Before defining four dimensional Lorentz Coordinate transformation and before publishing the special theory of relativity by A. Einstein in 1905, three dimensional reference frame was the most usual way to refer the space system of the universe by its geometric (spatial) coordinates x, y, z only. But for complete description on all mechanical events, to occur inside the same system really, three dimensional spatial frame is not sufficient. In order to consider ‘Simultaneity’ among various events, really occurring at different spaces, their intervening spaces as well as time of occurrence must be accounted as according to the evidence made in the special theory of Relativity, on simultaneity. Simultaneity is the basis of the theory of relativity that may fit so-expected complete description. ‘Two synchronized events (i.e. events occurring at the same time) situating at different spaces, can not be seemed as occurring simultaneous in spaces as well as time concepts by an observer belonging to the site of one event’-this crucial fact had been neglected in Newtonian mechanics; considering ‘time’ as absolute parameter, and that it can not be originated (linked) to the spatial coordinate origin. In fact to account simultaneity of mechanical events, four dimensional reference frame should be defined to refer the system of world events. In which ‘time’ axis must be linked to the Cartesian (i.e. three dimensional) spatial coordinate origin as the fourth additional axis, what may, however, be oriented each axis normal to other axes in the imaginary sense.
In chapter (2) we discussed that, ‘Parallax Error’ is committed due to the common relativistic inability by some inertially moving observer that the observer can not judge accurately two non local simultaneous (in time concept) events occurring whether simultaneously or not being at the site of one event. For committing ‘Parallax Error’ he has to observe parallel and anti parallel hypothetical motions of distal and proximal objects, respectively, of the same enormous rest frame. Even the observer include the mass of particular distal object of that enormous rest frame into the real mass of his moving frame for committing the same error. This is nothing but the relativistically increased imaginary mass. In chapters 6, 7 and 8 we proved that the relativistically increased mass (as the mass of moving frame is to increase with increasing its relative velocity) is nothing but the motion inertia of moving frame. While discussing the manner and nature of increasing relativistic mass, at the end of chap. 8, we showed this motion inertia on the other hand is equivalent to the mass of a particular distal object on which inertially moving observer fixes his observation. Thus the right comprehension on the manner of increasing relativistic mass is hidden in the idea of simultaneity.
However the light signal is used to decide whether the occurrence of various events is simultaneous or not. The speed of light is the maximum speed constant and it is the measure of intervening space as well as time among these events. Although A. Einstein asserts about the extremum speed constancy of light speed in his 2nd postulate of the special theory of relativity, he did not deal directly about any other properties of light in the 1st postulate. Nevertheless, the 1st postulate is in general, about the equivalency of Phenomenon of physics occurring at various inertial reference frame. The wave property of light is the most debated obvious phenomenon of physics. In accordance of this postulate, light should propagate into wave form even through the vacuum space, because the space adjacent to the Earth belongs to an inertial reference frame. No matter, that may be vacuum. But the wave-propagation through vacuum space is quite contradictory to wave mechanism that the mechanical wave can not pass through any space that is without medium. Inspite of the experimental evidence made on the null existence of hypothetically considered ‘ether’ medium through out standing space of the Earth, deduced by Michelson and Morley in 1887, Einstein dared to publish his special theory containing these universal postulates in 1905. Even he mentioned neither their names nor their experiment. Perhaps, he believed more strongly on the evidence made on light in terms the theory of electrodynamics than on the evidence made for the existence of ether experimentally. Einstein might classify light as a special travelling wave as was assured by the grand Clark Maxwell theoretically. Because there was made an overwhelming unification between Maxwell’s theoretical value of light speed and that deduced experimentally very long ago. Yet the nature of light – whether wave or particle or de-Broglies particle (photon) wave — could be distinguished with confirmations even in accordance with the noble tropics i.e. the theory of relativity, if the manner of increasing relativistic mass (chap.8) – whether really or in the imaginary senses – could be realized at that early stage of modern physics.
Let us know apply the creative idea of imaginary mass (relativistically extended) on some moving electron through the realm of atomic world. The light is one kind electro-magnetic radiation. According to the theory of electrodynamics, the origin of all kind electro-magnetic radiations is inside the atomic world, where the acceleration as well as retardation of any charged elementary particle gives so-called radiation. Therefor in order to investigate the nature of light we have to picture the perfect trajectory for that moving electron inside atomic world in accordance with the creative idea of imaginary mass. Here we shall consider a moving electron that moves under acceleration along a particular direction through that atomic world. The path for such electronic movement along that direction may be regarded as some conductor carrying electric current even through the atomic realm, and the moving electron of our interest as its charge-carrier itself. The electric current through that hypothetical conductor should of course be relativistic in order that moving electron acquires some imaginary additional mass as well as charge relativistically moving in some relativistic speed ‘v’ rather than the classical one(since ‘v’ tends to be equal to the speed of light ‘c’ for that radiating-moving electron of our interest through that atomic realm). Because each distal (non-local rest) electron, moving hypothetically in parallel motion, contributes to its additional charges individually in the similar manner in which they contribute to its relativistically increased additional imaginary mass. Note that, we are introducing again the term distal. Here the significance of this term is that, the size of the atomic world in comparison to size of an electron, is almost infinitely enormous. In which the non-local rest electron may be consider situating at such infinitely distant edge of the same atomic world.
However the expression for the relativistic current should be relativistic time derivative of realistic charge of that moving single electron of our interest in which relativistically increased additional imaginary charges of distal similar charge carriers will be accounted through the factor coming from the relativistic time expression:
The relativistic current is therefore
Here q is the realistic charge i.e. rest charge of moving electron of our interest.
Substituting eqs.(1) into (2) we have
such that ——————-(4)
Here is the current without relativistic consideration, constituted by the single moving electron of our interest.
It is mentionable here that according to eq.(3) relativistic current I increase with relative velocity v of the moving electron of our interest. Since, there is no any other electron moving behind or before the moving electron of our interest, how can the current I being constituted by the movement of that single electron be increased with its relative velocity v through the same hypothetical conductor? In the real sense, however, this current can not increase with relative velocity of that single electron. Nevertheless the relativistic current I given by eq.(3) may increase in the imaginary sense that single moving electron of our interest, as an inertially moving observer, may consider distal charge carriers (of other rest frame in parallel hypothetical motion) following along with it by a cross section of that hypothetical conductor. The more is the relative velocity v of our moving electron, the more is the hypothetically considered cross sectional area, the more is the no. of these distal carriers following by and hence the more is the relativistic current I.
It is matter of fact that when the moving electron of our interest under acceleration attains almost the speed of light its relativistically incremental imaginary current is to be the major part of the relativistic current I. What is solely responsible for the inherent electro-magnetic stresses to be stressed even on our moving electron. In order to account the magnetic stress, at first, we introduce here Ampere’s law for the hypothetically considered conductor carrying relativistic current I. For the cylindrical space of that hypothetical conductor, Ampere’s law may be given by,
Since I, on the R. H. S. on the eq,(5) is relativistic, B should be relativistic field of magnetic induction. The relativistic parameter B is effective even inside and outside that hypothetical conductor of our interest. Here r is the radius of any circular cross section of the same cylindrical space. The radius r is the minimum cross sectional distance from the axial line (along permanent direction for our moving electron of interest) at which a particular distal charge carrier shows perfect parallel hypothetical motion even in least. Hence r is proportional to v, the relative velocity of really moving electron of our interest. In other words, the volume of cylindrical space is proportional to the velocity v.
substituting expression (3) for the relativistic current I into eq.(5) we arrive with
According to above relativistic expression, when v tends to ‘0’ i.e. when v is the classical velocity, then B tends to where in is the magnetic field of induction without relativistic consideration. In other words, is the real Oerestedian magnetic field of induction that is to induce through outstanding space around a cylindrical conductor carrying the real current and not inside that conductor materials. However the relativistically increased imaginary part of the relativistic B, as to increase with relative velocity v according to eq.(6), is to be induced even through every where the internal space of so-called hypothetical conductor with cross sectional radius r.
Fig.1(a) Conductor CD carrying real current and hypothetical conductor carrying relativistic current I.
(b) Two dimensional projection of magnetic lines of force inside these conductors.
(c) The moving electron of our interest is under transverse vibration due to the interaction of relativistic induction B of magnetic field on itself.
The lines of force due to the additional imaginary part of the relativistic induction B may be pictured as in the fig. 1(a) inside the conductor CD carrying the realistic current the really moving electron of our interest moves upward. Hence the realistic current and the relativistic current I, (carried through the hypothetical conductor ) must be noted downward. The conductor CD with realistic current is shown by solid drawing and hypothetical conductor with relativistic current I is shown by dashed line in fig. 1(a) . The circles with arrows represent the lines of force of magnetic induction due to the additional imaginary part of the relativistic current I. The two dimensional projection of these lines, inside and outside the conductor CD and only inside the conductor is shown in fig.1(b). Crosses ‘(×)’ represent the arrow-tails i.e. inward into the page direction, whereas the dots ‘(.)’ represent the arrow-head i.e. the outward from the page direction. Line of magnetic forces have been directed in accordance with Fleming’s Right Hand Rule.
Now we can draw the most accurate trajectory for our moving electron of interest through the realm of atomic world. We can draw that trajectory in accordance with relativistic theory of electromagnetism. For the relativistic consideration i.e. for the interaction on the moving electron of our interest by the additional imaginary part of the relativistic magnetic field B, it can no more retain its linear motion straight along its initial path of movement CD. Let the relay moving electron of our interest has been subjected, some how, into the cross-directed field region, shown in fig. 1(c). It will circulate in clockwise direction while moving along CD through the same field region. After traversing a half wave trajectory through the cross directed region, it enters into the dot directed field region crossing the axial boundary CD. Here it will circulate in anti-clockwise direction accordingly. Traversing another half wave trajectory through the dot directed field region it will enter into the cross-directed field region again and so on. Thus it may be seemed to us that really moving electron has been subjected into transverse vibration during its movement along its permanent direction CD. Though it is obvious that such vibratory motion of our moving electron along its permanent direction CD is due to interaction of relativistically increased imaginary magnetic induction B on it, it may also be seemed to us that some alternating electric field would have been applied in transverse to CD direction.
Fig. 2 The two dimensional electro-magnetic field assemblies. The virtual electric field vectors and point lying on the page plane. Whereas the factual magnetic field vectors and point normal to the page plane.
For which the moving electron is subjected into the same vibratory motion. Such electric field must be virtual in the senses that it may merely be pictured as in fig. 2 by imagination on the two dimensional projection of the vibratory electronic movement along the permanent direction CD. And such electronic movement occur infact due to magnetic field (relativistically increased) interaction, not due to any electric field interaction in reality. Note that, as shown in the two dimensional projection (fig.2) the electric and magnetic fields are mutually at right angle, one to other. Not only that, both the electric and magnetic field stresses are momentarily effective on our moving electron of interest according to its position on the left or right of CD where in each field is directed in mutually opposite directions, respectively. Hence virtual electric and factual magnetic fields may be regarded together as the alternating electro-magnetic field assemblies.
Fig. 3 The three dimensional or helix wave trajectory for moving electron e of our interest.
Moreover, for such joint electromagnetic stresses on the moving electron it will proceed outward the radiating atom along the three dimensional wave trajectory (fig.3) i.e. along some helix shaped trajectory. While proceeding outward the radiating atom, if the moving electron of our interest faces some encounter at the nuclear or some atomic boundary, it must be retarded remarkably. Hence then its relativistically increased imaginary mass as well as charges i.e. its motion inertial mass as well as charges will move front further along the same helix shaped wave trajectory but with reversed field mechanism. So called imaginary mass as well as charges moves front further leaving the real entity of our moving electron with the actual mass and charges q . This is the electromagnetic radiation. The relativistically increased motion inertial mass as well as charges along with the corresponding electromagnetic field assemblies constitute the quantum of so-called radiation. The quantum of all kind electromagnetic radiation is entitled as ‘Photon’.
This is the perfect origin for all kind electromagnetic radiation inside the realm of the radiating atom. What was hidden in the mystery of theoretical explanation on the macroscopic outstanding and the microscopic atomic space-time in terms the Comprehensive Theory of Relativity so far the today’s modern physics. The newly proposed Comprehensive Theory of Relativity by me is with too much deep significance and evidences. Because it has been fitted in terms the simultaneity of occurring physical events under the scientific philosophical considerations of some inertially moving observer and in whose considerations simultaneity of parallel hypothetical motions of distal objects is accounted in relative to the anti-parallel hypothetical motions of local objects. Therefore even the inertially moving single electronic entity of our interest can acquire relativistically increased imaginary mass as well as charges.
There should not be any more debates remaining further in the nature of light; whether it is particles (photons), nor wave nor some times particles and other time wave, after the reader being under our so long discussion discussed above. These questions, debates and any other contradictory concepts about the nature of light has been resolved in the long discussions of this chapter. Thus our conclusion about the nature of light is electro-magnetic wave as well as particle (photon) jointly i.e. simultaneously, in which Photon just play the roles of particles traversing through the inherent electro-magnetic wave trajectory of the radiating moving electron of our interest through the atomic realm.