Part 13_A Structural Replacement of Quantum Electrodynamics from JS–SH Discrete Geometry and Phase-Open Dynamics

https://youtu.be/04dN8MXqPSE?si=Yo4tfJZb7uIYUVyv

https://youtu.be/QSigCsg8DC8?si=HvM4yGaey0iu-s-8

Quantum Electrodynamics (QED) is one of the most precise theories in physics, yet its internal structure relies on mathematically pathological elements: ultraviolet divergences, renormalization, virtual particles, and vacuum fluctuations introduced as postulates rather than derived mechanisms.

This work proposes a structural replacement of QED, not a reinterpretation.

We abandon the assumption of continuous spacetime and replace it with a discrete geometric substrate composed of JS-cells (Junctional Spheres) and SH-units, governed by phase-open dynamics. Within this framework, electromagnetic interaction, gauge symmetry, and radiative corrections emerge from geometric and topological constraints rather than from perturbative field quantization.

Core structural principles

• JS–AP (Anti-Phase Coupling):
  Nearest-neighbor JS-cells are forced into anti-phase rotational coupling, introducing a minimum wavelength

  λmin⁡=2a,kmax⁡=π/a\lambda_{\min}=2a, \qquad k_{\max}=\pi/aλmin=2a,kmax=π/a

  which provides a natural ultraviolet cutoff without renormalization.

• JS–NC (Neighbor Saturation):
  In isotropic 3D packing, phase transport saturates at 12 nearest neighbors, fixing the effective shell accumulation scale and yielding an intrinsic coupling strength.

• JS–FR (Frustration & Rocking):
  When perfect anti-phase locking is geometrically frustrated, localized rocking modes arise.
  These modes replace vacuum fluctuations and virtual particles as the physical origin of radiative corrections.

Main results

From these principles, the following are derived without fitting parameters or counterterms:

• A finite, closed-form expression for the electron anomalous magnetic moment:

  ae(JS)=αeff2π⋅2πarctan⁡ ⁣(Λs⋆),αeff≈112a_e^{(\mathrm{JS})} = \frac{\alpha_{\mathrm{eff}}}{2\pi} \cdot \frac{2}{\pi} \arctan\!\left(\frac{\Lambda}{s_\star}\right), \quad \alpha_{\mathrm{eff}}\approx \frac{1}{12}ae(JS)=2παeff⋅π2arctan(s⋆Λ),αeff≈121

• Correct order-of-magnitude prediction of g−2g-2g−2 using purely structural inputs.

• A geometric explanation of the Lamb shift, arising from state-dependent sensitivity to JS-cell rocking near the nucleus.

• Emergent U(1) gauge symmetry as phase re-labeling invariance of discrete domain connectivity.

• Maxwell’s equations recovered as the continuum limit of phase curvature around discrete adjacency loops.

Conceptual shift

This theory is falsifiable: it lives or dies by the stability of its numerical predictions, especially the anomalous magnetic moment and Lamb-shift structure.

QED appears here not as a fundamental theory, but as an effective continuum approximation of a deeper, discrete, phase-regulated geometry.