Results 81 to 90 of about 13,985 (193)
Unitarity in the presence of closed timelike curves [PDF]
Physical Review D, 2006 We conjecture that, in certain cases, quantum dynamics is consistent in the presence of closed timelike curves. We consider time dependent orbifolds of three dimensional Minkowski space describing, in the limit of large AdS radius, BTZ black holes inside the horizon.
Cornalba, Lorenzo, Costa, Miguel S.
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Geometric Characterizations of Canal Surfaces in Minkowski 3-Space
Mathematics, 2019 Canal surfaces are defined and divided into nine types in Minkowski 3-space E 1 3 , which are obtained as the envelope of a family of pseudospheres S 1 2 , pseudohyperbolic spheres H 0 2 , or lightlike cones Q 2 , whose ...
Jinhua Qian +3 more
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Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The aim of this paper is to investigate properties of non‐Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular
Xinyu Yao, Haiming Liu, Shikha Binwal
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Raychaudhuri equation and singularity theorems in Finsler spacetimes
, 2015 The Raychaudhuri equation and its consequences for chronality are studied in the context of Finsler spacetimes. It is proved that the notable singularity theorems of Lorentzian geometry extend to the Finslerian domain.
Minguzzi, E.
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A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space 𝕃∗3
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13875-13888, December 2024.This study focuses on redesigned the Lorentz–Minkowski space, great importance in both physics and geometry, by employing multiplicative metric concepts (angle, norm, distance etc.). The impact of multiplicative arguments on the Lorentz‐Minkowski space has been elucidated, showcasing how multiplicative vectors, subspaces, and planes exhibit ...
Aykut Has +2 more
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Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
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The Timelike Tube Theorem in Curved Spacetime
Communications in Mathematical PhysicsThe timelike tube theorem asserts that in quantum field theory without gravity, the algebra of observables in an open set U is the same as the corresponding algebra of observables in its ``timelike envelope'' E(U), which is an open set that is in general larger. The theorem was originally proved in the 1960's by Borchers and Araki for quantum fields in
Alexander Strohmaier, Edward Witten
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String-supported wormhole spacetimes containing closed timelike curves [PDF]
Physical Review D, 1996 We construct a static axisymmetric wormhole from the gravitational field of two Schwarzschild particles which are kept in equilibrium by strings (ropes) extending to infinity. The wormhole is obtained by matching two three-dimensional timelike surfaces surrounding each of the particles, and thus spacetime becomes non-simply connected.
, Schein, , Aichelburg, , Israel
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The inverse kinematics of rolling contact of timelike curves lying on timelike surfaces
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: Rolling contact between two surfaces plays an important role in robotics and engineering such as spherical robots, single wheel robots, and multi-fingered robotic hands to drive a moving surface on a fixed surface. The rolling contact pairs have one, two, or three degrees of freedom (DOFs) consisting of angular velocity components.
Aydınalp, Mehmet +2 more
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On curvature bounds in Lorentzian length spaces
Journal of the London Mathematical Society, Volume 110, Issue 2, August 2024.Abstract We introduce several new notions of (sectional) curvature bounds for Lorentzian pre‐length spaces: On the one hand, we provide convexity/concavity conditions for the (modified) time separation function, and, on the other hand, we study four‐point conditions, which are suitable also for the non‐intrinsic setting. Via these concepts, we are able
Tobias Beran +2 more
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