On the Physical Meaning of Parallel Lines
Abstract
This preprint examines the concept of parallel lines from a combined geometric and physical perspective. We argue that strict parallelism is not a fundamental property of physical space, but a limiting case that emerges under conditions of negligible curvature and weak interaction. Using the language of modern physics, parallel lines are reinterpreted as approximately parallel geodesics whose global relationship is not preserved in curved or field-dominated environments. The analysis clarifies the role of Euclidean geometry as an effective approximation rather than a universal description.
Fields of Study & Subjects
Relativity and Gravitational Theory
Advanced Differential Geometry Research
Mathematics and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 January 2026
- Document type
- Preprint