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The key ingredient for lattice regularized quantum gravity is diffeomorphism symmetry. We formulate a lattice functional integral for quantum gravity in terms of fermions. This allows for a diffeomorphism invariant functional measure and…

广义相对论与量子宇宙学 · 物理学 2015-06-03 C. Wetterich

We explore the new physics phenomena of gravidynamics governed by the inhomogeneous spin gauge symmetry based on the gravitational quantum field theory. Such a gravidynamics enables us to derive the generalized Einstein equation and an…

广义相对论与量子宇宙学 · 物理学 2024-03-27 Yuan-Kun Gao , Da Huang , Yong-Liang Ma , Yong Tang , Yue-Liang Wu , Yu-Feng Zhou

In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a…

综合物理 · 物理学 2018-05-01 R. S. Vieira , H. B. Brentan

The confrontation between Einstein's gravitation theory and experimental results, notably binary pulsar data, is summarized and its significance discussed. Experiment and theory agree at the 10^{-3} level or better. All the basic structures…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Thibault Damour

We put forward the idea that in addition to diffeomorphism invariance of general relativity (GR) the gravitational interaction is invariant under arbitrary scale-deformations of the metric field. In addition, we assume that the scaling…

广义相对论与量子宇宙学 · 物理学 2022-05-19 Meir Shimon

The proposal of this work is to provide an answer to the following question: is it possible to treat the metric of space-time - that in General Relativity (GR) describes the gravitational interaction - as an effective geometry? In other…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Novello

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

高能物理 - 理论 · 物理学 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

We propose a regularized lattice model for quantum gravity purely formulated in terms of fermions. The lattice action exhibits local Lorentz symmetry, and the continuum limit is invariant under general coordinate transformations. The metric…

高能物理 - 理论 · 物理学 2015-05-30 C. Wetterich

Each approach to the quantum-gravity problem originates from expertise in one or another area of theoretical physics. The particle-physics perspective encourages one to attempt to reproduce in quantum gravity as much as possible of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Giovanni Amelino-Camelia

We work out the most general theory for the interaction of spacetime geometry and matter fields -- commonly referred to as geometrodynamics -- for spin-$0$ and spin-$1$ particles. The minimum set of postulates to be introduced is that (i)…

广义相对论与量子宇宙学 · 物理学 2022-10-06 Jürgen Struckmeier , David Vasak , Johannes Kirsch

This thesis studies modified theories of gravity from a geometric viewpoint. We review the motivations for considering alternatives to General Relativity and cover the mathematical foundations of gravitational theories in Riemannian and…

广义相对论与量子宇宙学 · 物理学 2024-01-24 Erik Jensko

Diffeomorphisms and an internal symmetry (e.g., local Lorentz invariance) are typically regarded as the symmetries of any geometrical gravity theory, including general relativity. In the first-order formalism, diffeomorphisms can be thought…

广义相对论与量子宇宙学 · 物理学 2019-01-29 Cristóbal Corral , Yuri Bonder

Many effective field theories describing gravity cannot arise from an underlying theory based on Riemann geometry or its extensions to include torsion and nonmetricity but may instead emerge from another geometry or may have a nongeometric…

广义相对论与量子宇宙学 · 物理学 2021-08-25 Alan Kostelecky , Zonghao Li

According to general relativity, the interaction of a matter field with gravitation requires the simultaneous introduction of a tetrad field, which is a field related to translations, and a spin connection, which is a field assuming values…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Calcada , J. G. Pereira

Gravity can be regarded as a consequence of local Lorentz (LL) symmetry, which is essential in defining a spinor field in curved spacetime. The gravitational action may admit a zero-field limit of the metric and vierbein at a certain…

高能物理 - 理论 · 物理学 2020-12-23 Shinya Matsuzaki , Shota Miyawaki , Kin-ya Oda , Masatoshi Yamada

A gauge theory of the Lorentz group, based on the different behavior of spinors and vectors under local transformations, is formulated in a flat space-time and the role of the torsion field within the generalization to curved space-time is…

高能物理 - 理论 · 物理学 2009-03-24 Nakia Carlevaro , Orchidea Maria Lecian , Giovanni Montani

Starting with Newton's law of universal gravitation, we generalize it step-by-step to obtain Einstein's geometric theory of gravity. Newton's gravitational potential satisfies the Poisson equation. We relate the potential to a component of…

广义相对论与量子宇宙学 · 物理学 2013-09-20 Donald H. Kobe , Ankit Srivastava

Lorentz invariance is one of the fundamental principles of physics, and, as such, it must be experimentally tested. The purpose of this work is to obtain, within the Standard-Model Extension, the dynamics of a Lorentz-violating spinor in a…

高能物理 - 唯象学 · 物理学 2013-11-12 Yuri Bonder

We propose a new theory of gravitation on noncommutative space-time which is invariant under the general coordinate transformations, while the local Lorentz invariance is realized as twisted gauge symmetry. Our theory is remarkably simpler…

高能物理 - 理论 · 物理学 2010-09-29 Archil Kobakhidze

We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by examining two different classes of interacting theories of massless spin 2 particles -- gravitons. One…

高能物理 - 理论 · 物理学 2020-12-24 Mark P. Hertzberg