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Gerald B. Cleaver

Publications and source records attributed to Gerald B. Cleaver.

At least 19 recordsLinked to original sources
arXiv2026

Coupled-Channel Spectral Theory for a Non-Separable Rotating Geometry: Normal Modes and Two-Boundary Response in the Rotating AdS-Teo Wormhole

We investigate scalar perturbations of a rotating asymptotically anti-de Sitter (AdS)Teo traversable wormhole with a controlled nonseparable angular deformation. The geometry retains a regular wormhole throat and the required AdS asymptotics, while explicit quadrupolar deformation generates angular-channel coupling in the intermediate region. A sufficient condition is derived for an ergoregion free parameter regime in which the spectral analysis is performed. Projecting the geometry derived Klein Gordon equation onto spherical harmonics yields a matrix valued Sturm Liouville system and an associated quadratic operator pencil. Throat regularity together with normalizable AdS boundary conditions leads to a determinant quantization condition for the discrete normal mode spectrum. Two, four, and six channel calculations demonstrate systematic numerical convergence of the retained low lying normal mode frequencies under enlargement of the angular basis. The complete finite generalized eigenspectrum is also examined without imposing a near reality selection criterion, and no growing scalar mode is found within the ergoregion free parameter range and numerical resolutions studied. The six channel rotation continuation exhibits a finite interior level repulsion feature accompanied by collective redistribution of the multichannel eigenvectors. The same coupled spectral framework formally defines a matrix valued two boundary response whose poles are selected by the normal-mode matching condition, the response plots presented here illustrate this structure using the reduced two channel effective model rather than a numerical reconstruction of the full six channel response.

gr-qc↗
arXiv2025

Water Management Considerations for a Self-Sustaining Moonbase

The most pragmatic first step in the all-but-inevitable 3rd-millennium Völkerwanderung of humanity throughout the Solar System is the establishment of a permanent human presence on the Moon. This research examines: 1. the human, agricultural, and technical water needs of a 100-person, 500 m x 100 m x 6 m self-sustaining lunar colony; 2. choosing a strategic location for the moonbase; 3. a heat drill model by which the needed lunar water ice could be sublimated; and 4. the robust water treatment and recovery infrastructure and water management personnel that would be needed for a self-sustaining moonbase.

physics.soc-ph↗
arXiv2023

On the Lorentz Boosted Parallel Plate Casimir Cavity

Two perfectly conducting, infinite parallel plates will restrict the electromagnetic vacuum, producing an attractive force. This phenomenon is known as the Casimir effect. Here we use electromagnetic field correlators to define the local interaction between the plates and the vacuum, which gives rise to a renormalized stress-energy tensor. We then show that a Lorentz boost of the underlying electric and magnetic fields that comprise the correlators will produce the correct stress-energy tensor in the boosted frame. The infinite surface divergences of the field correlators will transform appropriately, such that they cancel out in the boosted frame and produce the desired finite result.

quant-ph↗
arXiv2023

Interference phenomena in the asymmetric dynamical Casimir effect for a single $δ-δ^{\prime}$ mirror

The interaction between the quantum vacuum and time-dependent boundaries can produce particles via the dynamical Casimir effect. It is known that, for asymmetric Casimir systems, there is an imbalance in the particle production on either side of the boundary. Here, we consider a real massless scalar field in 1+1 dimensions interacting with a moving $δ-δ^{\prime}$ mirror with time-dependent properties. The spectral distribution and particle creation rate are computed, which now include an additional interference term that can affect different parts of the spectrum in a constructive or destructive manner. The asymmetry of the system is investigated by analyzing the difference in particle spectra produced on the two sides of the mirror. Additionally, we also explore enhancement of the spectrum and its asymmetry within the context of a stationary $δ-δ^{\prime}$ mirror subject to multiple fluctuation sources.

quant-ph↗
arXiv2022

The Real Number n-Degree Pythagorean Theorem

This paper extends the Pythagorean Theorem to positive and negative real exponents to take the form a^n + b^n = c^n and makes use of the definition gamma = b/a >= 1. For the case of n in the set of positive real numbers, n greater than or equal to 1 is necessary for the vertex angle to be real, and there are no restrictions on gamma beyond its definition. However, for n in the set of negative reals, two significant restrictions that are necessary for a^n + b^n = c^n to yield real vertex angles have been discovered by this work: 1 <= gamma < 2, and n cannot exceed a critical value which is gamma-dependent. Additionally, the areas of the associated triangles have been determined as well as the conditions for those areas to be maxima or minima.

math.GM↗
arXiv2017

Doppler Shifted Unruh Radiation: The Non-Relativistic Spectrum

In this note, the non-relativistic Doppler spectrum of the Unruh radiation from an accelerating mass is determined. Additionally, the scattering of thermal bath photons off an accelerating electron in an electromagnetic field, as seen by a non-laboratory frame inertial observer, is examined.

physics.gen-ph↗
arXiv2016

Matter-Antimatter Propulsion via QFT Effects from Parallel Electric and Magnetic Fields

Matter/antimatter (MAM) pair production from the vacuum through intense electric fields has been investigated theoretically for nearly a century. This history is reviewed and proposals of MAM for intra-solar system and interstellar propulsion systems are examined. The quantum mechanical foundation of MAM production was developed by MAM production occurs when the electric field strength is above the critical value at which the fields become non-linear with self-interactions (known as the Schwinger limit).MAM production occurs when the electric field strength is above the critical value at which the fields become non-linear with self-interactions (known as the Schwinger limit). As the energy density of lasers approach the critical strength of 10^16 V/cm, the feasibility and functionality of electron-positron pair production has received growing interest. Current laser intensities are approaching within 1 order of magnitude of the Schwinger limit. Processes for lowering the critical energy density below the Schwinger limit through additional quantum mechanical effects have been explored. One under study at the U. of Connecticut and the U. of Duisburg-Essen is pulsation of inhomogeneous electric fields within a carrier wave. Another is via enhancement of quantum effects by addition of a magnetic field parallel to the electric field. Magnetic field enhancement to quark/anti-quark production through chiral symmetry breaking effects in QCD was considered by J. Preskill in the 1980's. S. Pyo and D. Page showed in 2007 that parallel magnetic fields enhance electron/positron production via an analogous QED effect. MAM production as a highly efficient fuel source for intra solar system and interstellar propulsion was proposed by D. Crow in 1983. The viability of this method of propulsion will be studied, especially from the parallel electric and magnetic field approach.

physics.gen-ph↗
arXiv2016

White Holes as the Asymptotic Limit of Evaporating Primordial Black Holes

This paper examines the interaction of an intense fermion field with all of the particle species of an attometer primordial black hole's (PBH)'s high energy Hawking radiation spectrum. By extrapolating to Planck-sized PBH's, it is shown that, although Planck-sized PBH's closely simulate the zero absorption requirement of white holes, the absorption probability is not truly zero, and therefore, thermodynamically, Planck-sized PBH's are not true white holes.

physics.gen-ph↗
arXiv2015

The Cosmic Microwave Background Radiation Power Spectrum as a Random Bit Generator for Symmetric and Asymmetric-Key Cryptography

In this note, the Cosmic Microwave Background (CMB) Radiation is shown to be capable of functioning as a Random Bit Generator, and constitutes an effectively infinite supply of truly random one-time pad values of arbitrary length. It is further argued that the CMB power spectrum potentially conforms to the FIPS 140-2 standard. Additionally, its applicability to the generation of a (n x n) random key matrix for a Vernam cipher is established.

cs.CR↗
arXiv2015

Black Sun: Ocular Invisibility of Relativistic Luminous Astrophysical Bodies

The relativistic Doppler shifting of visible electromagnetic radiation to beyond the human ocular range reduces the incident radiance of the source. Consequently, luminous astrophysical bodies (LABs) can be rendered invisible with sufficient relativistic motion. This paper determines the proper distance as a function of relativistic velocity at which a luminous object attains ocular invisibility.

physics.gen-ph↗
arXiv2015

Relativistic Drag and Emission Radiation Pressures in an Isotropic Photonic Gas

By invoking the relativistic spectral radiance, as derived by Lee and Cleaver [1], the drag radiation pressure of a relativistic planar surface moving through an isotropic radiation field, with which it is in thermal equilibrium, is determined in inertial and non-inertial frames. The forward- and rearward-directed emission radiation pressures are also derived and compared. A fleeting (inertial frames) or ongoing (some non-inertial frames) Carnot cycle is shown to exist as a result of an intra-surfaces temperature gradient. The drag radiation pressure on an object with an arbitrary frontal geometry is also described.

gr-qc↗
arXiv2009

A Simple Introduction to Particle Physics Part II

This is the second in a series of papers intended to provide a basic overview of some of the major ideas in particle physics. Part I [arXiv:0810.3328] was primarily an algebraic exposition of gauge theories. We developed the group theoretic tools needed to understand the basic construction of gauge theory, as well as the physical concepts and tools to understand the structure of the Standard Model of Particle Physics as a gauge theory. In this paper (and the paper to follow), we continue our emphasis on gauge theories, but we do so with a more geometrical approach. We will conclude this paper with a brief discussion of general relativity, and save more advanced topics (including fibre bundles, characteristic classes, etc.) for the next paper in the series. We wish to reiterate that these notes are not intended to be a comprehensive introduction to any of the ideas contained in them. Their purpose is to introduce the "forest" rather than the "trees". The primary emphasis is on the algebraic/geometric/mathematical underpinnings rather than the calculational/phenomenological details. The topics were chosen according to the authors' preferences and agenda. These notes are intended for a student who has completed the standard undergraduate physics and mathematics courses, as well as the material contained in the first paper in this series. Having studied the material in the "Further Reading" sections of would be ideal, but the material in this series of papers is intended to be self-contained, and familiarity with the first paper will suffice.

hep-th↗
arXiv2008

Grover's Quantum Search Algorithm and Free Fermionic Heterotic Models

Given an efficient and systematic method for generating input sets for free fermionic heterotic model building we consider what the realistic bounds are for a statistical analysis of the free fermionic Landscape with a classical computer. We then consider what kind of improvement could be expected on a quantum computer. We do outline the basic structure of the relevant quantum algorithms, but we do not detail the construction of the oracle which would be involved in the calculations.

hep-ph↗
arXiv2008

A Non-Standard String Embedding of E8

An algorithm to systematically and efficiently generate free fermionic heterotic string models was recently introduced. This algorithm has been adopted by the Free Fermionic Model Construction (FFMC) program at Baylor University. As its first application, the algorithm is being applied to systematically generate the complete set of free fermionic heterotic string models with untwisted left-moving (worldsheet supersymmetric) sectors, up to continually advancing Layer and Order. Statistical analysis of this study will be reported in the near future. However, in a series of separate notes we will be reporting some of the more interesting models that appear along the way. In this, our first such note, we reveal a different string embedding of E8 than is standard. That is, rather than realize E8 via an SO(16) embedding, 248 = 120 + 128, we realize it via an SU(9) embedding, 248 = 80 + 84 + 84-bar. This is obtained in a Layer 1, Order 6 model for which modular invariance itself dictates a gravitino sector accompany the gauge sector.

hep-ph↗
arXiv2008

Quasi-realistic heterotic-string models with vanishing one-loop cosmological constant and perturbatively broken supersymmetry?

Quasi-realistic string models in the free fermionic formulation typically contain an anomalous U(1), which gives rise to a Fayet-Iliopoulos D-term that breaks supersymmetry at the one--loop level in string perturbation theory. Supersymmetry is traditionally restored by imposing F- and D-flatness on the vacuum. By employing the standard analysis of flat directions we present a quasi--realistic three generation string model in which stringent F- and D-flat solution do not appear to exist to all orders in the superpotential. We speculate that this result is indicative of the non-existence of supersymmetric flat F- and D-solutions in this model. We provide some arguments in support of this scenario and discuss its potential implications. Bose-Fermi degeneracy of the string spectrum implies that the one--loop partition function and hence the one-loop cosmological constant vanishes in the model. If our assertion is correct, this model may represent the first known example with vanishing cosmological constant and perturbatively broken supersymmetry. We discuss the distinctive properties of the internal free fermion boundary conditions that may correspond to a large set of models that share these properties. The geometrical moduli in this class of models are fixed due to asymmetric boundary conditions, whereas absence of supersymmetric flat directions would imply that the supersymmetric moduli are fixed as well and the dilaton may be fixed by hidden sector nonperturbative effects.

hep-th↗
arXiv2008

A Note on a Standard Embedding on Half-Flat Manifolds

It is argued that the ten dimensional solution that corresponds to the compactification of $E_8 \times E_8$ heterotic string theory on a half-flat manifold is the product space-time $R^{1,2} \times Z_7$ where $Z_7$ is a generalized cylinder with $G_2$ riemannian holonomy. Standard embedding on $Z_7$ then implies an embedding on the half-flat manifold which involves the torsionful connection rather than the Levi-Civita connection. This leads to the breakdown of $E_8 \times E_8$ to $E_6 \times E_8$, as in the case of the standard embedding on Calabi-Yau manifolds, which agrees with the result derived recently by Gurrieri, Lukas and Micu (arXiv:0709.1932) using a different approach. Green-Schwarz anomaly cancellation is then implemented via the torsionful connection on half-flat manifolds.

hep-th↗
arXiv2007

In Search of the (Minimal Supersymmetric) Standard Model String

This paper summarizes several developments in string-derived (Minimal Supersymmetric) Standard Models. Part one reviews the first string model containing solely the three generations of the Minimal Supersymmetric Standard Model and a single pair of Higgs as the matter in the observable sector of the low energy effective field theory. This model was constructed by Cleaver, Faraggi, and Nanopoulos in the Z_2 x Z_2 free fermionic formulation of weak coupled heterotic strings. Part two examines a representative collection of string/brane-derived MSSMs that followed. These additional models were obtained from various construction methods, including weak coupled Z_6 heterotic orbifolds, strong coupled heterotic on elliptically fibered Calabi-Yau's, Type IIB orientifolds with magnetic charged branes, and Type IIA orientifolds with intersecting branes (duals of the Type IIB). Phenomenology of the models is compared. To appear in String Theory Research Progress, Ferenc N. Balogh, editor., (ISBN 978-1-60456-075-6), Nova Science Publishers, Inc.}

hep-ph↗