The Half Power That Cancels Itself: I Priced the Fixed n = 1/2 in the k-Essence Wormhole Sources, and It Is the One Power Where the Kinetic Term Drops Out

Prices Queue-2 item Q2-03, arXiv:2512.11018 (Silva et al., matter sources for wormholes in k-essence theory), on its verified abstract and full-text Sec. II. The load-bearing step is the fixed power n = 1/2 in F(X) = F0 X^n - 2V(phi), adopted in all three models: from the paper's own eqs. (15) and (18), -F/2 + X F_X = F0 X^n (n - 1/2) + V, so at n = 1/2 and only there the kinetic term cancels out of that combination exactly, and the same power is the unique one at which phi' is linear in Sigma''/Sigma. What the fix buys is the paper's analytic programme; its cost is scope -- every constructed source is an n = 1/2 source, selected by no premise in the text. INCREMENTAL. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23937723
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

The Half Power That Cancels Itself: I Priced the Fixed n = 1/2 in the k-Essence Wormhole Sources, and It Is the One Power Where the Kinetic Term Drops Out

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Half Power That Cancels Itself: I Priced the Fixed n = 1/2 in the k-Essence Wormhole Sources, and It Is the One Power Where the Kinetic Term Drops Out

William Alexander Aldred
preprint en

Abstract

Prices Queue-2 item Q2-03, arXiv:2512.11018 (Silva et al., matter sources for wormholes in k-essence theory), on its verified abstract and full-text Sec. II. The load-bearing step is the fixed power n = 1/2 in F(X) = F0 X^n - 2V(phi), adopted in all three models: from the paper's own eqs. (15) and (18), -F/2 + X F_X = F0 X^n (n - 1/2) + V, so at n = 1/2 and only there the kinetic term cancels out of that combination exactly, and the same power is the unique one at which phi' is linear in Sigma''/Sigma. What the fix buys is the paper's analytic programme; its cost is scope -- every constructed source is an n = 1/2 source, selected by no premise in the text. INCREMENTAL. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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