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We examine the time evolution of the five-dimensional Einstein field equations subjected to a flat, anisotropic Robertson-Walker metric, where the 3D and higher-dimensional scale factors are allowed to dynamically evolve at different rates.…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Chad A. Middleton , Ethan Stanley

The phenomenon of local dynamical inhomogeneity of time is predicted, which implies that the course of time along the trajectory of motion of a particle in the inertial reference frames moving relative to each other depends on the state of…

Quantum Physics · Physics 2007-05-23 V. P. Oleinik , Yu. C. Borimsky , Yu. D. Arepjev

This paper explores visual motion-based invariants, resulting in a new instantaneous domain where: a) the stationary environment is perceived as unchanged, even as the 2D images undergo continuous changes due to camera motion, b) obstacles…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Juan D. Yepes , Daniel Raviv

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

It is shown by very simple arguments that the observed 3+1 dimensionality of spacetime may be understood on the basis of four fundamental principles of physics namely, Causality, General Covariance, Gauge Invariance and Renormalizability.…

General Physics · Physics 2013-03-25 Rajat K. Pradhan

Recently formulated model of highly-anisotropic and strongly dissipative hydrodynamics is used in 3+1 dimensions to study behavior of matter produced in ultra-relativistic heavy-ion collisions. We search for possible effects of the initial…

Nuclear Theory · Physics 2012-06-22 Radoslaw Ryblewski , Wojciech Florkowski

After a brief digression on the current landscape of theoretical physics and on some open questions pertaining to coherence with experimental results, still to be settled, it is shown that the properties of the Deformed Minkowski space lead…

General Physics · Physics 2023-08-15 Stefano Bellucci , Fabio Cardone , Fabio Pistella

A non-geometrical (but with curved space) theory of gravitation characterized by a vector field representing gravitational matter and a metric tensor presenting space is presented. It is derived from a more general theory of matter and…

General Relativity and Quantum Cosmology · Physics 2008-03-13 Boris Hikin

It has been speculated that gravity could be an emergent phenomenon, with classical general relativity as an effective, macroscopic theory, valid only for classical systems at large temporal and spatial scales. As in classical continuum…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Huan Yang , Larry R. Price , Nicolas D. Smith , Rana X Adhikari , Haixing Miao , Yanbei Chen

A set of diverse but mutually consistent results obtained in different settings has spawned a new view of loop quantum gravity and its physical implications, based on the interplay of operator calculations and effective theory: Quantum…

General Relativity and Quantum Cosmology · Physics 2012-12-27 Martin Bojowald

We analyse a stationary, cylindrically symmetric spacetime endowed with an intrinsic helical twist, $ds^{2} = -dt^{2} + dr^{2} + r^{2} d\phi^{2} + (dz + \omega\, r\,d\phi)^{2}$. Solving the Einstein equations exactly yields an anisotropic…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Edilberto O. Silva , Frankbelson dos S. Azevedo , Faizuddin Ahmed

In the late 1990s, observations of type Ia supernovae led to the astounding discovery that the universe is expanding at an accelerating rate. The explanation of this anomalous acceleration has been one of the great problems in physics since…

General Physics · Physics 2015-11-09 Wun-Yi Shu

Theorists are often told to express things in the "observational plane". One can do this for space-time geometry, considering "visual" observations of matter in our universe by a single observer over time, with no assumptions about…

General Relativity and Quantum Cosmology · Physics 2012-11-20 Albert Stebbins

Anisotropy of a space naturally leads to direction dependent electromagnetic tensors and electromagnetic potentials. Starting from this idea and using variational approaches and exterior derivative formalism, we extend some of the classical…

Mathematical Physics · Physics 2009-11-11 Nicoleta Voicu-Brinzei , Sergey Siparov

We develop a monadic framework formalising an operational notion of dynamics, seen as the setting and evolution of initial value problems, in general physical theories. We identify in the Eilenberg-Moore category the natural environment for…

History and Philosophy of Physics · Physics 2015-01-26 Stefano Gogioso

The determination of a dynamic law of cut is complex and often very difficult to develop. Several formulations were developed, in very complex ways being given that 3 AD crosses from there, the number of variables is much higher than out of…

Classical Physics · Physics 2009-09-29 Constantin Ispas , Claudiu-Florinel Bisu , Alain Gérard , Doru Bardac

The conventional spacetime formulation of general relativity may be recast as a dynamics of spatial 3-geometries (geometrodynamics). Furthermore, geometrodynamics can be derived from first principles. I investigate two distinct sets of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Anderson

A reanalisis of the effect of a moving frame of reference is done, showing that the null result of the Michelson-Morley's experimente of 1887 on the possibility of detecting the variation of the velocity of light with respect to a moving…

General Physics · Physics 2013-09-11 Daniel Lima Nascimento

A dynamical analysis of an effective homogeneous and irrotational Weyssenhoff fluid in general relativity is performed using the 1+3 covariant approach that enables the dynamics of the fluid to be determined without assuming any particular…

General Relativity and Quantum Cosmology · Physics 2009-11-13 S. D. Brechet , M. P. Hobson , A. N. Lasenby

There is sufficient amount of internal evidence in the nature of gravitational theories to indicate that gravity is an emergent phenomenon like, e.g, elasticity. Such an emergent nature is most apparent in the structure of gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 T. Padmanabhan