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The definability of objective becoming in Minkowski spacetime

SynthÈse, 1995
In his recent article ‘On Relativity Theory and Openness of the Future’ (1991), Howard Stein proves not only that one can define an objective becoming relation in Minkowski spacetime, but that there is only one possible definition available if one accepts certain natural assumptions about what it is for becoming to occur and for it to be objective ...
Rob Clifton, Mark Hogarth
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Localizability in κ-Minkowski spacetime

International Journal of Geometric Methods in Modern Physics, 2020
Using the methods of ordinary quantum mechanics, we study [Formula: see text]-Minkowski space as a quantum space described by noncommuting self-adjoint operators, following and enlarging T. Poulain and J.-C. Wallet, “[Formula: see text]-Poincaré invariant orientable field theories with at 1-loop: Scale-invariant couplings, preprint (2018), arXiv:1808 ...
Lizzi F., Manfredonia M., Mercati F.
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A Brunn-Minkowski Type Theorem on the Minkowski Spacetime

Canadian Journal of Mathematics, 1999
AbstractIn this article, we derive a Brunn-Minkowski type theorem for sets bearing some relation to the causal structure on the Minkowski spacetime. We also present an isoperimetric inequality in the Minkowski spacetimeas a consequence of this Brunn-Minkowski type theorem.
Bahn, Hyoungsick, Ehrlich, Paul
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Modal Logics of Regions and Minkowski Spacetime

Journal of Logic and Computation, 2005
The logic of space represents a current branch of research in modal logic. In this paper, the authors first report the known results for modal logics where the accessibility relations are induced by the Minkowski metrics in \(\mathbb{R}^n\), \(n\geq 2\) (chronological and causal accessibility). The arising systems then are identified as logics of balls
Ilya Shapirovsky, Valentin B. Shehtman
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Minkowski spacetime

2018
Abstract This chapter presents the main features of the Minkowski spacetime, which is the geometrical framework in which the laws of relativistic dynamics are formulated. It is a very simple mathematical extension of three-dimensional Euclidean space.
Nathalie Deruelle, Jean-Philippe Uzan
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Mach's Principle and Minkowski Spacetime

General Relativity and Gravitation, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minkowski spacetime is unstable in semiclassical gravity

Physical Review Letters, 1989
We show that in the semiclassical theory of gravity, flat spacetime with quantum fields in the Minkowski vacuum is unstable to a certain type of infinitesimal perturbation. Moreover, these perturbations evolve into a catastrophic collapse in an arbitrarily short time scale.
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Matter in Minkowski Spacetime

2013
We have studied the Lorentzian geometry of Minkowski spacetime, the arena in which things happen, and the kinematics and dynamics of massive and massless particles. It is now time to explore the laws ruling various forms of mass-energy and their physics in the 4-dimensional world. A fundamental role for any form of matter is played by its stress-energy
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Desedimentation of Minkowski Spacetime

2018
Cosgrove here applies the historical findings of the previous two chapters to the concept of Minkowski spacetime. While the Minkowski spacetime interval is often called a “generalization” of the Pythagorean Theorem, Einstein himself always more correctly referred to a formal analogy between the four-dimensional spacetime continuum and the three ...
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