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The Mathematical Model of SpaceTime
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4-dimensional abstract patches abstract surface affine connection affine structure anthropic principle arrow Astronomy and Astrophysics Astrophysics Series asymmetry axioms called Cambridge University Press causal boundary clock closed timelike curves concept construction coordinate system cosmic cosmological model curve g defined definition differential Einstein empirical Euclidean space evolution existence field equations Friedman equation fundamental future G. F. R. Ellis galaxies geodesic geometry global gravitational field inextendible initial singularity isotropic J. L. Synge Lecture light cone Lorentz manifold Lorentz metric Lorentz structure Mach's Principle macroscopic mathematical model measurements metric structure Minkowski model of space-time Nature non-compact Pachart Foundation Pachart Publishing House particle horizon past light cone Penrose philosophical possible present problem properties quantum questions radiation relativistic cosmology reprinted by permission retrodiction S. W. Hawking smooth manifold so-called space-time manifold Structure of Space-Time tangent space theoretical theory of relativity topological vector velocity Volume world models