Session Y11: Quantum Mechanics and General Relativity

Live

For almost a century, physicists have entertained the idea of extra spatial dimensions. Within general relativity, these extra dimensions allow physical processes that are otherwise forbidden in the usual four dimensional setting. In this talk, I will investigate the surprising behavior of higher dimensional Schwarzschild black holes when electric charges fall into them. Contrary to the "hairless" four-dimensional case, in higher dimensions this process endows the black hole with electric multipole hair. Interestingly, this implies the topology of the event horizon changes as the charge falls in.   

Live

We show that for the photon mass consistent with the experimental limit, $m_{ph} \leq 10^{-18}$~eV, the one-way speed of light anisotropy, $\Delta c_1/c$, is below $10^{-37}$ and this limit become even stronger for the lower value of the mass.   

Live

In this paper some aspects of Quantum mechanics has been studied in Rindler spacetime. We show that in Rindler spacetime phenomenons like squeezing and Zitterbewegung effect takes place. We try to find out the energy spectrum of the given Hamiltonian in Rindler spacetime through Perturbation techniques. Since the solution to the Hamiltonian is non-normalizable we also introduce a re-normalization scheme. We non perturbatively calculate the eigenstates of the Dirac Hamiltonian in Rindler spacetime in case of massless fermions. We then map our solutions to Multiphoton Quantum Rabi Model which can be easily used for the simulation of this problem. Also Since the metric for a schwarzchild black hole is equivalent to Rindler metric near the event horizon, our calculations can also be extended to exterior solutions of (1+1)D blackhole systems. We calculate the energy eigenstates and energy eigenvalues in case of exterior solutions to schwarchild's black hole. We also calculate the entropy of the blackhole with respect to a particle free-falling into the black hole. We also try to find out the critical temperature at the horizon of the blackhole .   

Live

We develop an approach to calculate the self-force on a charged particle held in place in a curved spacetime, in which the particle is attached to a massless string and the force is measured by the string's tension. The calculation is based on the Weyl class of static and axially symmetric spacetimes, and the presence of the string is manifested by a conical singularity; the tension is proportional to the angular deficit. A remarkable and appealing aspect of this approach is that the calculation of the self-force requires no renormalization of the particle'™s field. This is in contract with traditional methods, which incorporate a careful and elaborate subtraction of the singular part of the field. We implement the approach in a number of different situations. First, we examine the case of an electric charge in Schwarzschild spacetime, and recover the classic Smith-Will force. Second, we turn to the case of electric and magnetic dipoles in Schwarzschild spacetime, and correct expressions for the self-force previously obtained. Third, we replace the electric charge by a scalar charge, and recover Wiseman'™s no-force result. And fourth, we calculate the force exerted on extended bodies such as Schwarzschild black holes and Janis-Newman-Winicour objects.   

Live

This author had previously posited that Positrons may ``evaporate'' into ``holes'' as one of their decay paths in free space. One of the outcomes of this is the construction and cooling of empty Space Time to absolute zero. One example of cooling due to the flow of ``holes'' can be seen in the evaporation of water in trees. A tree that is 100 feet tall will evaporate around 11,000 gallons of water in a growing season. A tree uses no energy in raising a column of water. The energy to move the water comes from the evaporation of the molecule at the leaf. When one of the molecules evaporates, a ``hole'' migrates down from the leaf and into the soil. Like many Biological problems, the electromagnetics of trees is very gentle, and using Quasiparticles like ``holes'' as in this way there are no collisions, as seen in Particle Physics. The ``hole'' transmits the information and the force into the soil, but no mass is done in doing so, so it does not rip the soil apart, or do electrophoresis. So no polarization occurs in the soil, for the ``hole'' to electromagnetically attract another water molecule. Changes do occur in the soil however. The Soil itself is stiffened and strengthened by the flow of the water to the roots, this has been shown experimentally. The tendrils of ``Dark Matter'' that are seen, may also be due to the flow of ``holes'', as Positrons in free space evaporate into ``holes.'' The ``holes'' would be very difficult to detect, just as they are difficult to detect, even when we know that they are there, in capillary action in tree roots. This interesting effect to expel the water molecule from the leaf is obviously   

On Demand

We analyze asymptotic symmetries at spatial infinity in four-dimensional asymptotically flat spacetimes and derive formulae for the charges corresponding to asymptotic supertranslations and Lorentz symmetries using the covariant phase space formalism. Contrary to previous analyses of this problem, we do not impose restrictions on the conformal factor that break the Spi group of asymptotic symmetries to a smaller subgroup. For this reason, our Lorentz charge expression generalizes older expressions in the literature. We expect our expression for the Lorentz charge to be more suitable for comparing with the Lorentz charges defined at null infinity and thereby relating asymptotic symmetries defined on past and future null infinity to those at spatial infinity.   

On Demand

The Dzyaloshinskii-Moriya (DM) interaction is the source of various unique emergent phenomena in the field of magnetism and its investigation is of potential impact in the field of quantum information that has been an interesting topic in nowadays. We aim to study the effect of uniform Dzyaloshinskii-Moriya interaction (antisymmetric spin coupling) and arbitrary oriented external magnetic fields in the $\hat{x}$ and $\hat{z}$ directions $h_x$, $h_y$, on quantum entanglement is investigated in the quantum spin-1/2 one-dimensional Heisenberg antiferromagnetic model. The Von Neumann entropy of quantum entanglement is calculated employing Abelian bosonization and density matrix renormalization group. We investigate the influence of quantum phase transition of three competing phases (N\'eel phase, dimerized phase and gapless Luttinger liquid phase) on quantum entanglement at zero-temperature.   

A Refutation of Special Relativity

This paper presents compelling rational arguments in favor of the Newtonian principles of time invariance (TI) and mass invariance (MI), in contention with the special relativity (SR) principles of relativistic time dilation and relativistic mass. Firstly, those classical experiments in the phenomenological areas of (i) $\mu $- and $\pi $-meson lifetimes (ii) the Compton effect, (iii) positron annihilation, (iv) electron motion in an electric field, (v) electron motion in a magnetic field, and (vi) the transverse Doppler effect, currently upheld as incontrovertibly supporting SR, have been remarkably reinterpreted within the context only of the Newtonian TI and MI principles, and without invoking SR principles. Secondly, several fundamental weaknesses of SR are delineated by careful analyses. Both the experimental and theoretical sets of arguments above lead to the inevitable conclusion that the Newtonian TI and MI principles alone are sufficient to satisfactorily explain known experiments. Implications of excluding SR principles from the framework of fundamental laws will also be discussed.   

On Demand

The speed of light as a constant is one of the first lessons taught in undergraduate physics. We learn that the speed of light does not vary whether measured in a reference frame that is relatively moving or not moving\textellipsis But why is this so? Maxwell's equations suggested that the speed of light would have the same value in all reference frames because in the derivation of these equations, no distinction was made as to the relative motion of the reference frame Maxwell's mathematics was applied to. Einstein took note of this property and used the speed of light as a constant in all reference frames as a postulate to develop the theory of special relativity. He then went on to derive general relativity and gave us an extremely valid model of the universe\textellipsis BUT with all this theoretical knowledge, the model we currently use still does not tell us why the speed of light is a constant in all reference frames. In order to understand the underlying nature of light moving through spacetime, a more fundamental model that is consistent with our current model is required, a model which can tell us\textellipsis Why is the speed of light the same in all reference frames?