Summary
There are three acknowledged properties of time—one-dimensionality, arrow and flow. This paper explains the last two properties in terms of complex 3-tori, their Riemann surfaces and the concept of deformation. In particular, the flow of time, which is currently regarded as a purely subjective phenomenon, is shown to be a part of the objective physical world.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. W. Hawking:A Brief History of Time: from the Big Bang to Black Holes (Bantam Books, New York, N.Y., 1988).
A. J. Legget:The «Arrow of Time» and Quantum Mechanics inThe Encyclopaedia of Ignorance, edited byR. Duncan andM. Weston-Smith (Wallaby, New York, N.Y., 1978).
I. Prigogine:From Being to Becoming: Time and Complexity in the Physical Sciences (W. H. Freeman and Company, San Francisco, Cal., 1980).
M. Namba:Geometry of Projective Algebraic Curves (Marcel Dekker, New York, N.Y., 1984).
J. Morrow andK. Kodaira:Complex Manifolds (Holt, Rinehart and Winston, New York, N. Y., 1971).
A. O. Barut:Dynamical Groups and Generalized Symmetries in Quantum Theory (Univ. of Canterbury, Christchurch, 1972).
R. Gilmore:Lie Groups, Lie Algebras, and Some of their Applications (Wiley-Interscience, New York, N. Y., 1974).
W. M. Boothby:An Introduction to Differentiable Manifolds and Riemannian Geometry (Academic Press, London, 1975).
Author information
Authors and Affiliations
Additional information
The author of this paper has agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Bin, K. A topological explanation for three properties of time. Nuov Cim B 107, 65–70 (1992). https://doi.org/10.1007/BF02726885
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02726885