Zobrazeno 1 - 10
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pro vyhledávání: '"Lake, Matthew J."'
Autor:
Lake, Matthew J.
We show that the $(1+3)$-dimensional `superboost' operators, proposed in Dragan and Ekert's most recent work on superluminal reference frames \cite{Dragan:2022txt}, are simply the canonical Lorentz boosts, expressed in nonstandard notation. Their $(1
Externí odkaz:
http://arxiv.org/abs/2410.07017
Autor:
Lake, Matthew J.
Canonical subluminal Lorentz boosts have a clear geometric interpretation. They can be neatly expressed as hyperbolic rotations, that leave both the family of $2$-sheet hyperboloids within the light cone, and the family $1$-sheet hyperboloids exterio
Externí odkaz:
http://arxiv.org/abs/2409.01773
Autor:
Lake, Matthew J., Miller, Marek
The topic of quantum reference frames (QRFs) has attracted a great deal of attention in the recent literature. Potentially, the correct description of such frames is important for both the technological applications of quantum mechanics and for its f
Externí odkaz:
http://arxiv.org/abs/2312.03811
Autor:
Liang, Shi-Dong, Lake, Matthew J.
Publikováno v:
Physics 2023, 5, 436-460
In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras. In this review, we introduce the basic concepts and techniques of noncommutative physics in a range
Externí odkaz:
http://arxiv.org/abs/2305.03671
Publikováno v:
Front. Astron. Space Sci., 10, 1155667 (2023)
We present a simple gedanken experiment in which a compact object traverses a spacetime with three macroscopic spatial dimensions and $n$ compact dimensions. The compactification radius is allowed to vary, as a function of the object's position in th
Externí odkaz:
http://arxiv.org/abs/2303.16620
Publikováno v:
Symmetry 2023, 15(3), 707 (2023)
Foreward to the Bolyai-Gauss-Lobachevsky 2022 special issue, published in ${\it Symmetry}$, in lieu of the 12${}^{\rm th}$ International Conference on Non-Euclidean Geometry, ``BGL-2022''.
Comment: 8 pages, 3 figures. Matches version published i
Comment: 8 pages, 3 figures. Matches version published i
Externí odkaz:
http://arxiv.org/abs/2303.17011
Autor:
Lake, Matthew J., Watcharapasorn, A.
Publikováno v:
Front. Astron. Space Sci., 10, 1118647 (2023)
The purpose of this paper is to challenge the existing paradigm on which contemporary models of generalised uncertainty relations (GURs) are based, that is, the assumption of modified commutation relations. We review an array of theoretical problems
Externí odkaz:
http://arxiv.org/abs/2302.08122
Publikováno v:
Front. Astron. Space Sci., 10, 1087724 (2023)
In this short note we show how the Generalised Uncertainty Principle (GUP) and the Extended Uncertainty Principle (EUP), two of the most common generalised uncertainty relations proposed in the quantum gravity literature, can be derived within the co
Externí odkaz:
http://arxiv.org/abs/2302.08120
Autor:
Lake, Matthew J.
Publikováno v:
Symmetry 2022, 14(10), 2166
We show that the equations of motion governing the dynamics of strings in a compact internal space can be written as dispersion relations, with a local speed that depends on the velocity and curvature of the string in the large dimensions. From a $(3
Externí odkaz:
http://arxiv.org/abs/2210.12416
Autor:
Lake, Matthew J.
Publikováno v:
Eur. Phys. J. C 82, 928 (2022)
We determine the Hausdorff dimension of a particle path, $D_{\rm H}$, in the recently proposed `smeared space' model of quantum geometry. The model introduces additional degrees of freedom to describe the quantum state of the background and gives ris
Externí odkaz:
http://arxiv.org/abs/2206.00609