Invariant Integrals in Physics
In this book, all physical laws are derived from a small number of invariant integrals which express the conservation of energy, mass, or momentum. This new approach allows us to unify the laws of theoretical physics, to simplify their derivation, and to
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Invariant Integrals in Physics
Invariant Integrals in Physics
Genady P. Cherepanov
Invariant Integrals in Physics
123
Genady P. Cherepanov Miami, FL, USA
ISBN 978-3-030-28336-0 ISBN 978-3-030-28337-7 https://doi.org/10.1007/978-3-030-28337-7
(eBook)
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Preface
In this book, basic laws of physics are derived from the law of energy conservation using invariant or path-independent integrals. This new approach allowed the present author to also discover some new laws generalizing Archimedes’ buoyancy principle, Coulomb’s Law of rolling, Newton’s Law of gravity, Coulomb’s Law for electric charges, and some others. The book presents these findings; it is meant to be used in all walks of life and at school—wherever physics is necessary. For those who seek new opportunities for discovering new laws, it may be of a major interest. Some minimal mathematical knowledge, including the divergence theorem, elementary tensor skills, and analytical functions, would be helpful. However, the promise of discoveries much exceed these technical difficulties. I express a deep gratitude to my son Yury G. Cherepanov who has a MS in math and a MA in business; he was an invaluable help in the preparation of this book. Miami, USA June 2019
Genady P. Cherepanov Honorary Life Member of the New York Academy of Sciences elected on December 8, 1976 together with Linus C. Pauling
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Introduction
The value of an invariant integral does not depend on its path, surface, or volume of integration which can thus be deformed without changing this value. Invariant integrals express the laws of conservation of energy, mass, or momentum. Some
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