[Added May 27, 2012]
Finally I finished reading the following book, and I finally understood Maxwell’s triumph, as well as the Maxwell’s equations.
Amazon.com: A Student’s Guide to Maxwell’s Equations …
These equations started the era from which Quantum Mechanics emerged. This is one of the greatest triumph of mathematics, which revealed the electromagnetic nature of light. This is what inspired Einstein. It has carried forward the bastion of theoretical physics.
A change in electric field produces the magnetic field. A change in magnetic field produces the electric field. If a wave is created out of electric field, the wave of magnetic field is produced naturally along with it. The “up and down” of a wave seems to be replaced by electric and magnetic fields.
Here we seem to be looking at the disturbance in space itself. Disturbance in one direction appears as an Electric Field. Disturbance in opposite direction appears as a magnetic field. When space is disturbed in one direction, conditions set in immediately to restore it back to equilibrium, but then it overshoots the point of equilibrium and then the disturbance occurs in the opposite direction. And so it continues. This disturbance propagates in space as the electromagnetic wave.
But what causes the disturbance to start with, because the energy of the initial disturbance seems to be conserved as this wave. It is interesting to note that charge and current are to be made zero to arrive at the electromagnetic wave equation from Maxwell’s equations. I would now say that energy is not a condensation of space, instead it appears that
Energy is an excitation that is conserved in space.
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[Added March 4, 2012]
Per Maxwell’s Equation #3, a changing magnetic field induces a circulating electric field. It is as if “charges” are fixed in space somehow by the magnetic field. When the magnetic field changes relative to a circuit then the “charges” coinciding with that circuit seem to move along that circuit in such a way so as not to appear affected by relative changes between the circuit and the magnetic field. This motion of “charges” may appear as the electric field. When we imagine paths in space in terms of vectors, then we find that a change in magnetic field forces the “points in space” to move relative to those paths, and the motion of these “points in space” appears as the electric field. Furthermore, the motion of these “points in space” is such as to minimize the net effect of change. The magnetic and electric fields appear to be two different frames of references from which to look at the points in space. From the magnetic frame of reference a point may appear static, but the same point may appear to be kinetic (in motion) from the electric frame of reference. These two frames may switch back and forth, while the points maintain their position as if subjected to some kind of inertia. This is just a conjecture toward imagining a structure to space itself. The electromagnetic phenomenon may itself provide a structure to space. The questions that arise are: (1) Do the space and electromagnetic phenomenon go hand in hand? (2) Will there still be space in a region if the electromagnetic phenomenon does not exist there?
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[Added March 3, 2012]
It is fascinating to observe from Maxwell’s equation #3 that there are two types of electric fields. Both types of electric fields accelerate electric charges, both have the same units, and both can be presented by field lines. But charge-based electric fields have field lines that originate on positive charge and terminate on negative charge (and thus have non-zero divergence at these those points), while induced electric fields produced by changing magnetic fields have field lines that loop back on themselves, with no points of origination or termination (and thus have zero divergence). The induced electric field is directed so as to drive an electric current that produces magnetic flux that opposes the change in flux due to the changing magnetic field. This seems to point toward a very fundamental form of inertia, or to a tendency toward some sort of equilibrium. A point charge seems to represent some sort of a stopped flow that builds up at negative charge and empties out at the positive charge. Thus, the presence of a positive-negative pair of charge seems to represent a flow buildup that is frozen in place by some kind of “electrical” pressure. This “pressure” has to be maintained somehow. A changing magnetic field usually provides such “pressure.” The questions that arise are: (1) What separates a negative charge from the corresponding positive charge? (2) How is this separation maintained in free space?
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[Added February 26, 2012]
Maxwell’s equation #1 acknowledges that sources and sinks are present in Electric fields. It means that there are positive and negative electrical charges. Thus, the electric field diverging out from a source (positive charge) may indicate de-condensing of the charge. The electric field diverging into a sink (negative charge) may indicate condensing of the charge. Maxwell’s equation #2 tells us that there are no sources and sinks connected with magnetic fields. Thus, magnetic fields do not condense or de-condense into “particles” as electrical fields do. Magnetic field comes about only when an electrical charge is moving. Thus, one may say that the magnetic field is a kinetic aspect of an electrical field. An electric field not only condenses and de-condenses, but it also shifts those points of condensation and de-condensation. This seems to be somehow connected with the structure of space.
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[Added February 13, 2012]
On Permittivity (Ɛ): (1) The smaller is the permittivity, the more is the electric flux that is generated in a medium from a unit charge. (2) Permittivity of free space seems to be the lowest. (3) Therefore, maximum electric flux is generated in free space from a unit charge. (4) Storage capacity for charge at a location in free space is the lowest. (5) If the charge is not stored in free space then it spreads out as electromagnetic wave (conjecture). So, the smaller is the permittivity of space the faster would seem to be the speed of light.
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[The original post]
It has been my conjecture for some time that
ENERGY IS CONDENSATION OF SPACE.
This is simply a starting point. I believe that even if “condensation” is not the right word, there is definitely a fundamental relationship between space and energy. Looking at Maxwell Equation #1 (Gauss’s law for electric field), the electric field lines seem to emerge from a positive charge and terminate at a negative charge. This electric flux is directly proportional to the charge it originates from and terminates into. The proportionality factor is constant for free space. It is called the permittivity of free space. It is a factor that also contributes to the constant speed of light. This permittivity seems to point to some fundamental property related to space. Could this permittivity of free space be regarded as a factor by which the electric flux in free space condenses into a point charge? I don’t know; but it is fun to look at it that way. Maybe space itself could be defined as some sort of flux. There is no aether that fills the space. Maybe space itself is that elusive aether. There may not be any aether, but space is definitely there. Anyway, this area interests me greatly and I shall be working on it. I just thought that I shall put this conjecture in the open. . NOTE: I am currently studying the following book:
Amazon.com: A Student’s Guide to Maxwell’s Equations …
Also see: Wikipedia: Maxwell’s Equations .
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