arXiv subjects

Vikram H. Zaveri

Publications and source records attributed to Vikram H. Zaveri.

5 recordsLinked to original sources

arXiv2026

Periodic relativity: the theory of gravity in flat space time

Periodic relativity (PR), uses a flat metric without weak field approximation. PR satisfies Einstein's field equations. PR proposes a definite connection between the proper time interval of an object and Doppler frequency shift of its constituent particles. This is because fundamentally time is periodic in nature. Periodic time of PR is the key parameter in development of quantum gravity theory in which the universe begins with a quantum fluctuation in the fundamental substance of the universe which is infinite, motionless and indivisible. PR is based on the dynamic weak equivalence principle which equates the gravitational mass with the relativistic mass. PR provides accurate solutions for the rotation curves of galaxies and the energy levels of the Hydrogen spectra including Lamb shift using common formalism. Flat space time with Lorentz invariant acceleration presented here makes it possible to unite PR with quantum mechanics. PR predicts limiting radius of the event horizon of a black hole to be 1R_g and the shadow of a black hole to be due to frequency shift of visible light into ultraviolet and higher range. PR equations can probe inside the event horizon. Mathematical proof of periodic nature of time is presented by way of introducing gravity into the electromagnetic wave formalism. Theory shows that the electromagnetic wave is held together by gravitational forces. Theory explains the mechanism of gravitational redshift predicted by general relativity and predicts powerful gravitational radiation at Planck epoch. Gravitational-wave strain amplitude is derived using quantum mechanical formalism. Bound on graviton mass is mg < 1.51 x 10^{-41}eV/c^2. Mechanism that explains Gamma-ray burst associated with GW150914 is presented. GRB can shrink the event horizon. Gravity assisted EM wave stacking creates $γ$-rays in M87 BH.

physics.gen-ph↗

arXiv2024

Orbital period derivative of a binary system using an exact orbital energy equation

It is proposed that the equations of motion in periodic relativity which yielded major predictions of general relativity are exact in nature and can be applied to pulsars and inspiraling compact binaries for analyzing orbital period derivative and two polarization gravitational wave forms. Exactness of these equations eliminates the need for higher order xPN corrections to the orbital energy part of the balance equation. This is mainly due to the introduction of dynamic WEP which states that the gravitational mass is equal to the relativistic mass.

physics.gen-ph↗

arXiv2014

Periodic relativity: deflection of light, acceleration, rotation curves

Vectorial analysis relating to derivation of deflection of light is presented. Curvilinear acceleration is distinguished from the Newtonian polar conic acceleration. The difference between the two is due to the curvature term. Lorentz invariant expression for acceleration is derived. A physical theory of rotation curves of galaxies based on second solution to Einstein's field equation is presented. Theory is applied to Milky Way, M31, NGC3198 and Solar system. Modified Kepler's third law yields correct orbital periods of stars in a galaxy. Deviation factor in the line element of the theory happens to be the ratio of the Newtonian gravitational acceleration to the measured acceleration of the star in the galaxy. Therefore this deviation factor can replace the MOND function.

physics.gen-ph↗

arXiv2014

Quarkonium and hydrogen spectra with spin dependent relativistic wave equation

A non-linear non-perturbative relativistic atomic theory introduces spin in the dynamics of particle motion. The resulting energy levels of Hydrogen atom are exactly same as the Dirac theory. The theory accounts for the energy due to spin-orbit interaction and for the additional potential energy due to spin and spin-orbit coupling. Spin angular momentum operator is integrated into the equation of motion. This requires modification to classical Laplacian operator. Consequently the Dirac matrices and the k operator of Dirac's theory are dispensed with. The theory points out that the curvature of the orbit draws on certain amount of kinetic and potential energies affecting the momentum of electron and the spin-orbit interaction energy constitutes a part of this energy. The theory is developed for spin 1/2 bound state single electron in Coulomb potential and then further extended to quarkonium physics by introducing the linear confining potential. The unique feature of this quarkonium model is that the radial distance can be exactly determined and does not have a statistical interpretation. The established radial distance is then used to determine the wave function. The observed energy levels are used as the input parameters and the radial distance and the string tension are predicted. This ensures 100% conformance to all observed energy levels for the heavy quarkonium.

physics.gen-ph↗

arXiv2008

Pioneer anomaly: a drift in the proper time of the spacecraft

A relativistic theory is proposed to explain the anomalous accelerations of Pioneer 10/11, Galileo and Ulysses spacecrafts. The theory points out at the limitations of the weak field approximation and proposes a drift in the proper time of the spacecraft outside the framework of general relativity. The theory yields a very accurate and precise value for the anomalous acceleration. In this theory the proper time of a body is associated with the gravitational frequency shift of the constituent fundamental particles of the body. The frequency shift changes the energy level of the body which gets reflected in its relativistic mass and therefore in its motion. This change in energy level causes the time like geodesics to deviate from that of the standard theoretical models. We introduce proper time in the line element of a metric theory according to a fixed set of rules laid down by general relativity for introducing deviation in the flat Minkowski metric. The frequency shift for bodies of different composition traversing different trajectories however, is not the same and this gets reflected in its motion as an unmodeled anomalous effect. This association of proper time with the gravitational frequency shift of the body requires the flat Minkowski metric to deviate in different ways for different two body systems. The solution to Pioneer anomaly given here yields anomalous acceleration within the limits of observational accuracy. Gravitational redshift of light, bending of light and perihelic precession of planets are within the permissible limits. The theory shows that Einstein's field equations do provide some clue to the Pioneer anomaly but the solution is not very accurate. The theory can also explain the rotation curves of the spiral galaxies.

physics.gen-ph↗