Extinction Shift Principle� : The Details |
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On Discourses & Mathematical Illustration pertaining to the Extinction Shift Principle Solved Problems in ELECTROMAGNETISM On Transverse Relative Time as opposed to Time Dilation An apparent Time Dilation or a transverse relative time shift , shown to be merely an inverse of a transverse relative frequency, yields a pure classical equivalence to a Time Dilation, but for an intuitive, classical reason, demonstrating the Time Dilation is merely an apparent phenomenon. To any stationary observer, a moving charge would appear to trace a longer path, as in Galilean Electrodynamics, the effects are conveyed to the stationary observer via electrodynamics of emissions at the finite velocity c relative to the interfering medium. See for a short slide presentation and excerpts from seminars, pdf files: 2nd set, slide #8, "Transvers-Relative Zeitverschiebung {Transverse Relative Time Shift}". Effective Mass as opposed to Relativistic Mass The problem of a moving charged mass under influence of an accelerating potential demonstrates a direct, pure classical derivation of an effective mass (not actual mass), yielding the very same equation as for the Relativistic mass, but requiring only pure classical tools. See also below, "Effektive Masse {Effective Mass}". The following animation may be considered a direct proof for the concept of the effective mass as opposed to the actual mass or the relativistic mass in the discipline of Particle Physics. It is easily illustrated and is evident that the only observable in the past century of atomic and particle Physics is that of an observable force/acceleration ratio. The mass of a particle or an atom has never been measured. It has only been calculated. The following illustration is that of an elastic collision between particles of like masses, say protons. It is herein illustrated that the velocity of the center of the effective masses indicated by the purple dot "o" is unchanging; an important point not treated in the textbooks.
We note that the center of mass CM point that represents the center of the effective masses moves closer to the larger of the effective masses with a velocity that is closer to that mass. The one single parameter that remains unchanged is the velocity of the center of the effective masses. It is for this very reason that the protons taking part in any elastic collision, carrying away equal energies, will depart with angles of scatter less than 45 degrees from the direction of velocity of center of masses; also not found in the textbooks. We note also that the principle of the effective mass derived in the book on page 25 and illustrated here yields precisely the mathematical physics results of Relativity, but for an entirely different reason. The following table provides the relevant data for such an elastic collision between a proton of 435 MeV colliding with a second proton at rest and then departing with equal energies. The angles of scatter are calculated, arriving at the precise mathematical results of Relativity, but for pure classical reasons explainable only in Euclidean Space Geometry.
An additional problem is stated in the GRE {Graduate Record Examination} Book on Physics 4 Full-Length Exams, Research & Education Association, 1993, problem 49 on page 167. A neutron of kinetic energy T = 1876 MeV is incident on a neutron at rest. The neutron scatters elastically. Find the angle of scatter. The above procedure can be repeated for the new parameters. Also note that the effective mass principle applies to both neutral masses as well as to charged masses. Mass-Energy Relation A mass-energy relation is derived using the very same principal axioms, illustrating a merely apparent, not an actual gobbling up of the matter. The actual mass does not change as a function of velocity. The potential energy of an electric field exposed to any charged mass that is free to move, serves merely an energy reservoir for the kinetic energy acquired by the accelerating charged mass particle. As the particle acquires more velocity relative to the accelerating apparatus that supplies the field, the Lorentz forces acting on the moving mass charge must be modified. A moving charge sees an entirely different field than does a stationary charge. As the particle's velocity approaches the velocity c relative to the laboratory apparatus, the effect of the Lorentz force is thereby diminished. The accelerating apparatus becomes less efficient. As a consequence of Galilean transformations, the finite velocity of propagation of the field set up by the stationary laboratory apparatus and the effects thereof, as illustrated mathematically in the book, the E-field component of the Lorentz force acting on the moving particle actually diminishes by the factor
rather than the inverse, namely, the effect of motion causing the mass of the charge to increase by the factor as is preferred by the relativists, thus, giving only the illusion that the mass increases as a function of velocity. It is well understood that the magnetic field component of an electromagnetic field does no work at all on the charged particle as is dictated by the Lorentz force law. The laws of conservation of energy and of momentum are herein strictly adhered to. [See References: McGraw-Hill Encyclopedia of Physics, 1983, Parker, p.957 and Classical Electrodynamics, 1975, Jackson, 2nd ed, John Wiley & Sons, Inc., p.238, 572-3,578-582]. This effect of the velocity dependent electric field-charge interaction is virtually ignored in the discipline of nuclear and particle physics, especially among that community of physical science bent on the survival of Relativity. Excerpts from past Seminars pdf file 14 View Graphs {English}
pdf file 8 View Graphs {Deutsch}
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Electromagnetism On Mathematical Illustrations pertaining to the Extinction Shift Principle
Gravitation On Mathematical Illustrations pertaining to the Extinction Shift Principle
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