The text of the original in Russian 


The independence of half of muons from the Speed of movement

Abstract. This article discusses the processes of decay of muons produced in the wild. We show that contrary to popular belief, half of muons does not depend on the speed of their movement. Increasing the number of muons at the Earth's surface is not a proof of the relativistic slowing of time in the moving coordinate systems. 

Introduction 

As can be seen from the analysis of the experience of the Michelson-Morley experiment [1], reducing the length of the interferometer arms, if such a reduction has occurred in reality, should be proportional to the value 1 - v2/c2, rather than the value (1 - v2/c2) 1 / 2 are considered at present. However, in a significant reduction in the coefficient of length equal to 1 - v2/c2, Lorentz transformations, Einstein's lost any meaning, since it is impossible to reverse the transformation of coordinates of space and time intervals for the transition of the moving system of coordinates fixed. On the other hand, it can be shown that the reduction in proportion to the length multiplier (1 - v2/c2) 1 / 2 (at the time agree that this factor makes sense) must correspond to a similar decrease, not increase in time intervals that have occurred in the moving coordinate system in their observation of the fixed coordinate system, otherwise the principle of constancy is not running the speed of light. In other words, reduce the length of phone (the distance between two points of space) in the moving coordinate system must match the acceleration, not deceleration time in the same coordinate system. Thus, contrary to popular belief, there is no reason to believe that the slowing of time in general takes place in real physical reality. Nevertheless, the generally accepted view is that it is slowing down time to the reality of physical reality. This view is based, inter alia, on the analysis of the disintegration of certain unstable particles with a short half-life, such as muons. Let's see how this view is correct. 

Analysis of the collapse of the muon 

Muon is a particle with a charge equal to the electron charge and mass of 207 times the mass of the electron. Half the value of the muon is approximately 1.5 'with a 10-6. In natural conditions, muons are formed in the upper atmosphere of Earth at an altitude of approximately 106 cm under the influence of cosmic rays. When going to the Earth muons decay with the formation of electrons and neutrinos. 

It was found that the number of muons, observed at the Earth's surface does not match the well-known formula 

N = N0e-tln2 / T, (1) 

where N0 - number of particles in this volume at time t; 

       N - number of particles in the same amount of time T;

      T - half particles. 

It explains the Nobel Prize in Physics L. Cooper «If, after the education they (muons - VP) would have moved even with the speed of light ..., the middle path, where half of them breaks down, was a product of their life time, 1 5 '10-6 cm at a speed equal to the speed of light. On the way to 9 cm'104 broke a three-quarters of the particles, on the way to 1,35 '105 cm - seven-eighths, etc. Therefore, the surface of the Earth, lying on the 106 below the level of education of muons, flew to a very few particles. Nevertheless, at the Earth's surface they observed a significantly larger number than would be expected from half time when particles ... particle after its emergence in the upper atmosphere is moving at high speed about us ... time between formation and dissolution of our to significantly lengthen. Its exact value is determined from the expression 

(1,5 '106) / (1 - v2 / c2) 1 / 2 

As a result of muons can reach the Earth's surface before they raspadutsya »[2]. 

We know that the moment of all muons have approximately the same mass, while at the Earth's surface are detected muons with different masses, including those with masses equal to the mass of muons at the time of their formation. If separately calculate the number of muons with a mass equal to the mass of muons at the time of their formation, it turns out that the number of muons in the accuracy of the number calculated by the formula (1). The abundance of muons at the Earth's surface is observed by the muons that are a lot different from the mass of muons at the time of their formation. The question arises, how the Earth's surface were those muons, at the time of education, all muons have the same weight? The answer can be only one - these muons created by the dissolution of other, more massive muon. Indeed, at various altitudes above the Earth's surface are detected muons with different masses [3]. 

Suppose that the moment of the mass of each of the resulting muons at 10 times the mass of muons in a state of «peace». During N exactly half of the muons disintegrate with the formation of new particles. What is the new particles? With the breakup of the conventional ( «light») muons generated electron and neutrino. Since the Earth's surface observed muons with a mass less than that of the generated muons, there is reason to assume that in the first decay muons formed «heavy» electrons, with a mass less than the original mass of muons. Known that the electron is nothing but mass does not differ from the muon. Therefore we can say that in the first breakup of the easier formation of muons, which equals the number of broken muons. Thus, in the first breakup of the total number of muons does not decrease, but half the muon has a mass less than that of the source of muons. As a result, the total time of the muons increases by two times. 

The next decay occurs the same thing: muons decay with the formation of a light muons. In the process of dissolution of any muons uspeyut disintegrate completely, turning into electrons, while others become easier muons. As a result, the total number of muons reaching the Earth's surface will be more than it follows from formula (1). «Relativistic» deceleration time, therefore, is not with it. 

It can be assumed that if a single decay of «heavy» muon loses weight equal to the mass of a normal electron, then the number of decays experienced a «heavy» muons would be well 

n = m / 207, 

where n - number of decays, the test data muons; 

       m - mass of the muon. 

Thus, if the mass of the muon is equal to, say, 207 the mass of the electron, the muon decay of a single test, but if the mass of the muon, for example, 414 is equal to the mass of the electron, then the muon decay of the two experiences, with each of its mass to be reduced by 207 electron masses. Accordingly, the lifetime of the muon doubles, regardless of the speed of its movement. 

Conclusion 

Observed at the Earth's surface are a number of muons with different masses, allowing to conclude the following: 

Muons with masses, large masses such as muons «in a state of peace», experiencing more than one-time decay, regardless of the speed of their movement. 

Observed at the Earth's surface muons with masses different from the mass of the source of muons, formed as a result of this, more than a single-source decay of muons. This explains the excess number of muons, observed at the Earth's surface. 

Increasing the number of muons, observed at the Earth's surface, not associated with the change of their half. 

Half of muons, as well as any other particle does not depend on the state of their movement. 


Sources of information: 

Petrov, VV On the motion of the beam perpendicular to the Michelson-Morley experiment. 

L. Cooper. Introduction to the nature and structure of physics. Volume 2. Modern Physics. Translated from English. Izdatelstvo «world», Moscow, 1974. 

Sat. MESON. Edited by I. Tamm. Moscow-Leningrad, 1947.