top 9%
Cosmology and Gravitation Theories
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A Single Primordial Hopfion as the Origin of the CMB Quadrupole-Octupole Alignment: Sectoral Structure and Pre-Registered Chirality Predictions for LiteBIRD — José Casado Martínez · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS