共查询到20条相似文献,搜索用时 31 毫秒
1.
Bahram Mashhoon 《General Relativity and Gravitation》1999,31(5):681-691
The inertial and gravitational properties ofintrinsic spin are discussed and some of the recent workin this area is briefly reviewed. The extension ofrelativistic wave equations to accelerated systems and gravitational fields is criticallyexamined. A nonlocal theory of accelerated observers ispresented and its predictions are compared withobservation. 相似文献
2.
The characteristics of the memory of accelerated motion in Minkowski spacetime are discussed within the framework of the nonlocal theory of accelerated observers. Two types of memory are distinguished: kinetic and dynamic. We show that only kinetic memory is acceptable, since dynamic memory leads to divergences for nonuniform accelerated motion. 相似文献
3.
B. Mashhoon 《Annalen der Physik》2011,523(3):226-234
The purpose of this paper is to explain clearly why nonlocality must be an essential part of the theory of relativity. In the standard local version of this theory, Lorentz invariance is extended to accelerated observers by assuming that they are pointwise inertial. This locality postulate is exact when dealing with phenomena involving classical point particles and rays of radiation, but breaks down for electromagnetic fields, as field properties in general cannot be measured instantaneously. The problem is corrected in nonlocal relativity by supplementing the locality postulate with a certain average over the past world line of the observer. 相似文献
4.
Dave Pandres 《General Relativity and Gravitation》2009,41(11):2501-2528
The covariance group for general relativity, the diffeomorphisms, is replaced by a group of coordinate transformations which
contains the diffeomorphisms as a proper subgroup. The larger group is defined by the assumption that all observers will agree
whether any given quantity is conserved. Alternatively, and equivalently, it is defined by the assumption that all observers
will agree that the general relativistic wave equation describes the propagation of light. Thus, the group replacement is
analogous to the replacement of the Lorentz group by the diffeomorphisms that led Einstein from special relativity to general
relativity, and is also consistent with the assumption of constant light velocity that led him to special relativity. The
enlarged covariance group leads to a non-commutative geometry based not on a manifold, but on a nonlocal space in which paths,
rather than points, are the most primitive invariant entities. This yields a theory which unifies the gravitational and electroweak
interactions. The theory contains no adjustable parameters, such as those that are chosen arbitrarily in the standard model. 相似文献
5.
Bahram Mashhoon 《Annalen der Physik》2013,525(3):235-243
Characteristics of observers in relativity theory are critically examined. For field measurements in Minkowski spacetime, the Bohr‐Rosenfeld principle implies that the connection between actual (i.e., noninertial) and inertial observers must be nonlocal. Nonlocal electrodynamics of non‐uniformly rotating observers is discussed and the consequences of this theory for the phenomenon of spin‐rotation coupling are briefly explored. 相似文献
6.
We discuss the theory and phenomenology of the interplay between the massless graviton and its massive Kaluza‐Klein modes in the Randall‐Sundrum two‐brane model. The equations of motion of the transverse traceless degrees of freedom are derived by means of a Green function approach as well as from an effective nonlocal action. The second procedure clarifies the extraction of the particle content from the nonlocal action and the issue of its diagonalization. The situation discussed is generic for the treatment of two‐brane models if the on‐brane fields are used as the dynamical degrees of freedom. The mixing of the effective graviton modes of the localized action can be interpreted as radion‐induced gravitational‐wave oscillations, a classical analogy to meson and neutrino oscillations. We show that these oscillations arising in M‐theory‐motivated braneworld setups could lead to effects detectable by gravitational‐wave interferometers. The implications of this effect for models with ultra‐light gravitons are discussed. 相似文献
7.
《Physics letters. A》2002,298(4):229-235
We consider the problem of uniqueness of the kernel in the nonlocal theory of accelerated observers. In a recent work [Ann. Phys. (Leipzig) 11 (2002) 309], we showed that the convolution kernel is ruled out as it can lead to divergences for nonuniform accelerated motion. Here we determine the general form of bounded continuous kernels and use observational data regarding spin-rotation coupling to argue that the kinetic kernel given by K(τ,τ′)=k(τ′) is the only physically acceptable solution. 相似文献
8.
B. Mashhoon 《Annalen der Physik》2009,18(9):640-648
According to the locality postulate of special relativity, the measurements of physical fields by accelerated observers at a given event in Minkowski spacetime are related to each other by the representations of the Lorentz group. Nonlocal extensions of these representations are necessary, however, once acceleration‐induced nonlocality is taken into account. The particular case of Dirac spinors is treated in detail and the corresponding nonlocal transformation group is studied. 相似文献
9.
Nonlocal electrodynamics is a formalism developed to include nonlocal effects in the measurement process in order to account for the impossibility of instantaneous measurement of physical fields. This theory modifies Maxwell's electrodynamics by eliminating the hypothesis of locality that assumes an accelerated observer simultaneously equivalent to a comoving inertial frame of reference. In this scenario, the transformation between an inertial and accelerated observer is generalized which affects the properties of physical fields. In particular, we analyze how an uniformly accelerated observer perceives a homogeneous and isotropic black body radiation. We show that all nonlocal effects are transient and most relevant in the first period of acceleration. 相似文献
10.
We investigate a possible form of Schrödinger’s equation as it appears to moving observers. It is shown that, in this framework, accelerated motion requires fictitious potentials to be added to the original equation. The gauge invariance of the formulation is established. The example of accelerated Euclidean transformations is treated explicitly, which contain Galilean transformations as special cases. The relationship between an acceleration and a gravitational field is found to be compatible with the picture of the ‘Einstein elevator’. The physical effects of an acceleration are illustrated by the problem of the uniformly-accelerated harmonic oscillator. 相似文献
11.
The gravitational field induces density gradients in gases near the critical point. These density gradients are usually evaluated with the assumption that the relationship between the local density and local chemical potential is the same as for a macroscopic system in thermodynamic equilibrium. Very close to the critical point the assumption of local equilibrium ceases to be valid. In this paper we obtain the actual density profiles including nonlocal effects. For this purpose we extend the theory of van der Waals and of Fisk and Widom for the interfacial density profile below the critical temperature to the one-phase region above the critical temperature. The nonlocal effects in the density profiles are found to be significant in temperature intervals that are accessible with currently available experimental techniques for temperature control. 相似文献
12.
M. D. Maia A. J. S. Capistrano J. S. Alcaniz Edmundo M. Monte 《General Relativity and Gravitation》2011,43(10):2685-2700
The concept of smooth deformations of Riemannian manifolds, recently evidenced by the solution of the Poincaré conjecture,
is applied to Einstein’s gravitational theory and in particular to the standard FLRW cosmology. We present a brief review
of the deformation of Riemannian geometry, showing how such deformations can be derived from the Einstein-Hilbert dynamical
principle. We show that such deformations of space-times of general relativity produce observable effects that can be measured
by four-dimensional observers. In the case of the FLRW cosmology, one such observable effect is shown to be consistent with
the accelerated expansion of the universe. 相似文献
13.
I. E. Bulyzhenkov 《Bulletin of the Lebedev Physics Institute》2014,41(1):1-5
Relativistic dynamics of distributed mass and charge densities of the extended classical particle is considered for arbitrary gravitational and electromagnetic fields. Both geodesic and field gravitational equations can be derived by variation of the same Lagrange density in the classical action of a nonlocal particle distributed over its radial field. Vector geodesic relations for material space densities are contraction consequences of tensor gravitational equations for continuous sources and their fields. Classical four-flows of elementary material space depend on local electromagnetic fourpotentials for charged densities, as in quantum theory. Besides the Lorentz force, these potentials result in two more accelerating factors vanishing under equilibrium internal stresses within the continuous particle. 相似文献
14.
15.
B. Mashhoon 《Annalen der Physik》2003,12(10):586-598
The nonlocal electrodynamics of accelerated systems is discussed in connection with the development of Lorentz‐invariant nonlocal field equations. Nonlocal Maxwell's equations are presented explicitly for certain linearly accelerated systems. In general, the field equations remain nonlocal even after accelerated motion has ceased. 相似文献
16.
This paper is a review of the canonical proper-time approach to relativistic mechanics and classical electrodynamics. The
purpose is to provide a physically complete classical background for a new approach to relativistic quantum theory. Here,
we first show that there are two versions of Maxwell’s equations. The new version fixes the clock of the field source for
all inertial observers. However now, the (natural definition of the effective) speed of light is no longer an invariant for
all observers, but depends on the motion of the source. This approach allows us to account for radiation reaction without
the Lorentz-Dirac equation, self-energy (divergence), advanced potentials or any assumptions about the structure of the source.
The theory provides a new invariance group which, in general, is a nonlinear and nonlocal representation of the Lorentz group.
This approach also provides a natural (and unique) definition of simultaneity for all observers. 相似文献
17.
We formulate a holomorphic theory of gravity and study how the holomorphy symmetry alters the two most important singular
solutions of general relativity: black holes and cosmology. We show that typical observers (freely) falling into a holomorphic
black hole do not encounter a curvature singularity. Likewise, typical observers do not experience Big Bang singularity. Unlike
Hermitian gravity (Mantz and Prokopec in , 2008), holomorphic gravity does not respect the reciprocity symmetry and thus it is mainly a toy model for a gravity theory formulated
on complex space-times. Yet it is a model that deserves a closer investigation since in many aspects it resembles Hermitian
gravity and yet calculations are simpler. Our study of light bending and gravitational waves in weak holomorphic gravitational
fields strongly suggests that holomorphic gravity reduces to general relativity at large distance scales. 相似文献
18.
This paper reviews the origin of inertia according to Mach's principle and Weber's law of gravitation. The resulting theory is based on simultaneous nonlocal gravitational interactions between particles in the solar system and others in the remote universe beyond the Milky Way galaxy. It explains the precession of the perihelion of Mercury. A most important implication of the Mach-Weber theory of the force of inertia is the necessity for a large amount of uniformly distributed matter in the galactic universe. This matter could be the source of the cosmic background radiation. Nonlocal inertia forces are compatible with a static universe and also with an expanding universe but the latter would demand slow changes in the mass of particles and the gravitational constant. 相似文献
19.
We present a new model of inflation in which the inflaton is the extra component of a gauge field in a 5D theory compactified on a circle. The chief merit of this model is that the potential comes only from nonlocal effects so that its flatness is not spoiled by higher-dimensional operators or quantum gravity corrections. The model predicts a red spectrum (n approximately 0.96) and a significant production of gravitational waves (r approximately 0.11). We also comment on the relevance of this idea to quintessence. 相似文献
20.
K. Nagata 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2010,56(3):441-444
The theoretical resource state for the implementation of the Deutsch-Jozsa algorithm is a multiqubit pure uncorrelated state.
We show that N-qubit pure uncorrelated quantum states cannot admit rotationally invariant nonlocal realistic theories with
a violation factor of 3N. We find
the violation factor 3Nwhen the measurement setup is entire range of settings for each of the observers, that is, considering rotationally invariant
nonlocal realistic theories along with the property of a correlation function in the quantum theory. The implementation of
the Deutsch-Jozsa algorithm theoretically relying on N-qubit pure uncorrelated states rules out rotationally invariant nonlocal
realism with a violation factor of 3Nin an ideal case. Our analysis relies on the property of theoretical resource states for the algorithm. We cannot simulate
the Deutsch-Jozsa algorithm by using rotationally invariant nonlocal realistic theories due to the property of theoretical
resource states for the algorithm. 相似文献