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We point out that spacetime singularities play a useful role in gravitational theories by eliminating unphysical solutions. In particular, we argue that any modification of general relativity which is completely nonsingular cannot have a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gary T. Horowitz , Robert Myers

There is a serious disconnect between quantum theory and gravity. It occurs at the level of the very foundations of quantum theory, and is far deeper than just the matter of trying to quantize a non-linear theory. We shall examine some of…

Quantum Physics · Physics 2010-11-17 Daniel M. Greenberger

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…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Matthew J. Lake , Marek Miller

A definition is proposed to give precise meaning to the counterfactual statements that often appear in discussions of the implications of quantum mechanics. Of particular interest are counterfactual statements which involve events occurring…

Quantum Physics · Physics 2007-05-23 J. Finkelstein

We consider Hilbert's problem of the axioms of Physics at a qualitative or conceptual level. This issue is more pressing than ever as we seek to understand how both General Relativity and quantum theory could emerge from some deeper theory…

Mathematical Physics · Physics 2018-05-09 Shahn Majid

Different aspects of relativity, mainly in a canonical formulation, relevant for the question "Is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a…

General Relativity and Quantum Cosmology · Physics 2008-07-31 Martin Bojowald

We consider the manner in which the spacetime manifold emerges from a quantum substratum through the transactional process, in which spacetime events and their connections are established. In this account, there is no background spacetime…

General Relativity and Quantum Cosmology · Physics 2021-03-23 R. E. Kastner

This article gives an elementary account of the recently proposed theory of spontaneous quantum gravity. It is argued that a viable quantum theory of gravity should be falsifiable, and hence it should dynamically explain the observed…

Popular Physics · Physics 2021-06-29 Tejinder P. Singh

Time-symmetric interpretations of quantum theory are often presented as featuring "retrocausal" effects in addition to the usual forward notion of causation. This paper examines the ontological implications of certain timesymmetric…

Quantum Physics · Physics 2017-06-07 R. E. Kastner

We critically examine proposals for the so-called warp-drive spacetimes and classify these models based on their various restrictions within the framework of General Relativity. We then provide a summary of general formalism for each class,…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Hamed Barzegar , Thomas Buchert , Quentin Vigneron

The "problem of time" in canonical quantum gravity refers to the difficulties involved in defining a Hilbert space structure on states -- and local observables on this Hilbert space -- for a theory in which the spacetime metric is treated…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Robert M. Wald

General relativity treats spacetime as dynamical and exhibits its breakdown at singularities. This failure is interpreted as evidence that quantum gravity is not a theory formulated within spacetime; instead, it must explain the very…

General Relativity and Quantum Cosmology · Physics 2025-08-01 Mir Faizal , Lawrence M. Krauss , Arshid Shabir , Francesco Marino

When modelling spacetime and classical physical fields, one typically assumes smoothness (infinite differentiability). But this assumption and its philosophical implications have not been sufficiently scrutinized. For example, we can appeal…

History and Philosophy of Physics · Physics 2026-02-20 Lu Chen , Tobias Fritz

The problem of time in quantum gravity occurs because `time' is taken to have a different meaning in each of general relativity and ordinary quantum theory. This incompatibility creates serious problems with trying to replace these two…

General Relativity and Quantum Cosmology · Physics 2012-07-23 Edward Anderson

Paralleling the formal derivation of general relativity as a flat spacetime theory, we introduce in addition a preferred temporal foliation. The physical interpretation of the formalism is considered in the context of 5-dimensional…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Brian Pitts , W. C. Schieve

Starting from the revelation of the nature of inertial forces, this article discusses the subdivision of the basic physical concept of space-time and raises questions about the metric of standard cosmology. A new form of particle dynamics…

High Energy Physics - Theory · Physics 2024-06-25 ChiYi Chen

One of the most important problems in Physics is how to reconcile Quantum Mechanics with General Relativity. Some authors have suggested that this may be realized at the expense of having to drop the quantum formalism in favor of a more…

Quantum Physics · Physics 2010-02-17 Miguel Navascues , Harald Wunderlich

I argue that our judgements regarding the locally causal models which are compatible with a given quantum no-go theorem implicitly depend, in part, on the context of inquiry. It follows from this that certain no-go theorems, which are…

Quantum Physics · Physics 2018-11-20 Michael E. Cuffaro

If the systems of quantum theory are thought of as elementary information carriers in the first place, rather than elementary constituents of matter, and their connections are logical connections within a given algorithm, rather than…

Quantum Physics · Physics 2020-11-20 P. Perinotti

We briefly review ideas about ``noncommutativity of space-time'' and approaches toward a corresponding theory of gravity.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Folkert Muller-Hoissen
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