DIRECT RELATIVITY

In order to progress further with my theory of quantum gravity, I must first reveal to you the principles of Direct Relativity. Direct Relativity deals with how the laws of physics behave in respect to a body traveling faster than the speed of light. It then uses these same principles to investigate the fractal nature of space-time, and to observe some unusual consequences at and beyond the Plank Limit. Following the discovery of a close association between my work and Laurent Nottale's Scale Relativity, I decided that there must be more to the theory that needed close attention. I began with looking at the concept of space-time being fractal at the quantum limit of the plank scale (as previously stated by Nottale) and tried to unify this concept with Einstein's Theory of Relativity.

What happens to an object traveling faster than light (FTL)?

One thing that struck me from my research into Relativity, is the comparative lack of work done into what happens to an object's subjective experience of time at speeds exceeding that of the speed of light. The rationale behind this comparative dearth of information stems from one of the tenets of Relativity itself; i.e. objects of appreciable mass cannot even reach that of the speed of light, let alone exceed it. With the recent discovery of neutrinos traveling just beyond the speed of light, physicists are being forced to rethink this assertion, but it is generally accepted that if an object were to travel faster than light it would necessarily be traveling backwards in time. However, this assumption cannot be derived from any of Einstein's mathematical proofs. For instance, when we try to input speeds in excess of 'c' into Einstein's equations for time dilation, we invariably get the square root of a minus number, which is imaginary. Being an imaginary number it is accepted that physicists have no idea what this number actually represents in reality.

Graphic Source;
http://www.physlink.com/education/askexperts/ae283.cfm

One place where imaginary numbers do find application is in the area of fractals; like those of Mandelbroit. For this reason, a graph depicting the change in the rate of the flow of time with regard to an objects acceleration is (to some degree) a fractal graph. Fractals are geometric objects - albeit of a very special kind, having no absolute scale. In order to unify them with relativistic principles of time dilation, over all possible accelerations in 4-dimensional space-time, we would have to think of these varying accelerations as representing one complete geometric form in space-time i.e. a fractal form.

The length contraction which objects undergo when approaching light-speed is a fore-shortening produced by its rotation into the unobservable 4th dimension. When an object is coasting along at the speed of light, this contraction; known as a Lorentz transformation, reaches zero, meaning that the object has rotated fully 90 degrees with respect to our 3-dimensional spacial reality and is now directly traveling in the 4th dimension of time. Logically, when an object travels FTL its rotation with respect to our universe would increase further still, literally turning the object, and the universe around it inside out! If the object were an egg, for example, the entire universe would now be contained with in the bounds of the egg, and the egg itself would fill the entire universe! This exact same effect can be observed when viewing visualizations of rotating hypercubes, where the inner cube will deform and literally appear to turn itself inside-out. It should be noted, however, that these visualizations expressly deal with projections of hypercubes into 3D space, and therefore neglect to show the results of such a rotation on a 3D manifold/slice of a 4D tesseract, which to our eyes would look just like a cube.

To address this imbalance, I will attempt to describe what such a rotation would look like to our eyes. If an object rotating in 4-dimensional space-time is equivalent to one accelerating towards the speed of light, then we can expect our cube to undergo a runaway acceleration as it is being rotated. By the time it reaches the speed of light, it will have turned a full 90º to each of the x, y, and z coordinates of 3D space, and should almost completely vanish from sight. Rotating the cube a further 90º (a total of 180º) should accelerate it to twice the speed of light, completely turning the object inside out, with the added result of it vanishing from our universe altogether.

If this were the case, I would have no other choice but to concede that the object had traveled into the past. Remember that the Lorentz transformation is the result of a foreshortening of an object into the fourth dimension of time. If we consider this dimension to be at right angles to all 3 Cartesian axes, then we could not expect the Lorentz transformation to be observable in our universe. The idea that such a transformation would be observable suggests to me the possibility that an object traveling FTL will begin to undergo an inverse expansion, and thereby become visible in our universe; following the initial length contraction of light speed. This raises some interesting questions such as; What physical properties might you expect to emerge from an object undergoing such an extreme rotation through 4-dimensional space, which is energetically equivalent to it traveling at twice the speed of light?

Relativists have always assumed that any object or particle traveling faster than the speed of light must lose mass. However, measurements taken of neutrinos traveling more than light-speed have revealed no such mass reduction. An explanation for why this may occur is derived from the proposed (above) law of  inverse expansion. When an object is accelerating, energy must be put into drive this acceleration. According to Einstein's Theory of Relativity this increase in energy corresponds to a geometric increase in the object's mass. Furthermore, this mass increase must be proportional to the over-all length contraction. When an object begins to exceed the speed of light (as in the case of the neutrino), we can imagine that its mass continues to increase, while its length begins to undergo an inverse expansion. Since length contraction and increased mass are proportional at speeds approaching that of light, we might find that the universe has difficulty reconciling the resultant disparity of an object undergoing mass increase and expansion, at super-luminal speeds. It is my speculative belief, therefore, that the inverse expansion cancels out the predicted mass increase; meaning the overall mass of the object remains constant. This single concept may be the mechanism that lies behind the constant mass observed by physicists in the Cern/Opera Neutrino discovery.

Direct Relativity (DR)

So far we have only discussed the relationship between length contraction and acceleration. However, it should be possible for an object to undergo a Lorentzian length contraction without undergoing any acceleration. I suspect, for this to occur, the rotational force would have to be applied upon the entire object by a higher-dimensional energy source, and not from any force generated in this plane of reality.

The inability of the universe to differentiate between certain key aspects of the Theory of Relativity at super-luminal speeds should also be observed at very small scales; for example the Plank Limit. The Plank Scale is the lower limit of length in the universe, these are quanta of space which are so small as to be only divested of two dimensions. It is my belief that these innumerable two dimensional quanta are in fact the boundary planes of an equally large number of hyper-dimensional objects; and therefore of a separate, parallel universe. For the sake of argument I will make these objects tesseracts, as these are the most commonly known and easiest to visualize. But, remember these are not the so-called 3D projections of 4D objects that we are so accustomed to seeing in books and videos on the subject. The quanta I will be referring to are rather 3D manifolds embedded in our reality.

Each of our 3D manifold cubes consist of 144,000 quanta stacked together (this number was chosen to show that they are finite in size, and therefore very small). As these cubes rotate in 4-dimensional space, their different faces will either appear to be contracting or expanding - depending on their degree of rotation with respect to space-time. But, because an ordinary cube of space is symmetrically speaking (and every other way) equivalent to one undergoing an inverse Lorentzian transformation, the universe will treat both objects as having the same mean energy ratio. Obviously, this is also true of cubes which are either expanding or contracting, for if a cube is undergoing a contraction it could either be (energetically speaking) accelerating towards the speed of light, or decelerating from twice the speed of light down to light-speed. Conversely, a cube of space which is expanding could either be, energetically speaking, decelerating from the speed of light or accelerating beyond it. The matter becomes even more intractable, however, because all of the cubes are made of a potentially infinite number of 2D quanta (see; differential equations), and therefore, any distinction between where one cube might end and another begins is entirely arbitrary. Nevertheless, distinctions are part of human life and, all things being equal, one distinction is as good as another. 

The blue line in this graph shows an object steadily accelerating towards the speed of light. The green line shows one decelerating from the speed of light to zero. The two velocities mean values are represented by the red line, to show that they are ultimately a steady state system.

The point of all this is that; space, at the down to the Plank Scale must have a constant, steady level of energy, as determined by the inverse law of expansion, and that all of this energy, must in some way be derived by the interaction of our Universe with that of a parallel Universe that exists just beyond the boundary mark of the Plank Scale. The cubes are contracting into, and expanding out of this dimension (the 4th dimension of Einstein) like a kaleidoscope. A kaleidoscope only gives you a beautiful and symmetric view of the world, but nevertheless it is fractured and incomplete. In order to see the entire universe on this scale we would need to view it with 4/5 dimensional eyes. 


Direct Relativity suggests that space is not really fractal on very small scales, but kaleidoscopic. This approach may, therefore, give an alternative viewpoint as to the nature of time in the universe (because time and the rate of change would be emanating out of the dimension beyond the Plank Scale). 

Universal Consciousness 

When I say that the Universe has trouble differentiating between a normal cube of space and one that has undergoing Lorentz expansion, people may think that I am advocating some kind of conscious at work at this level of space. But this is probably correct in some way, because I am saying that just as our minds have trouble differentiating between what is the front and backside of a Necker cube, the Universe has the same problem with regard to certain aspects of Relativity which also lack a certain frame of reference. Look at this video of a Necker Cube rotating and notice how it switches direction every now and again. Now imagine a hyper-dimensional Necker Cube of space that is rotating at the Plank Scale without any sense of which direction it might be traveling in and you will see why the universe might have trouble, in this respect.

Furthermore, the rotating cubes could make an arbitrary quanta appear to move out of one cube and into another. If this perceived motion was then coupled with a run-away acceleration pieced together from the randomly determined Lorentz transformations, then you could have numerous quanta appearing to jump around in different directions exceeding all known speeds, bashing into one another, becoming one another, and then dropping back to rest in the blink of an eye; Chaos in other words. All of this motion would be an illusion, but because the Universe cannot tell what is illusion and what is real at this level, it all becomes real to some extent. 

Symmetrical and Biological Considerations of DR

Nevertheless, there is order; and the Universe is particularly aware of this order, otherwise we could not exist. It is my belief that the symmetry observed between a cube of space at rest (at the Plank Scale) and one that has just undergone an inverse Lorentz transformation, is directly responsible for all of the symmetries that we see in the natural world; and that includes the physical form of the human body. From the point of view of Direct Relativity, the right hand side of your body is energetically at rest, while the left hand side is traveling at twice the speed of light, and the axis of symmetry that runs between your body is traveling at the speed of light. None of them are in fact touching, but because of the Universe's strange inability to see any difference between these three disparate states of acceleration at the lower realms of matter, stasis is observed at the higher ones. This is not to say that any part of your body is really traveling at any of the aforementioned velocities, it is merely a projection of the rotations of reality at the smaller levels on up, and this projection provides the chiral symmetry we have come to expect of biological organisms, as well as, perhaps, their evolution through time.

Regardless of what you might think of the principles at work here, if you take anything away with you from this post; please let it be this. Your consciousness (or sense of self) occupies that area of the body, which corresponds to the (length contracted) axis of symmetry, which itself corresponds to the speed of light. This means that your consciousness, at this very moment, is already traveling at the speed of light; something which modern Relativity does not even begin to address (although it does not violate any of the known laws, as consciousness is not known to have any appreciable mass). Something of this is already known and spoken about in Buddhism, Hinduism, Taoism (and numerous other Eastern philosophies) that the human soul (or consciousness) resides on the central channel of the bodies subtle energy-or Chakra- system. The author of the Tibetan Book of Living and Dying has this to say on the subject;

There are 72, 000* subtle energy channels in the body, but three principal ones; the central channel, running parallel to the spine, and the right and left channel, which run either side of it.

This is very interesting, because the right and left channels are invariably coloured red and blue (respectively) in all cultures which deal with the subject of the subtle energy body; including the West. This red and blue could therefore correspond to the red and blue shifts known to accompany a mass accelerating passed a chosen space reference point; in this case the central channel. Interestingly, practitioners of many religions pray with their hands together, as if focusing their attention on the 2D consciousness plane of the central channel.

Furthermore, the fact that consciousness resides in a 2-dimensional (length contracted) manifold, embedded within the human body, means that consciousness exists strictly on the level of the Plank Scale. This means that what we are observing, when we look at the world, is directly connected to what is going on down at this scale and, more importantly, how it can be so that the human mind is capable of effecting matter at the minutest of scales simply by observing it. So it would appear that the question of a universal consciousness overseeing this level of reality has been somewhat answered; you are that consciousness and this world is partially the result of your inability to comprehend yourself; I think.


*This is exactly twice the number (144,000) I proposed for the embedded quanta manifolds above. This is not entirely coincidence, as it reflects my belief, that the chakra system, on some level is a model for the workings of the entire universe; on both large and small scales.