Classical dynamics emerges as asynchronous relaxation of a gauge-invariant quadratic measure of local incompatibility between neighboring states in an evolving relational geometry.
For a plaquettef with ordered boundary ∂f= (i→j→k→ℓ→i),(A3) the plaquette holonomy is Hf(i) =T ijTjk TkℓTℓi.(A4) On general graphs without explicit faces, minimal cycles (e.g
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A Local Gauge-Covariant Formulation of Classical Dynamics
Classical dynamics emerges as asynchronous relaxation of a gauge-invariant quadratic measure of local incompatibility between neighboring states in an evolving relational geometry.