### -- l I• EQUATIONS OF MOTION OF THE NEW GENERAL RELATIVITY by

"... www.atomicprecision.com) Using the method of constraining the Minkowski metric with an observed orbit, the equation of motion of a new theory of general relativity is derived self consistently in two different ways. The observed orbit is shown to reduce the dimensionality of the metric as defined in ..."

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www.atomicprecision.com) Using the method of constraining the Minkowski metric with an observed orbit, the equation of motion of a new theory of general relativity is derived self consistently in two different ways. The observed orbit is shown to reduce the dimensionality of the metric as defined in general, thus simplifying the derivation of the equation of motion. The equation of the new general relativity is self consistent, while the Newtonian dynamics are not self consistent and the inverse square law is not unique. It is shown that the incorrectly named Schwarzschild metric does not reduce to Newtonian dynamics self consistently.

### -I ~ GENERAL ECE THEORY OF ALL COSMOLOGY FROM BASIC KINEMATICS: EXPLANATION OF THE VELOCITY CURVE OF A WHIRLPOOL GALAXY.

"... www.upitec.org) A general ECE theory of all cosmology is developed straightforwardly from the fundamentals of planar kinematics, first for the velocity, then the acceleration. The kinematics become ECE theory by realizing that the angular velocity is a Cartan spin connection, an inference that also ..."

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www.upitec.org) A general ECE theory of all cosmology is developed straightforwardly from the fundamentals of planar kinematics, first for the velocity, then the acceleration. The kinematics become ECE theory by realizing that the angular velocity is a Cartan spin connection, an inference that also makes the theory fully relativistic and generally covariant. It is shown that the planar kinematics of velocity imply that the orbit of stars in a whirlpool galaxy is a hyperbolic spiral if, inter alia, their velocity becomes a constant at infinite r. The analysis of planar acceleration results in a force equation more general than that of Newton or Einstein, one which is rigorously consistent with Lagrangian dynamics, and one which is generally covariant.

### Chapter 9 Potential Anti-Symmetry Equations of Electromagnetic and Gravitational Theory

"... By use of commutator theory it is shown that there exist fundamental and novel potential anti-symmetry equations in the theory of electromagnetism and grav-itation. These change profoundly the way in which the field is related to scalar and vector potentials in the theory of electromagnetism and gra ..."

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By use of commutator theory it is shown that there exist fundamental and novel potential anti-symmetry equations in the theory of electromagnetism and grav-itation. These change profoundly the way in which the field is related to scalar and vector potentials in the theory of electromagnetism and gravitation. The antisymmetry of the Riemannian connection was inferred in paper 122 of this series, and the methods used in that paper are developed here. It is not known why these straightforward antisymmetries have not been realized before, they mean that a scalar potential in electromagnetism or gravitation cannot be con-sidered in isolation of a vector potential and vice versa. These subject areas must therefore be revised fundamentally. The new equations lead to a simplifi-cation and strengthening of the ECE engineering model.

### an d H. Eckardt,

"... It i sh pr cessing increased. responsible for plane cal ulation is c pl r s • cl lC limit 0. ECE th ory.--I fr-, In recent papers of this series the precession of planetary orbits has been explained in terms of a new universal law of gravitation in the classical limit ofECE theory and without Einste ..."

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It i sh pr cessing increased. responsible for plane cal ulation is c pl r s • cl lC limit 0. ECE th ory.--I fr-, In recent papers of this series the precession of planetary orbits has been explained in terms of a new universal law of gravitation in the classical limit ofECE theory and without Einsteinian general relativity (EGR) { 1- 10}, In this paper the new universal law of gravitation is used to generalize Kepler's third law of planetary motion, inferred in 1619,

### DETERMINATION OF THE PHOTON MASS FROM COMPTON SCATTERING. by

"... www.et3m.net) Considerations of Compton scattering lead to a photon mass of the order of the electron mass. It is shown that a photon mass of this order travels at c for all practical purposes, and is consistent with the photoelectric effect. It is shown that the classical relativistic theory of par ..."

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www.et3m.net) Considerations of Compton scattering lead to a photon mass of the order of the electron mass. It is shown that a photon mass of this order travels at c for all practical purposes, and is consistent with the photoelectric effect. It is shown that the classical relativistic theory of particle scattering violates conservation of energy at the most fundamental level, so violates conservation of energy at the quantum electrodynamical level. A new interpretation of mass is suggested in terms of the R parameter of the ECE wave equation, and the Proca equation derived directly from the tetrad postulate.

### Metric-based ECE theory of electrodynamics

"... The metric of ECE theory is incorporated into the theory of electrodynamics and gravitation through the field equations. The electric displacement D and magnetic field strength H are related to the electric field strength E and magnetic flux density B through metric elements. It is shown that the me ..."

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The metric of ECE theory is incorporated into the theory of electrodynamics and gravitation through the field equations. The electric displacement D and magnetic field strength H are related to the electric field strength E and magnetic flux density B through metric elements. It is shown that the metric elements appear in the denominator of the driving term of the spin connection resonance equation. The electric displacement and polarization in a dielectric are shown to be determined by the metric, and similarly the magnetic field strength and magnetization. The equations for gravitation are similarly structured so the way in which gravitation and electromagnetism interact is determined by the metric, which is defined by the tetrads. The fundamental geometry is developed and the geometrical connection shown to be antisymmetric.

### Chapter 4 Orbital Dynamics in Terms of Spacetime Angular Momentum

"... Planar orbital theory is developed from the concept of the conserved angular momentum of spacetime in generally covariant Einstein Cartan Evans (ECE) Theory. It is shown that spacetime angular momentum is sufficient to describe all known planar orbits without using the non-relativistic Newtonian con ..."

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Planar orbital theory is developed from the concept of the conserved angular momentum of spacetime in generally covariant Einstein Cartan Evans (ECE) Theory. It is shown that spacetime angular momentum is sufficient to describe all known planar orbits without using the non-relativistic Newtonian concept of attraction between two massive objects. The theory is applied to the dy-namics of galaxies. Different types of planar orbits observed in galaxies can be described by the same conserved spacetime angular momentum. Example given are the relativistic Keplerian and logarithmic spiral orbits of a whirlpool galaxy. Spacetime angular momentum is defined by a volume integration over spacetime torsion and is a concept unique to ECE theory.

### Proof of the Cartan Evans Identity by

"... The Cartan Evans identity is a new identity of differential geometry, and is the basis for the inhomogeneous field equation of Einstein Cartan Evans (ECE) theory. It is shown that it is a rigorous, self-checking, identity of differential geometry in the Riemannian manifold, and complete details of t ..."

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The Cartan Evans identity is a new identity of differential geometry, and is the basis for the inhomogeneous field equation of Einstein Cartan Evans (ECE) theory. It is shown that it is a rigorous, self-checking, identity of differential geometry in the Riemannian manifold, and complete details of the proof are given for ease of reference.

### ANIMATION OF PRECESSIONS DUE TO THE MINKOWSKI FORCE EQUATION. by

"... The Minkowski equation is used to show that an initially Newtonian orbit develops a precession due to the Lorentz factor. The precession can be evaluated analytically in the limit of nearly circular orbits, and a solution found for the polar angle as a function of time. An expression for precession ..."

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The Minkowski equation is used to show that an initially Newtonian orbit develops a precession due to the Lorentz factor. The precession can be evaluated analytically in the limit of nearly circular orbits, and a solution found for the polar angle as a function of time. An expression for precession may also be derived by considering the relativistic angular momentum, and put in a format suitable for animation. The search for new explanations of precession is made necessary by the many refutations of Einsteinian general relativity now available.

### TIME D1LATAnON AND RELATIVISTIC FORCE EQUATION.

"... Orbital dynamics with a constrained Minkowski metric are used to calculate time di latation without Emstemian general relativity. 1lle res ults are consiste nt with the observed precessional mot ion in the solar system, The lagrangian of special relativity is used to develop a relativistic force equ ..."

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Orbital dynamics with a constrained Minkowski metric are used to calculate time di latation without Emstemian general relativity. 1lle res ults are consiste nt with the observed precessional mot ion in the solar system, The lagrangian of special relativity is used to develop a relativistic force equation for orbital dynamics and to show that the origin ofall orbi ts is spacetime torsion and curvature described correctly by Carlan geometry.