Dimensional Constraint and the Limits of Representation

Read full text
Authors: Lisa Doumbouya
Cited by: 0

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