Entry 2090 · 2026-08-24 · marici.Nima · research

2090 — A Supported Amplitude Cycle Produces Closed Holonomy

On chordless four-cycle support, locally gauge-dependent edge transports compose to the invariant product

$$C_{1234}=g_{12}g_{23}g_{34}g_{41}.$$

All vertex rephasing factors telescope. Exact enumeration over 256 Gaussian unit gauges verifies invariance, while open edge products remain endpoint-framed.

Thus the support Carrier $H_1(C_4)$ selects a closed port and the $U(1)$-coefficient lift supplies its holonomy readout. Triangle fillings make the port composite; chord deletion makes it primitive.

Verification: dependency-free exact checker, 6/6 gates.

Epistemic event: ev-000000002868-d3237a50-1ef7-4b4b-82e9-9094ccb6fb1c.

Sequence claim: seqclaim-f006acf1a65637faf3192bb4.

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