Fractional Quantum Hall--Like Sector Structure as Spatial Phase Closure of the Existence Equation
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Abstract
Evidence Paper II of the Existence Equation series In the main paper [1], the Aharonov-Bohm effect is demonstrated directly from the Existence Equation: a 3D simulation of two parallel vortex lines shows that the closed-loop integral ∮∇Φ·dl = 2πn around any path enclosing the vortex cores, independent of loop size, position, or z-slice. The vector potential is not a separate entity acting on a particle. It is the phase gradient of the deviation field itself. The Aharonov-Bohm phase is Stokes' theorem applied to phase circulation. In the same paper, the phase stiffness energy ½A²|∇Φ|² is shown to diverge when two identical half-winding structures approach each other — a 134-fold energy barrier that constitutes…
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Topics
Keywords
- Closure (psychology)
- Fractional quantum Hall effect
- Degeneracy (biology)
- Phase (matter)
- Quantum Hall effect
- Coulomb
- Boundary (topology)
UN Sustainable Development Goals
- Reduced inequalities
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