Product Description: I am sure that some of the concepts expressed within this book have been contemplated by others before, but nonetheless, it has been only during the year 2010 when these concepts first occurred to me in detail in a rational and conscious manner...read more

Product Description: The 4th paradigm of science: why.

Product Description: I am sure that some of the concepts expressed within this book have been contemplated by others before, but nonetheless, it has been only during the year 2010 when these concepts first occurred to me in detail in a rational and conscious manner...read more

Product Description: I am sure that some of the concepts expressed within this chapter have been contemplated by others before, but nonetheless, it has been only during the year 2010 when these concepts first occurred to me in detail in a rational and conscious manner...read more

Product Description: I am sure that some of the concepts expressed within this chapter have been contemplated by others before, but nonetheless, it has been only during the year 2010 when these concepts first occurred to me in detail in a rational and conscious manner...read more

Product Description: For most of the last half century, new paradigms for a final theory have consumed the physics community. In the last quarter of a century, nothing of consequence has resulted. You won't find notions of 'grand unification' here. There is too much to be done, and re-done correctly, before that...read more

In my smaller book, “The Absolute Relations of Time and Space,” I gave an abbreviated account of this work and added an appendix showing how the various complicated geometries which are treated of in Einstein's generalized relativity could be obtained by means of a modified measure of interval. However, most relativists have been too busily engaged in praising Einstein to spare the time to go into my work. One result of this has been that, by taking the idea of measurement as the fundamental thing, a very large number, if not the majority, of relativists have fallen into the very serious error of asserting that the length of what they call a “world-line " is a minimum between any two points of it. In my “Theory of Time and Space "I showed (p. 360) that this is not correct. Finding that a number of writers were making this mistake, I wrote a letter which appeared in Nature (February 5, 1920, p. 599) in which I invited attention to this matter and pointed out that in what I called “inertia lines '' the length, so far from being a minimum, was actually a maximum in the mathematical sense; while, in what I called “separation lines” the length was neither a maximum nor a minimum. In this letter I gave actual numerical examples to illustrate these points. I invited attention to the matter again in my “Absolute Relations of Time and Space" (p. 71), published in 1920. In spite of these efforts of mine, I again find this blunder cropping up in works published this year. Now it seems to me that it is a very important point since, in ordinary geometry, there is no such thing as a “longest” line joining two points. The idea would, I think, be apt to cause bewilderment in the mind of a person meeting it for the first time, unless it were properly presented to him. The idea of a “straight line” which was neither a maximum nor a minimum would, I fancy, cause even greater bewilderment, and he would wish to know how such lines were to be defined. In Einstein's generalized relativity, the element of interval is taken as a starting-point, although the idea of an interval in the minds of many writers is so obscure that they ascribe a minimum property to it which it does not possess. Although I have tried so often to impress on relativists that the ordinary method of treating space-time theory is unsatisfactory, I propose to make one more attempt to show that the measurement of intervals is not the simple thing that is so often supposed. Let us consider the simple time-space theory in which the length of an element ds of what I call a “separation line” is given by the formula: ds2 = dx2 + dy2 + dz2 – dt2. Let O be the origin of co-ordinates and let P be any point on the axis of x, at a distance l from O, measured, say, in the positive direction. Let F(x) be any arbitrary differentiable function of x which is continuous and single valued, and which is equal to zero for x = O and for x = l. Now consider the space-time curve the equations of which are: y = t = F(x), 2 = O. It is evident that this curve passes through O and P. But now we have dy=dt, dz=o ds2=dx2 and so on. Thus we have ds=dx, so the length measured along the space-time curve from O to P is equal to the length of O to P measured directly along the axis of x. That is, it i equal to l. Thus a space-time curve the equation of which contain an arbitrary function can have the same length between two points as the direct length measured between those two points. —Nature, Volume 110 [1922]

Product Description: Albert Einstein: Life of a Genius When it comes to scientists that have made their mark in the world, then none are perhaps more famous than Albert Einstein. Students around the world are taught about his theories and equations with E=mc2 undoubtedly being the most famous...read more

An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum mechanics: Part I is an introduction to analytical mechanics, suitable for a graduate or advanced undergraduate course. Part II presents material designed principally for graduate students. The appendices in Part III summarize the mathematical methods used in the text. The book integrates relativity into the teaching of classical mechanics. Part II introduces special relativity and covariant mechanics. It develops extended Lagrangian and Hamiltonian methods that treat time as a transformable coordinate rather than the fixed parameter of Newtonian physics, including an extended definition of canonical transformation that both simplifies the theory and no longer excludes the Lorentz transformation. The book assists students who study classical mechanics as a preparation for quantum mechanics. Analytical mechanics is presented using methods - such as linear vector operators and dyadics - that familiarize the student with similar operator techniques in quantum theory and the dyadic Dirac notation. Comparisons to quantum mechanics appear throughout the text. For example, the chapter on Hamilton-Jacobi theory includes discussions of the closely related Bohm hidden variable model and Feynman path integral method. The chapter on angle-action variables concludes with a section on the old quantum theory. Several of the fundamental problems in physics - the development of quantum information technology, and the problem of quantizing the gravitational field, to name two - require a rethinking of the quantum-classical connection. Graduate students preparing for research careers will find a graduate mechanics course based on this book to be an essential bridge between their undergraduate training and advanced study in analytical mechanics, relativity, and quantum mechanics.New to the Second Edition:Part I contains new chapters on Central Force Motion (Chapter 11) and Scattering (Chapter 12), and new material on time-independent canonical transformations. Part II contains a new chapter (Chapter 22) on Angle-Action Variables. These additions allow a more flexible use of the text. Part I is now a self-contained, introductory analytical mechanics course. The instructor can then select a range of topics from Part II appropriate to the interests of more advanced students.

Product Description: Animation is the human proof for animism. I am therefore, pi, is. Biology and technology (symbolic systems) conserve a circle.

Product Description: A partir de un nuevo modelo matemático que combina los logros de la teoría general de la relatividad con los de la física cuántica, el autor ha rastreado el Universo antes del Big Bang, un Universo con un volumen mínimo que no es cero y una energía máxima que no es infinita...read more

Product Description: Much of modern quantum theory assumes that the rules of physics in this material physical world that we live in are not the same rules of physics in the quantum world. In this physical world, energy is an attribute of an object with mass; in the quantum world, it is taught that energy can exist without mass...read more

Product Description: Underneath it all, 50-50, is the most basic, and realistic, assumption. There is a circular relationship endemic to the binary system, thus, the decimal system is 50-50 flawed. Thus 50-50-50 is 50-50.

Product Description: James Clerk Maxwell turned the scientific world upside down in the late nineteenth century with his theory of electromagnetism, which predicted that an electromagnetic wave would propagate in vacuum with a constant speed. His prediction was at odds with classical mechanics, and some scientists devised new ideas to reconcile the discrepancy...read more