Optical Axiomatization of Minkowski Space-Time Geometry
Bibliographic Data
| ID | 10705299 |
|---|---|
| Authors | Brent Mundy (University of Oklahoma, corresponding author) |
| Year | 1986 |
| Volume | 53 |
| Issue | 1 |
| Pages | 1-30 |
| Publication date | 1986-03-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0031-8248 • E-ISSN: 1539-767X |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.1086/289289 |
| OpenAlex | W2003552731 |
| Language | EN |
| Citations received | 9 |
| References cited | 8 |
Minkowski geometry is axiomatized in terms of the asymmetric binary relation of optical connectibility, using ten first-order axioms and the second-order continuity axiom. An axiom system in terms of the symmetric binary optical connection relation is also presented. The present development is much simpler than the corresponding work of Robb, upon which it is modeled
Algebra over a field · Arithmetic · Axiom · Binary number · Binary relation · Connection (principal bundle) · Differential geometry · Discrete mathematics · Foundations of geometry · Geometry · Minkowski space · Pure mathematics · Relation (database) · Computer Science · Mathematics · Relativity and Gravitational Theory
Embedding and uniqueness in relational theories of space
On the general theory of meaningful representation
A star in the Minkowskian sky
An axiomatic foundation of relativistic spacetime
Newtonian determinism to branching space-times indeterminism in two moves
On the axiomatizability of some first-order spatio-temporal theories
Branching space-time
Galileo's Ship and Spacetime Symmetry
Through the convex Looking Glass
| Unique citing works | 9 |
|---|---|
| Citations per year | 0,23 |
| Citation span | 1986 - 2025 (40) |
| Citation velocity | recent |
| Highly cited | No |
| Citation types | Neutral: 9 |