**Superluminal Gravitation and the Linearized Wave Equation**

Speculative Science by H Kurt Richter, founder of the Tachyonics Society of America.

**Foreword**

I attempt to describe gravity as a superluminal force by suggesting that small point-like tachyons give rise to a causally-reversed radiation pressure which we experience as Newton’s law of universal gravitation.

The idea involves setting Schrödinger’s wave equation equivalent to the equation of a line in space for the tachyon held as causing gravitation. In particular, this model envisions an infinitesimally small point-particle, epitomizing the mathematical notion of a point in space, and suggests that there may exist such point-like tachyons radiating naturally (and constantly) from all real masses in all directions; each such tachyon traveling perfect Euclidean-straight lines from their sources to infinity, imparting some of their causally-reversed momentum to all of the “real” objects through which they pass on their FTL journey. And because reversed causality orients a tachyon’s momentum-vector opposite in direction to the direction of the tachyon’s travel, such tachyons collectively establish negative radiation pressure in space. This, then, is what we understand as the gravity described by Newton’s universal law of gravitation, in everyday life, and by Einstein’s General Theory of Relativity, when dealing with satellite orbits, distances within our Solar System, and larger astronomical reaches.

I hope to start posting the specific math and physics I have been studying to understand this subject. Readers are invited to post comments, and to check my work. But since this is presently an exercise in science-fiction (very speculative), it can also be ignored out-of-hand.

Objections and/or criticisms from readers who wish to correspond with me will be used in providing impetus for deeper investigation into finer points of the theory. But *any* comments, suggestions, or helpful information will be appreciated.

**The Concept of Tachyons and How They Cause Gravity**

Einstein’s famous equation for the rest-mass of a real particle is: E = mc^{2} , where E is energy, and m is mass. But if E = mc^{2} is positive, then -E = -m_{t}c^{2} can be considered tachyonic.

A tachyon is a particle of mass -m_{t} and energy -E which always travels faster-than-light (FTL), and has negative time (reversed causality). [These are the particles on the other side of the lightspeed barrier.]

Let v denote any concievable velocity. Then there are three categories of particles, depending on v , according to Einstein's theory of Special Relativity (involving the above formula).

The range 0 < v < c is for ordinary particles, called “bradyons”.

The lightspeed constant, v = c , is for massless particles, also called “photons” and/or “luxons“.

The range c < v < (infinite speed) is for tachyons, obtained as analogs of ordinary particles.

Other tachyons can be imagined, of course (including those traveling infinitely fast), but I view such tachyons as accounting for phenomena other than gravity. The critical thing here is that we have to set bounds upon tachyons, in analogy to the kinds of bounds we observe are natural to bradyons.

For my theory of gravity, therefore, I require a point-like tachyon without any wavelike characteristics, and which shoots away FTL along a perfectly straight line from the instant of its creation (by any bradyonic mass), but which also interacts with bradyonic bodies in its path in such a way as to impart some of its forward momentum to those bodies; setting up radiation pressure in space. But because of its reversed causality, this pressure is negative; causing a pull rather than a push. The collective action of all of these radiating tachyons consequently establishes the classical "Newtonian" law of gravity, and also adheres to Einstein's theory of General Relativity (in particular, the field equations; explained in coming posts).

I had previously attempted to use standard quantum gravity, involving the spin-2 massless boson, the so-called "graviton", analogous to electromagnetism, by setting the graviton's speed FTL. And that actually worked to unify gravity with the other forces of nature. But it soon became clear, reductionist as I am, that a more fundamental scheme could be had; a simple particle radiator model, without the need for polarity.

After all, gravity does behave as a monopole, quite unlike the quadrupole model usually defined for gravity in gauge-field theories, and which has never been substantiated experimentally. Rather, gravity acts, for all intents and purposes, like a wholly classical field of force. In fact, the only modification to Newton's law of universal gravitation is not to the well-known formula, F = GMm/(r^2) , but to assumptions about it; that it implies instantaneous action-at-a-distance. I specify, instead, that it appears instantaneous, to our senses and instruments, because gravity propagates FTL -- and our technology remains inextricably tied to the electromagnetic spectrum, and is thus limited by it.

In any case, I shall endeavor to show, theoretically, using mathematics and circumstantial evidence, that:

**Gravity is faster than light, and is therefore a tachyonic force. **

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