Some Questions of the Special RelativityPart 1.My Russian-language page is more informative. Forward to part 2: Interval. Four-dimensional velocities. Types of acceleration. Four-accelerations. Relativistic rocket. Forward to part 3: Different forms of space-time transformations. Quantum velocities in Special Relativity. In this page three types of velocities and six types of accelerations will be introduced. In fact, in the majority of cases we measure the velocity, which has no name in physics. Let's solve several simple problems. Problem 1. You have made an ideal meter rod. Suppose it flew (sorry) by your nose in one second. What is the velocity of the rod? If you divide one meter on one second you will find an "error velocity". According to special relativity the moving rod is contracted. d = d0sqr(1-v2/c2). According to the definition, the velocity is the ratio of the distance, covered by the material point, to the time interval of its movement. The length of the moving rod is smaller than one meter, consequently the trace, made by some point of rod on the coordinate plane will be smaller than one meter. v = d0sqr(1-v2/c2) / t. Velocity enters to both parts of equation. After transformations we'll have: v = b / sqr(1+b2/c2), Where: b = d0/t = 1m/s is "the error velocity", which we had received at the beginning. After computing we'll have: v = 0,99999999999999999443674972... m/s. Problem 2. You are in the uniformly moving car. At 12.00 you see the kilometer pole 100. At 13.00 you see the kilometer pole 200. What is the velocity of your car? If you divide the covered distance 100 km on one hour you will receive "the error velocity" again. The role of moving rod in this problem plays the road. Road is contracted and the velocity will be a little smaller than 100 km/hour. Problem 3. You are in the relativistic rocket with unlimited technical possibilities. Can you cover the distance of 1024 meters in the time interval of one second? If you rocket has unlimited technical possibilities then it is possible. Your "error velocity" will be1024 meters per second, but the "correct velocity" will be smaller than 3·108 meters per second. In this problem the whole Universe plays the role of contracted rod. In fact, in our nature there are two types of measurable velocities. They are both real. Measurability must be comprehended here in the wider sense. "The error velocity" is as much physical, as "the correct velocity" is. As we will see bottom "the correct velocity" is the hyperbolic tangent of rapidity, the incorrect velocity in the hyperbolic sine of rapidity. The coefficient of contraction is the hyperbolic cosine of rapidity. And the rapidity is the third type of velocity, but this value is not measurable. Let's analyze all these types of velocities, but at first let's introduce their definitions: Coordinate time is the time measured by synchronized watches, dispersed everywhere in the coordinate system: t. Coordinate velocity is the ratio of passed distance to the interval of time, measured by synchronized watches, dispersed everywhere in the coordinate system: v=dr/dt; v=vxi+vyj+vzk. Proper time is the time, measured by the watch, connected with the moving object: t, dt=dt/g. Proper velocity is the ratio of passed distance to the time measured by the watch, connected with the moving object: b=dr/dt; b=bxi+byj+bzk. Proper velocity is not limited by the value of speed of light. The limit of proper velocity is infinity. The proper velocity of light is infinity. Speed is the absolute value of coordinate velocity. For example, speed of light is: c=299792458 m/s. v=|v|; v=sqr(vx2+vy2+vz2). In fact, the speedometer does not measure the absolute value of coordinate velocity, but it measures the value of proper velocity. Gamma is the coefficient of space contraction of the moving system, or time dilation in the moving system: g=1/sqr(1-v2/c2)=sqr(1+b2/c2). Coordinate and proper velocities can be expressed symmetrically through each other b = vg
= v/sqr(1-v2/c2); Rapidity parameter y and rapidity rVelocities v and b are not additive ones. The law of velocities addition looks like hyperbolic tangent of the sum of two angles. v = (v1+v2) / (1 + v1v2/c2),
That is why in the Special Relativity there were introduced two physical values: dimensionless parameter of rapidity y, and rapidity r with units of velocity. y=y1+y2;
Here are connections between v, b, g, y, r: v/c = thy = th(r/c); On the bottom figure one can see the graphs b/c=shy, v/c=thy, r/c=y.
Here are some another comprehensible formulae: y = r/c
= Arth(v/c) = (1/2)ln((1+v/c)/(1-v/c)), The low of addition of several equal coordinate velocities: v/c = thy = th(ny0) = th(nArth(v0/c)). For several parallel vi, but not equal to each other: v/c = th(Arth(v1/c)+Arth(v2/c)+Arth(v3/c)+...), The low of addition of two proper velocities: b = b1g2+b2g1,
The low of addition of several equal proper velocities: b/c=shy=sh(ny0)=sh(nArsh(b0/c)). For several parallel bi, but not equal to each other: b/c=sh(Arsh(b1/c)+Arsh(b2/c)+Arsh(b3/c)+...). Velocities can be also expressed though exponents: v/c = thy = (ey-e-y)/(ey+e-y), b/c = shy = (ey-e-y)/2, g = chy = (ey+e-y)/2. Let's try the formula g=sqr(1+b2/c2), using the known formula ch2y - sh2y = 1. g2 - b2/c2 = (1+b2/c2) - b2/c2 = 1. In the bottom sections we'll find the fourth, the most mysterious type of velocity, - the quantable velocity. Introduction of the quantable velocity explains why the electron is not a point particle, but it is a string, embracing the whole Universe at the the extremely short period of time, which is equal to the electrons classical period. Forward to part 2: Interval. Four-dimensional velocities. Types of acceleration. Four-accelerations. Relativistic rocket. Forward to part 3: Different forms of space-time transformations. Quantum velocities in Special Relativity. Program of moving electron. To index of Space Genetics.
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Extremely urgent note, 2009. Attention! Magnetic trap of Devil!There is a very big probability that magnetic trap will kill us all, if we will not stop powerful colliders. Magnetic trap is an object, unifying hypothetical objects, connected primarily by magnetic forces: neutron drop / liquid; neutron hole; magnetic hole ... It is probable that the microscopic magnetic trap can be created at the collider. Magnetic trap will grow capturing the normal substance. As a result, magnetic trap can destroy the Earth. Magnetic hole is a magnetic analog of the black hole. The black hole is bounded by gravitational forces, and the magnetic hole is bounded by magnetic forces, which are many-many times stronger than gravity forces. Magnetic hole is a magnetic dipole, in the form of a circle, where there is the critical magnetic field. The lines of magnetic induction are directed perpendicular to the plane of the circle. Nucleons are microscopic magnets, and they can be easily captured by the critical field of the hole. As a result the hole is growing. The approximate computation shows that the minimal possible magnetic hole, which can capture a nucleon, has a mass slightly more than one thousand masses of nucleons. The Tevatron collider is now working near this region (1 TeV). The Large Hadron Collider (LHC) will be able to create the particles with the rest mass, which are seven times more that the minimal possible mass of magnetic hole. According to publications, LHC will create microscopic black holes. Most theorists suggest that these black holes will disappear, because of the Hawking evaporation. However, we know that there are several theories of gravity. Some theories did not even admit the existence of black holes. In addition, there are several theories of black holes. Therefore, confidence in the classical theory of black holes and in a process of evaporation of black holes is very poor. For several years, some scientists argue and demand to ban the construction of powerful colliders. Among the known dangerous objects that may lead to global catastrophe are the following: microscopic black holes, strangelets, magnetic monopoles, vacuum bubbles. I learned about these disputes and concerns only in early September 2008. And then I immediately noticed that the objects, bounded by magnetic forces, were almost not analyzed. In early September, I assumed that the probability of a global catastrophe is less than 0.000001. However, after three months of analysis of the objects, bounded by magnetic forces, and after the analysis of space observations, my assessment of the global disaster has surpassed dozens of percents. Some theorists suggest that the Higgs bosons will be registered at the LHC. And, if these particles will not been found, the theorists would be very surprised; - this would prove that the Standard Model is wrong. Higgs boson had received a new name, "the God particle". We know that the most of particles have their corresponding antiparticles. So, if there is a particle of God, then there is a particle of Devil. Two colliding particles can give two more massive particles, - the particle and its antiparticle, for example, an electron and positron. By adding the colliding energy, we can get the God particle and its anti-particle, the magnetic trap of Devil. Particles and antiparticles have diametrically opposed properties. Indeed, the Higgs boson causes the ordinary matter to have a mass. But the magnetic hole captures the substance and transforms its rest mass-energy into another form of matter, - the magnetic field of the Devil's trap. Say me now, are we have the right to touch the particle of God? Microscopic magnetic holes created at the collider, will move to the center of the Earth, absorbing the matter in their path. Eventually they will merge together into a single and much stronger magnetic hole. The thin shell of the Earth, together with us, will be ejected into cosmic space, but the rest of the Earth will turn into an electric current loop of several meters radius. For comparison, the radius of a black hole of the same mass is 9 millimeters. Half of Earth’s mass will be transformed into magnetic field of neutron hole, and another half will be transformed into radiation and kinetic energy of the released shell. Magnetic hole will not decay if it was born in such cold place, as the collider, where the temperature is close to 0 K. If the magnetic hole is born in a collision of space particle with atmospheric particle, it has a speed, which is close to the speed of light. As a result, such magnetic hole will evaporate almost immediately as a result of energetic collisions with atmospheric particles. Such evaporating magnetic hole will form a cosmic-ray particle shower. Such showers are observable. Huge magnetic holes are also observable is cosmos.
In the remnants of supernova SN 1987A we can see a system of rings, which remind us the magnetic hole. It is possible that this magnetic hole is decaying now. It seems as if these rings embrace a hyperboloid. And now look at the electron, moving along two hyperboles in coordinates x, ict, in my electron model program. Each electron crosses the entire Universe in a period of time, which is equal to the classical period of the electron. This paradoxical conclusion is the consequence of the Special Relativity Theory. The ring structure of SN 1987A and our electron model have common visible properties. The Earth and the Sun can be turned into the same ring structure. Magnetic collapse is much more rapid than the gravity collapse. At the process of magnetic collapse the nucleon turns such, that its magnetic dipole moment becomes parallel to the magnetic dipole moment of a trap. Gravity collapse needs displacing of a matter inside the Schwarzschild radius. The time interval of neutrino registration at neutrino observatories had proved the reality of magnetic collapse of dying stars. Particle's collision energies and bombs: Several eV - chemical bomb; Chemical bomb is accompanied by the change of chemical
structure of matter. Scientific crime.Only crazy people can try to create the particles with the rest mass, more than 1000 nucleon masses. It is very possible that in the region from 1000 to 7000 aum, hundreds types of particles and resonances can be created. It is clear, that the most of them will decay. But some of them will grow, capturing the ordinary matter. Academician Migdal wrote 30 years ago about pion condensation in the strong fields. As a result he had come to conclusion that neutron stars can have any masses. My approximate computation also shows that the minimal possible neutron star can have a mass, about one thousand of nucleon masses. Such embryo of neutron star can by made in collider. Not long ago the new strange unexpected particle was discovered at the Tevatron collider. It decays at several muons, up to eight units. Somebody had already named it the Halloween particle. I named it the muon hole. What will be made the next? The magnetic trap of Devil? It will not decay, but it will transform us into its magnetic field. Majority of contemporary physicists imagine quark-gluon plasma as a suck with peas. That is a very dangerous imagination. Particles are not points with labels, where their quantum properties were written. Particles are not the material essences, independent of space-time; they are just space-time elements, strings. Dear reader, the situation is extremely serious. The physics now is in the deep crisis. Theorists, in order to save their religious Big Bang theory, invented “the dark energy" as a new either. They want now to test their wretched theories at the powerful Large Hadron Collider. Those persons, with high ranks and high scientific degrees, who cry about the safety of LHC, had already made a crime now. The LHC was launched despite the fact that there were court trials. The Earth could be exploded the 21 of September 2008, but the accident, which had happened two days earlier, had saved us. Scientists-criminals must be punished. But they continue to lie about the safety of the LHC, and are preparing the global terrorist crime now. Dear reader! Big Bang adherents can lead the Earth to the utter destruction. Particle collisions with the energy more then 1 TeV must be prohibited by the international law. The science must be cleared from the Big Bang delusion. Big-bangers want to touch the particle of God, but thus, they lead us into the magnetic trap of Devil. People, will you silently endure the massacre? Some documents and links. In November 2008, I arrived to Moscow in order to file a lawsuit against the Russian Academy of Sciences and against the most active propagandists/promoters of the LHC launch. Unfortunately, for lack of funds, I still (February 2009) can not to do it. In late November at the "meeting of four" there was decided to hear my report "What will LHC give us, the particle of God, or magnetic trap of Devil?" at a workshop in one of the leading institutions of Moscow. But later, I received a "retreat" from this institution In December, I sent the Letter to the President of Russia. In January, I received an answer in which it was stated that my letter was forwarded to the Russian Academy of Sciences. In December, I sent the Letters to the Prosecutors Office of the Russian Federation. Soon after, I received the answer stating that my letter "was sent for review in the prescribed manner". In the end of January I returned to Feodosia (Ukraine) and continued to inform about the risks of the global catastrophe. You can read some letters, which were send to the Google groups, - just click my Google-profile. Reproduction of biospheres and civilizations. Who are you, dear reader: "a cell of good reason", "a curiosity cell", or "thoughtless muscular cell"? Magnetic trap of Devil. Recent calculations show that it is not excluded that microscopic magnetic traps were already created, and they are growing now somewhere inside the Earth. Arguments, proving that "The LHC will lead to global catastrophe"; "Magnetic holes exist"; "We will not be able to prevent the LHC launch and the following global catastrophe". Religious and mystic arguments. Read the frequently updated page The end of Extremely urgent note, 2009. |
