Fractional Quantum Hall--Like Sector Structure as Spatial Phase Closure of the Existence Equation

Incheon Medical Center

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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

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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