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Peer review Supersymmetry from the Universal Equation - Dynamical Breaking, Generalized Index, and Spectral Predictions Witten

Livolsi, Edoardo
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philosophy
This paper shows that supersymmetry is not a contingent hypothesis of high-energy physics but a mathematically forced consequence of a closed quartic admissibility structure. Starting from a global spinorial configuration space with no external parameters, no metric, and no assumed dynamics, the admissibility criterion selects a unique minimizer and a rank–one Hessian structure. From this alone, the supercharge operators and the supersymmetry algebra emerge necessarily, without postulation. The framework also determines the supersymmetry-breaking scale dynamically, generalizes the Witten index through a global normalization constraint, and eliminates boson–fermion degeneracies, leaving only golden-ratio–stable configurations as admissible supersymmetric remnants. Supersymmetry therefore appears not as a speculative physical symmetry but as a structurally inevitable feature of any globally constrained spinorial domain. The result reframes long-standing questions about symmetry breaking, spectral structure, and the epistemic status of supersymmetric theories.
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