Hyperbolic Electromagnetism and Metrological Closure of Vacuum Impedance with Links to Topological Response in Metals and Alloys

Car, Tihomir (2026) Hyperbolic Electromagnetism and Metrological Closure of Vacuum Impedance with Links to Topological Response in Metals and Alloys. Symmetry, 18 (2). ISSN 2073-8994

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Abstract

We develop a symmetry-based reconstruction of the vacuum impedance and the fine-structure constant. Hyperbolic geometry and discrete sectorization of the electromagnetic field plane are the only input assumptions. The construction identifies a unique integer-square hyperbolic selector that fixes the electric–magnetic partition without adjustable parameters. This yields the geometric part of the vacuum impedance when combined with the quantum scale h/e2. The same discrete structure provides a normalization for the fine-structure constant through a universal sector angle π/24. We discuss how discrete rotational and modular symmetries, commonly realized in crystalline metals and layered heterostructures, provide experimentally accessible settings to probe the proposed geometric structure through electromagnetic and transport measurements.

Item Type:	Article
Uncontrolled Keywords:	hyperbolic geometry; electromagnetic duality; topological quantization; modular structure; functional materials
Subjects:	NATURAL SCIENCES
Divisions:	Division of Materials Physics
Depositing User:	Ana Zečević
Date Deposited:	20 May 2026 11:57
URI:	https://fulir.irb.hr:/id/eprint/11988
DOI:	10.3390/sym18020277

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