Time and Consistent Relativity: Physical and Mathematical Fundamentals establishes a new and original theory of time relativity, which is fully consistent. It explains why Einstein's theory of time relativity is physically meaningless and mathematically based on tacit inacceptable assumptions, and why it represents the singular case from the mathematical point of view. The consistent relativity theory established in the book represents an exit from the situation created by Einstein's theory of time relativity.
This original book presents novel results on time and its relativity that constitute the consistent relativity theory. The results are free of mistakes, inconsistencies, and paradoxes of Einstein's time relativity theory. The author's original discoveries and results constitute the new physical and mathematical fundamentals on time and its relativity. The book presentation is concise, clear, and self-contained. It covers the phenomenon of time and its properties and results in a definition and characterization of time. It enables the great variety of new mathematical results presented in the form of theorems and their corollaries and specifies the necessary and sufficient conditions for the corresponding statements to hold. The proofs are rigorous.
This book:
Explains the physical nature of time
Presents the definition and characterization of time
Explains the physical sense of time relativity
Rejects Einstein's time relativity theory as the general one
Proves that Einstein's time relativity theory represents a singular case valid under tacit, physically meaningless and mathematically inacceptable, assumptions
Generalizes and extends the Galilean-Newtonian meaning of time and its relativity
Introduces various new classes of mathematical transformations related to temporal, spatial, and velocity coordinates and proves the necessary and sufficient conditions for their validity
Discovers a great specter of new results on the time uniqueness, relativity, and temporal speed
Discovers and proves a great specter of new results on the velocity and its transformations
Discovers and proves a great specter of new results on the light speed and its invariance and non-invariance
Discovers and proves the relationship of the light speed and the upper limiting speed
Opens new directions for further research in physics and mathematical physics
Rezensionen / Stimmen
"These 600 pages cover several views to the notion of time. The main emphasis is on time in relativity theory and its philosophical consequences. Also, a large part deals with the history of relativity theory. To this end, the 500 items in the bibliography present a good source of reference. ... this book has its value ..."
-Zentralblatt MATH 1319
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-1-77463-385-4 (9781774633854)
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Schweitzer Klassifikation
Lyubomir T. Gruyitch, DSc, has very rich international academic and research experience. Now retired, he was a professor at the Ecole Nationale d'Ingenieurs, which integrated with the Institut Polytechnique de Sevenans into the University of Technology Belfort-Montbeliard, in France; the AECI professor of control in the Department of Electrical Engineering at the University of Natal, Durban, South Africa; and a professor of automatic control in the Faculty of Mechanical Engineering at the University of Belgrade, Belgrade, Serbia. He has also been a visiting professor at Louisiana State University, Baton Rouge, Louisiana; the University of Notre Dame, Notre Dame, Indiana; and the University of Santa Clara, Santa Clara, California. He continues to teach and participate at conferences on an invited basis. Dr. Gruyitch is the author of several published books and many scientific papers on dynamical systems, on control systems, and on time and its relativity. He has participated at many scientific conferences throughout the world. He has been honored with several awards, including the highest award by the Faculty of Mechanical Engineering, University of Belgrade, for teaching and scientific contributions to the faculty, 1964-1992; and an award from the Yugoslav Air Force Academy for teaching achievements in the undergraduate course foundations of automatic control. Dr. Gruyitch is a Certified Mechanical Engineer (Dipl. M. Eng.), Master of Electrical Engineering Sciences (M. E. E. Sc.), and Doctor of Engineering Sciences (DSc), all from the University of Belgrade, Serbia.
Autor*in
University of Technology of Belfort-Montbeliard, France (Retired)
Preface. Introduction. PART I. TIME. Interpretations of Time. Newton and Einstein on Time. Nature and Properties of Time. New Fundamentals. PART II. TIME FIELDS AND RELATIVITY. Time Fields and Transformations. Why not Einstein`s Relativity Theory? Non-Einsteinean Approaches to Relativity. Conclusion on Time and Time Fields. PART III. PARTIALLY COMPATIBLE BUT CONSISTENT (PCC) RELATIVITY THEORY (RT). Partial Compatibility. Light Speed of the Arbitrary Point. Any Speed of the Arbitrary Point. Conclusion on PCC Relativity Theory. PART IV. COMPATIBLE AND CONSISTENT (CC) RELATIVITY THEORY. Colinear Motions: Transformations. Noncolinear Motions: Transformations. Conclusion on CC Relativity Theory. PART V. GENERAL CONCLUSION. PART VI. SUBSIDIARY PARTS. Indexes.