Structural approximation and a Minkowski space-time lattice with Lorentzian invariance

We introduce a framework of structural approximation to represent Lorentz-invariant Minkowski space-time as the limit of finite cyclic lattices, each equipped with the action of a finite quasi-Lorentz group. This construction provides a discrete model preserving Lorentz symmetry and offers new insights into the algebraic and geometric structure of space-time.

Publication Details

Journal
ArXiv.org
Published
2025-08-04
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
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article

Structural approximation and a Minkowski space-time lattice with Lorentzian invariance

ArXiv.org
Noncommutative and Quantum Gravity Theories
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Structural approximation and a Minkowski space-time lattice with Lorentzian invariance

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Abstract

We introduce a framework of structural approximation to represent Lorentz-invariant Minkowski space-time as the limit of finite cyclic lattices, each equipped with the action of a finite quasi-Lorentz group. This construction provides a discrete model preserving Lorentz symmetry and offers new insights into the algebraic and geometric structure of space-time.

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Noncommutative and Quantum Gravity Theories
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Structural approximation and a Minkowski space-time lattice with Lorentzian invariance · ArXiv.org (2025) | TGRS Research Map | TGRS