The Energy Budget of a Bounced Core: Gravitational Release at the Aldred Limit Against the Supernova Scale

What energy does a bounce at the Aldred Limit have to dispose of? Bringing a uniform 1.4 solar mass core from a large radius to its bounce radius of 0.0 m releases a gravitational self-energy of 7.589e+59 J. That is 7.589e+15 times the canonical kinetic energy of a core-collapse supernova (1e44 J) and 25296825610841.1 times the entire neutrino energy budget of such an event (3e46 J). For a 25 solar mass core the release is 9.258e+61 J. The implication is restrictive rather than dramatic: a bounce at the Limit cannot couple its energy to an explosion with anything like full efficiency, because even the neutrino channel, the most capacious known, could carry away only a small fraction of the release on the timescales available. A Limit bounce in a stellar core must therefore return almost all of the released energy to the subsequent re-expansion of the core itself, which is precisely the behaviour that leaves the exterior, behind its horizon, undisturbed. The energy budget thus independently supports the size analysis: the bounce is an interior event with an interior energy economy. Computed from stated assumptions, not measured.