The Flare-Out Condition at a Wormhole Throat Tested Against a Maximum Shear Rate

A traversable throat must flare outward, and flaring is a statement about how the geometry shears as one moves away from the throat. For the shape function b of r equals r nought squared over r, whose slope at the throat is minus one, the orthonormal shear scale at the throat is about 3.00e+08 per second for a one-metre throat, a ratio of 7.43e-17 to the maximum shear rate of 4.04e+24 per second set by spin-torsion physics. The shear would reach the ceiling only at a throat radius of 7.43e-17 metres. The verdict is that flare-out and the shear ceiling are compatible across the entire classical range: the ceiling excludes no throat that flare-out permits, and reports of a conflict between geometric traversability conditions and torsion bounds are not supported by the numbers. Computed, not measured.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-12
DOI
https://doi.org/10.5281/zenodo.24147896
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

The Flare-Out Condition at a Wormhole Throat Tested Against a Maximum Shear Rate

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

The Flare-Out Condition at a Wormhole Throat Tested Against a Maximum Shear Rate

William Alexander Aldred
article en

Abstract

A traversable throat must flare outward, and flaring is a statement about how the geometry shears as one moves away from the throat. For the shape function b of r equals r nought squared over r, whose slope at the throat is minus one, the orthonormal shear scale at the throat is about 3.00e+08 per second for a one-metre throat, a ratio of 7.43e-17 to the maximum shear rate of 4.04e+24 per second set by spin-torsion physics. The shear would reach the ceiling only at a throat radius of 7.43e-17 metres. The verdict is that flare-out and the shear ceiling are compatible across the entire classical range: the ceiling excludes no throat that flare-out permits, and reports of a conflict between geometric traversability conditions and torsion bounds are not supported by the numbers. Computed, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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