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The Remnant-Floor Window: What Existing Surveys Constrain at the Aldred Frame's Evaporation Floor of 8.66e13 g

Year: 2026
Type: preprint
Abstract: In the Aldred frame (Einstein-Cartan spin-torsion gravity, limiting density rho_A = 9.72e54 g/cm^3), Hawking evaporation halts at a floor mass M_rem = 8.66e13 g = 4.35e-20 solar masses, leaving a stable, non-radiating remnant. Taking that floor as a given input (Aldred 2026, DOI 10.5281/zenodo.24102542), this paper prices every published observational channel used to constrain compact-object dark matter at the single mass M_rem: microlensing (Subaru/HSC Andromeda, OGLE, EROS), femtolensing of gamma-ray bursts, evaporation-based limits, and capture/dynamical channels. Microlensing gives no constraint below 1e-11 solar masses (the floor is 8.36 dex below that edge; computed Einstein radius 1.24 km toward Andromeda, wave-optics parameter 2.6e-9). Femtolensing nominally covers 5e17-1e20 g (3.76 dex above the floor) and its bound was withdrawn for realistic source sizes (Katz et al. 2018); at the floor the fringe spacing is 2.32 GeV. Evaporation-based limits (Voyager 1, INTEGRAL, the extragalactic gamma-ray background, down to f ~ 1e-10 near 1e14 g for evaporating holes) do not apply to a floor remnant at all, because they bound a present-day flux proportional to |dM/dt| and for the remnant dM/dt = 0 exactly. Capture and dynamical channels have their nearest edges 2.06 to 5.06 dex above the floor. The largest dark-matter fraction allowed by all channels jointly is therefore f_max = 1: no published limit closes the window at the floor mass, and stable floor remnants could constitute the whole of the dark matter. The single most promising channel for closing the window is femtolensing extended to the GeV fringe spacing the floor mass predicts, restricted to small-source fast-variability bursts. All numbers are produced by the deposited compute.py; published survey reaches enter it as labelled literature inputs. AI-use disclosure: this paper was prepared with the assistance of Dave, an AI system built by Aldred Industries; all computations were performed and checked by script, and the author of record reviewed the results.
DOI: 10.5281/zenodo.24111391
Language: English
Open Access status: green
OpenAlex ID: W7225748202
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