## Proof of Quark Confinement and Baryon-Antibaryon Duality: I: Gauge Symmetry Breaking in Dual 4D Fractional Quantum Hall Superfluidic Space-Time

**Authors:** Andrej E. Inopin, Nathan O. Schmidt

We prove quark (and antiquark) confinement for a baryon-antibaryon pair and design a well-defined, easy-to-visualize, and simplified mathematical framework for particle and astro physics based on experimental data. From scratch, we assemble a dual 4D space-time topology and generalized coordinate system for the Schwarzschild metric. Space-time is equipped with "fractional quantum number order parameter fields" and topological defects for the simultaneous and spontaneous breaking of several symmetries, which are used to construct the baryon wavefunction and its corresponding antisymmetric tensor. The confined baryon-antibaryon pair is directly connected to skyrmions with "massive 'Higgs-like' scalar amplitude-excitations" and "massless Nambu-Goldstone pseudo-scalar phase-excitations". Newton's second law and Einstein's relativity are combined to define a Lagrangian with effective potential and effective kinetic. We prove that our theory upgrades the prediction precision and accuracy of QCD/QED and general relativity, implements 4D versions of string theory and Witten's M-theory, and exemplifies M.C. Escher's duality.

**Comments:** 16 pages, 10 figures, published in the Hadronic Journal

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### Submission history

[v1] 2012-08-25 03:19:20

[v2] 2012-09-03 20:43:37

[v3] 2012-09-26 13:06:03

[v4] 2013-02-04 15:33:29

[v5] 2013-04-12 16:59:50

[v6] 2013-05-15 00:39:04

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