Lorentz Transformation for High School Students


Book Description

Lorentz Transformation (LT) for High School Students Einstein tried to prove LT back to 1905 and 1920 in vain. On page 1209 of University Physics (the Book 1 on page 12 of this book) the authors adopted the easiest way to prove LT. the way they failed is the same as the way Einstein failed in 1920 which is related to the function theory of mathematics. Why LT is so hard to prove? the answer depends on how much do you care about physics. I know that the author of this book do care about physics. the author of this book explained in detail about what Einstein was missing in each of two proofs and how the easiest way was trapped within function theory of mathematics, all in one of author's earlier books. After that, he thought, if he was able to point out the key errors in some famous proofs of LT, why didn't he try to prove LT by himself? the author has spent most of his leisure time on LT for about nine years and this book is the answer to above question. In this book, the author used some algebra and a few Cartesian coordinates. I know that both of them are all within high school mathematics. the result of the proof is that: When v = 0, where v is the relative speed between S and S', then LT is (t', x', y', z') = (t, x, y, z) for all events. When v >0, then LT is (t', x', y', z') = (?t, -?vt, y, z). Yes, mathematically speaking, LT is so simple. I believe that you will find no mistake in any step of the proof. the proof is absolutely worth the price of this book. If you really care about physics, you will love the proof! It is very neat.




The Mechanics of Lorentz Transformations


Book Description

The subject of this book is the mechanics of Lorentz transformations which is commonly investigated under the title of special relativity theory. The motive for setting the subject of investigation as Lorentz transformations instead of special relativity is objectivity. However, we also investigate special relativity thoroughly as a possible interpretation of the mechanics of Lorentz transformations. The book originates from a collection of personal notes and tutorials about topics and applications related to modern physics and tensor calculus. The book includes many solved problems as well as extensive sets of exercises whose solutions are available in another book. The book also contains a number of high quality graphic illustrations. A rather thorough index is also added to the book to enable keyword search and provide a useful list for the main technical terms of this subject. Cross referencing is used extensively where these cross references are hyperlinked in the digital versions. The book can be used as a guiding text or as a reference for a first course on the mechanics of Lorentz transformations or as part of a course on modern physics or tensor calculus or even special relativity.




A Mathematical Approach to Special Relativity


Book Description

A Mathematical Approach to Special Relativity introduces the mathematical formalisms of special and general relativity. Developed from the author's experience teaching physics to students across all levels, the valuable resource introduces key concepts, building in complexity and using increasingly advanced mathematical tools as it progresses. Without assuming a background in calculus, the text begins with symmetry, before delving more deeply into Galilean relativity. Throughout, the book provides examples and useful "Guides to the Literature." This unique text emphasizes the experimental consequences and verifications of the underpinning theory in order to provide students with a solid foundation in this key area. - Based on the professor's 25+ years of experience teaching physics students at every level - Covers key topics in special relativity, including some group theory, as well as an introduction to general relativity and basic differential geometry - Contains numerous worked examples and "Guides to the Literature" throughout the text







Special Relativity for Beginners


Book Description

This book, first appearing in German in 2004 under the title Spezielle Relativit„tstheorie fr Studienanf„nger, offers access to the special theory of relativity for readers with a background in mathematics and physics comparable to a high school honors degree. All mathematical and physical competence required beyond that level is gradually developed through the book, as more advanced topics are introduced. The full tensor formalism, however, is dispensed with as it would only be a burden for the problems to be dealt with. Eventually, a substantial and comprehensive treatise on special relativity emerges which, with its gray-shaded formulary, is an invaluable reference manual for students and scientists alike.Some crucial results are derived more than once with different approaches: the Lorentz transformation in one spatial direction three times, the Doppler formula four times, the Lorentz transformation in two directions twice; also twice the unification of electric and magnetic forces, the velocity addition formula, as well as the aberration formula. Beginners will be grateful to find several routes to the goal; moreover, for a theory like relativity, it is of fundamental importance to demonstrate that it is self-contained and without contradictions.Author's website: www.relativity.ch.




Fundamentals of Physics I


Book Description

A beloved introductory physics textbook, now including exercises and an answer key, explains the concepts essential for thorough scientific understanding In this concise book, R. Shankar, a well-known physicist and contagiously enthusiastic educator, explains the essential concepts of Newtonian mechanics, special relativity, waves, fluids, thermodynamics, and statistical mechanics. Now in an expanded edition—complete with problem sets and answers for course use or self-study—this work provides an ideal introduction for college-level students of physics, chemistry, and engineering; for AP Physics students; and for general readers interested in advances in the sciences. The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics.




Apa


Book Description

Some day in the near future, people will use same language and they may keep or quit their mother tongues. This book is prepared for that day. Based on Pinyin system the author combined the International Phonetic Alphabet (IPA) of English and Chinese into 47 symbols of Auxiliary Phonetic Alphabet (APA). The author also worried about the future of science. Most people know that science is based on measurements. To make a valid measurement people must record related event time and event location. That means, to secure our science, people must have a firm common sense of spacetime. In this book, knowledge is the useful part of history which is ready for you as of here and now, plus your current ability on logic, both of the basic reasoning and the extended imagination. A piece of science is a knowledge comes with formula or formulas. The common sense is the intersection of individuals knowledge in the related area while history is whatever happened in the past, especially those related to human beings. What are your definitions of knowledge, science and common sense?




Quantum Field Theory, as Simply as Possible


Book Description

An exceptionally accessible introduction to quantum field theory Quantum field theory is by far the most spectacularly successful theory in physics, but also one of the most mystifying. This venerable subject provides the crucial bridge between the long established quantum mechanics and the still hypothetical string theory. Quantum Field Theory, as Simply as Possible provides an essential primer on the subject, giving readers the conceptual foundations they need to wrap their heads around one of the most important yet baffling subjects in physics. Quantum field theory grew out of quantum mechanics in the late 1930s and was developed by a generation of brilliant young theorists, including Julian Schwinger and Richard Feynman. Their predictions were experimentally verified to an astounding accuracy unmatched by the rest of physics. Quantum field theory unifies quantum mechanics and special relativity, thus providing the framework for understanding the quantum mysteries of the subatomic world. With his trademark blend of wit and physical insight, A. Zee guides readers from the classical notion of the field to the modern frontiers of quantum field theory, covering a host of topics along the way, including antimatter, Feynman diagrams, virtual particles, the path integral, quantum chromodynamics, electroweak unification, grand unification, and quantum gravity. A unique and valuable introduction for students and general readers alike, Quantum Field Theory, as Simply as Possible explains how quantum field theory informs our understanding of the universe, and how it can shed light on some of the deepest mysteries of physics.




Special Relativity


Book Description

Special Relativity: A Heuristic Approach provides a qualitative exposition of relativity theory on the basis of the constancy of the speed of light. Using Einstein's signal velocity as the defining idea for the notion of simultaneity and the fact that the speed of light is independent of the motion of its source, chapters delve into a qualitative exposition of the relativity of time and length, discuss the time dilation formula using the standard light clock, explore the Minkowski four-dimensional space-time distance based on how the time dilation formula is derived, and define the components of the two-dimensional space-time velocity, amongst other topics. - Provides a heuristic derivation of the Minkowski distance formula - Uses relativistic photography to see Lorentz transformation and vector algebra manipulation in action - Includes worked examples to elucidate and complement the topic being discussed - Written in a very accessible style




Special Relativity


Book Description