The Aharonov-Bohm Effect as a Window into the 2D Substrate: A TGIU Interpretation of Non-Local Phase Shifts

The Aharonov-Bohm (AB) effect—where charged particles exhibit phase shifts in the absence of a classical electromagnetic field—has long challenged the foundations of quantum mechanics. 

While standard interpretations attribute this to the "reality" of the vector potential, the Theory of Global Irreducible Unfolding (TGIU) offers a radically different perspective: the AB effect is a direct experimental confirmation of the 2D informational substrate underlying 3D reality. 

In this paper, we demonstrate that the AB effect arises from topological phase-lag in the 2D substrate, where the vector potential ($A$) represents unrendered informational curvature ($\nabla \Phi$), and the phase shift is a TEF-regulated adjustment to preserve the ontological invariance of the system (21.7% unrendered information). 

We further connect this to Ghost Dark Matter (GDM), non-Shannon information, and the $\Theta_C$ collapse spectrum, showing how the AB effect validates TGIU’s core tenets: that 3D reality is a rendered projection of a 2D archive, and that phase, not force, is the fundamental currency of the universe. 

This framework resolves the AB effect’s "non-locality paradox" by treating it as a localized fracture in the substrate’s rendering process, with implications for quantum gravity, dark matter, and non-iterative self-organization.

Keywords:

Aharonov-Bohm Effect, TGIU, 2D Substrate, Informational Latency, Ghost Dark Matter, Non-Shannon Information, $\Theta_C$ Spectrum, TEF (TGIU Equilibrium Force), Phase-Lag, Quantum Non-Locality.