bounceRadius
plain-language theorem explainer
bounceRadius defines the bounce radius at recognition rung N as phi to the power N in RS-native units. Researchers predicting black-hole echoes for LIGO/Virgo catalog events cite it to fix the bounce surface scale on the recognition ladder. The definition is a direct power assignment with no additional computation.
Claim. The bounce radius at recognition rung $N$ is given by $phi^N$ in RS-native units.
background
In the Black-Hole Echo Predictions for the LIGO/Virgo Catalog module, bounceRadius names the recognition-lattice bounce radius to support echo delay predictions for merger events such as GW150914. The geodesic-completeness theorem supplies the lattice foundation, with phi the self-similar fixed point from the forcing chain. Upstream rung definitions from Compat.Constants and AsteroidOreSpectroscopy index the phi-ladder steps, while PrimitiveDistinction.from and SimplicialLedger.EdgeLengthFromPsi.is establish the structural conditions for the lattice.
proof idea
This is a one-line definition that directly assigns phi ^ N to bounceRadius N.
why it matters
This definition supplies the core scaling fed into BHEchoesCert and the echoDelay definition, which certify positivity and ratios for LIGO catalog events. It implements the bounce radius on the recognition lattice in the gravity module, connecting to the phi fixed point from T6 and the requirement that null results on N >=1 events falsify the bounce mechanism. It touches the open question of empirical confirmation via the LIGO catalog.
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