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Openai/6897769e-4ee4-800f-aba5-69cca34f701c
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=== - The bookkeeping equation dM/dt=Pabs/c2dM/dt = P_{\rm abs}/c^2dM/dt=Pabs/c2 is the natural, clean way to translate photon absorption into mass growth in QAT language: each absorbed photon contributes its energy to the shell’s stored energy; stored energy increases the local inertial/gravitational mass (via E/c2E/c^2E/c2). === * Numerically: electron rest energy can be reached by either (i) ~2×10⁵ visible photons, (ii) ~4×10⁴ UV photons, or (iii) a single ~511 keV γ photon — but only if energy is actually absorbed and retained. * For low optical fluxes (e.g. sunlight) accumulating electron rest energy on a tiny boundary is extremely slow (thousands → hundreds of thousands of years unless scattering cross-sections or intensities are much larger than geometric area predicts). Extremely intense focused lasers (or high-energy gamma sources) can deposit comparable energy on micro-to-millisecond timescales — but real physics (pair production kinematics, scattering vs absorption, recoil) must be included.
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