Published March 10, 2026 | Version v1
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Geometric Coupling Theory — Paper 1: Gravitational Wave Burst Template from Primordial Black Hole Reverse Coupling

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First paper in the Geometric Coupling Theory (GCT) programme, extending the Interpretive Architecture (IA) corpus. Derives a gravitational wave burst template for primordial black hole reverse coupling events using a spin-precessing effective-one-body (EOB) framework at 2PN order. Demonstrates that the h+/h× polarization ratio encodes the binary mass ratio as an intrinsic observable, with numerical simulations across three mass ratios (q = 1:1, 1:3, 1:10) and full viewing-angle analysis confirming systematic scaling. Proposes that different detector orientations constitute different measurement substrates, connecting waveform observables to the substrate-relative classification framework developed in the IA corpus.

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