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Journal of High energy Physics, Gravitation and Cosmology 2016年第1期2卷 19-24页

作者： Andrew Walcott Beckwith Physics Department Chongqing University Huxi Campus Chongqing China

We will be looking at the energy of a graviton, based upon the stress energy tensor, and from there ascertaining how fluctuations in early universe conditions impact the mass of a graviton. Physically the mass of the graviton would be shrinking right after Planck time and presumably it would be going to its equilibrium value of about 10-62 grams, for its present day value. It, graviton mass, would increase up to the Plank time of about 10-44 seconds. Note that the result that graviton mass shrinks to 10-62 grams for its present day value works only for relic gravitons.

关键词： Heavy Gravity Plank Time stress energy tensor

Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps

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Science China Mathematics 2013年第5期56卷 1019-1032页

作者： YANG GuiLin HAN YingBo DONG YuXin School of Mathematical Sciences Fudan University Key Laboratory of Mathematics for Nonlinear Sciences Ministry of EducationFudan University College of Mathematics and Information Science Xinyang Normal University

In this paper, we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into Kiihler manifold. Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V = JMδJM satisfies some decay conditions, we use stress-energy tensors to establish some monotonicity formulas of partial energies of Hermitian pluriharmonic maps. These monotonicity inequalities enable us to derive some holomorphicity for these Hermitian pluriharmonic maps.

关键词： stress energy tensor monotonicity formula Hermitian pluriharmonic map holomorphic map

Gedanken Experiment for Using Boltzmann Equation for Relic Graviton Frequencies, in Pre-Planckian Physics and the Independence of Relic Graviton Density from Either Single Repeating Universe Models or Multiverses

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Journal of High energy Physics, Gravitation and Cosmology 2016年第1期2卷 83-91页

作者： Andrew Walcott Beckwith Physics Department Chongqing University Huxi Campus Chongqing China

We look at what may occur if Boltzmann equations, as presented by Murayama in 2007, Les Houches, are applied to graviton density in a pre-Planckian universe setting. Two restrictions are in order. First of all, we are assuming a graviton mass on the order of 10?62 grams, as if the pre-Planckian regime does not change the nature of Graviton mass, in its low end. Secondly, we are also assuming that a comparatively low temperature regime (far below the Planckian temperature) exists. Finally we are leaving unsaid what may happen if Gravitational waves enter the Planck regime of ultra-high temperature. With those three considerations, we proceed to examine a Graviton density value resulting from perturbation from low to higher temperatures. In the end an ultra- hot Pre big bang cosmology will yield essentially no early universe information transfer crossovers to our present cosmological system. This is not affected by the choice if we have a single repeating universe, or a multiverse. A cold pre inflationary state yields a very different situation. Initial frequencies of Gravitons, though, as outlined may be different in the multiverse case, as opposed to the single repeating universe case. We close with comments as to Bicep 2, and how this document has material as to how to avoid the BICEP 2 disaster. And about choosing between either the possibility of massless Scalar-tensor Gravity as the correct theory of gravitation or conventional GR.

关键词： Boltzmann Equation stress energy tensor Quantum Bounce Infinite Quantum Statistics Heavy Gravity Third Polarization Massless Scalar-tensor Gravity

Gravitational Space-Time Curve Generation via Accelerated Charged Particles

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Journal of Modern Physics 2016年第9期7卷 863-874页

作者： Edward A. Walker Mathematics Department Florida Memorial University Miami Gardens USA

A force with an acceleration that is equal to multiples greater than the speed of light per unit time is exerted on a cloud of charged particles. The particles are resultantly accelerated to within an infinitesimal fraction of the speed of light. As the force or acceleration increases, the particles’ velocity asymptotically approaches but never achieves the speed of light obeying relativity. The asymptotic increase in the particles’ velocity toward the speed of light as acceleration increasingly surpasses the speed of light per unit time does not compensate for the momentum value produced on the particles at sub-light velocities. Hence, the particles’ inertial mass value must increase as acceleration increases. This increase in the particles’ inertial mass as the particles are accelerated produce a gravitational field which is believed to occur in the oscillation of quarks achieving velocities close to the speed of light. The increased inertial mass of the density of accelerated charged particles becomes the source mass (or Big “M”) in Newton’s equation for gravitational force. This implies that a space-time curve is generated by the accelerated particles. Thus, it is shown that the acceleration number (or multiple of the speed of light greater than 1 per unit of time) and the number of charged particles in the cloud density are surjectively mapped to points on a differential manifold or space-time curved surface. Two aspects of Einstein’s field equations are used to describe the correspondence between the gravitational field produced by the accelerated particles and the resultant space-time curve. The two aspects are the Schwarzchild metric and the stress energy tensor. Lastly, the possibility of producing a sufficient acceleration or electromagnetic force on the charged particles to produce a gravitational field is shown through the Lorentz force equation. Moreover, it is shown that a sufficient voltage can be generated to produce an acceleration/force on the part

关键词： Charged Particles Accelerated Particles Inertial Mass Gravitational Force Einstein’s Field Equations Space-Time Manifold Schwardchild Metric stress energy tensor Surjective Mapping Lorentz Force

Gedanken Experiment for Degree of Flatness, or Lack of, in Early Universe Conditions

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Journal of High energy Physics, Gravitation and Cosmology 2016年第1期2卷 57-65页

作者： Andrew Walcott Beckwith Physics Department Chongqing University Huxi Campus Chongqing China

This document will from first principles delineate the degree of flatness, or deviations from, in early universe models. We will, afterwards, make comparison with recent results we have looked at concerning metric tensor fluctuations and comment upon the role of what early universe gravitational energy may play a role in the presumed deviation from flat space results. Note that N~Sinitial(graviton)~1037 will be tied into the presumed results for initial state density, in ways we will comment upon, leading to observations which are supporting the physics given by Equation (26) of this document as with regards to Gravitational waves, from relic conditions. The deviations from flat space may help confirm the conclusions given by Buchert, Carfora, Kolb, and Wiltshire allegedly refuting the claim by Green and Wald that “the standard FLRW model approximates our Universe extremely well on all scales, except close to strong field astrophysical objects”, as well as give additional analysis appropriate for adding detail to expanding experimental procedures for investigating non FLRW models such as the Polynomial Inflation models as given by Kobayashi, and Seto, as well as other nonstandard cosmologies, as brought up by Corda, and other researchers. As well as improve upon post Bicep 2 measurements which will avoid GW signatures from interstellar dust, as opposed to relic GW. We hope that our approach may help in the differentiation between different cosmology models. Most importantly, our procedure may help, with refinement of admissible frequency range, avoid the problem of BICEP 2, which had its presumed GW signals from presumed relic conditions identical to dust induced frequencies, as so identified by the Planck collaboration in reference [25] which we comment upon in the conclusion.

关键词： HUP stress energy tensor Quantum Bounce Infinite Quantum Statistics Heavy Gravity