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Suppose the usual description of spacetime as a 4-dimensional manifold with a Lorentzian metric breaks down at Planck energies. Can we still construct sensible theoretical models of the universe? Are they testable? Do they lead to a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Fotini Markopoulou

It is argued that the `problem of time' in quantum gravity necessitates a refinement of the local inertial structure of the world, demanding a replacement of the usual Minkowski line element by a 4+2n dimensional pseudo-Euclidean line…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Joy Christian

When gravity is quantum, the point structure of space-time should be replaced by a non-commutative geometry. This is true even for quantum gravity in the infrared. Using the octonions as space-time coordinates, we construct a pre-spacetime,…

综合物理 · 物理学 2022-09-08 Tejinder P. Singh

This is a nontechnical introduction to recent work on quantum gravity using ideas from higher-dimensional algebra. We argue that reconciling general relativity with the Standard Model requires a `background-free quantum theory with local…

广义相对论与量子宇宙学 · 物理学 2015-02-13 John C. Baez

We present a simple algebraic argument for the conclusion that the low energy limit of a quantum theory of gravity must be a theory invariant, not under the Poincare group, but under a deformation of it parameterized by a dimensional…

高能物理 - 理论 · 物理学 2009-11-10 Giovanni Amelino-Camelia , Lee Smolin , Artem Starodubtsev

Standard approaches to quantum gravity start with a pre-spacetime structure and attempt, in accordance with Bohr's correspondence principle, to recover the pseudo-Riemannian manifold in the low energy limit. These approaches assume there is…

广义相对论与量子宇宙学 · 物理学 2011-04-26 Kaća Bradonjić

A satisfactory theory of quantum gravity will very likely require modification of our classical perception of space-time, perhaps by giving it a 'foamy' structure at scales of order the Planck length. This is expected to modify the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Subir Sarkar

I provide a conceptually-focused presentation of `low-energy quantum gravity' (LEQG), the effective quantum field theory obtained from general relativity and which provides a well-defined theory of quantum gravity at energies well below the…

广义相对论与量子宇宙学 · 物理学 2021-12-24 David Wallace

This research aims to consider a new principle of symmetry in the space-time by means of the elimination of the classical idea of rest including a universal minimum limit of speed in the subatomic world. Such a limit, unattainable by the…

广义相对论与量子宇宙学 · 物理学 2012-11-28 Cláudio Nassif

A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and…

量子物理 · 物理学 2021-06-02 Bao D. Tran , Zdzislaw E. Musielak

Phenomenological approaches to quantum gravity try to infer model-independent laws by analyzing thought experiments and combining both quantum, relativistic, and gravitational ingredients. We first review these ingredients -three basic…

广义相对论与量子宇宙学 · 物理学 2013-08-21 Jean-Philippe Bruneton

There must exist a reformulation of quantum field theory which does not refer to classical time. We propose a pre-quantum, pre-spacetime theory, which is a matrix-valued Lagrangian dynamics for gravity, Yang-Mills fields, and fermions. The…

综合物理 · 物理学 2022-02-16 Tejinder P. Singh

The ordinary quantum theory points out that general relativity is negligible for spatial distances up to the Planck scale. Consistency in the foundations of the quantum theory requires a``soft'' spacetime structure of the general relativity…

广义相对论与量子宇宙学 · 物理学 2012-09-13 Peter Leifer

Canonical quantum gravity provides insights into the quantum dynamics as well as quantum geometry of space-time by its implications for constraints. Loop quantum gravity in particular requires specific corrections due to its quantization…

广义相对论与量子宇宙学 · 物理学 2015-05-14 Martin Bojowald

A satisfactory theory of quantum gravity may necessitate a drastic modification of our perception of space-time, by giving it a foamy structure at distances comparable to the Planck length. It is argued in this essay that the experimental…

广义相对论与量子宇宙学 · 物理学 2009-09-11 John. Ellis , N. E. Mavromatos , D. V. Nanopoulos

Although the standard viewpoint in theoretical physics is that the unification of quantum theory and general relativity requires the quantization of gravity and spacetime, there is not consensus about whether spacetime must fundamentally…

量子物理 · 物理学 2022-05-23 Damián Pitalúa-García

We highlight the fact that the lack of scale invariance in the gravitational field equations of General Relativity results from the underlying assumption that the appropriate scale for the gravitational force should be linked to the atomic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Robin Booth

In this paper we introduce a modified covariant quantum algebra based in the so-called Quesne-Tkachuk algebra. By means of a deformation procedure we arrive at a class of higher derivative models of gravity. The study of the particle…

高能物理 - 理论 · 物理学 2017-10-06 G. P. de Brito , P. I. C. Caneda , Y. M. P. Gomes , J. T. Guaitolini Junior , V. Nikoofard

In this talk, I present a theory of quantum gravity beyond Einstein. The theory is established based on spinnic and scaling gauge symmetries by treating the gravitational force on the same footing as the electroweak and strong forces. A…

高能物理 - 理论 · 物理学 2015-11-04 Yue-Liang Wu

In this paper, we study implications of the geometrical nature of space- time for some of the basic tenets of quantum mechanics. That is, we study two different implications of the principle of general covariance; first we quantize a…

广义相对论与量子宇宙学 · 物理学 2013-05-16 Johan Noldus
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