The Börekci Solar Antimatter Collector v6: A Liouville-Limited, Plasma-Magnet-Free Architecture that Closes on Demonstrated Trap Technology

Abstract

Version 6 of the Börekci Solar Antimatter Collector is an audit-and-rebuild of version 5. Three physics errors in v5 are identified and repaired. (i) The collection area was taken as the area of a circle whose radius is the magnetic deflection radius. This violates Liouville's theorem: a static magnetic field does no work and cannot compress phase space. The correct bound is A_eff = A_absorber / θ_beam², so the collection area is set by the absorber, not by the magnet. (ii) With no re-acceleration the cooling process is not ionization cooling, and the MICE analogy does not hold; the correct mechanism is scatter-trapping followed by bounce cooling in a magnetic bottle. (iii) A plasma magnetosphere cannot guide MeV positrons — their gyroradii are comparable to the bubble — while imposing about 120 N of drag, so the plasma magnet is removed from the collection chain. The resulting architecture is a 150 m, 300 kA-turn high-temperature superconducting hoop (m = 2.1×1010 A m², magnetospheric radius 1.6 km) with a 56 m, 15.7 g m−2 recirculating degrader membrane at z = 218 m, which both opens the loss cone and provides scatter-trapping (2.16° per pass, 2.98 keV energy loss per pass, ≈335 passes, only 5 % annihilation-in-flight loss). Storage closes on demonstrated Penning–Malmberg cells (256 × 4×109 = 1.0×1012), with v5's four-order technology leap retained only as an upgrade path. The honest yield ledger is 3.1×1011–1.8×1012 positrons per well-connected X-class flare and 2.9×1011–1.8×1014 over twelve active years: attogram-to-femtogram class, roughly an order of magnitude below v5's claim, but derived rather than asserted. The geomagnetically trapped antiproton belt — the only measured antimatter reservoir — is retained as the natural target of any supply-oriented phase. Falsifiability is vested in a ≈30 kg positron spectrometer at 0.2–0.3 AU. Five original figures, five tables and a dedicated supporting-literature section are included; 30 references. Files: English version (PDF and DOCX) and Turkish version (PDF and DOCX).