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Time crystals are unexpected states of matter that spontaneously break time translation symmetry either in a discrete or continuous manner. However, spatially-mesoscale space-time crystals that break both the space and time symmetries have…

Soft Condensed Matter · Physics 2025-07-24 Hanqing Zhao , Ivan I. Smalyukh

GR and other theories have been obtained from 3-space rather than spacetime principles. I explore consequences of this as regards the Problem of Time.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward Anderson

The nature of time in quantum mechanics is closely related to the use of a complex, rather than say real, Hilbert space. This becomes particularly clear when considering quantum field theory in time dependent backgrounds, such as in…

General Relativity and Quantum Cosmology · Physics 2011-11-03 G. W. Gibbons

In the causal set approach, spacetime is a continuous approximation of a faithful embedded causal set. But the faithful embedded causal set describes the empty spacetime and cannot describe matter. Only faithful embedding of coarse grained…

General Physics · Physics 2010-06-14 Alexey L. Krugly

In quantum mechanics time usually appears as classical parameter which means that it is treated as being essentially different from spatial coordinates that are represented by operators. On the other hand, relativity theory demands to treat…

Quantum Physics · Physics 2021-06-30 Slobodan Prvanović , Dušan Arsenović

Within a Liouville approach to non-critical string theory, we argue for a non-trivial commutation relation between space and time observables, leading to a non-zero space-time uncertainty relation $\delta x \delta t > 0$, which vanishes in…

High Energy Physics - Theory · Physics 2016-09-06 G. Amelino-Camelia , J. Ellis , N. E. Mavromatos , D. V. Nanopoulos

Several physical concepts, including the concept of time, are clarified herein by taking into account existing experimental data. In addition, the missing links among these physical concepts are established. This allows us to take another…

General Physics · Physics 2022-10-04 Robert Sadykov

We will prove that, in general, a system formed by several particles moving along relativistic trajectories can not be described by a mechanical system. The contradiction that leads to the previous assertion is due to the fact that a…

Mathematical Physics · Physics 2019-07-12 Jesús Muñoz-Díaz , Ricardo J. Alonso-Blanco

The hilbert-space structure of quantum mechanics is related to the causal structure of space-time. The usual measurement hypotheses apparently preclude nonlinear or stochastic quantum evolution. By admitting a difference in the calculus of…

Quantum Physics · Physics 2007-05-23 George Svetlichny

The epitome of acausal or anti-chronological behaviour would be to see a clock running backwards in time. In this essay we point out that this is indeed possible, but there is no problem with causality. What you see isn't what is really…

General Relativity and Quantum Cosmology · Physics 2021-02-03 M. B. Paranjape

Quantized space described by time reversal invariant and rotationally invariant noncommutative algebra of canonical type is studied. A particle in uniform field is considered. We find exactly the energy of a particle in uniform field in the…

High Energy Physics - Theory · Physics 2021-02-22 Kh. P. Gnatenko , Kh. I. Stakhur , A. V. Kryzhova

We argue that, in order to obtain decoherence of spacetime, we should consider quantum conformal metric fluctuations of spacetime. This could be the required environment in the problem of selfmeasurement of spacetime in quantum gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose-Luis Rosales , Jose-Luis Sanchez-Gomez

I argue that there are no physical singularities in space-time. Singular space-time models do not belong to the ontology of the world, because of a simple reason: they are concepts, defective solutions of Einstein's field equations. I…

General Physics · Physics 2012-10-10 Gustavo E. Romero

The concept of an objective spatial direction in special relativity is investigated and theories assuming light-speed isotropy while accepting the existence of a privileged spatial direction are classified. A natural generalization of the…

General Relativity and Quantum Cosmology · Physics 2011-06-30 Marco Mamone-Capria

We have performed an experimental test under the conditions of which quantum mechanics predicts a spatially-discontinuous single-particle transport. The transport is beyond the relativistic paradigm of movement in Cartesian space and…

General Physics · Physics 2013-06-14 S. A. Emelyanov

Some ideas aimed to understand that time is one-dimensional are briefly reviewed. Some attempts to construct theories in varieties with more spatial and temporal components are presented. It is discussed, from the epistemological point of…

History and Philosophy of Physics · Physics 2021-10-19 Francisco Caruso

The dimensional structure of space-time is investigated according to physical and mathematical methods. We show that ther are various empirical and theoretical restrictions on the number of independent dimensions of space-time, consequently…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Ghaboussi

In quantum mechanics, time is introduced as a non-measurable quantity, as there is no possibility to build a hermitian operator canonically conjugated to the Hamiltonian. We cannot have, therefore, the time operator, which means that the…

Quantum Physics · Physics 2020-03-27 Andrzej Góźdź , Marek Góźdź

I argue that nonlocal decision of the outcomes at detection excludes any alternative theory to quantum mechanics: Not all that matters for the results of physical experiments is content in space-time, but all that is in space-time is…

Quantum Physics · Physics 2013-04-16 Antoine Suarez

I show that, by the same criteria that led to Galilean and Special Relativity and gauge symmetries, there is no way to identify a unique set of observables that give the structure of space or spacetime. In some sense, space is lost in the…

Quantum Physics · Physics 2024-07-25 Ovidiu Cristinel Stoica
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