The gravitational Aharonov-Bohm (AB) effect is examined in the weak-field approximation to general relativity. In analogy with the electromagnetic AB effect, we find that a gravitoelectromagnetic 4-vector potential gives rise to interference effects. A matter wave interferometry experiment, based on a modification of the gravity-induced quantum interference experiment of Colella, Overhauser and Werner (COW), is proposed to explicitly test the gravitoelectric version of the AB effect in a uniform gravitational field.
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 (
∇Φ), 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
ΘC 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,
ΘC Spectrum, TEF (TGIU Equilibrium Force), Phase-Lag, Quantum Non-Locality.