You might be familiar with the equation E=mc^2, however perhaps you don’t know this is just a simplified version of Einstein’s relativity equation, modified by a proportionality constant known as the Einstein-Lorentz Transformation. This simplification, in general terms, eliminates certain system’s properties such as time distortion and changes of length, width, and mass over different velocities (and yes, all of those parameters change with changes in velocity. For instance, satellites orbit at about 9,000 mph; requiring GPS devices to adjust the time it gets from satellites in 8 microseconds per day). But, this is not an article about the practical aspects of the relativity theory. Instead, we’d like to discuss some insights it provides about the physics of non-physical dimensions when we bring those factors not typically discussed back into the picture.

Below is the oldest existing manuscript written by Albert Einstein on his theory of relativity.

The equation is:

*Where E = the energy of the system; m = the mass of the system; v = the velocity of the system and c = the speed of light.*

The first aspect that must be clear is that Einstein’s equation suggests that matter and energy are interconvertible and interconnected. In fact, matter would be a form of condensed energy (just consider how much energy can be obtained from a relatively small atomic ogive). Now, let’s observe what happens to the system as we accelerate it. According to the equation above, as we accelerate a physical particle, its energy (kinetic energy) increases exponentially to the point that it would seem impossible to accelerate particles beyond the speed of light (in other words, infinite energy would be required for such). As noted by Richard Gerber, “The ascending curve approaches the speed of light (c) but never intersects with it, and continues off into infinity”[1] – as you can see by the first quadrant of the graph below. Dr. Gerber also notes that “Up until now most physicists have accepted the seeming limitation that one cannot accelerate matter beyond the speed of light. This assumption is partly related to the fact that when one inserts numbers greater than the speed of light into the Einstein-Lorentz Transformation, one arrives at solutions containing the square root of -1, which is considered an imaginary number. Since most physicists do not believe in imaginary numbers, they assume that the speed of light is the maximum velocity at which matter can travel. Certain pioneering mathematicians, such as Charles Muses, consider the square root of -1 to be one of a category of numbers referred to as “hypernumbers.” These hypernumbers, he believes, are necessary to the development of equations which mathematically describe the behavior of higher dimensional phenomena. Although at first glance imaginary numbers like the square root of -1 might seem to be impossible to fathom, Muses points out that they are necessary to finding solutions in the equations of electromagnetic and quantum theory. **It is perhaps appropriate that so-called imaginary numbers would play a key role in describing the higher dimensional phenomena that conservative scientists have long considered to be imaginary domains themselves”[1]. **

So, before we continue analyzing the rest of the graph above, let’s make sure we understand what has been discussed thus far and highlight some important inferences. Einstein’s equation is quadratic, which means has two solutions – a positive one and a negative one. Typically, the negative result is rejected as it would require a particle to assume speed superior to that of light. As in the physical, tridimensional space we live in this fate would require infinite energy, this result is usually discarded as non-applicable. But, could there be another interpretation? Could we understand this result differently and work with it on a way that doesn’t let our prejudices contaminate our sciences? What if we avoid discarding a result that seems not to fit our present understanding of nature? Could we do that and still conduct scientific research, even if theoretical? The answer is yes and this approach is that which assumes this particle as a tachyon. Tachyons were first proposed by physicist Arnold Sommerfeld, and named by Gerald Feinberg. They are particles traveling at superluminal speeds. “Tachyons have the strange properties that, when they lose energy, they gain speed. Consequently, when tachyons gain energy, they slow down. The slowest speed possible for tachyons is the speed of light”[3]. To this date, there is still no experimental evidence for the existence (or non-existence) of tachyons. We can reason however, with the possibility of being incorrect, that since multiple equations of physics, including Einstein’s general relativity and Maxwell’s equations, predict their existence; to deny their existence would be equivalent to denying aspects of math and the adequacy of key equations of physics to correctly explain natural phenomena. In other words, when gathering evidence of tachyon’s existence, this will not change the laws of physics as we know them presently, but instead, it will simply confirm them. This fact on its own should be considered a good indication that physics (or science as a whole for that matter) can no longer assume a positivistic stance in order to progress. In fact, **studying tachyons may well be our baby steps in understanding and accessing non-physical dimensions and controlling phenomenon such as time-space warping and time-travel.** It seems like science fiction but, in fact, all we have discussed here so far has good scientific background. Of course, those ideas are not fully developed and understood, but they are definitely not the result of my fertile imaginary!! Let’s continue our analysis of Einstein’s relativity equation and the chart above, depicting it graphically, but remember what we discussed about tachyons, because we’ll come back to it again later in this text.

We now should talk about the fourth quadrant of the chart. We see a second, inverted, mirror-image curve on the opposite side of the line denoting light speed. All particles there must move at superluminal speeds and the closer their velocity gets to the speed of light, the lower their energy – which is, in any case, lower than any possible scenario described by the first quadrant of the chart. This means, particles in the fourth quadrant will have negative mass and vibrate at much higher frequencies than particles in the first quadrant. The vertical axis separating those two realities we just described can then be considered a seemingly impenetrable boundary. This boundary, we can speculate, is that between physical and non-physical dimensions or better, between the physical (positive space-time) and the astral (negative space-time) dimensions – the latter assumed to be the realm of “hyperspace and hypertime”, terms believed to have been first introduced by Brazilian Gal. Moacyr Uchoa. Beyond the borrowed terminology from Gal. Uchoa, much of what is covered in this article has been proposed by William Tiller, ph.D., a professor emeritus of materials science and engineering at Stanford University and former chairman of the Department of Materials Science at that institution. According to Dr. Gerber, **“Whereas positive space/time matter is associated with the forces of electricity and electromagnetic (EM) radiation, negative space/time matter is associated primarily with magnetism and a force which Tiller describes as magneto-electric (ME) radiation”[1]. **

Dr. Gerber also add that “The Tiller-Einstein model has interesting significance in interpreting the behavior of etheric and astral matter. The astral domain has certain unique properties, one of which is the principle that astrally or emotionally charged thoughts have a life of their own. At the astral energetic level, certain thoughts, either conscious or unconscious, may exist as distinct energy fields or thoughtforms with unique shapes, colors, and characteristics. Some thoughts, especially those that are charged with emotional intensity, can have a separate identity apart from their creator. Certain thoughts may actually be charged with subtle energetic substance and exist (unconsciously) as thoughtforms in the energetic fields of their creators. These thoughtforms can frequently be seen by clairvoyant individuals who are very sensitive to higher energetic phenomena. The fact that our consciousness can influence the energy fields of our subtle energetic anatomy has important implications for both medicine and psychology. Subtle matter, especially astral matter, is very magnetic. Movement at this level is relatively fluid, compared to the dense physical plane. There are forms, but they are mercurial. They tend to pulsate, and movement can be in more than one direction at the same time. It is, after all, another dimension of existence and must be understood on its own terms”[1].

So, before we conclude this study, we should talk again about tachyons. Could they be a form of “astral matter”, which, as graphically indicated by the chart we have been analyzing, could not easily exist in the physical dimension but are quite real in the astral dimension? If we can only physically infer their existence by measuring the travel of physical particles in time (which could also be interpreted as providing scientific evidence of non-physical dimensions), have we accomplished this? According to the articles below, it turns out we did!

- http://www.dailymail.co.uk/sciencetech/article-4686720/China-teleports-photon-SPACE.html
- http://www.bbc.com/news/science-environment-40594387

**References:**

- Gerber M.D., Richard.
*Vibrational Medicine: The #1 Handbook of Subtle-Energy Therapies.* - Muses, Charles.
*Working with the Hypernumber Idea*, in Consciousness and Reality, ed. C. Muses and A. Young (New York: Avon Books, 1972). - http://scienceworld.wolfram.com/physics/Tachyon.html- search on 16/Nov/2017.

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