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This work aims to understand the origin of the fine-structure constant from geometric principles rather than as a parameter.

April 11, 20260 citationsOpen Access

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Vitrum Cosmicum Vacui (VCV4848).

OVOmar Ariel Vallejos

Key Points

This work aims to understand the origin of the fine-structure constant from geometric principles rather than as a parameter.
Derived the fine-structure constant from first principles as a geometric invariant.
Utilized measurements from the Cosmic Microwave Background (CMB) birefringence and spatial curvature.
Examined the geometry of a viscoelastic vacuum lattice with octahedral symmetry.
Successfully derived the fine-structure constant using the geometric properties of the vacuum lattice.
Related findings to specific measurements from the CMB and spatial curvature, enhancing understanding of its value.

Abstract

The fine-structure constant α = e 2/4πϵ0ℏc ≈ 1/137.036 is one of the most pre- cisely measured numbers in physics, yet its origin remains a fundamental mystery. In this work we derive α from rst principles, not as a free parameter, but as a geometric invariant of a viscoelastic vacuum lattice with octahedral symmetry (Oh). Using the Cosmic Microwave Background (CMB) birefringence δCMB = 0.35◦ = 0.00610865 rad measured by Planck 2018, the spatial curvature Ωk = −0.044, and the Brillouin zone geometry of the Oh lattice, we obtain...

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Vitrum Cosmicum Vacui (VCV4848).

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