Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Matthew J. Lake"'
Autor:
Shi-Dong Liang, Matthew J. Lake
Publikováno v:
Physics, Vol 5, Iss 2, Pp 436-460 (2023)
Noncommutativity in physics has a long history, tracing back to classical mechanics. In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras. In this review,
Externí odkaz:
https://doaj.org/article/fe34a4792bea4383bbf07439d5c8e87d
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 10 (2023)
Externí odkaz:
https://doaj.org/article/2a58523e0eb2483c8307c9b0981c1911
Autor:
Matthew J. Lake
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 82, Iss 10, Pp 1-19 (2022)
Abstract We determine the Hausdorff dimension of a particle path, $$D_\textrm{H}$$ D 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 b
Externí odkaz:
https://doaj.org/article/90b9f661b9b441bd9c25560789083b6b
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 10 (2023)
Externí odkaz:
https://doaj.org/article/5d806fb1f58d485087bf4c662ada9661
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 10 (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:
https://doaj.org/article/ba653782a67246f88a8c2c8a809bfb5f
Autor:
Matthew J. Lake, Anucha Watcharapasorn
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 10 (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:
https://doaj.org/article/cfccabb9ae92473b8886bf06aff7fa2d
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 10 (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:
https://doaj.org/article/9eabaaae73bb4c048799e8e1ec9aa72e
Publikováno v:
Physics, Vol 5, Iss 3, Pp 688-689 (2023)
Presently, we are in a period of rapid and intensive changes in our understanding of the gravitational interaction, triggered by the important observational findings of the late 1990s [...]
Externí odkaz:
https://doaj.org/article/b01365e4b98a44a4a7d72f0b3eaecb95
Autor:
Matthew J. Lake
Publikováno v:
Quantum Reports, Vol 3, Iss 1, Pp 196-227 (2021)
Gedanken experiments in quantum gravity motivate generalised uncertainty relations (GURs) implying deviations from the standard quantum statistics close to the Planck scale. These deviations have been extensively investigated for the non-spin part of
Externí odkaz:
https://doaj.org/article/31d0ab544a32476c938cf4a72007d36f
Publikováno v:
Symmetry, Vol 15, Iss 3, p 707 (2023)
Nearly 2300 years ago, the Greek mathematician Euclid of Alexandria laid down the basis of the geometry now known from the textbooks and used in everyday life [...]
Externí odkaz:
https://doaj.org/article/d313d273c80c40588917cec6eb48bab3