Rise Times of Tidal Disruption Flares: Diffusion, Fallback and the Absence of a Ceiling Constraint

This paper computes six tidal disruption flares with published rise times from ten to forty days 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. Observed rises span 10 to 40 days, from the fast event iPTF16fnl to the slowest riser in the sample, and the diffusion-inferred envelope masses span 0.03-0.2 solar masses — the right scale for a disrupted star's bound debris, which supports the diffusion-plus-fallback reading of the rise. 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.