Published December 23, 2025 | Version v1
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The Broken Mirror: Reinterpreting Supersymmetry as the Phonon-Vortex Duality in a Viscous Superfluid

Description

The search for Supersymmetry (SUSY) has yielded null results at the LHC, challenging the hypothesis of TeV-scale superpartners. We propose a physical resolution within the Hydrodynamic Quantum Cosmology (HQC) framework.

Instead of doubling the particle spectrum, we identify SUSY as the hydrodynamic duality between Irrotational Flow (Bosons/Phonons) and Rotational Flow (Fermions/Vortices) in the vacuum superfluid. We demonstrate that the supersymmetric generator Q corresponds to the geometric transformation between scalar density fluctuations and topological defects.

We argue that "Supersymmetry Breaking" is not a spontaneous symmetry breaking of a field, but a kinematic consequence of the vacuum's non-zero viscosity, which enforces distinct dispersion relations for sound waves (light) and vortex rings (matter). Thus, SUSY is realized not as a mirror universe of particles, but as the fluid-dynamic mechanism converting forces into structure.

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The Broken Mirror Reinterpreting Supersymmetry as the Phonon-Vortex Duality in.pdf