Geometry and Physics Today
Abstract
"Geometry," in the sense of the classical differential geometry of smooth manifolds (CDG), is put under scrutiny from the point of view of Abstract Differential Geometry (ADG). We explore potential physical implications of viewing things under the light of ADG, especially matters concerning the "gauge theories" of modern physics, when the latter are viewed (as they are actually regarded currently) as "physical theories of a geometrical character." Thence, "physical geometry," in connection with physical laws and the associated with them, within the background spacetime manifoldless context of ADG, "differential" equations, are also being discussed.
- Publication:
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International Journal of Theoretical Physics
- Pub Date:
- August 2006
- DOI:
- Bibcode:
- 2006IJTP...45.1552M
- Keywords:
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- general relativity;
- quantum field theory;
- singularities;
- gauge theories;
- abstract differential geometry (ADG)