Abstract
The purpose of the present article, following “Mach’s principle” (the main elements of which have contributed to the foundations of general relativity) is to propose a new (non-local) interpretation of the inertial interaction. We then suggest that the inertial interaction can be correctly described by the topological field theory proposed by Witten in 1988. In such a context, the instantaneous propagation and the infinite range of the inertial interaction might be explained in terms of the topological amplitude connected with the singular zero size gravitational instanton corresponding to the Initial Singularity of space-time.
Similar content being viewed by others
References
E. Mach:La Mécanique, Ed. Gabay, Paris, 1989.
J.P. Vigier: Found. Phys.25 (1995) 1461.
E. Witten: Commun. Math. Phys.117 (1988) 353.
E. Witten: hep-th /9511030 (1995).
G. Bogdanov: Ph.D. thesis, Bourgogne University, 1999.
M. Shifman:Instantons in Gauge Theories, World Scientific Publishing, Singapore, 1994.
S.K. Donaldson and P.B. Kronheimer:The Geometry of Four Manifolds, Oxford Univ. Press, 1990.
C. Brans and R.H. Dicke: Phys. Rev.124 (1961) 925.
H. Bondi and J. Samuel: gr-qc 9607009 (1996).
D.R. Brill: gr-qc 9402002 (1994).
S. Weinberg: Phys. Rev. D9 (1974) 3367.
R. Haag, N. Hugenholz, and M. Winnink: Commun. Math. Phys.5 (1967) 215.
J.J. Atick and E. Witten: Nucl. Phys. B310 (1988) 291.
I. Antoniadis, J. P. Deredinger, and C. Kounnas: hep-th 9908137 (1999).
M. Takesaki: Lecture Notes in Maths, Vol. 128, Springer, New York-Heidelberg-Berlin, 1979.
A. Connes:Non-Commutative Geometry, Academic Press, London, 1994.
H. Araki and E.J. Woods: Publ. Res. Inst. Math. Sci. A4 (1968) 51.
A. Connes and M. Takesaki: Tohoku Math. J.29 (1977) 473.
S.K. Donaldson: Topology29 (1990) 257.
E. Witten: Nucl. Phys. B202 (1982) 253.
P. Fre and P. Soriani:The N=2 Wonderland. From Calabi-Yau Manifolds to Topological Field Theory, World Scientific Publishing, Singapore, 1995.
C.P. Bacchas, P. Bain, and M.B. Green: hep-th 9903210 (1999).
A. Floer: Commun. Math. Phys.118 (1995) 215.
E. Witten: Phys. Let. B206 (1988) 601.
M. Berger:Geometrie, Nathan, Paris, 1990.
F. Roddier:Distributions et Transformation de Fourier, Ediscience, Paris, 1993.
P. Sezgin and E. van Nieuwenhuizen: Phys. Rev. D22 (1980) 301.
L.P. Kadanoff: inPhase Transition and Critical Phenomena, Vol. 6, (Eds. Harcourt and Cie), Academic Press, New York, 1976.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bogdanov, I. Topological origin of inertia. Czech J Phys 51, 1153–1176 (2001). https://doi.org/10.1023/A:1012814728188
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1023/A:1012814728188