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The paper aims to reformulate fundamental interactions in quantum mechanics using axial fields instead of traditional vector fields.

June 28, 2026Open Access

The Axial Nature of Relativistic Quantum Interactions

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The paper aims to reformulate fundamental interactions in quantum mechanics using axial fields instead of traditional vector fields.
Introduced a kinematic and rotational formulation of interactions based on geometric algebra in Cl(4,0).
Deducted intrinsic magnetic fields and anomalous magnetic moments analytically without quantum vacuum considerations.
Extended the formalism to derive the gravitomagnetic field and explore implications for wave behavior and stability of the hydrogen atom.
An intrinsic magnetic field was deduced, aligning with the properties of the fermionic magnetic moment.
The fine-structure constant emerged as a governing parameter for spatial equilibrium, resolving the self-energy paradox.
Wave-particle duality was interpreted as geometric phase modulation rather than superposition of waves.

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This research proposes a novel axial approach to fundamental particle interactions, revealing new implications for electromagnetism and gravity.

Domenico Sgro (2026) studied this question.

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This research proposes a novel axial approach to fundamental particle interactions, revealing new implications for electromagnetism and gravity.