20 - Formalism: Light is Just Twisted Space?
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The Void Dynamics Model (VDM) “force sector” requires long-range interactions to arise
from coarse degrees of freedom without postulating fundamental gauge fields. This CF
specifies a concrete U(1) construction: an emergent gauge potential is defined as the Berry
connection of a low-energy spinor bundle (imported from the domain-wall sector), and its
curvature is identified with the electromagnetic field strength. Under locality and gauge
redundancy, the low-energy effective action admits a derivative expansion whose leading
gauge-invariant term is the Maxwell operator R FµνF µν. Two attack surfaces are treated
as decisive falsifiers: (i) the connection must yield nontrivial, gauge-invariant plaquette
curvature and predominantly transverse modes, and (ii) the emergent photon must remain
gapless (within declared tolerance), producing a Coulomb 1/r potential rather than a Yukawa
tail. Compatibility with Weinberg–Witten is treated operationally: the emergent Aµ is a
bundle connection defined only up to local phase, not a gauge-invariant Lorentz vector created
by a local operator in the same Hilbert space as the conserved current. The deliverable is a
publishable derivation plus a compact gate suite (G1–G6) that a companion notebook CFN
must implement with auditable artifacts.