International Journal of Theoretical Physics

, Volume 45, Issue 8, pp 1552–1588

Geometry and Physics Today


DOI: 10.1007/s10773-006-9130-3

Cite this article as:
Mallios, A. Int J Theor Phys (2006) 45: 1552. doi:10.1007/s10773-006-9130-3


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, “differentialequations, are also being discussed.


general relativityquantum field theorysingularitiesgauge theoriesabstract differential geometry (ADG)

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Algebra and Geometry Section, Department of MathematicsUniversity of AthensAthensGreece