Black Hole Emission Signatures from Formation Substrate: A Basin Architecture Framework

This paper proposes that black holes retain a permanent, angle-dependent memory of their formation history in the spatial permeability profile of their event horizon. Challenging the classical no-hair theorem, we argue that non-radiative soft hair degrees of freedom (Hawking, Perry, Strominger 2016) support a permanent multipole structure in the horizon permeability P(θ,φ) set by the formation substrate. Two black holes with identical mass, charge, and angular momentum but different formation pathways - spherical collapse, neutron-star merger, binary accretion, or primordial origin - should exhibit distinguishably different emission spectra. We derive the leading multipole corrections to the Hawking spectrum for each formation channel, map the resulting signals to observable frequency bands, and state falsifiable predictions testable with Einstein Telescope, AMEGO, and e-ASTROGAM. Three toy-model numerical tests are proposed, accessible to a motivated graduate student or small collaboration.