Comment on “Einstein–Cartan fermion condensates trapped in double walls induce axial torsion coupling bounds [Eur. Phys. J. C (2026) 86: 785]”
- 1Universidade Federal do Maranhão
Abstract
We point out several algebraic and dimensional inconsistencies in the derivation of the teleparallel double-wall dynamics and of the axial torsion coupling bound published in this Journal [Eur. Phys. J. C (2026) 86: 785]. Recomputing the torsion two-forms from the tetrads with vanishing spin connection, we obtain expressions that differ from those used in the paper. Consequently, the equations for the wall separation function do not lead to the reported solution, and the approximation h2≪ z2 h 2 ≪ z 2 does not restore the polynomial form adopted there. We also show that the proposed wave equation for the wall separation and the corresponding gravitational-wave interpretation require rederivation. In the fermionic sector, the zero-mode solutions and the scalar Dirac bilinear must be distinguished from the positive density varPsi † varPsi Ψ † Ψ . With the corrected solutions, the effective coefficient A=eB+gT S A = e B + g T S determines a localization length ℓ loc∼ |A|−1/2 ℓ loc ∼ | A | - 1 / 2 , so that estimating gT g T requires specifying an additional physical scale rather than imposing A=0 A = 0 . Hence the claimed constant condensate and the bound gT∼ 10−4 g T ∼ 10 - 4 are not established by the calculations presented.
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BibTeX
@article{castro2026comment,
title = {{Comment on “Einstein–Cartan fermion condensates trapped in double walls induce axial torsion coupling bounds [Eur. Phys. J. C (2026) 86: 785]”}},
author = {Luis B. Castro},
journal = {The European Physical Journal C},
year = {2026},
month = oct,
doi = {10.1140/epjc/s10052-026-16388-3},
url = {https://link.springer.com/10.1140/epjc/s10052-026-16388-3},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Comment on “Einstein–Cartan fermion condensates trapped in double walls induce axial torsion coupling bounds [Eur. Phys. J. C (2026) 86: 785]”
AU - Luis B. Castro
PY - 2026
DA - 2026/10/07
JO - The European Physical Journal C
DO - 10.1140/epjc/s10052-026-16388-3
UR - https://link.springer.com/10.1140/epjc/s10052-026-16388-3
AB - We point out several algebraic and dimensional inconsistencies in the derivation of the teleparallel double-wall dynamics and of the axial torsion coupling bound published in this Journal [Eur. Phys. J. C (2026) 86: 785]. Recomputing the torsion two-forms from the tetrads with vanishing spin connection, we obtain expressions that differ from those used in the paper. Consequently, the equations for the wall separation function do not lead to the reported solution, and the approximation h^2≪ z^2 h 2 ≪ z 2 does not restore the polynomial form adopted there. We also show that the proposed wave equation for the wall separation and the corresponding gravitational-wave interpretation require rederivation. In the fermionic sector, the zero-mode solutions and the scalar Dirac bilinear must be distinguished from the positive density varPsi ^† varPsi Ψ † Ψ . With the corrected solutions, the effective coefficient A=eB+g_T S A = e B + g T S determines a localization length ℓ _loc∼ |A|^−1/2 ℓ loc ∼ | A | - 1 / 2 , so that estimating g_T g T requires specifying an additional physical scale rather than imposing A=0 A = 0 . Hence the claimed constant condensate and the bound g_T∼ 10^−4 g T ∼ 10 - 4 are not established by the calculations presented.
SN - 1434-6044
SN - 1434-6052
ER -