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by Particle Wave Technologies Inc.

Foreword

Superconductivity induced gravitational communication was conceived with the premise of the property of infinite range. If a superconductor produces a signal yielding no resistance, it generates a magnetic field of infinite strength which would couple with the same device. The gravitational field is analogous to the electromagnetic field and has the property that the communication medium is empty space. These properties would make the technology the most powerful and efficient communication system yet to be conceived.

The basic concept of our theory is this. A superconductor in a cooled state has a current that is oscillating mass. This current goes in all directions at once and the frequency of this oscillating mass is the velocity of light. This rotation of this current produces a gravitational field when coupled with another superconductor, can be used as a communication signal. Running an external current to these superconductors causes the system to resonate.

The theory was derived by representing the superconductor as a two-dimensional hydrogen atom analogous to a current loop emitting a magnetic field. The gravitational signal was then constructed from the Einstein gravitational equivalent to the Maxwell equations over the current field caused by the superconductor. Deriving the communication in this way yields a theoretical object, which represents both the superconductor and the gravitational signal simultaneously.

This description was proven in terms of universal physical constants. The mass quanta of the theoretical object was derived by representing the communication in terms of quantum electrodynamics, and confirmed by applying quantum interference and measuring the phase difference of the interaction. Representing the communication in terms of unified field theory and applying the Feynmann calculus directed us in the development of this technology, specifically in terms of a gravitational network.

GRAVITATIONAL COMMUNICATON SYSTEMS
Volume One
Published by Instar Publishing Inc., 2009
www.InstarPublishing.com
Library and Archives Canada Cataloguing in Publication
ISBN 978-0-9813344-0-0
Authors: Jiri Joseph Petlan (and) Kenji Hewett
GCS Technology®

Email: Info@ParticleWave.Org

GRAVITATIONAL COMMUNICATION SYSTEMS

NOTES RELATING TO THE INDEX:

Chapter 3. Quantum Behavior of a Superconducting Magnet

This paper outlines the quantum theory describing the behavior of a crystal in its superconducting state. The Schrodinger equation for a two dimensional wave equation was solved in polar coordinates resulting in a exponential wave function and quantized energy states which was used to determine the magnetic field generated by the superconductor. This theory can be applied to quantify the behavior of a superconducting magnet with regards to its ability to trap gravitational radiation.

Chapter 4. Gravitational Interaction of Superconducting Magnets

The magnetic field of two interacting superconductors was described in terms of their potential wells. This field induces a theoretical current which can be described as electric field in the plane bisecting the superconductors. A gravitational field was expressed in terms of the electrical field and a frequency was subsequently derived describing the interaction of the superconductors. The induced current in the superconductors were expressed in terms of their magnetic field which superimposed on the field induced by the potential was expressed as a gravitational frequency. This frequency was equated to the resonant frequency to find a relationship for the distance between the superconductors and the frequency.

Chapter 5. Resonance of Superconductivity Induced Gravitational Radiation

General relativity was applied to describe the gravitational radiation emitted from the quantum superconductor explained in the first document. The property of the gravitational wave that we are chiefly concerned with is the resonant frequency when a coupling is formed between two superconductors. A resonance curve was derived explaining the behavior of the proposed gravitational communication device.

Chapter 6. Congruency of Quantum Mechanical and Gravitational Descriptions of Superconductivity

This paper is to show the compatibility of the descriptions of the gravitational behavior exhibited by a superconductor. This was done by comparing the resonance curves of the superconductivity generated gravitational waves derived separately through quantum mechanics and general relativity. These two theoretical descriptions are congruent when certain factual conditions are imposed.

Chapter 7. Microscopic Theory of Gravitational Communication

Through the application of the relativity derived gravitational analogue of Maxwell and London equations, the resonance properties of superconductivity induced gravitational waves were examined. Two important consequences of the application of this theory was that the resonance frequency is the speed of light, and the distance of propagation of the gravitational waves goes to infinity. The equations also predict quantum behavior and are consistent with the quantum description of superconductivity. Through the analysis of the previously derived wave function of the quantum superconductor, the resonance behavior of the gravitational wave was determined.

Chapter 8. Verification of Gravitational Communication through Particle Theory

This paper offers proof of relativistic quantum superconductor theory. In the previous document it was shown that the quantum superconductor can be microscopically represented by a Cooper pair consistent with BCS theory. The mass of a Cooper pair can by derived from the resonance curve of the gravitational signal between the two superconductors. The quantization of mass was subsequently derived and verified through experimental constants by applying quantum interference to the superconductor system. The mass of the Cooper pair was experimentally verified by applying the conservation of energy to the electron lattice interaction. The quantum superconductor was represented as a theoretical particle in which the wave function was derived. Quantum electrodynamics, electroweak theory and chomodynamics were applied to verify the crucial condition of the communication theory.

Chapter 9. Electromagnetic Transmission of Superconductors

This paper proposes an experiment to test the quantum theory of a superconductor outlined in the previous document. In a supercooled state, a superconductor has a potential well that could be described by a virtual current loop emitting a magnetic field. Two identical superconductors emitting magnetic fields can form a coupling which can be used to transmit and receive signals. To test this hypothesis, an electromagnetic pulse is applied to a superconductor and a receiving signal is measured from a super-conductor placed a distance apart.

Chapter 10. Feynmann Calculus to Quantum Superconductor and Directions of Development

Through the application of Feynmann rules using the quantum electrodynamics framework to one constituent mass unit of the quantum superconductor, it can be shown that a superconductor can be represented as any particle on the subatomic and atomic scale. Chemical bonding is therefore analogous to the exchange of a virtual particle on the fundamental scale, which has been used to represent the communication technology. The gravitational communication theory can be applied towards the development of a specific superconductor appropriate for the implementation of this technology.

Chapter 11. Atomic Theory of Superconductivity

The quantum superconductor is represented as a hydrogen in three dimensions. After applying the conditions specific to our theory, the hydrogen represents a constituent element of a lattice such that the proton is the same particle as the electron which can be represented as the hydrogen. Furthermore, the density of states for any particle was derived using the variation principle and it was shown that the hydrogen wave functions under the conditions of our theory represent any element on the periodic table or any molecule composed of these elements. It was also shown that one constituent element of the lattice can represent a system of constituent elements.

Chapter 12. Resonance Behavior of Constituent Atomic Quantum Objects

The bonding properties of the quantum superconducting object was examined by solving the Schrodinger equation of the diatomical hydrogen molecule. The covalent bond between the two hydrogens represents the chemical bond between the superconductor constituent molecules as well as the gravitational exchange between to two superconducting objects. It was shown that a constituent quantum object can be viewed at a quantum bit with eight components. The wave equation taking into account the moments of inertia of a polyatomic molecule were solved with regards to theoscillatory and vibrational motion of the object. The ground state energies of these wave functions were equated specific to our theory that one lattice element of the superconductor also represents one superconductor alone.

Chapter 13. Modeling of Transmission Experiment Through Quantum Computing

The molecular structure of the superconductor was accounted for and expressed in terms of quantum bits representing a constituent space within the lattice. One quantum bit was represented as a two body problem representing two interacting superconductors. These two representations were equated to give a detailed description of the experiment. An experimental setup was recommended which resembles a constituent of the lattice. It was shown through the quantum treatment of the YBaCuO superconductor that the n-body problem of superconductors applies to four dimensional spacetime.

Chapter 14. Analysis of Diatomical Praeseodymium as a Two Body Problem

The covalent bond between two superconductor represented as Praseodymium atoms was reconstructed from the element’s atomic orbitals. Through the analysis of this bond describing the gravitational interaction, we are reminded that the gravitational force is analogous to the electroweak force and has a gravitoweak component. By comparing this to the two body qbit representation, we find an uncertainty in the size quantization of the superconductor, which when representing the bond as a particle trapped in an infinite potential well, discover that the constituent bodies of the superconducting network can exist at all angles and length relative to each other.

Chapter 15. Dielectric as a Source and Receiver for Gravitational Communication

The gravitational wave of a quantum object modeling a superconductor represented by a dielectric was derived taking into account the possibility of electrical resistance. In theoretical critical state, the dielectric represented the superconductor when the dielectric constant was the permittivity of free space. Considering transmission based on a resisted induced current, we find dielectric values are possible and derived from the equivalency of the eigenstates.

Chapter 16. Gravitational Transmission of Superconductors

This paper proposes an experiment to test the gravitational communication theory. In this theory the superconductor is viewed as a quantum object which is equivalent to its constituent elements. More specifically, the superconductor in its supercooled state exhibits the properties of a two dimensional hydrogen atom with a current revolving around the center. This experiment will show that a signal can be transmitted through a gravitational medium, and that the gravitationally communication network of superconductors behaves as described in the theory.

Chapter 17. Gravitational Transmission: n-bodies as Separate Inertial Frames

The transmission experimental setup was considered using Snell’s law of refraction where the gravity wave exists at ninety degree intervals between two equivalent medium and verified with values derived from universal constants. When viewing the gravity wave from different inertial frames, a receiving signal path exists around the center in both angular directions. This is confirmed using Lorentz velocity transformations and is consistent with the atomic description of the experiment, where the setup can be described as a hydrogen or a diatomical molecule.

Chapter 18. Gravitational Transmission: Critical Field Anisotropy Consideration

Anisotropy theory is derived off of solving a probability integral representing the GL free energy of a cubic superconductor. An expression for the anisotropic critical field consists of linear combinations of the angular momentum components. Analysis of the quantizations resulting from comparing the coefficients of the orthogonal terms yields a description of the two dimensional gravitational transmission experiment. This description is consistent with the relativistic description of the hydrogen-like transmission behavior of the experiment.

Chapter 19. Gravitational Transmission: Conservation of Energy and Momentum

A superconductor receiving a gravitational signal was considered in the context of an relativistic elastic collision applying fundamental symmetry conditions. The system can be represented as a Kmeson interaction where CP symmetry is conserved verifying the gravitational nature of the signal. An inelastic situation was considered where the system represented the Cooper pair of electrons exchanging heat energy with the lattice environment of the superconductor. Understanding the equivalency of gravitational signals and the source and receiving superconductors, the experimental system was analyzed using Lorentz four vectors and shown to be a quantum representation of the universe.

Chapter 20. Justification of Fundamental Force Representation of Gravitational Transmission

The relativistic transformations for the Maxwellian fields were applied resulting in the equivalency of the dimensions of space. It was shown that a communication network can be reduced to a two body problem and communication occurs only when a distance between the source and receiver is defined. The vector potential representing the gravitational transmission was compared and verified with the gravitational exchange of elementary particle theory which validated the gravitationalcommunication theory in terms of universal constants. It was shown that the gravitational signal can be expressed in terms of a field meaning the quantum object can be represented by a celestial body and the gravitational transmission can be expressed in terms of the behavior of the propagation medium. This description is the currently accepted theory of gravitational behavior.

Chapter 21. Gravitational Signal as Relativistic Conformal Curvature Tensor

The conformal curvature tensor was represented as a function of four two dimensional spinors each representing a component of spacetime. The Petrov classification of this Weyl tensor was applied yielding our four vector wave function of the gravity signal. Examining the electric and magnetic components of this tensor in flat spacetime, we obtain a four vector which remains unchanged in all frames indicating a propagation velocity of c.

Chapter 22. The Propagation of Quantum Gravitational Waves in Flat Spacetime

The geodesic equation for a gravitational wave was solved in flat spacetime yielding a relationship consistent with our proposed experimental setup. Moreover, solving for the geodesic deviation leads to the understanding that the world line defines the coordinate axes. The energy density, energy flux and momentum flux were derived for our gravitational wave giving insight into the nature of our gravitational network and the understanding that the celestial representation of our quantum system is justified by universal constants.

Chapter 23. Field Theoretical Approach to Gravitational Communication

Using the gravitational field analogous to the electromagnetic field, we derive the four momentum representing the quantum gravitational signal. From the classical field derivation, we compute the angular momentum of a point mass representing our quantum object and gain the insight that our unidirectional field can be considered as a repulsion, also allowable within our theoretical bounds.

Chapter 24. Resonant Frequency Tuning Via Dielectric Potential Variation

This paper proposes a second experiment designed to test the concept of dielectric switching in a gravitational medium. The same experimental setup is proposed such that the superconductors are insulated with dielectric material and rigged with identical varying potentials. The potentials vary the resonant frequency and the detectors receive different channels characterized by the current in the transmitting superconductor.

Chapter 25. Field Theory Representations of n-body Gravitational Transmission

The propagator for the graviton was used to derive the fundamental n-body experimental setup. A weak field source and the mass quadrupole expansion were considered to form an atomic description of the experiment with a gravitational potential. Applying the quadrupole expansion to the n-body experimental system of point masses yields a lattice representation. These two representations are separate descriptions for the fundamental situation and represent any network of gravitationally interacting superconductors. Systemic multipole expansion demonstrated consistency of these representations with our atomic model of superconductivity.

26. Celestial Representations of the Gravitationally Interacting Quantum Objects

Analysis of the compact binary system provides insight into the nature of gravitational channel selecting in regards to the field theory representations derived in the last document. The frequency spectrum of a closed binary system yields the Balmer series emission spectrum of the hydrogen atom and each point on a lattice represents a channel in the gravitational signal. This indicates that spectroscopic considerations should be made when researching channel selecting. By studying the eccentricity, we find that an open orbital represents a lattice composed of an infinite set of bodies, theoretically equivalent to a closed circular atomic orbital. Treating the celestial object as a rigid rotating body yields a superconductivity description of the object in which it rotates in all directions simultaneously. Treating the celestial body as a black hole demonstrates the equivalency of the two descriptions of the gravitational network and directs our research towards relativistic quantum chemistry and quantum field theory on a lattice.

Chapter 27. The Span of Gravitational Communication

The span of superconductivity induced gravitational wave was shown to span the universe. The behavior of the resonance amplitude was studied yielding a value and shown to be equivalent to the propagation distance. This value was matched to the theoretical length of the unhindered universe derived from the distance of the big bang singularity.

Chapter 28. Quantization Analysis of Curved Spacetime Metric Expansion

The expanded Lagrangian in curved spacetime was derived and used to show that a two body problem can be represented as a singularity. Analysis of the expressions derived for the energy and other key parameters of the curved spacetime metric expansion reveal insight into the atomic and lattice representations of the gravitational network. The communication singularity is best represented as a deuterium with a gravitational potential.

Chapter 29. Gravitational Lattice Representation: Celestial Analysis of Three Body Problem

The three body problem was considered in the celestial mechanics framework. This is significant because our fundamental representation of our gravitational transmission network can be extended to a three by three lattice representation. We have established that the lattice representation is equivalent to the atomic definition, and the this treatment clarifies the theoretical nature of the interacting constituents.

Chapter 30. Gravitational Communication Channeling Theory

A channeling theory was derived using the atomic and lattice representations of the gravitational network. First, the Dirac coupled equations were and shown to be consistent with our gravitational system. Subsequently, the Dirac-Hartee-Fock perturbative method for a many electron system was considered in the development of a channelling procedure for an n-body network of atomic transmitters. An equation for a spin 2 gravitational particle resembling the Klein-Gordon equation was solved and shown to be our gravitational signal. Considering this object in a gravitational potential yields our gravitational network. Using our network as a representation of our channelling system we establish that the channels derived off of the atomic transitional states of our transmitters carry no uncertainty.

Chapter 31. Gravitational Network Channeling Based on the Atomic Model

It was shown that the spin 2 graviton is consistent with the relativistic Dirac framework for spin one half particle. This framework was analyzed within the context of our gravitational signal by comparing the wave functions and energy spectrums of charged and uncharged particles in electric and magnetic potentials. Just as the Boltzmann uncertainty characterized the communication, it was shown that the Lamb shift characterizes the channelling. By considering the hydrogen atom, a channelling system based on the Lamb shift was derived where spherical harmonics describe channelling through points in the network, and radial hydrogenlike functions describe channelling through the signal.

Chapter 32. Network Channel Selection: Sending and Receiving

The channel selecting and signal transmission mechanism was derived using the atomic channelling model for the gravitational network. By considering the relativistic effects of particles in a potential, we developed a further understanding of channelling specifically channel creation through hyperfine splitting of the potential and channelling range. By analyzing the cross sections of the gravitational interaction, a channel specifying method was derived. By considering the angular momentum eigenstates of the gravitational signal, a channelling switch was derived which specifies sending and receiving. The switch is specific to our technology because it depends on charge parity distinction and quantum reduction. By analyzing the gravitational signal wave functions, the channel selection was related to the channelling switch.

Chapter 33. Network Transmission Through a Superfluid Vacuum

By considering the cross sections of relativistic collisions, we determine that the signal channels are specified in metric units of hertz. The Born-Oppenheimer approximation related the gravitational waveform with the quantum transmitter. By quantization of the gravitational field, the description of channel opening was obtained. By second quantization of the spin 2 field we derive our quantum superconductor as a vector boson of gravitoweak interaction. Through the method of equivalent potentials we analyze the scattering amplitudes of the two and three body interactions thereby equating the channelling switch to our network. By considering our network as a positronium, we derive a superfluid description of our network composed of channelling switches. By considering the Yukawa potential we see that point to point transmission in the network is instantaneous. By analyzing the decays of positronium and quarkonium, we see that the channelling switch mechanism was derived of off the experimentally proven situation of a baryon composed of three quarks.

34. Conclusion and Patent: Jiri Joseph Petlan, Inventor

After deriving the technology, parallel descriptions of the theoretical object were derived. Through an application of quantum mechanics and quantum information theory, the superconductor represented by a hydrogen atom is also represented by its own lattice constituent, as well as representing the gravitational network. The gravitational signal is represented by a four-vector coordinate system. An experimental setup was derived which we will study in the laboratory. This design consists of a superconductor with four other superconductors spaced apart at right angles and equal distances representing our theoretical object. By applying theoretical considerations of gravitational waves, two models of the fundamental network representations were established. The atomic model represents the gravitational network as a theoretical infinite atom, which reduces to the hydrogen. Similarly, the lattice model also represents the network. This increasing level of complexity applied to our theory, enables us to develop the technology, specifically in the direction of network channeling. The point we are at now is within the scope of the atomic model where the hydrogen representation describes channeling in terms of the Lamb shift. The Lamb shift is the mechanism of channel selection and switching. The communication theory is developing in the directions of chemistry, quantum field lattices, and singularity theory.