The Infinite Universe Of Einstein And Newton
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The Infinite Universe of Einstein and Newton
After developing his Law of Gravitation, Newton came to believe that the Universe was infinite and homogeneous on a large scale. Einstein's original intuition was similar to Newton's in that he thought our Universe was static, infinite, isotropic and homogeneous. The field equations of Einstein's general relativity are solved for this universe. One of the three solutions found, the "infinite closed universe", traps light within a finite portion of the universe. This infinite closed universe model is shown to fit all the data of the Hubble diagram better than the Big Bang, and it fits the recent supernova data without having to postulate mysterious dark energy. Using general relativity and the physics which evolved from Newton, the author finds the force of gravity between two point particles. Utilizing this force and the infinite closed universe model, the net force of gravity on a point particle, in arbitrary motion, due to the uniform mass distribution of the universe is calculated by an integration. This net force of gravity is found to be equal to the force of inertia. These calculations explain Newton's First Law, Newton's Second Law, and the equivalence of inertial and gravitational mass. In addition, by the extension of Einstein's general relativity to two-body interactions Newton's Third Law is elicited. These results show that the cosmological redshift and the physics that we know are likely the result of the uniform mass distribution of our infinite closed universe and gravity alone.
Our Universe-Infinite and Eternal
The field equations of Einstein's General Relativity are solved for an infinite universe with uniform density. One of the three solutions, the Infinite Universe of Einstein and Newton, fits all the data for the Hubble diagram better than the Big Bang. Next, using general relativity and the physics that evolved from Newton, the force of gravity between two massive point particles is found. Utilizing this force and the Infinite Universe of Einstein and Newton model, the net force of gravity on a point particle in arbitrary motion, due the uniform mass distribution of the universe, is calculated by integration. This net force of gravity is found to be equal to the Force of Inertia. These calculations explain Newton's First Law, Newton's Second Law, and the equivalence of inertial and gravitational mass. The middle of the book deals with the development of quantum mechanics. Here it is shown that hidden within the classical mechanics of particles there is the phase of a wave, associated with a particle, that moves at the speed of a de Broglie wave. The form of the phase of the wave is developed. Making use of the form of the phase, the Hamilton-Jacobi equation for a particle is setup to be solved using an integrating factor. The resulting equation is manipulated directly into the form of the Schrodinger equation. This development requires that the particle Hamilton-Jacobi equation has a solution whenever the Schrodinger equation has a solution and vice versa. The classical wave function is then shown to have exactly the same mathematical properties as the quantum mechanical wave function, including the fact that the absolute value squared of the classical wave function has the mathematical properties of a probability density. However, the interpretation that this is a probability density for the particle is shown not to hold. Lastly, the missing matter problem is resolved by showing that the dynamics and the mass of a spiral galaxy are better and more naturally explained by using ordinary physics with ordinary interacting matter than they are by postulating and using exotic weakly interacting dark matter.
From Newton's Laws to Einstein's Theory of Relativity
This book aims to introduce to the reader the main thread of development from Newton's laws to Einstein's theory of relativity. Limited by its scope and avoiding as much as possible the use of mathematical apparatus, the authors try to clarify the most fundamental ideas and concepts. Both authors hold a deep reverence for Galileo and Einstein, and this book is dedicated to these two great scientists.