Critical filament

Ostriker line at 10 K · Bennett current · no ledger row · no promote

Date: 2026-10-08 Status: RECORD · public page /cosmology/filament-line Parent: measey.com documents/a_geom_ft_stellar_condensation_cascade_chunk1.md

At \(10\,\mathrm{K}\) and \(r_0=0.05\,\mathrm{pc}\), \(n_{\mathrm{H_2}}=2.98\times 10^{4}\,\mathrm{cm^{-3}}\). The Bennett current is \(2.70\times 10^{13}\,\mathrm{A}\) with \(B=35\,\mu\mathrm{G}\) and \(R_{pg}=1\). Fragment spacing is about four diameters. \(\tau_{\mathrm{ff}}=1.78\times 10^{5}\,\mathrm{yr}\) and \(\tau_A=1.85\times 10^{5}\,\mathrm{yr}\). The retained specific angular momentum against the Carrington equator is \(4.82\times 10^{-6}\).

\(\lambda_{\mathrm{crit}}=16.20\,M_\odot\,\mathrm{pc^{-1}}\). \(c_s=0.1866\,\mathrm{km\,s^{-1}}\). The sheet factor \(4\pi r_0=0.628\,\mathrm{pc}\). The \(10^{7}\,\mathrm{yr}\) free-fall is \(n_{\mathrm{H_2}}=9.46\,\mathrm{cm^{-3}}\).

The four-diameter fragment holds \(6.48\,M_\odot\) and circularizes at \(644\,\mathrm{AU}\). The shedding inward of that radius is unpaid. See a_geom_filament_fragment.md. Interior fusion stays held. No ledger row. No promote. The live line stays §0bn1188.