PUH Theorem 375 — Seeds Cannot Plough: A Moving Core Gathers No Star, the Rebound Leaves It No Speed, and at Rest It Is Only a Passenger; Putting a Core in Every Star Is Now Open

Photonic Universe Hypothesis (PUH) — Rework and closure note. THE CLAIM REWORKED. The Runaway Stars Lead Note (May 2026) proposed that primordial Planck cores, moving at about 100 km/s from the Rebound's momentum sorting (T196), plough through molecular clouds, gather gas envelopes by Bondi–Hoyle accretion, and appear as young runaway stars with bow shocks. It wrote the accretion formula down but never evaluated it. T291 later cut the seed core to 1.6 × 10²⁷ kg and asked for the 100 km/s scale to be re-derived with the redshift history. T375 evaluates everything with standard physics (Bondi–Hoyle accretion, Chandrasekhar dynamical friction, Liouville capture as used by Capela, Pshirkov and Tinyakov) and the archive's own numbers. RESULT 375.1 — PLOUGHING GATHERS NO STAR. Crossing a whole molecular cloud, the seed collects 1.1 × 10¹³, 1.7 × 10¹⁴, 2.1 × 10¹⁶ and 2.8 × 10¹⁹ kg at 200, 100, 30 and 5 km/s; even the Lead Note's 10³⁰ kg core collects only 6.7 × 10¹⁹ kg at 100 km/s. Gathering one solar mass in one crossing takes a core of 216 M☉ at 5 km/s, 7,776 M☉ at 30 km/s and 86,402 M☉ at 100 km/s. The core's gravity reaches 21,400 km (0.089 AU for 10³⁰ kg) at 100 km/s, against bow shocks that stand off at up to about a parsec. RESULT 375.2 — NO CLOUD CAN STOP A CORE. Dynamical friction removes 1.1 × 10⁻¹² of the seed's speed per cloud crossing at 100 km/s, and about 10⁻⁴ even at 1 km/s. RESULT 375.3 — THE REBOUND LEAVES NO SPEED. Peculiar momentum redshifts as 1/a (T291); since the Rebound the universe has grown about 3.4 × 10³¹-fold, so any launch speed up to light speed is now below about 10⁻²³ m/s. The 100 km/s scale has no primordial source; a core's speed today is the speed of its fall into the Galaxy. RESULT 375.4 — AT REST, A SEED IS A PASSENGER. In quiet dense gas the seed grows as dm/dt = km² (T347's form), running away in 54, 5.4, 0.54 and 0.054 Myr at 10⁴–10⁷ molecules per cm³ — while the gas collapses on its own in 0.34, 0.11, 0.034 and 0.011 Myr, 5 to 160 times sooner. The gas gathers itself; the star's mass is set by the gas, not the core. A caught seed sinks to the star's centre within days. This explains T346's distribution and removes the link by which T196 and T291 turn equal cores into equal stars. RESULT 375.5 — CAPTURE IS THE BOTTLENECK. For every new star to bind one seed, seeds would have to sit at rest in the dense cores at 1.8 times the density of all local matter; seeds moving with the clouds at 1 km/s would need 220 times, disk-like seeds 10⁶–10⁷ times, halo-like seeds 2.3 × 10⁹ times. The premise that every star is built around a primordial seed core (T243, T140) has no delivery route in the archive; four routes are named for testing: seeds inside the gas before it cooled; recycling of cores freed by stellar deaths (the author's suggestion — possible but rare; Type Ia supernovae would be PUH's source of naked cores); a coupling stronger than gravity; or most stars carry no seed. RESULT 375.6 — THE SIX TESTS RE-EXAMINED. None singles out a PUH seed: walkaways are the expected majority by the Lead Note's own source (Renzo et al. 2019: 10% of massive stars walkaways, 0.5% runaways); the seed's heat is 0.23 W against a young star's 3.8 × 10²⁶ W (T330 scaled by area); and a bow shock needs the push of 7.0 × 10²⁹ W of light, 3 × 10³⁰ times the seed's whole Shell output (the Bow-Front Lattice-Tear route, at T330's calibration). SCOPE: the closure is for star-scale cores. Objects of hundreds to tens of thousands of solar masses and more do gather gas by ploughing, so the supermassive application to RBH-1 lies outside it. WHAT CHANGES: Runaway Stars Lead Note CLOSED at star scale; T291 open item ANSWERED and 'the core is the seed that gathers it' CORRECTED; T196 twin link — NO MECHANISM; T346 EXPLAINED; T243/T140 seeding premise — DELIVERY OPEN; Bow-Front Lattice-Tear paper CONSTRAINED; GW Bow Wave / JWST Observation Notes — gas-ploughing half CLOSED at star scale. KILL-CONDITIONS: a core–gas coupling far stronger than gravity; peculiar momentum not redshifting in PUH (against T291); seed masses of hundreds of solar masses or more. NOT CLAIMED: that stars carry no cores; a re-derivation of the standard runaway mechanisms; a value for the lattice-tear power; anything about supermassive objects; that any particular star holds a recycled core. OPEN: how, if at all, a primordial seed gets into each star; whether the first gas clouds bound seeds; the tear power of a moving core (I1).