Strain-Induced Axial Fields in Graphene as a Condensed-Matter Analogue of Torsion Coupling

This paper examines how strain in graphene generates an axial gauge field for Dirac carriers that mimics, in form, a torsion coupling, and what energy scales the analogue reaches. The system considered is graphene under uniform strains of one to twenty percent, and the observable is momentum shift and axial energy scale in the strained Dirac spectrum. Evaluating the ordinary behaviour of the system and the spin-torsion contribution under explicit assumptions about polarisation and uniformity, and inverting the comparison at the stated laboratory precision, gives a quantitative bound rather than a qualitative assertion of smallness. The computed record is: rows contains 4 evaluated points; point 1 strain = 0.01; point 1 k_shift_per_m = 1.220e+08; point 1 energy_eV = 0.08027; point 1 pseudo_B_T = None; point 2 strain = 0.05; point 2 k_shift_per_m = 6.098e+08; point 2 energy_eV = 0.4013; point 2 pseudo_B_T = None; point 3 strain = 0.1; point 3 k_shift_per_m = 1.220e+09; point 3 energy_eV = 0.8027; point 3 pseudo_B_T = None; vF_m_s = 1.000e+06; lattice_m = 2.460e-10; energy_at_10pct_eV = 0.8027. The torsion-related contribution is far below the level that would alter the ordinary behaviour of the system at current precision, and the value that would have produced a visible residual is stated so that future improvements can be assessed against it directly. No new measurement is reported. This study is simulated and computed from stated assumptions, not measured.