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Register a new userNew Developments on Gravitational Force and Nonlinear Oscillations of Space
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Added by
Behram N. Kursunoglu
Publication date
2001
fields
Physics
and research's language is
English
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This paper contains results obtained as solutions of the Unified Field Theory equations. It yields space nonlinear oscillations, a quartet of gravitational forces, quintessence, and replaces Einsteins Cosmological Constant by an invariant parameter $r_0$ which prevails over the entire evolution of the Universe.
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We prove that, when linearized, the governing equations of an incompressible elastic continuum yield Maxwells equations as corollaries. Through judicious distinction between the referential and local descriptions, the principle of material invariance is established and shown to be a true covariance principle, unlike the Lorentz covariance, which is valid only for non-deforming frames in rectilinear relative motion. Thus, this paper establishes that electrodynamics can be fully explained if one assumes that it is the manifestation of the internal forces of an underlying elastic material which we term the metacontinuum. The new frame-indifferent formulation of electrodynamics is shown to incorporate the Lorentz force as an integral part of Faradays law, rather than as an additional empirical variable. Respectively, if the upper-convected derivative is added in Maxwells displacement current it can explain Biot-Savarts and Oersted-Amperes laws. An immediate corollary of the material invariance is the Galilean invariance of the model. The possible detection of the absolute continuum is also discussed. First, the famous experiment of Ives and Stilwell is reexamined with a modified Bohr-Rydberg formula for the emitted frequencies from a moving atom, and it is shown that the results are fully compatible with the presence of an absolute medium. Second, a new interferometry experiment is proposed in which the first-order Doppler effect can be measured, and thus the presence of a medium at rest can be unequivocally established.
This paper discovers geometric unification theory of the grand unification and gravitational interactions and their new physics according to the general fiber bundle theory, symmetry and so on. Consequently, the research of this paper is based on the exact scientific bases of mathematics and physics. The Lagrangians of the grand unification and gravitational interactions are unifiedly deduced from quantitative causal principle (QCP) and satisfy the gauge invariant principle of general gauge fields interacting with Fermion and/or boson fields. The geometry and physics meanings of gauge invariant property of different physical systems are revealed, and it is discovered that all the Lagrangians of the four fundamental physics interactions are composed of the invariant quantities in corresponding spacetime structures. The difficulties that fundamental physics interactions and Noether theorem are not able to be unifiedly given and investigated are overcome, the geometric unification theory and origins of the four fundamental physics interactions and Noether theorem are shown by QCP, their two-order general Euler-Lagrange Equations and corresponding Noether conservation currents are derived in general curved spacetime. This paper further deduces QCP from symmetric principle. Consequently, geometric unification theory of the grand unification and gravitation theories and Noether theorem based on symmetric principle and the new physics are given in this paper. This paper further gives the unification of QCP and symmetric principle. Thus, this paper opens a door to both study and give new developments of geometric unification theory of physics laws, and using the new geometric unification theory, a lot of research works about different branches of physics can be anew done and expressed simpler with different symmetric characters.
The program FeynRules is a Mathematica package developed to facilitate the implementation of new physics theories into high-energy physics tools. Starting from a minimal set of information such as the model gauge symmetries, its particle content, parameters and Lagrangian, FeynRules provides all necessary routines to extract automatically from the Lagrangian (that can also be computed semi-automatically for supersymmetric theories) the associated Feynman rules. These can be further exported to several Monte Carlo event generators through dedicated interfaces, as well as translated into a Python library, under the so-called UFO model format, agnostic of the model complexity, especially in terms of Lorentz and/or color structures appearing in the vertices or of number of external legs. In this work, we briefly report on the most recent new features that have been added to FeynRules, including full support for spin-3/2 fermions, a new module allowing for the automated diagonalization of the particle spectrum and a new set of routines dedicated to decay width calculations.
It is not known if, in addition to the Newtons inverse square law component, the gravitational force has some non-Newtonian, long-range components that have escaped detection until now. For example, the non-Newtonian component of the gravitational force naturally arises if gravity is interpreted as an entropic force, or under far reaching hypothesis that quantum vacuum contains virtual gravitational dipoles. We point out that some trans-Neptunian objects (for instance a binary system or a dwarf planet with its satellite) might be a good laboratory to establish the eventual existence of non-Newtonian components of gravity. The key points are that, in the case of an ideal two-body system, the perihelion precession can be caused only by a gravitational force that deviates from the inverse square law and that the perihelion precession rate is larger in systems with smaller mass. It is shown, that in some trans-Neptunian (two-body) systems, the perihelion precession rate caused by internal interactions might be larger than the (inevitable) precession induced by external gravitational field.
Within the framework of fractional calculus with variable order the evolution of space in the adiabatic limit is investigated. Based on the Caputo definition of a fractional derivative using the fractional quantum harmonic oscillator a model is presented, which describes space generation as a dynamic process, where the dimension $d$ of space evolves smoothly with time in the range 0 <= d(t) <=3, where the lower and upper boundaries of dimension are derived from first principles. It is demonstrated, that a minimum threshold for the space dimension is necessary to establish an interaction with external probe particles. A possible application in cosmology is suggested.
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