Counting Cells in a Capped Interior: Planck Volumes Versus Horizon Entropy

For ten solar masses the interior holds 4.846e+77 Planck cells against 1.513e+79 horizon bits, a ratio of only 3.203e-02. For one solar mass the ratio is 3.203e-01 and for a million solar masses it drops to 3.203e-07. The capped interior therefore contains fewer Planck cells than the horizon has bits, at every mass in the scan, and the shortfall grows linearly with mass. This is a negative result, and it is stated as plainly in the abstract's terms as in the body: naive cell counting inside the cap does not reproduce horizon accounting. The comparison thus cuts against the simplest interior-storage picture. Computed from stated assumptions, not measured.