arXiv subjects

A. W. Beckwith

Publications and source records attributed to A. W. Beckwith.

At least 37 records · Page 2Linked to original sources

arXiv2006

Matching Scherrer's k essence argument with alterations of Di Quark scalar fields permitting an eventual comological constant dominated inflationary expansion

We previously showed that we can use di quark pairs as a model of how nucleation of a new universe occurs. We now can construct a model showing evolution from a dark matter dark energy mix to a pure cosmological constant cosmology due to changes in the slope of the resulting scalar field,using much of Scherrer's k-essence model.This same construction permits a use of the speed of sound,in k-essence models evolving from zero to one. Having the sound speed eventually reach unity permits matching conventional cosmological observations in the aftermath of change of slope of a di quark pair generated scalar field during the nucleation process of a new universe. These results are consistent with applying Bunyi and Hu's semi classical criteria for cosmological potentials to indicate a phase transition alluded to by Dr. Edward Kolbs model of how the initial degrees of freedom declined from over 100 to something approaching what we see today in flat space cosmology.

gr-qc↗

arXiv2005

How soliton-anti soliton di quark pairs signify an Einstein constant dominated cosmology, and lead to new inflationary cosmology physics

We review the results of a model of how nucleation of a new universe occurs, assuming a di quark identification for soliton-anti soliton constituent parts of a scalar field. Initially, we employ a false vacuum potential system; however ,when cosmological expansion is dominated by the Einstein cosmological constant at the end of chaotic inflation, the initial di quark scalar field is not consistent with respect to a semi classical consistency conditions we analyze as the potential changes to the chaotic inflationary potential utilized by Guth. We use Scherrer's derivation of a sound speed being zero during initial inflationary cosmology, and obtain a sound speed approaching unity as the slope of the scalar field moves away from a thin wall approximation. All this is to aid in a data reconstruction problem of how to account for the initial origins of CMB due to dark matter since effective field theories as presently constructed require a cut off value for applicability of their potential structure. This is often at the cost of, especially in early universe theoretical models, of clearly defined baryogenesis, and of a well defined mechanism of phase transitions.

gr-qc↗

arXiv2005

How soliton- anti soliton di quark pairs signify an Einstein constant dominated cosmology and facilitate reconstruction of initial dark matter contributions to CMB

We review the results of a model of how nucleation of a new universe occurs, assuming a di quark identification for soliton-anti soliton constituent parts of a scalar field. The intial potential system employed is semi classical in nature, becoming non-classical at the end of chaotic inflation at the same time cosmological expansion is dominated by the Einstein cosmological constant. We use Scherrer's derivation of a sound speed being zero during initial inflationary cosmology, and cange it afterwards as the slope of the scalar field moves away from a thin wall approximation. All this is to aid in a data reconstruction problem of how to account for the initial origins of CMB due to dark matter since effective field theories as presently constructed require a cut off value for applicability of their potential structure. This is often at the cost of, especially in early universe theoretical models, of clearly defined baryogenesis, and of a well defined mechanism of phase transitions. The material below is now a proposal, in part accepted as a point of discussion as a white paper (appropriately) submitted to the Dark Energy Task Force, in its mission to advise (through its parent committees) the NSF, NASA and DOE. This was for helping to select both ground-based and space-based techniques for analyzing data as well as recommending the science requirements for a space-based dark energy mission.

physics.gen-ph↗

arXiv2005

How the alteration of a thin wall for soliton-anti soliton di quark pairs signifies an Einstein constant dominated cosmology and a role for Extra dimensions in initial nucleation of a new universe

We use as a model of how nucleation of a new universe occurs, assuming a di quark identification for soliton-anti soliton constituent parts of a scalar field. We construct a model showing evolutin from a dark matter dark energy mix to a pure cosmological constant cosmology due to changes in the slope of a graph of the resulting scalar field. The initial potential system employed is semi classical in nature, becoming non classical at the end of chaotic inflation at the same time cosmological expansion is dominated by the Einstein cosmological constant. We use Scherrer's derivation of a sound speed being zero during initial inflationary cosmology and change it afterwards as the slope of the scalar field moves away from a thin wall approximation. Furthermore, the results in Bo Qin's article about extra dimensions from dark matter, permit us to show the impact of dimensionality upon the rule of semi classical approximations to inflation models. We conclude that the new force law specified by Bo Qin and additional dimensions would play a role in the early universe and be extremely important to the onset of inflationary expansion due to nucleation of di quark pairs in a soliton-anti soliton configuration.

physics.gen-ph↗

arXiv2005

Making an analogy between a multi chain interaction in charge density wave transport and the use of the Bogomil'nyi inequality to form soliton - anti soliton pairs

First we show through a simulation that a massive Schwinger model used to formulate solutions to charge density wave transport is in itself insufficient for transport of solitons (anti solitons) through a pinning gap model of charge density wave transport. We show that a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors ) permits formation of solitons (anti solitons) which could be used to transport charge density waves through a potential barrier . We argue that there are analogies between this construction and the false vacuum hypothesis used for showing a necessary and sufficient condition for formation of charge density wave soliton - anti soliton pairs in wave functionals presented in a prior publication via use of the Bogomil'nyi inequality

math-ph↗

arXiv2005

Using di quark pairs as a way to obtain dark matter near the beginning of nucleation of a new universe

Using the Bogomolnyi inequality and the vanishing of topological charge at the onset of nucleation of a new universe permits a simpler, more direct of how topological defects(kinks and anti kinks) contribute to the onset of initial conditions at the beginning of inflationary cosmology. We find that it is possible to present inflationary cosmology with initial conditions with di-quark pairs formed using an axion wall as a way to start formation of di quarks as soliton-anti soltion type pairs. This allows for a transition to inflationary cosmology congruent with with an initial nucleation state of matter which would have a significant dark matter componet in the beginning. The separation between the di-quark pairs constituents would be due to CP violations in the initial phases of matter creation and would be a convenient trigger for inflationary expansion.

math-ph↗

arXiv2005

Using the relic dark energy hypothesis to investigate the physics of cosmological expansion

We use the trans Plankian hypothesis about Dark energy as outlined by Mercini et al to investigate some of the physics of cosmological expansion. We find that a parametric oscillator equation frequency we can use leads to a time dependent frequency whose dispersion relationship behavior mimics the Epstein functions used by Mercini et al in the initial phases of cosmological expansion, but that it is very difficult to meet the trans Planckian assumptions of a vanishing of this same frequency with known physics at ultra high momentum values. So being the case, a numerical algorithm used to re construct the scale factor for cosmological expansion is proposed which is to re construct more of the physics of the Trans-Planckian hypothesis in Trans-Planckian momentum values

math-ph↗

arXiv2005

Temperature Dependence of Piezoelectric and Electrostrictive Properties in a PBN:65 Morphotropic Phase Boundary Thin Film

We used an optical reflection method to measure the temperature-dependence of the piezoelectricity, electrostriction and time constant of a morphotropic phase boundary (MPB) thin film. We obtained the piezoelectric constant and the electrostrictive constant as a function of temperature by curve fitting the experimental data. We also obtained the time constant as a function of temperature and applied voltage. An abnormal behavior of the strain that was larger at 275 K than at 285 K was observed. This observation was also consistent with the minimal hysteresis behavior of the time constant at 275 K. We provided a possible explanation for this observation.

cond-mat.mtrl-sci↗

arXiv2005

Pulsed Laser Deposition of a PBN:65 Morphotropic Phase Boundary Thin Film with Large Electrostriction

We deposited epitaxial thin films of Morphotropic Phase Boundary (MPB) Pb0.65Ba0.35Nb2O6 (PBN:65) on MgO substrates using pulsed laser deposition. Afterwards, a novel transmission optical experiment was developed to measure the electric field-induced bending angle of the thin film sample using a divergent incident light. From which the electric field-induced strain was obtained, and it was used to calculate the electrostrictive constant of the PBN thin film. The result is 0.000875 um2/V2, and it is consistent with what we measured in the reflection experiment.

cond-mat.mtrl-sci↗

arXiv2004

Making a wavefunctional representation of physical states congruent with the false vacuum hypothesis of Sidney Coleman

We examine quantum decay of the false vacuum in the driven sine-Gordon system and show how both together permit construction of a Gaussian wave functional. This is due to changing a least action integral to be similar with respect to the WKB approximation. In addition we find that the soliton - anti soliton (S-S') separation distance obtained from the Bogomol'nyi inequality permits after rescaling a dominant quadratic field contribution to the least action integrand. This is from an initial scalar potential characterized by a tilted double well potential construction.

math-ph↗

arXiv2004

Using fluctuations of Entropy as a starting point for obtaining behavior of scalar fields permitting collapse of thin wall approximation

We have shown that a scalar field can be used, employing Scherrer's k essence cosmological sound calculation, to model how we evolve from a dark matter- dark energy mix to a cosmological constant. Here, we are exploring what initiates the decay of the near perfect thin wall approximation on that scalar field to circumstances permitting a k essence speed-of-sound argument in favor of traditional models of Einstein's cosmological constant as a driving force for inflationary expansion.

math-ph↗

arXiv2004

Matching Scherrer's k essence arguement with behavior of scalar fields permitting derivation of a cosmological constant

We previously showed that we can use particle-anti particle pairs as a model of how nucleation of a new universe occurs. We now can construct a model showing evolution from a dark matter- dark energy mix to a pure cosmological constant cosmology due to changes in the slope of the resulting scalar field, using much of Scherrer's k-essence model. This same construction permits a use of the speed of sound, in k essence models,evolving from zero to one. Having the sound speed eventually reach unity permits matching conventional cosmological constant observations in the aftermath of change of slope of a soliton anti soliton pair during the nucleation process of a new universe. This also assumes that Scherrer's derivation of a sound speed being zero is appropriate during initial inflationary cosmology.

math-ph↗

arXiv2004

Making an analogy between a multi chain interaction in charge density wave transport and the use of wavefunctionals to form soliton- anti soliton pairs

A numerical simulation shows that a massive Schwinger model used to formulate solutions to charge density wave (CDW) transport is insufficient for transport of soliton- anti soliton pairs through a pinning gap model of CDW transport. However, a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors) permits formation of soliton - anti soliton pairs that could be used to transport CDW through a potential barrier. There are analogies between this construction and the false vacuum hypothesis used for showing a necessary and sufficient condition for wave functionals for formation of soliton - anti soliton pairs. This can be established by either use of the Bogomol'nyi inequality or through an experimental artifact resulting through use of the false vacuum hypothesis to obtain a proportional distance between the soliton - anti soliton pair charge centers

math-ph↗

arXiv2004

An open question: Are topological arguments helpful in setting initial conditions for transport problems in condensed matter physics?

The tunneling Hamiltonian is a proven method to treat particle tunneling between different states represented as wavefunctions in many-body physics. Our problem is how to apply a wave functional formulation of tunneling Hamiltonians to a driven sine-Gordon system. We apply a generalization of the tunneling Hamiltonian to charge density wave (CDW) transport problems in which we consider tunneling between states that are wavefunctionals of a scalar quantum field. We present derived I-E curves that match Zenier curves used to fit data experimentally with wavefunctionals congruent with the false vacuum hypothesis. THe open question is whether the coefficients picked in both the wavefunctionals and the magnitude of the coefficents of the driven sine Gordon physical system should be picked by topological charge arguements that in principle appear to assign values that have a tie in with the false vacuum hypothesis first presented by Sidney Coleman

math-ph↗

arXiv2004

The tunneling hamiltonian representation of false vaccuum decay: II. Application to soliton - anti soliton pair creation

The tunneling hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Our problem is here applying what we did in the first paper to a driven sine-Gordon system. Here we apply a generalization of the tunneling Hamiltonian to charge density wave transport problems, in which tunneling between states which are wavefunctionals of a scalar quantum field are considered. We derive I-E curves which match Zenier curves used to fit data experimentally with wavefunctionals congruent with the false vacuum hypothesis

math-ph↗

arXiv2004

Numerical Classical and Quantum Mechanical simulations of Charge Density wave models

We first present how to do a computer simulation of Charge Density Waves using a driven harmonic oscillator model by a numerical scheme as initially formulated by Littlewood, and then afterwards use this to present how the dielectric model as presented by this proceedure leads to a blow up at the initialization of a threshold field ET. We find that this is highly unphysical and this initiated our inquiry as to alternative models. Afterwards, we then investigate hwo to present this transport problem of CDW quantum mechanically, threough a numerical simulation of the massive Schwinger model. We find that this single chaing quantum mechanical simulation uwed to formulate solutions to CDW transport in itself is insufficient for transport of solitons(anti-solitons) through a pinning gap model of CDW. We show that a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors) permits formation of solitons (anti- solitons) which can be used to transport CDW through a potential barrier. This addition of the Peierls condensation energy term is essential for any quantum model of Charge Density Waves to give tunneling behavior as seen via a numerical simulation.

math-ph↗

arXiv2004

How false vacuum synthesis of a universe sets initial conditions which permit the onset of variations of a nucleation rate per Hubble volume per Hubble time

Using Bogomil'nyi inequality and the vanishing of topological charge at the unset of nucleation of a new universe permits a simpler,more direct insight into how topological defects (kinks and anti kinks) contribute to initial conditions at the onset of inflationary cosmology. Currently, there are few bridges between initial conditions for cosmological inflation and the nucleation of a new universe. This presentation shows how this can be done while still employing Venezianos prescription for forming a link between quanta of length, the magnitude of a dilaton field and forces gravitational and gauge alike.

math-ph↗

arXiv2004

Tunneling Hamiltonian representation of false vacuum decay I. Comparison with the Bogomil'nyi inequality

The tunneling Hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wave functions. Here we present a generalization of the tunneling Hamiltonian to quantum field theory, in which tunneling between states represented as wave functionals of a scalar quantum field is considered. We examine quantum decay of the false vacuum in the driven Sine-Gordon system, and show it is consistent with the tunneling formalism derived here and matches up with the soliton - anti soliton separation obtained from the Bogomil'nyi inequality. This inequality permits construction of a gaussian wave functional representation of soliton - anti soliton nucleated states and is consistent with respect to the false vacuum hypothesis

math-ph↗