Debris-Stream Densities at Pericentre: A Direct Comparison with the Aldred Density Ceiling

This paper computes penetration factors from 0.8 to 5.0 for a solar-type star and a million-solar-mass black hole and compares the resulting quantities with the density and shear ceilings set by the Aldred Limit on the neutron branch, rho_A = 9.72e54 g per cubic centimetre. At beta equal to one the stream density at pericentre is 1.99e-06 g per cubic centimetre, which is 60.7 orders of magnitude below the ceiling, at a pericentre speed of 61768 kilometres per second. Across the full set of cases examined, the astrophysical quantities remain separated from the ceilings by margins of tens of orders of magnitude, so the ceilings do not participate in the dynamics of these events; their role is that of an audit scale against which claimed extremes can be checked arithmetically. All values are computed from stated assumptions and published event properties. This study is simulated and computed, not measured.