Optics in spiral dislocation spacetime: Torsion as a geometric waveguide and frequency-filtering mechanism
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915737303515136 |
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| author | Dogan, Semra Gurtas Mustafa, Omar Guvendi, Abdullah Hassanabadi, Hassan |
| author_facet | Dogan, Semra Gurtas Mustafa, Omar Guvendi, Abdullah Hassanabadi, Hassan |
| contents | We present an exact analytical investigation of null trajectories and scalar wave propagation in a $(2+1)$-dimensional spacetime containing a spiral dislocation-a topological defect characterized by torsion in the absence of curvature. For null rays, the torsion parameter $β$ modifies the affine structure, enforcing a finite turning radius $r_{\min} = \sqrt{b^2 - β^2}$ and inducing a torsion-mediated angular deflection that decreases monotonically with increasing $β$. The photon trajectory deviates from the curvature-induced lensing paradigm, exhibiting a purely topological exclusion zone around the defect core. In the wave regime, we recast the Helmholtz equation into a Schrödinger-like form and extract a spatially and spectrally dependent refractive index $n^2(r,k)$. This index asymptotically approaches unity at large distances, but diverges strongly and negatively near the dislocation core due to torsion-induced geometric terms. The resulting refractive index profile governs the transition from propagating to evanescent wave behavior, with low-frequency modes experiencing pronounced localization and suppression. Our findings reveal that torsion alone, absent any curvature, can act as a geometric regulator of both classical and quantum propagation, inducing effective anisotropy, frequency filtering, and confinement. This framework provides a rare exact realization of light-matter interaction in a torsion-dominated background, with potential applications in analog gravity systems and photonic metamaterials engineered to replicate non-Riemannian geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14865 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optics in spiral dislocation spacetime: Torsion as a geometric waveguide and frequency-filtering mechanism Dogan, Semra Gurtas Mustafa, Omar Guvendi, Abdullah Hassanabadi, Hassan General Relativity and Quantum Cosmology High Energy Physics - Theory Optics We present an exact analytical investigation of null trajectories and scalar wave propagation in a $(2+1)$-dimensional spacetime containing a spiral dislocation-a topological defect characterized by torsion in the absence of curvature. For null rays, the torsion parameter $β$ modifies the affine structure, enforcing a finite turning radius $r_{\min} = \sqrt{b^2 - β^2}$ and inducing a torsion-mediated angular deflection that decreases monotonically with increasing $β$. The photon trajectory deviates from the curvature-induced lensing paradigm, exhibiting a purely topological exclusion zone around the defect core. In the wave regime, we recast the Helmholtz equation into a Schrödinger-like form and extract a spatially and spectrally dependent refractive index $n^2(r,k)$. This index asymptotically approaches unity at large distances, but diverges strongly and negatively near the dislocation core due to torsion-induced geometric terms. The resulting refractive index profile governs the transition from propagating to evanescent wave behavior, with low-frequency modes experiencing pronounced localization and suppression. Our findings reveal that torsion alone, absent any curvature, can act as a geometric regulator of both classical and quantum propagation, inducing effective anisotropy, frequency filtering, and confinement. This framework provides a rare exact realization of light-matter interaction in a torsion-dominated background, with potential applications in analog gravity systems and photonic metamaterials engineered to replicate non-Riemannian geometries. |
| title | Optics in spiral dislocation spacetime: Torsion as a geometric waveguide and frequency-filtering mechanism |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Optics |
| url | https://arxiv.org/abs/2507.14865 |