Preston Jones | Embry-Riddle Aeronautical University (original) (raw)

Papers by Preston Jones

Eprint Arxiv Physics 0502072, Feb 14, 2005

The dyadic calculus is developed in a form suitable for the description of physical relations in ... more The dyadic calculus is developed in a form suitable for the description of physical relations in curved space. The 4-space equations of hydrodynamics and electrodynamics are constructed using this dyadic calculus. As a demonstration of the relationship between gravity and electrodynamics a time varying metric is shown to generate electromagnetic radiation.

Found Phys Lett, 2006

The gedanken experiment of the clock paradox is solved exactly using the general relativistic equ... more The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as the key observable parameter. This solution provides a formal demonstration of the identity between the special and general relativistic clock paradox with finite acceleration and where proper time is assumed to be the same in both formalisms. By solving the equations of motion for a freely falling clock in a static homogeneous field elapsed times are calculated for realistic journeys to the stars.

In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to... more In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to a gravitational wave background. The spectrum of the Unruh-Dewitt detector is of the same form as some scattering processes or three body decays such as muon-electron scattering or muon decay. Based on this similarity we propose that the Unruh-DeWitt detector response implies a "decay" or attenuation of gravitons, GGG, into photons, gamma\gammagamma, via G+Grightarrowgamma+gammaG + G \rightarrow \gamma + \gamma G+Grightarrowgamma+gamma or Grightarrowgamma+gamma+GG \rightarrow \gamma + \gamma + GGrightarrowgamma+gamma+G. Over large distances such a decay/attenuation may have consequences in regard to the detection of gravitational waves.

Aps Meeting Abstracts, Mar 1, 2008

In general relativity there have been several proposals as to what constitutes a uniform field. W... more In general relativity there have been several proposals as to what constitutes a uniform field. We give the gravitational field due to an infinite plane with finite mass per unit area, and show that this is the closest general relativistic analog to the Newtonian uniform field. Although we work in 4D we show that the 5D generalization of this solution is the starting point for many current research papers in particle physics and cosmology dealing with infinite extra dimension theories known as brane world models. This physical picture of the brane world models as higher dimensional versions of the general relativistic plane allows one to understand many of the features of these models in simple terms.

Eprint Arxiv Physics 0409113, Sep 22, 2004

The coordinate conditions for three exact solutions for the metric components of a coordinate sys... more The coordinate conditions for three exact solutions for the metric components of a coordinate system with constant acceleration or of a static plane symmetric gravitational field are presented. First, the coordinate condition that the acceleration of light is constant is applied to the field equations to derive the metric of a coordinate system of constant acceleration. Second, the coordinate conditions required to produce the metrics of Rindler and Lass are applied to the field equations to calculate the components of these two metrics and the coordinate velocities and coordinate accelerations for light of these two metrics are compared to the coordinate system of constant acceleration.

International Journal of Modern Physics D, 2015

In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to... more In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to a gravitational wave background. The spectrum of the Unruh-Dewitt detector is of the same form as some scattering processes or three body decays such as muon-electron scattering i.e. µ − + e − → ν µ + ν e or muon decay i.e. µ − → e − + ν µ +ν e . Based on this similarity we propose that the Unruh-DeWitt detector response implies a "decay" or attenuation of gravitons, G, into photons,

This proceedings is based on a talk given at the APS DPF 2013 on an alternative 5-dimensional bra... more This proceedings is based on a talk given at the APS DPF 2013 on an alternative 5-dimensional brane world model which is related to but has some physically distinct features from the Randall-Sundrum brane world model. The spin dependent localization of 5D fields for the alternative model are different and in some ways superior to the original Randall- Sundrum Model. The alternative model also exhibits a cutoff in the lo-calization of massive scalar fields not seen in the Randall-Sundrum and includes a self consistent mass prediction of two possible scalar bosons. Setting the warping factor in the new model consistent with a 126 GeV localized scalar boson predicts the existence of a second scalar boson at 177 GeV. This second scalar boson could be localized or non localized depending on the type of warping factor.

The time independent Schoedinger equation for two electrons confined in a parabolic external pote... more The time independent Schoedinger equation for two electrons confined in a parabolic external potential is solved. Developing this solution in terms of a dimensionless variable it is demonstrated that parameterization of the strength of the confining potential separate from the effective mass assumption greatly clarifies the functional dependence of the system energy on the system parameters. The determination of the strength of the external confinement and validation of the effective mass assumption in real devices is greatly improved by characterizing the strength of the confining potential separate from the effective mass. Comment: 13 pages, pdf format

"August, 2002." Thesis (Ph. D.)--University of Nevada, Reno, 2002. Includes bibliograph... more "August, 2002." Thesis (Ph. D.)--University of Nevada, Reno, 2002. Includes bibliographical references (leaves 87-91).

The coordinate conditions for three exact solutions for the metric components of a coordinate sys... more The coordinate conditions for three exact solutions for the metric components of a coordinate system with constant acceleration or of a static plane symmetric gravitational field are presented. First, the coordinate condition that the acceleration of light is constant is applied to the field equations to derive the metric of a coordinate system of constant acceleration. Second, the coordinate conditions

Arxiv preprint physics/0502072, 2005

The dyadic calculus is developed in a form suitable for the description of physical relations in ... more The dyadic calculus is developed in a form suitable for the description of physical relations in curved space. The 4-space equations of hydrodynamics and electrodynamics are constructed using this dyadic calculus. As a demonstration of the relationship between gravity and electrodynamics a time varying metric is shown to generate electromagnetic radiation.

Physical Review D, 2013

We consider a five-dimensional brane world model with a single brane which is distinct from the w... more We consider a five-dimensional brane world model with a single brane which is distinct from the well known Randall-Sundrum model. We discuss the similarities and differences between our brane model and the Randall-Sundrum brane model. In particular we focus on the localization of five-dimensional fields with different spins-spin 0, spin 1=2, and spin 1-to the brane, and a self-consistent massgeneration mechanism. We find that the brane model studied here has different (and in some cases superior) localization properties for fields/particles with different spins to the brane, as compared to the original five-dimensional brane models. In addition this alternative five-dimensional brane model exhibits a self-generation mechanism which recalls the self-consistent approach of Nambu and Jona-Lasinio.

International Journal of Quantum Chemistry, 2008

Recent developments have made it possible to design and fabricate both electronic and mechanical ... more Recent developments have made it possible to design and fabricate both electronic and mechanical devices, with dimensions on the order of nanometers. These new devices are characterized by external confining potentials, restricting the system at this scale and by the practical ...

Foundations of Physics Letters, 2006

The gedanken experiment of the clock paradox is solved exactly using the general relativistic equ... more The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as the key observable parameter. This solution provides a formal demonstration of the identity between the special and general relativistic clock paradox with finite acceleration and where proper time is assumed to be the same in both formalisms. By solving the equations of motion for a freely falling clock in a static homogeneous field elapsed times are calculated for realistic journeys to the stars.

Arxiv preprint gr-qc/0606102, 2006

A time varying space-time metric is shown to be a source of electromagnetic radiation even in the... more A time varying space-time metric is shown to be a source of electromagnetic radiation even in the absence of charge sources. The post-Newtonian approximation is used as a realistic model of the connection between the space-time metric and a time varying gravitational potential. Rapid temporal variations in the metric from the coalescence of relativistic stars are shown to be likely progenitors of gamma ray burst and millisecond pulsars.

American Journal of Physics, 2008

Uniform fields are one of the simplest and most pedagogically useful examples in introductory cou... more Uniform fields are one of the simplest and most pedagogically useful examples in introductory courses on electrostatics or Newtonian gravity. In general relativity there have been several proposals as to what constitutes a uniform field. In this article we examine two metrics that can be considered the general relativistic version of the infinite plane with finite mass per unit area. The first metric is the 4D version of the 5D "brane" world models which are the starting point for many current research papers. The second case is the cosmological domain wall metric. We examine to what extent these different metrics match or deviate from our Newtonian intuition about the gravitational field of an infinite plane. These solutions provide the beginning student in general relativity both computational practice and conceptual insight into Einstein's field equations. In addition they do this by introducing the student to material that is at the forefront of current research.

American Journal of Physics, 2010

The relationship between uniformly accelerated reference frames in flat spacetime and the uniform... more The relationship between uniformly accelerated reference frames in flat spacetime and the uniform gravitational field is examined in a relativistic context. It is shown that, contrary to previous statements in the pages of this journal, equivalence does not break down in this context. No restrictions to Newtonian approximations or small enclosures are necessary.

Eprint Arxiv Physics 0502072, Feb 14, 2005

The dyadic calculus is developed in a form suitable for the description of physical relations in ... more The dyadic calculus is developed in a form suitable for the description of physical relations in curved space. The 4-space equations of hydrodynamics and electrodynamics are constructed using this dyadic calculus. As a demonstration of the relationship between gravity and electrodynamics a time varying metric is shown to generate electromagnetic radiation.

Found Phys Lett, 2006

The gedanken experiment of the clock paradox is solved exactly using the general relativistic equ... more The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as the key observable parameter. This solution provides a formal demonstration of the identity between the special and general relativistic clock paradox with finite acceleration and where proper time is assumed to be the same in both formalisms. By solving the equations of motion for a freely falling clock in a static homogeneous field elapsed times are calculated for realistic journeys to the stars.

In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to... more In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to a gravitational wave background. The spectrum of the Unruh-Dewitt detector is of the same form as some scattering processes or three body decays such as muon-electron scattering or muon decay. Based on this similarity we propose that the Unruh-DeWitt detector response implies a "decay" or attenuation of gravitons, GGG, into photons, gamma\gammagamma, via G+Grightarrowgamma+gammaG + G \rightarrow \gamma + \gamma G+Grightarrowgamma+gamma or Grightarrowgamma+gamma+GG \rightarrow \gamma + \gamma + GGrightarrowgamma+gamma+G. Over large distances such a decay/attenuation may have consequences in regard to the detection of gravitational waves.

Aps Meeting Abstracts, Mar 1, 2008

In general relativity there have been several proposals as to what constitutes a uniform field. W... more In general relativity there have been several proposals as to what constitutes a uniform field. We give the gravitational field due to an infinite plane with finite mass per unit area, and show that this is the closest general relativistic analog to the Newtonian uniform field. Although we work in 4D we show that the 5D generalization of this solution is the starting point for many current research papers in particle physics and cosmology dealing with infinite extra dimension theories known as brane world models. This physical picture of the brane world models as higher dimensional versions of the general relativistic plane allows one to understand many of the features of these models in simple terms.

Eprint Arxiv Physics 0409113, Sep 22, 2004

The coordinate conditions for three exact solutions for the metric components of a coordinate sys... more The coordinate conditions for three exact solutions for the metric components of a coordinate system with constant acceleration or of a static plane symmetric gravitational field are presented. First, the coordinate condition that the acceleration of light is constant is applied to the field equations to derive the metric of a coordinate system of constant acceleration. Second, the coordinate conditions required to produce the metrics of Rindler and Lass are applied to the field equations to calculate the components of these two metrics and the coordinate velocities and coordinate accelerations for light of these two metrics are compared to the coordinate system of constant acceleration.

International Journal of Modern Physics D, 2015

In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to... more In this essay we examine the response of an Unruh-DeWitt detector (a quantum two-level system) to a gravitational wave background. The spectrum of the Unruh-Dewitt detector is of the same form as some scattering processes or three body decays such as muon-electron scattering i.e. µ − + e − → ν µ + ν e or muon decay i.e. µ − → e − + ν µ +ν e . Based on this similarity we propose that the Unruh-DeWitt detector response implies a "decay" or attenuation of gravitons, G, into photons,

This proceedings is based on a talk given at the APS DPF 2013 on an alternative 5-dimensional bra... more This proceedings is based on a talk given at the APS DPF 2013 on an alternative 5-dimensional brane world model which is related to but has some physically distinct features from the Randall-Sundrum brane world model. The spin dependent localization of 5D fields for the alternative model are different and in some ways superior to the original Randall- Sundrum Model. The alternative model also exhibits a cutoff in the lo-calization of massive scalar fields not seen in the Randall-Sundrum and includes a self consistent mass prediction of two possible scalar bosons. Setting the warping factor in the new model consistent with a 126 GeV localized scalar boson predicts the existence of a second scalar boson at 177 GeV. This second scalar boson could be localized or non localized depending on the type of warping factor.

The time independent Schoedinger equation for two electrons confined in a parabolic external pote... more The time independent Schoedinger equation for two electrons confined in a parabolic external potential is solved. Developing this solution in terms of a dimensionless variable it is demonstrated that parameterization of the strength of the confining potential separate from the effective mass assumption greatly clarifies the functional dependence of the system energy on the system parameters. The determination of the strength of the external confinement and validation of the effective mass assumption in real devices is greatly improved by characterizing the strength of the confining potential separate from the effective mass. Comment: 13 pages, pdf format

"August, 2002." Thesis (Ph. D.)--University of Nevada, Reno, 2002. Includes bibliograph... more "August, 2002." Thesis (Ph. D.)--University of Nevada, Reno, 2002. Includes bibliographical references (leaves 87-91).

The coordinate conditions for three exact solutions for the metric components of a coordinate sys... more The coordinate conditions for three exact solutions for the metric components of a coordinate system with constant acceleration or of a static plane symmetric gravitational field are presented. First, the coordinate condition that the acceleration of light is constant is applied to the field equations to derive the metric of a coordinate system of constant acceleration. Second, the coordinate conditions

Arxiv preprint physics/0502072, 2005

The dyadic calculus is developed in a form suitable for the description of physical relations in ... more The dyadic calculus is developed in a form suitable for the description of physical relations in curved space. The 4-space equations of hydrodynamics and electrodynamics are constructed using this dyadic calculus. As a demonstration of the relationship between gravity and electrodynamics a time varying metric is shown to generate electromagnetic radiation.

Physical Review D, 2013

We consider a five-dimensional brane world model with a single brane which is distinct from the w... more We consider a five-dimensional brane world model with a single brane which is distinct from the well known Randall-Sundrum model. We discuss the similarities and differences between our brane model and the Randall-Sundrum brane model. In particular we focus on the localization of five-dimensional fields with different spins-spin 0, spin 1=2, and spin 1-to the brane, and a self-consistent massgeneration mechanism. We find that the brane model studied here has different (and in some cases superior) localization properties for fields/particles with different spins to the brane, as compared to the original five-dimensional brane models. In addition this alternative five-dimensional brane model exhibits a self-generation mechanism which recalls the self-consistent approach of Nambu and Jona-Lasinio.

International Journal of Quantum Chemistry, 2008

Recent developments have made it possible to design and fabricate both electronic and mechanical ... more Recent developments have made it possible to design and fabricate both electronic and mechanical devices, with dimensions on the order of nanometers. These new devices are characterized by external confining potentials, restricting the system at this scale and by the practical ...

Foundations of Physics Letters, 2006

The gedanken experiment of the clock paradox is solved exactly using the general relativistic equ... more The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are identical and in particular that they are identical for finite acceleration. Practical expressions are obtained for proper time and coordinate time by using the destination distance as the key observable parameter. This solution provides a formal demonstration of the identity between the special and general relativistic clock paradox with finite acceleration and where proper time is assumed to be the same in both formalisms. By solving the equations of motion for a freely falling clock in a static homogeneous field elapsed times are calculated for realistic journeys to the stars.

Arxiv preprint gr-qc/0606102, 2006

A time varying space-time metric is shown to be a source of electromagnetic radiation even in the... more A time varying space-time metric is shown to be a source of electromagnetic radiation even in the absence of charge sources. The post-Newtonian approximation is used as a realistic model of the connection between the space-time metric and a time varying gravitational potential. Rapid temporal variations in the metric from the coalescence of relativistic stars are shown to be likely progenitors of gamma ray burst and millisecond pulsars.

American Journal of Physics, 2008

Uniform fields are one of the simplest and most pedagogically useful examples in introductory cou... more Uniform fields are one of the simplest and most pedagogically useful examples in introductory courses on electrostatics or Newtonian gravity. In general relativity there have been several proposals as to what constitutes a uniform field. In this article we examine two metrics that can be considered the general relativistic version of the infinite plane with finite mass per unit area. The first metric is the 4D version of the 5D "brane" world models which are the starting point for many current research papers. The second case is the cosmological domain wall metric. We examine to what extent these different metrics match or deviate from our Newtonian intuition about the gravitational field of an infinite plane. These solutions provide the beginning student in general relativity both computational practice and conceptual insight into Einstein's field equations. In addition they do this by introducing the student to material that is at the forefront of current research.

American Journal of Physics, 2010

The relationship between uniformly accelerated reference frames in flat spacetime and the uniform... more The relationship between uniformly accelerated reference frames in flat spacetime and the uniform gravitational field is examined in a relativistic context. It is shown that, contrary to previous statements in the pages of this journal, equivalence does not break down in this context. No restrictions to Newtonian approximations or small enclosures are necessary.