The Rotational Structure of Reality

The Universe Has a North Pole — From Magnet to Multiverse

Author: Mauro Yacote Caldas Year: 2026 License: Creative Commons Attribution Share Alike 4.0 International (CC BY-SA 4.0)

This work proposes a unified theoretical framework in which the two greatest unsolved problems in modern cosmology — the origin of gravity's attractive force and the origin of the accelerating cosmic expansion attributed to dark energy — are not two separate phenomena requiring two separate explanations, but two faces of a single rotational structure operating at cosmological scale.

The central argument proceeds from a well-established principle in electromagnetic engineering — the Halbach effect, in which a specific geometric arrangement of rotating magnetic sources concentrates field energy on one face of an assembly while nearly eliminating it on the opposite face — and traces this principle across thirty orders of magnitude in physical scale, from the spinning electron to the observable universe. At every scale examined, the same relationship holds without exception: rotation generates field, the field aligns with the rotation axis, and the chirality of the rotational sequence determines which face concentrates and which face disperses.

Applied at cosmological scale, this framework proposes that the universe has a preferred rotational axis — consistent with the anomalous alignment of the CMB quadrupole and octopole observed by WMAP and Planck satellites, the statistical asymmetry in spiral galaxy spin directions reported by Shamir (2020), quasar polarisation correlations, and the directional dependence of the Hubble constant — and that gravity is the strong face of the resulting cosmic Halbach structure while dark energy is the weak face. Both emerge from the same rotation. Neither requires a separate physical mechanism.

This proposal replaces the cosmological constant — whose predicted value from quantum field theory disagrees with observation by 120 orders of magnitude, the largest discrepancy in the history of physics — with a geometric consequence of cosmic rotation that evolves dynamically as the universe expands and its rotation rate decreases through conservation of angular momentum.

Specific falsifiable predictions are developed in the mathematical appendix, including the expected amplitude and directional signature of CMB anomalies, the evolution of the dark energy equation of state parameter w(z), the angular dependence of the galaxy spin asymmetry, and the directional variation of the Hubble constant. These predictions are testable with data from current and near-future surveys including Euclid, the Rubin Observatory Legacy Survey of Space and Time, and the Square Kilometre Array.

The work also connects to the author's prior Temporal-Dimensional Zero (TDZero) theoretical framework, proposing a formal correspondence between the Temporal Zero Point (T₀) — the organisational centre of temporal frame structure in TDZero theory — and the rotational axis centre of the cosmic rotation, and arguing that conscious observers exist preferentially on the strong face of the cosmic Halbach structure because gravitational concentration is the prerequisite for the complexity from which consciousness emerges.

Relationship to Prior Works

This book is the third theoretical work by the author. It should be read in conjunction with:

• The Temporal-Dimensional Zero Theory: A New Framework for Extra Dimensions and Consciousness (2025) — https://doi.org/10.5281/zenodo.16852964
• The Temporal-Dimensional Zero Zero Integration Theory: An Initial Mathematical Approach (2025) — https://doi.org/10.5281/zenodo.18343075

Together these three works form a coherent theoretical programme connecting the rotational structure of spacetime, the nature of consciousness, and the large-scale organisation of the observable universe.

Note on Independent Research

This work was produced outside any academic institution, without departmental affiliation or grant funding. The central theoretical proposal — that dark energy is the geometric weak face of a cosmic rotational Halbach structure — is a falsifiable claim with specific quantitative predictions. This book invites critical examination and empirical testing by the scientific community.