Dimensional Constraint and the Limits of Representation
Abstract
Geometric representations are essential tools in physics, yet they are frequently misinterpreted as literal embodiments of structure rather than as projections chosen for tractability. This short paper clarifies a common source of conceptual error: the collapse of high-dimensional constraint into low-dimensional intuition. We argue that physical structure is governed by dimensional constraint richer than what can be directly experienced or represented at any given moment. Time acts as a restricting dimension, limiting participation to a subset of admissible degrees of freedom in each present frame, while the remaining structure remains inaccessible yet fully constraining. Low-dimensional diagrams and models should therefore be understood as interfaces, not as complete descriptions of geometry. This interpretive clarification preserves coherence in geometry-first frameworks without introducing new mechanisms, parameters, or assumptions.
Fields of Study & Subjects
Relativity and Gravitational Theory
Philosophy and History of Science
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 January 2026
- Document type
- Preprint