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We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from…

High Energy Physics - Theory · Physics 2008-11-04 Fedele Lizzi

The equality of the inertia and the gravitational mass of a body is explained in a very general manner. We also motivate this explanation by providing analogous examples

General Physics · Physics 2010-05-18 Sanjay M Wagh

On the basis of a recent cosmological model, the puzzle of galactic rotational velocities at their edges is explained without invoking dark matter. A rationale for the existence of structures like galaxies and superclusters is also…

Astrophysics · Physics 2007-05-23 B. G. Sidharth

This paper provides a thorough introduction to the causal set hypothesis aimed at students, and other interested persons, with some knowledge of general relativity and nonrelativistic quantum mechanics. I elucidate the arguments for why the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 David D. Reid

We will highlight that despite there being various approaches to quantum gravity, there are universal approach-independent features of quantum gravity. The geometry of spacetime becomes an emergent structure, which emerges from some purely…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Mir Faizal

In this paper we perform the canonical description of the Higgs mechanism for gravity and provide the Hamiltonian definition of the massive gravities.

High Energy Physics - Theory · Physics 2011-07-22 J. Kluson

The paper presents a metaphysical characterization of spatiotemporal backgrounds from a realist perspective. The conceptual analysis is based on a heuristic sketch that encompasses the common formal traits of the major spacetime theories,…

History and Philosophy of Physics · Physics 2016-02-22 Antonio Vassallo

We review some modern theories about the structure of space and time, in particular those related to discrete space and time. Following an epistemological method we start from theories which discuss discrete space and time as a mathematical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Lorente

The spacetime structure of the spatially uniformly expanding universe is described in terms of a kind of global space and global time instead of the space and time we usually recognize. The global space at some instant is a space in which…

Astrophysics · Physics 2022-08-31 Yoshio Kubo

We discuss the formation of the first structures in gravitational N-body simulations. The role of two-body interaction is found to be a crucial element and an analogy with the dynamics of the Coulomb lattice, well-studied in solid state…

Astrophysics · Physics 2007-05-23 Francesco Sylos Labini , Thierry Baertschiger

In the past, different works based on numerical simulations have been presented to explain magnetic fields (MFs) in the large scale structure and within galaxy clusters. In this review, I will summarize the main findings obtained by…

Astrophysics · Physics 2009-11-11 Klaus Dolag

Linear superposition of gravitational fields is shown to be possible for a large class of spacetimes, in some specific coordinates. Explicit examples are presented.

General Relativity and Quantum Cosmology · Physics 2024-03-07 Enrique Álvarez , Jesús Anero

In this work we revisit the notion of the (future) causal completion of a globally hyperbolic spacetime and endow it with the structure of a Lorentzian pre-length space. We further carry out this construction for a certain class of…

General Relativity and Quantum Cosmology · Physics 2022-09-28 L. Ake Hau , Saul Burgos , Didier A. Solis

Time, space, and matter are categories of our reasoning, whose properties appear to be fundamental. However, these require a scrutiny as in the extreme regime of the primordial universe these present quantum properties. What does it mean…

History and Philosophy of Physics · Physics 2023-02-22 Francesca Vidotto

I would like to consider the Beginning of space-time in this paper. First of all, we do consideration historical thought. A lot of philosophers have considered the relation between this real phenomenal world and the basic world in which the…

History and Philosophy of Physics · Physics 2011-03-07 Tadashi Fujimoto

The notion of shape space was introduced in the second half of the 20th Century as a useful analytical tool for tackling problems related to the intrinsic spatial configuration of material systems. In recent years, the geometrical…

History and Philosophy of Physics · Physics 2025-05-15 Antonio Vassallo

The existence of a global time is often taken for granted but should instead be considered as a matter of investigation. By using the tools of global Lorentzian geometry I show that, under physically reasonable conditions, the impossibility…

General Relativity and Quantum Cosmology · Physics 2010-02-17 E. Minguzzi

All gauge theories need ``something fixed'' even as ``something changes.'' Underlying the implementation of these ideas all major physical theories make indispensable use of an elaborately designed spacetime model as the ``something…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Carl H. Brans

A physical interpretation of axioms of the differential structure of space-time is presented. Consequences of such interpretation for cosmic string's space-time with a scalar field are studied. It is shown that the assumption of smoothness…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacek Gruszczak

In this contribution, we suggest the approach that geometric concepts ought to be defined in terms of physical operations involving quantum matter. In this way it is expected that some (presumably nocive) idealizations lying deep within the…

General Relativity and Quantum Cosmology · Physics 2009-07-24 C. Chryssomalakos , H. Hernandez-Coronado , E. Okon
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