A Machian definition of particle mass in higher-dimensional gravity

An expression is derived where the mass is connected to an integral over the pressure of gravitating matter in the frame work of five dimensional(5D) space-time.

Electromagnetic mass models are proved to exist in higher dimensional theory of general relativity corresponding to charged dust distribution. Along with the general proof a specific example is also sited as a supporting candidate.

When four-dimensional general relativity is embedded in an unconstrained man-ner in a fifth dimension, the physical quantities of spacetime can be interpreted as geometrical properties related to the extra dimension. It has become widespread to view the ten Einstein equations and the source terms of the energy-momentum tensor in this way. We now assign physical meanings to the other five equations involved. The scalar field acts like gravity, but concerns inertial as opposed ...

Based on the theory of submicroscopic quantum mechanics recently constructed by the author the mass of elementary spatial excitations called inertons, which accompany a moving particle, is estimated herein. These excitations are treated as carriers of both inertial and gravitational properties of the particle.

Much effort has been made in trying to solve or at least evade the inconsistencies that emerge from general relativity as the framework for a cosmological model. The extradi- mensional models rise as superb possibilities on this regard. In this work I present cosmo- logical solutions for Wesson's Space-Time-Matter theory of gravity. A relation between mass variation at cosmological scales and the expansion velocity of the universe is ob- tained. Such a relation yields novel f...

We propose a five-dimensional standard model which regards the Higgs field as a weak boson associated with the fifth dimension. The kinetic term of the Higgs field is obtained from the fifth components of field strengths defined in five dimension. The coupling constant of the fermion fields and the Higgs field is only the weak coupling constant. However, since the vacuum expectation value depends on the fifth coordinate, we can explain the various mass spectrum of elementary ...

It is well known that, in the five-dimensional scenario of braneworld and space-time-mass theories, geodesic motion in 5D is observed to be non-geodesic in 4D. Usually, the discussion is purely geometric and based on the dimensional reduction of the geodesic equation in 5D, without any reference to the test particle whatsoever. In this work we obtain the equation of motion in 4D directly from the principle of least action. So our main thrust is not the geometry but the partic...

Higher derivative theories of gravity are associated with a mass scale to insure the correct dimensionality of the covariant derivatives. This mass scale is known as the scale of non-locality. In this paper, by considering a higher derivative toy model, we show that for a system of $n$ particles the effective mass scale is inversely proportional to the square root of the number of particles. We demonstrate that as the number of particles increases the corresponding effective ...

It is shown that gravitational nature of inertial mass (Mach principle) agrees with idea of interaction of gravitational and electromagnetic forces and does not contradict the laws of classical mechanics. According to the simple phenomenological model the body inertial mass is directly proportional to its gravitational mass and the sum of coefficients, which characterize degrees of interaction of gravitational forces in accelerated motion of the body in accompanying and oppos...

We investigate spontaneous symmetry breaking in a conformally invariant gravitational model. In particular, we use a conformally invariant scalar tensor theory as the vacuum sector of a gravitational model to examine the idea that gravitational coupling may be the result of a spontaneous symmetry breaking. In this model matter is taken to be coupled with a metric which is different but conformally related to the metric appearing explicitly in the vacuum sector. We show that a...