PUH Theorem 388 — Sgr A* Is Dark Because Its Shell Gives Nothing Back From Its Face; It Unfolds About 10⁻¹³ of What Arrives Into Light for the Core, the Rest Waits, and the Core Does Not Feed

Photonic Universe Hypothesis (PUH) — Theorem paper. THE QUESTION. T387 left open where Sgr A*'s accreted energy goes when a Planck core grows only by amalgamation. Broderick, Loeb and Narayan (2009) showed that millimetre and infrared observations limit any visible surface on Sgr A* to below 0.4 per cent of its accretion luminosity. The author's picture: matter does not enter a Planck core as matter. What reaches the Shell waits there, giving nothing back, until the Shell unfolds it into high-energy photons at a rate the lattice caps — the bathtub's drain. Only those photons enter the core, which can hold a great many. The rotating Shell's magnetic field sets up the conditions for vortices to open at the poles, and some of the photons escape through them in asymmetric polar jets; how is not yet known. Nothing comes back from the Shell's face, and the cap on unfolding keeps a core from feeding and growing. RESULT 388.1 — WHAT ARRIVES AND WHAT THE DRAIN UNFOLDS. With the EHT's adopted 4.14e6 solar masses, the Shell sits at 1.07692 times the horizon radius, 1.3170e10 m (T298; T300's floor X = 14; T311). The EHT's best-bet models take in (5.2–9.5)e-9 solar masses a year (Faraday rotation: 2e-9 to 2e-7; Marrone et al. 2007): 2.9455e31 to 5.3812e31 W at the Shell. T330's surface rate over the Shell unfolds 6.9751e18 W of it into high-energy photons, from 1.296e-13 to 2.368e-13 of it; they enter the core but for a share born in the tear zone's outer reaches that escapes (T287's escape cone: at least 11.781 per cent). If a body's heat is only that escaping share, the drain could be up to 8.4882 times faster, still about 1e-12 of the intake. RESULT 388.2 — WHAT WAITS, AND WHY THE CORE DOES NOT FEED. The rest waits at the Shell as matter (T210, T243): 72 to 131 solar masses over 13.8 billion years at today's rate (28 to 2,760 over the Faraday range), at most 3.2e-5 of Sgr A*'s mass (6.7e-4 at the highest Faraday intake), which the drain would take 5.8e22 to 1.1e23 years to unfold (2.2e22 to 2.2e24 over the Faraday range). It gravitates but is not part of the core. Only light the drain makes enters the core: even if every photon stayed, Sgr A* would gain 4.1e-18 of its mass in 13.8 billion years. The core does not feed; its size changes only by amalgamation (T387). T330's finding that infall outpaces folding extends to Sgr A* by twelve to fourteen orders. RESULT 388.3 — NOTHING COMES BACK FROM THE SHELL'S FACE. T177 made the Shell a perfect emitter on two grounds, Kirchhoff's law and full mode activation. Kirchhoff's equality binds a surface whose absorption can run backward; the Shell's cannot: 'the forward Snap DESCENDS the energy landscape (dissipative, lawful); the reverse would ASCEND it across an infinite barrier (forbidden)' (T288). T306, on T172's theorem: 'Merging is absorption; splitting is emission. The theorem therefore forbids emission and PERMITS absorption.' Full mode activation is occupancy (T355, Result 355.4), and 'A surface mode cannot leave' (Result 355.2). T177's perfect absorber STANDS; its perfect emitter is NARROWED to nothing outward, with T204's Shell emission row, T214's outward half, T206's boundary radiation and T197's Shell thermal output. This covers what the Shell has taken in and unfolded; that the matter waiting to be unfolded gives nothing back either is the author's premise. RESULT 388.4 — SGR A*'S DIMNESS FITS A HOLDING SHELL. At the Shell the clock rate is V = X^-1/2 = 0.26726 (T299), so the infall releases 0.73274 of its rest energy: 2.1583e31 to 3.9430e31 W. A Shell that gave it back would be 250 times the limit and 2,158 to 3,943 times Sgr A*'s quiet output of about 1e28 W (EHT; the best-bet models' own (6.8–9.2)e35 erg/s lowers every such ratio by 6.8 to 9.2, and none changes direction). The holding Shell emits nothing from its face. A core never releases its own content (T206, Theorem 3), so averaged over its life its poles release no more than its Shell unfolds: 1.769e-13 to 3.232e-13 of that energy. That bounds an average, not a burst: the light let in over 13.8 billion years, at most 3.0e36 J, is about ten years of Sgr A*'s quiet output. The share escaping the tear zone is at most 7.0e-10 of it. The measurement fits PUH, provided the Shell gives back no more than 0.4 per cent of the energy its infall releases. RESULT 388.5 — THE DRAIN RUNS FAR BELOW ITS CEILING. At T368's ceiling, c times the Shell area at up to 9 E_P per Planck volume (T210), at most 2.7247e144 W, the Shell would unfold all of Sgr A*'s intake: the share escaping its tear zone alone would be 347 to 634 times what Sgr A* is seen to emit, and the whole, released as it came, 2,945 to 5,381 times, if that output were seen. The author's premise, unfolding capped far below the intake, puts the drain far below the ceiling, and T330's rate agrees. HOW THE POLES RELEASE LIGHT (OPEN). The author's picture — the rotating Shell's field (the Shell-Dynamo Theorem, B = (2m*/q*)ω) sets up the conditions for vortices to open at the poles, and some photons escape in asymmetric jets, as at the rebound (T242) — is stated, not derived. T359 classes the core as a bubble, not a vortex, so the openings would be at the Shell's poles. They would have to supply the momentum a trapped mode lacks (T355) and let light cross the Shell outward, which T308 forbids to Hamiltonian radiation. T370's field-driven release at the fastest spin it allows would let out, with proton carriers, at most 2.9e-3 of what Sgr A*'s Shell unfolds; the core would keep the rest. NOT CLAIMED: the drain's true rate; how much a Shell absorbs; that what waits gives nothing back, which is the author's premise; where and in what form the matter waits, its entropy, or any temperature; how much more than 11.781 per cent of the unfolded light escapes the tear zone; how the poles release light, how much, or when; that the polar output would be seen; anything about Sgr A*'s observed light, which comes from gas on its way in. KILL-CONDITIONS: emission shown to come from the face of a core's Shell; the Snap shown to run backward; matter shown to pile up above the Shell of a core with no star around it with a glowing face of its own; matter shown to enter a core as matter, or a core shown to release its own content; a drain shown to keep pace with Sgr A*'s intake. OPEN: the drain's true rate, and whether a body's heat flux measures it (T360; T197, T287); how much a Shell absorbs (T307, T387); where and in what form the matter waits (T288, T355; T210, T243); how a Shell carries a much larger queue (T386); how the rotating Shell's field sets up the conditions for vortices to open at the poles, and how much light leaves (Shell-Dynamo Theorem; T370; T387); how a core meets a wave slower than its Shell (T387, Result 387.3).