Dear Sir,
Special Relativity is not only conceptually, but also mathematically wrong. This is what Einstein describes in his 30-06-1905 paper "On the Electrodynamics of Moving Bodies":
Einstein: We assume that this definition of synchronism is free from contradictions, and possible for any number of points; and that the following relations are universally valid:
5. If the clock at B synchronizes with the clock at A, the clock at A synchronizes with the clock at B.
6. If the clock at A synchronizes with the clock at B and also with the clock at C, the clocks at B and C also synchronize with each other.
Our comments: Here clock at A is the privileged frame of reference. Yet, he tells the opposite by denying any privileged frame of reference. Further, his description of the length measurement is faulty. Here we quote from his paper and offer our views.
Einstein: Let there be given a stationary rigid rod; and let its length be l as measured by a measuring-rod which is also stationary. We now imagine the axis of the rod lying along the axis of x of the stationary system of co-ordinates, and that a uniform motion of parallel translation with velocity v along the axis of x in the direction of increasing x is then imparted to the rod. We now inquire as to the length of the moving rod, and imagine its length to be ascertained by the following two operations:-
(a) The observer moves together with the given measuring-rod and the rod to be measured, and measures the length of the rod directly by superposing the measuring-rod, in just the same way as if all three were at rest.
(b) By means of stationary clocks set up in the stationary system and synchronizing in accordance with §1, the observer ascertains at what points of the stationary system the two ends of the rod to be measured are located at a definite time. The distance between these two points, measured by the measuring-rod already employed, which in this case is at rest, is also a length which may be designated "the length of the rod".
In accordance with the principle of relativity the length to be discovered by the operation (a) - we will call it the length of the rod in the moving system - must be equal to the length l of the stationary rod.
The length to be discovered by the operation (b) we will call "the length of the (moving) rod in the stationary system". This we shall determine on the basis of our two principles, and we shall find that it differs from l.
Our comments: The method described at (b) is impossible to measure by the principles described by Einstein himself. Elsewhere he has described two frames: one fixed and one moving along it. First the length of the moving rod is measured in the stationary system against the backdrop of the fixed frame and then the length is measured at a different epoch in a similar way in units of velocity of light. We can do this only in two ways, out of which one is the same as (a). Alternatively, we take a photograph of the rod against the backdrop of the fixed frame and then measure its length in units of velocity of light or any other unit. But the picture will not give a correct reading due to two reasons:
• If the length of the rod is small or velocity is small, then length contraction will not be perceptible according to the formula given by Einstein.
• If the length of the rod is big or velocity is comparable to that of light, then light from different points of the rod will take different times to reach the camera and the picture we get will be distorted due to the Doppler shift of different points of the rod. Thus, there is only one way of measuring the length of the rod as in (a).
Here we are reminded of an anecdote related to Sir Arthur Eddington. Once he directed two of his students to measure the wave-length of light precisely. Both students returned with different results - one resembling the accepted value and the other different. Upon enquiry, the student replied that he had also come up with the same result as the other, but since everything including the Earth and the scale on it is moving, he applied length contraction to the scale treating Betelgeuse as a reference point. This changed the result. Eddington told him to follow the operation as at (a) above and recalculate the wave-length of light again without any reference to Betelgeuse. After sometime, both the students returned to tell that the wave-length of light is infinite. To a surprised Eddington they explained that since the scale is moving with light, its length would shrink to zero. Hence it will require an infinite number of scales to measure the wave-length of light.
Some scientists try to overcome this difficulty by pointing out that length contraction occurs only in the direction of travel. If we hold the rod in a transverse direction to the direction of travel, then there will be no length contraction for the rod. But we fail to understand how the length can be measured by holding it in a transverse direction to the direction of travel. If the light path is also transverse to the direction of motion, then the terms c+v and c-v vanish from the equation making the entire theory redundant. If the observer moves together with the given measuring-rod and the rod to be measured, and measures the length of the rod directly by superposing the measuring-rod while moving with it, he will not find any difference what-so-ever. Thus, the views of Einstein are contrary to observation.
His "mathematics" using the equation for the sphere is all wrong. For example, he has used equations x^2+y^2+z^2-c^2t^2 = 0 and ξ^2 + η^2 + ζ^2 - c^2 τ^2 = 0 to describe two spheres that the observers see of the evolution of the same light pulse. Apart from the fact that the above equation of the sphere is mathematically wrong (it describes a sphere with the center at origin, whose z-axis is zero, i.e., not a sphere, but a circle), it also shows how the same treats time differently. Since general equation of sphere is supposed to be x^2+y^2+z^2+Dx+Ey+Fz+G = 0, both the equations can at best describe two spheres with origin at (0,0,0) and the points (x,y,z) and (ξ, η, ζ ) on the circumference of the respective spheres. Since the second person is moving away from the origin, the second equation is not applicable in his case. Assuming he sees the same sphere, he should know its origin (because he has already seen it, otherwise he will not know that it is the same light pulse. In the later case there is no way to correlate both pulses) and its present location. In other words, he will measure the same radius as the other person, implying: c^2t^2 = c^2 τ^2 or t = τ.
Again, if x^2+y^2+z^2-c^2t^2 = x'^2+y'^2+z'^2-c^2 τ ^2, t ≠ τ.
This creates a contradiction, which invalidates his mathematics.
According to our theory, gravity is a composite force of seven forces that are generated based on their charge. Thus, they are related to charge interactions. But we do not accept Coulomb's law. We have a different theory for it. We derive it from fundamental principles. In Coulomb's law, F = k Q1 x Q2 /d^2. In a charge neutral object, either Q1 or Q2 will be zero reducing the whole equation to zero. This implies that no interaction is possible between a charged object and a charge neutral object. But this is contrary to experience. Hence the format of Coulomb's law is wrong.
As we have repeatedly described, the atoms can be stable only when they are slightly negatively charged which makes the force directed towards the nucleus dominate the opposite force, but is not apparent from outside. Hence we do not experience it. We have theoretically derived the value of the electric charge of protons, neutrons and electrons as +10/11, -1/11 and -1. The negative sign indicates that the net force is directed towards the nucleus. Charge interaction takes place when a particle tries to attain equilibrium by coupling with another particle having similar charge. The proton has +10/11 charge means it is deficient in -1/11 charge. The general principle is same charge attracts. Thus, it interacts with the negative charge of electrons. The resultant hydrogen atom has a net charge of -1/11. Thus, it is highly reactionary. This -1/11 charge interacts with that of the neutron to form stable particles. These interactions can be of four types.
Positive + positive = explosive. By this, what we mean is the fusion reaction that leads to unleashing of huge amounts of energy. It's opposite is also true in the case of fission, but since it is reduction, there is less energy release.
Positive + negative (total interaction) = internally creative (increased atomic number.) This means that if one proton and one electron is added to the atom, the atomic number goes up.
Positive + negative (partial interaction) = externally creative (becomes an ion.) This means that if one proton or one electron is added to the atom, the atom becomes ionic.
Negative + negative = no reaction. What it actually means is that though there will be no reaction between the two negatively charged particles; they will appear to repel each other as their nature is confinement. Like two pots that confine water cannot occupy the same place and if one is placed near another with some areas overlapping, then both repel each other. This is shown in the "Wheeler's Aharonov-Bohm experiment".
The Kaluza-Klein compactification and other "theories" relating to extra-dimensions are only figments of imagination. The term dimension is applied to solids that have fixed spread in a given direction based on their internal arrangement independent of external factors. For perception of the spread of the object, the electromagnetic radiation emitted by the object must interact with that of our eyes. Since electric and magnetic fields move perpendicular to each other and both are perpendicular to the direction of motion, we can perceive the spread only in these three directions. Measuring the spread is essentially measuring the space occupied by it. This measurement can be done only with reference to some external frame of reference. For the above reason, we use axes that are perpendicular to each other and term these as x-y-z coordinates (length-breadth-height). These are not absolute terms, but are related to the order of placement of the object in the coordinate system of the field in which the object is placed. Thus, they remain invariant under mutual transformation. If we rotate the object so that x-axis changes to y-axis or z-axis, there is no effect on the structure (spread) of the object. Based on the positive and negative (spreading out and contracting in) directions from the origin, these describe six unique positions (x,0,0), (-x,0,0), (0,y,0), (0,-y,0), (0,0,z), (0,0,-z), that remain invariant under mutual transformation. Besides these, there are four more unique positions, namely (x, y), (-x, y), (-x, -y) and (x, -y) where x = y for any value of x and y, which also remain invariant under mutual transformation. These are the ten dimensions and not the so-called mathematical structures.
Regards,
basudeba