81. Is The Special Theory Of Relativity Wrong? There follows a proof that the special Theory of relativity may be wrong. This may also have implications for the General Theory. http://www.webspawner.com/users/relativity/

Is the Special Theory of Relativity Wrong? Author: Greg Alexander Date: 17 Sept 2003 These days it would appear that the Special Theory of Relativity was beyond any form of doubt however I have a theoretical proof that would strongly suggest that the theory is fundamentally flawed. Indeed the proof is so straight forward it is a wonder so many supposedly acute minds have previously overlooked it. The proof runs as follows : Q.E.D. The origin of this scientific red herring lies with the famous (though some may perhaps argue infamous) Michelson-Morley experiment. It was conducted by the two Americans whom it was named after in 1887 in order to prove or disprove the existence of ‘aether’, the enigmatic substance thought to be contained in a vacuum upon which a light wave was able to move upon. The apparatus consisted of two beams of light meeting at right angles at an interferometer. If the Earth’s speed effected either of the velocities of the light beams then the interference pattern obtained would change. However it was found that the speed of the Earth about the Sun did not appear to effect the interference pattern in any way and it was upon this observation that Einstein based his Special Theory of Relativity. However just the briefest look at the exact set-up of the apparatus used by Michelson and Morley clearly reveals that the experiment could never have worked anyway. Indeed the logic supporting it is so flawed it is a wonder that no-one appears to have ever noticed. The two light beams which meet at the interferometer first travel away from it and at equal distances are reflected back again to the same half-silvered glass it started from. However because each light beam exactly doubles back on itself each time, it is obvious what the light beam would have gained as a result of the Earth’s velocity in one direction, it would exactly lose on the way back again in the opposite direction, and vice versa. Indeed the experiment would never have proved or disproved the existence of the aether either.

82. Wikiversity:Special Relativity - Wikibooks Before special relativity, Hendrik Lorentz and others had already noted that Under special relativity, the seemingly complex transformations of Lorentz http://en.wikibooks.org/wiki/Wikiversity:Special_Relativity

Wikiversity:Special Relativity From Wikibooks See also Special Relativity at wikibooks. The Special relativity (SR) or Special relativity theory (SRT) is the physical theory published in by Albert Einstein . It replaced Newtonian notions of space and time , and incorporated electromagnetism as represented by Maxwell's equations . The theory is called "special" because the theory does not include a description of gravity . Ten years later, Einstein published the theory of general relativity , which incorporates gravitation. Contents Motivation for the theory of special relativity Lack of an absolute reference frame Postulates of Special Relativity Consequences of Special Relativity ... edit Motivation for the theory of special relativity The principle of relativity was introduced by Galileo. Overturning the old absolute views of Aristotle, it held that motion, or as least uniform motion in a straight line only had meaning relative to something else, and that there was no absolute reference frame by which all things could be measured. Galileo also assumed a set of transformations called the Galilean transformations . These seem like common sense today. Galileo produced five laws of motion. Newton accepted the principle of relativity when constructing an improved set of only three laws of motion. While these seemed to work well for everyday phenomena involving solid objects, light was still problematic. Newton believed that light was "corpuscular", but later physicists found that a transeverse wave model of light was more useful. Mechanical waves travel in a medium, and so it was assumed for light. This hypothetical medium was called the "

83. Modern Physics:Special Relativity:Contents - Wikibooks special relativity PhysicsAn explanation YOU can understand of the same of the basic concepts underlying special relativity. http://en.wikibooks.org/wiki/Modern_Physics:Special_Relativity

Modern Physics:Special Relativity:Contents From Wikibooks (Redirected from Modern Physics:Special Relativity A Modern Physics Text Principles Chapter 1 - Waves wp Chapter 2 - Movement wp Chapter 3 - Special Relativity wp Chapter 4 - Quantum Mechanics wp Applications Chapter 5 - Gravity wp Chapter 6 - Electromagnetism wp Chapter 7 - Fluids wp Chapter 8 - Thermodynamics wp Chapter 9 - Nuclear Physics wp Appendix Chapter 10 - Constants wp Contents Introduction to Special Relativity Kinematics of Special Relativity Applications of Special Relativity Acceleration and General Relativity ... edit Introduction to Special Relativity Introduction Galilean Spacetime Thinking Maxwell's Equations and the Aether Michelson-Morley Experiment ... edit Kinematics of Special Relativity Special Relativity Spacetime Thinking Postulates of Special Relativity Time Dilation Lorentz Contraction ... edit Applications of Special Relativity Waves in Spacetime Math:Four Vectors Principle of Relativity Applied Characteristics of Relativistic Waves ... edit Acceleration and General Relativity Acceleration in Special Relativity Accelerated Frames and Event Horizons Momentum, Energy, and Force Gravitational Red Shift ... edit Forces in Relativity Potential Momentum Conservation of Four-momentum Elastic collisions, etc

84. Second Postulate Of Special Relativity - Information Technology The WHOLE point of special relativity is that your sense is built on a set There are axiom sets for special relativity possessing greater elegance and http://www.physicsforums.com/archive/t-66448_Second_Postulate_of_Special_Relativ

Technology Services Second Postulate of Special Relativity Icebreaker - Second Postulate of Special Relativity The speed of light in vacuum, commonly denoted c, is the same to all inertial observers, is the same in all directions, and does not depend on the velocity of the object emitting the light. This would make perfect sense if light was instataneous; i.e., if c equals (that's right, equals, not approaching) infinity distance unit / time unit. But it isn't. How does one make sense of it? Discuss Second Postulate of Special Relativity Here, Free! - Second Postulate of Special Relativity This would make perfect sense if light was instataneous; i.e., if c equals (that's right, equals, not approaching) infinity distance unit / time unit. But it isn't. How does one make sense of it? Its simple once you abbandon the concepts of absolute time and distance. Abbandoning those concepts is, admittedly, pretty difficult. Discuss Second Postulate of Special Relativity Here, Free! ZapperZ - Second Postulate of Special Relativity This would make perfect sense if light was instataneous; i.e., if c equals (that's right, equals, not approaching) infinity distance unit / time unit. But it isn't. How does one make sense of it?

85. SFB 382 D4 - Special Relativity Image and movie gallery of Daniel Weiskopf s project page (SFB 382, project D4). This project deals with the visualization of special and general http://www.tat.physik.uni-tuebingen.de/~weiskopf/sr/

project d4 special relativity virtual relativity general relativity gallery publications ... contact special relativity introduction Einstein's theory of special relativity is widely regarded as a difficult and hardly comprehensible theory, even today - more than ninety years after its publication in 1905. One important reason for this is that the properties of space, time, and light in relativistic physics are totally different from those in classical, Newtonian physics. In many respects, they are contrary to human experience and everyday perception, which is based on low velocities. In the real world, mankind is limited to very small velocities compared to the speed of light. For example, the speed of light is a million times faster than the speed of an airplane and 40,000 times faster than the speed at which the Space Shuttle orbits the Earth. Even in the long term future, there is no hope of achieving velocities comparable to the speed of light. Therefore, computer simulations are the only means of visually exploring the realm of special relativity. They enable us to experience special relativistic phenomena such as Lorentz contraction, time dilation, aberration, and finite speed of light. Thus they can help to establish a more intuitive approach to special relativity. visualization techniques Today, there exist two well-known techniques for rendering of fast moving objects. The first is an extension of normal three-dimensional ray-tracing. The second is a relativistic extension of polygon-rendering.

86. Special Relativity, Physics Presents scientific papers, commentary and analysis of special relativity physics and philosophy. http://www.wbabin.net/

Purpose of Site Visitor's Forum Submissions List Science Links ... Contact GSJ Latest Comment Rodney Kawecki Comments Jeff Alford J. Austen-Brown Mohammed Asif S.K. Baliyan Dr. Bruce Barron Nico Benschop Charles M. Benson Gong BingXin Ralph E. Bradley Dean Brodie D. Butterworth Shekhar Chandra Nigel Cook Marcelo Crotti E. C. Devito Sr. Ali A. Faraj F. Fernandez Jerry Iuliano Eit Gaastra Ivar Giavar Andreas Giessauf Peter Georgiev Chris Heilman J. Y. Hopkins D. James J.V. Kadeisvili Dr. H. Kahn Nouman Kahn Rodney Kawecki Steven Kearny Yuri Keilman R. M. Kiehn Dr. Klauder C. Klein Gregg Kolpin Simon Lloyd Jack Martinelli Miles Mathis Dr. D. McLennan Mathew Milne S. Miscione William C. Mitchell Don Myers A. K. Nguyen Dan O'Donnell S. Ong Huei Ling Ian S. Parry Frank Pearce C. Rebigsol Tim Reeves H. H. Ricker III Neville Rickert Joseph Rybczyk Brian Sallur Antonio Saraiva Ajay Sharma Hesham Al shawa S. Shreekumar Prof. C. Stuart A. Timofeev Sophie Thomas Prof. J. S. Toll W. F. Torrance Jr. C. Michael Turner David Utterback Pentcho Valev V.H. Vergon

87. Einstein's Theory Of Relativity Website for an online relativity class. Covers special relativity in depth and general relativity at a more qualitative level. Contains tutorial material, references, and links. http://www.drphysics.com/relativity.html

Theory of Relativity What are black holes? What does E=mc mean? How did the Universe begin? How will it end? How is the twin paradox resolved? Learn about Einstein's Theory of Relativity online and find the answers to these questions about the fundamental nature of matter and energy in the Universe. To find out more about the class, go to the Syllabus For a list of suggested readings, click here: Readings Worried about math? Fear not, and click here: Math Get fun, but useless, stuff at the Relativity Store Register for the class at Seattle Teachers College Rated for content by Internet Content Rating Association Made with 100% recycled materials. No electrons were destroyed to make this website. DrPhysics Home Syllabus Readings Math ... Physics Links E-mail the instructor at (Hubble Deep Field graphic courtesy of NASA , 1996). For more information about this image, click here

88. Special Relativity Home Investigating special relativity with Particle Physics Data it supports teaching and learning about special relativity in a regular physics course. http://www-ed.fnal.gov/data/phy_sci/relativity/

What Happens When Things Go Near the Speed of Light? Investigating Special Relativity with Particle Physics Data Project Page Ed home Data Home Teacher Homepage Student Homepage Abstract: This exercise is NOT a complete unit, rather it supports teaching and learning about special relativity in a regular physics course. We provide experimental data in many forms for student use. Students can download an ASCII file which contains the data or view plots that we have generated. Whether they plot their own graphs or study those provided on the site, careful analysis of the data yields an understanding of special relativity constructed from data analysis. Students can derive a form of the relativistic correction factor often referred to as "gamma." Introduction to Research: The content is framed within a student scenario that contains an authentic student task , a challenging problem and requires multidisciplinary inquiry and investigation. The task will require collaboration with peers and possibly mentors. Fermilab Experiment E687 In this experiment, a high-energy photon is created by a proton from the accelerator. The photon strikes a stationary slab of beryllium. This collision occasionally results in the creation of a

89. Special Theory Of Relativity Sometimes one hears that the special Theory of relativity says that all motion In fact, according to special relativity the speed of the bus relative to http://www.upscale.utoronto.ca/GeneralInterest/Harrison/SpecRel/SpecRel.html

The Special Theory of Relativity Click here to go to Physics Virtual Bookshelf Click here to go to the JPU200Y home page. TABLE OF CONTENTS Introduction The Constancy of the Speed of Light The Michelson-Morley Experiment Einstein "Explains" the Michelson-Morley Experiment ... Conclusion INTRODUCTION In this document we discuss Einstein's Special Theory of Relativity. The treatment is non-mathematical, except for a brief use of Pythagoras' theorem about right triangles. We concentrate on the implications of the theory. The document is based on a discussion of the the theory for an upper-year liberal arts course in Physics without mathematics; in the context of that course the material here takes about 4 or 5 one-hour classes. Einstein published this theory in 1905. The word special here means that we restrict ourselves to observers in uniform relative motion. This is as opposed the his General Theory of Relativity of 1916; this theory considers observers in any state of uniform motion including relative acceleration. It turns out that the general theory is also a theory of gravitation. Sometimes one hears that the Special Theory of Relativity says that all motion is relative. This is not quite true. Galileo and Newton had a similar conception. Crucial to Newton's thinking is that there is an absolute space, independent of the things in that space:

90. Special Relativity The special theory of relativity is valid for the person on earth, but not for the space traveler because he was in a noninertial reference system. http://sol.sci.uop.edu/~jfalward/relativity/relativity.html

Special Relativity Joseph F. Alward, PhD Department of Physics University of the Pacific Albert Einstein Important Terms Proper time D t : The length of time of some event as observed by a person at rest with respect to the event. Proper length L The length of an object observed by a person at rest with respect to the object. Dilated time D t : The length of time of some event as observed by a person moving with respect to the event. Contracted length L : The length of an object observed by a person moving with respect to the object. Simple rule If there's zero movement relative to the event or object being measured, use a subscript zero on the quantities. contraction : becoming smaller dilation : spreading out Important Equations and Concepts Length Contraction L = L (1-v /c If the object is moving with respect to an observer in an inertial reference system, it's smaller for that observer. Time Dilation D t = D t / (1 - v /c If the event is moving with respect to an observer in an inertial reference system, it takes longer to happen for

91. Particles, Special Relativity And Quantum Mechanics Explains some of the more interesting results and predictions of modern physics. http://atschool.eduweb.co.uk/rmext04/92andwed/pf_quant.html

Particles, Special Relativity and Quantum Mechanics Special Relativistic Paradoxes and Puzzles Tachyons The Particle Zoo Does Antimatter Fall Up or Down? ... Main Physics Contents page Special Relativistic Paradoxes The Barn and the Pole The Twin Paradox The Superluminal Scissors Relativity and Quantum Mechanics Contents The Barn and the Pole Updated 4-AUG-1992 by SIC Original by Robert Firth Paradoxes Contents These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn. Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer. You are that observer, sitting on the barn roof. You see the pole coming towards you, and it has contracted to a bit less than 40m. So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed. But consider the problem from the point of view of the runner. She will regard the pole as stationary, and the barn as approaching at high speed. In this reference frame, the pole is still 80m long, and the barn is less than 20 meters long. Surely the runner is in trouble if the doors close while she is inside. The pole is sure to get caught.

92. The Light Cone - An Illuminating Introduction To Relativity (by Rob Salgado) Visualizing Proper Time in special relativity with LightClocks. special relativity. Maxwell and The Electrodynamic Theory of Light Introducing the http://www.phy.syr.edu/courses/modules/LIGHTCONE/

Module Content Updated: 4 Dec 2001 Module Content Updated: 2 Jun 1997 Homepage Last modified: Sat Apr 30 00:39:35 2005 click to see this Light Cone rendered in VRML The Light Cone an illuminating introduction to relativity Rob Salgado (salgado@physics.syr.edu) What's new For a new visualization of the Twin Paradox, visit Visualizing Proper Time in Special Relativity [with LightClocks] Older, but still useful: Twin Paradox java applet Animations are available in MPEG and animated-GIF formats. Since March 13, 1996, you are visitor number PREFACE Introduction Unfamiliar Quotations English-Spacetime-Geometry Dictionary PRIMEVAL RELATIVITY EVENTS and SPACETIME Aristotle's Spacetime Introducing the PRINCIPLE OF RELATIVITY: Galileo's Spacetime ... Newton and His Mechanical Laws of Motion SPECIAL RELATIVITY Maxwell and The Electrodynamic Theory of Light Introducing the LIGHT CONE: The Einstein-Minkowski Spacetime Soap Box Seminar Series: The Twin Non-Paradox ... A more illuminating look at the LIGHT CONE GENERAL RELATIVITY Newton, Galileo, and The Laws of Gravitation

93. Visualizing Proper Time In Special Relativity [with LightClocks] (Rob Salgado) Visualizing Proper Time in special relativity with a Light Clock The Principle of relativity (Einstein), From his relativity The special and General http://www.phy.syr.edu/courses/modules/LIGHTCONE/LightClock/

Visualizing Proper Time in Special Relativity [with a Light Clock] Rob Salgado (salgado@physics.syr.edu) This is a new tutorial which will be integrated into The Light Cone , a tutorial on relativity. This new tutorial features a visual explanation of the Twin Paradox Here are some relevant pages (which will open in another page) that you may wish to browse through before continuing Introduction Events and Spacetime - describes spacetime diagrams The Principle of Relativity (Galileo) - describes the principle of relativity [applied to mechanical phenomena] Maxwell and the Electrodynamic Theory of Light - mentions the constancy of the speed of light The Einstein-Minkowski Spacetime - describes Einstein's principle of relativity [applied to all physical phenomena] This page features animated movies in AVI (.avi) and RealVideo (.rm) formats. These animations were produced with the VPython visualization module. Since November 26, 2001, you are visitor number The Principle of Relativity The Principle of Relativity (Galileo) From his Dialogue Concerning the Two Chief World Systems , Galileo wrote: ...have the ship proceed with any speed you like, so long as the motion is uniform and not fluctuating this way and that. You will discover not the least change in all the effects named, nor could you tell from any of them whether the ship was moving or standing still.

94. Special Relativity Relativists consider it a very important exercise to have students decide how to measure the length of a rapidly moving object. http://www.ux1.eiu.edu/~cfadd/1160/Ch27SpRl/ApLrntz.html

Application of the Lorentz Transformations To use the Lorentz Transformations, we must decide how to measure a moving meterstick or a moving rocket ship. It sounds simple enough. But if you will think on this for a moment, you will realize that it is not something you ordinarily do. Consider a freight train moving along a track. How would you measure its length? In actual practice, you would probably stop it and then measure its length. But we cannot do that; it keeps on moving. We could send two motorcyclists outone at the front of the engine and the other at the end of the cabooseto make marks at the front and rear of the train at the same time. Then, at our leisure, we can measure the distance between these marks. Consider a meterstick at rest in the B frame, moving at velocity v with respect to the A frame. The two ends of the meter stick are marked by "events" . This may be exploding two flashbulbs or making two chalk marks on a blackboard. They must occur at the same time as seen by an observer at rest in the A frame.

95. Einstein Light: A Brief Illumination Of Relativity The special Theory of relativity has revolutionised our understanding of EINSTEIN Einstein s principle of special relativity (Smaller html version) http://www.phys.unsw.edu.au/einsteinlight/

Relativity in 5 minutes Can you really learn relativity in five minutes? Of course not. But you can grasp some of the key ideas from the multimedia modules ( click on menu above right ), which are about a minute each. To go further, see the Related Links (below), which give more complete explanations, at levels with ( ) or without mathematics ( Some animations require the Flash 7 Plugin . The multimedia modules have animations and film clips and are typically 2Mb. The much smaller HTML versions have only text and images. (If your connection is slow, you might read some of the background links while the modules load.) Related Links for each module:- 1. GALILEO - Mechanics and Galilean relativity (Multimedia above right , smaller html version here Related Links Do I need to know this? What will I learn? An introduction to the mechanics of Galileo and Newton Inertial frames and why the laws are the same in the train and on the platform The original references, and some caveats and conventions. 2. MAXWELL - Electricity, magnetism and relativity (Multimedia above right , smaller html version here Related Links A little background to electricity and magnetism Electricity and magnetism in a moving frame: what would you expect?

96. Concepts Of Special Relativity Conceptual Framework relativity. Index relativity concepts Solvay Conference, 1911 Conceptual Framework General relativity http://hyperphysics.phy-astr.gsu.edu/hbase/relativ/conrel.html

Conceptual Framework: Relativity Index Relativity concepts Solvay Conference, 1911 HyperPhysics ... Relativity R Nave Go Back Conceptual Framework: General Relativity Index HyperPhysics Relativity R Nave Go Back

97. Special-Relativity In 1905 Einstein enunciated the special theory of relativity, in which the hypothesis that the laws of nature are the same in different moving systems also http://www.neutron.anl.gov/hyper-physics/special-relativity.html

Special Theory of Relativity relativity (rèl´e-tîv¹î-tê), physical theory, introduced by Albert Einstein , that discards the concept of absolute motion and instead treats only relative motion between two systems or frames of reference. Space and time are no longer viewed as separate, independent entities but rather as forming a four-dimensional continuum called space-time . In 1905 Einstein enunciated the special theory of relativity , in which the hypothesis that the laws of nature are the same in different moving systems also applies to the propagation of light, so that the measured speed of light is constant for all observers regardless of the motion of the observer or of the source of light . From these hypotheses Einstein reformulated the mathematical equations of physics . In most phenomena of ordinary experience the results from the special theory approximate those based on Newtonian dynamics , but the results deviate greatly for phenomena occurring at velocities approaching the speed of light. Among the assertions and consequences of the special theory are the propositions: the maximum velocity attainable in the universe is that of light (c) mass increases with velocity mass and energy are equivalent E=mc objects appear to contract in the direction of motion (Lorentz contraction) the rate of a moving clock seems to decrease as its velocity increases (time dilation) events that appear simultaneous to an observer in one system may not appear simultaneous to an observer in another system.

98. Lecture 21: Special Relativity Predictions of special relativity. Measurement of Time, Length, and Mass depend on the velocity of the observer. As velocity increases http://instruct1.cit.cornell.edu/courses/astro101/lec21.htm

Lecture 21: Special Relativity Astronomy 101/103 Terry Herter, Cornell University Course Home Page Index to Lectures Lecture Topics The Postulates of Relativity Addition of Velocities Simultaneity of Events Weird Predictions Time dilation Length contraction Mass increase Twin Paradox Relativity There is no absolute motion. Everything is relative. Suppose two people are alone in space and traveling towards one another (as measured by the Doppler shift!): - Which one is moving? - They can't tell! Relativity Example A train is moving at 65 mph relative to the tracks.

99. Special And General Relativity - New Mathematical Formulations Presentation of new mathematical formulations for both the special and General Theories of relativity. http://www.relativitydomains.com/

SPECIAL AND GENERAL RELATIVITY - NEW MATHEMATICAL FORMULATIONS The purpose of this site is the presentation of a new simplified mathematical formulation of Albert Einstein's Special Theory of Relativity, and the introduction of a new theory of Gravity. The content is therefore of a technical nature, requiring a good knowledge of mathematics, physics and applied mechanics up to graduate level. Links to Papers etc RELATIVITY GRAVITY COSMOLOGY Links to other web sites of a related nature Links PDF versions of all papers PDF The current literature on these theories primarily works with such techniques as Riemannian Geometry and the Tensor Calculus etc., and while these are extremely powerful mathematical tools, they are also very complex. Therefore, when applied to Einstein's two most well known theories, they result in a formulation quite difficult to follow for even the most accomplished post graduate student. In the presentations here, nothing more complex than first and second order differential equations of functions of a complex variable are used to initially develop the above theories from first principles. This forms the basis from which additional papers are developed extending the technique into further relativistic, gravitational and cosmological matters. The latter includes the development of a mathematically rigorous new theory for the origin and existence of the Universe. Note - In some papers the mathematical nomenclature uses a special font to represent a certain parameter. Within the text this may not display correctly, being replaced by a standard font, (For those who wish to display this parameter correctly, the necessary font is here

100. MATHEMATICAL ERRORS OF THE SPECIAL RELATIVITY THEORY Investigations News of physics soliton theory of relativity mathematical errors in special relativity theory Lorentz s transformations theoretical physics. http://chavarga.iatp.org.ua/

Dear site visitors! The article "Relative Motion of Solitons in the Light-Carrying Ether" is proposed to your attention. It was printed in the journal "Uzhgorod University Scientific Herald", series "Physics", Issue 7, 2000 (in Ukrainian). The basic ideas, stated in this article, were stated somehow earlier as a separate chapter in my book "Problem of Rational and Irrational in Physics", Uzhgorod, 1999 in Russian (and in 2000, in English, with several additions) . In the present article, the mathematical errors of special relativity theory are analyzed in detail, and also a new theory is suggested, which is well agreed with all experimental facts known nowadays, including the results of the experiments with Michelson's interferometer. In this work, the usually unfriendly criticism of special relativity theory, moreover, of its author, is absent - simply the concrete places, in which errors were made, and the essence of these errors, are mentioned. The discovery of errors in a theory sometimes may delay for many years and decades, but when it is found, it is not difficult to make sure of it, if only you have no prejudices to works of similar kind. In order to understand the essence of the given here criticism of the non-ether relativity theory, and also the essence of the suggested theory, it is unnecessary to be a specialist in this field - education at the level of senior years at physical faculty is sufficient for this purpose. From the mathematical viewpoint, there are no difficulties here at all.

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