Forces Are Not Invariants
Abstract
This paper examines the assumption that fundamental forces correspond to invariant features of physical reality and argues that this assumption cannot be sustained. Treating forces as invariants leads to a structural dilemma: either forces redundantly restate constraints already imposed by locality, or their invariance requires hidden global dependence incompatible with locality. In neither case can forces coherently function as representation-independent constraints on physical possibilities. The argument is eliminative and structural rather than empirical or dynamical. No alternative ontology of forces is proposed, nor is a new physical framework introduced. Instead, the analysis shows that forces arise as representational artifacts within particular local descriptions, tracking constraint relations rather than constituting invariant structures of the world. The conclusion does not rely on specific models, equations of motion, or experimental results. It follows solely from the joint requirements of invariance and locality and applies across formalisms, including field-theoretic reformulations. Recasting forces in terms of invariant fields does not avoid the problem, as the same structural contradictions reappear. Under minimal and widely accepted constraints, force realism is therefore shown to be incoherent. Forces organize descriptions; they are not invariant features of reality.
Fields of Study & Subjects
Philosophy and History of Science
Relativity and Gravitational Theory
Philosophy
Science
and History
Publication details
- Journal / source
- PhilPapers (PhilPapers Foundation)
- Publication date
- 4 February 2026
- Language
- EN