Gauge Symmetry as Closure Transport Reconstructing U(1), SU(2), and SU(3) as Infratier Coherence Regimes

Toward an Ontological Completion of the Gauge PrincipleStandard gauge theory correctly identifies force as the curvature of a connection. The present reconstruction proposes that the connection is required not first by imposed local symmetry, but by the deeper need to transport coherence across local variation.local symmetry → gauge connection → forcelocal coherence variation → closure connection → gauge symmetry → forceStandard gauge theory derives fundamental interactions by requiring matter fields to remain invariant under local internal symmetry transformations. This requirement introduces a gauge connection, whose curvature appears physically as force. While this construction is among the most successful formalisms in modern physics, it leaves open a deeper ontological question: why should local internal symmetry be physically compulsory, and why do the particular gauge structures U(1), SU(2), and SU(3) organize the known force architecture? A central claim is that local gauge symmetry is not the primitive origin of force, but the stabilized algebraic expression of a deeper closure-transport requirement. Coherent states cannot be compared across local variation without a compensating connection. The ordinary gauge connection is therefore recovered as a special case of a closure connection, and gauge curvature is reinterpreted as the physical appearance of closure curvature. Under this reconstruction, U(1), SU(2), and SU(3) are interpreted as infratier coherence regimes: phase identity closure, torsional/chiral transaction closure, and confinement/deep-localization closure, respectively. The Standard Model gauge structure is not rejected, but recovered as the effective algebra of coherence transport. The resulting framework reframes force as curvature of closure transport and positions gauge symmetry as disclosed coherence rather than as an unexplained primitive. Keywords Gauge theory; gauge symmetry; closure transport; coherence; Standard Model; U(1); SU(2); SU(3); curvature; connection; Noether theorem; infratier physics; chromoclosure dynamics; Unified Coherence Closure Framework.