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The Single Monad as the Minimal Magnetic Monopole: Ontological Foundations of Charge, Field, and Polarization in the Duality of Time Theory

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Preprints.org
DOI
10.20944/preprints202510.0278.v1

In the Single Monad Model (SMM) and Duality of Time Theory (DTT), the magnetic monopole is interpreted as a fundamental zero-dimensional ontological source—the Monad—whose inner-time re-creation cycles project outward to generate the physical structures of fields and charges. One-dimensional projections give rise to \( U(1) \) electric charge, two-dimensional projections yield \( SU(3) \) color charge, and three-dimensional projections correspond to \( SU(2) \) weak isospin, thus recovering the gauge symmetries of the Standard Model as necessary outcomes of projection dimensionality. The orthogonality of electric and magnetic fields in electromagnetic waves is explained as the duality of complementary projections, while polarization emerges as the geometric imprint of this duality on the Poincaré sphere. Charge quantization follows directly from the topological structure of the monopole, requiring no external quantization postulate. Furthermore, Pancharatnam--Berry phase interferometry provides an experimental probe of the underlying monopole connection in polarization space, while neutrino oscillations are interpreted as evidence of a hidden \( \mathbb{Z}_3 \) cyclic structure in inner time. Together, these results offer a unified ontological framework for understanding monopoles, charges, and polarization, while suggesting concrete experimental pathways for probing the symmetry principles that govern fundamental interactions.

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