What question did this study set out to answer?

This work aims to redefine quantum mechanics by proposing a deterministic framework using topological solitons.

July 10, 2026Open Access

Topological Solitons and Geometric Entanglement: Overcoming the Copenhagen Interpretation via SU(2) Phase Inversion and Micro-Torsion

FVFrancesco VicariAzienda Socio Sanitaria Territoriale Grande Ospedale Metropolitano Niguarda

Key Points

This work aims to redefine quantum mechanics by proposing a deterministic framework using topological solitons.
Proposes a mathematical model utilizing topological solitons in Einstein-Cartan spacetime with micro-torsion.
Applies the unitary phase inversion operator SU(2) to explore non-locality and wave-particle duality.
Establishes a geometric continuum as a foundation to reinterpret quantum entanglement.
Hypothesizes that non-locality is a result of lower-dimensional projections rather than intrinsic particle properties.
Introduces a deterministic approach to wave-function behavior, challenging traditional interpretations of quantum mechanics.

Abstract

For nearly a century, the Copenhagen interpretation has constrained quantum mechanics to a probabilistic framework, treating wave-function collapse stochastically and quantum entanglement as a non-local correlation devoid of geometric causality. This paper proposes a purely theoretical paradigm shift. We present a mathematical ansatz wherein fundamental particles are modeled as stable topological solitons within an Einstein-Cartan spacetime imbued with micro-torsion (Tₘicro). Applying the unitary phase inversion operator ISU (2), we hypothesize non-locality as an artifact of lower-dimensional projection. This establishes a purely deterministic, geometric framework intended to resolve the wave-particle duality and demystify quantum entanglement through topological continuum, operating strictly within the bounds of general relativistic quantum gravity.

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