Quantum Gravity 225.1: More Re Stable Tachyons and Probable Causation/Influence (PI)

From Osher Doctorow

Here E_2 or E2 is the tachyonic particle's energy, the subscript 2
(also indicated as in m2) referring to the tachyon, m to mass, and a
particle of (regular) mass M decays into a regular particle of mass m1
and a tachyon of mass parameter m2, with R2 being the phase space
factor (the threshold being for R2 if the threshold exists).

I should mention that the equation for E_2 or E2 of last time actually
involves PI (Probable Causation/Influence) with the addition of m2
beta gamma to all sides, so that we get:

1) E2 + m2 beta gamma = (M^2 - m1^2 - m2^2)/2M + m2 beta gamma > = 0

and dividing all sides by M or M/2 yields:

2) 2(E2 + m2 beta gamma)/M = (M^2 - m1^2 - m2^2)/M^2 + 2m2 beta gamma/
M > = 0

and now the "center" term is:

3) 1 - m1^2/M^2 - m2^2/M^2 + 2(m2/M)beta gamma

which has the required form 1 - x + y of PI with the obvious
definitions of x and y.

An inequality in the opposite direction for an upper bound is obtained
also, which I'll try to discuss later.

The author's (Radzikowsky's) Ph.D. thesis at Princeton University
(1992) was on Axiomatic Quantum Field Theory (AQFT) on curved
spacetime, and he thanks the algebraist A. S. Wightman of Princeton
and also K. Fredenhagen for in slightly different language stimulating
his research in tachyons.

This paper provides indirect support for Chodos, Hauser, and
Kostelecky's Phys. Lett. B 150: 431-435, 1985 paper with its
tachyonic neutrino hypothesis which Hughes and Stephenson were
"clearly" attempting to refute in their 1990 paper in Phys. Lett. B
244: 95, 1990.

Osher Doctorow
.

Relevant Pages

  • Re: Tachyons
    ... > This would become serious only if someone hypothesised a particle ... I have never heard of the word tachyon, in science fiction or otherwise, as ... medium, although the speed of light does, so when a particle travels faster ... Also worthy of noting is what we calculate mass to be if a particle travels ...
    (sci.physics.research)
  • Re: Imaginary mass?
    ... implies that anything moving faster that light(say like a tachyon ... particle) would be divided and imaginary number. ... By introducing complex mass it may be possible to do away with charge. ...
    (sci.physics.relativity)
  • Re: The End
    ... A tachyon is constrained to the space-like portion of the ... Woodward Effect engines - sometimes called Mach Effect, ... or Transient Mass Acceleration Effect which in experiments, ... mass will vary from lighter to heavier and vice versa depending on the ...
    (rec.boats)
  • Re: The End
    ... A tachyon is constrained to the space-like portion of the ... Woodward Effect engines - sometimes called Mach Effect, ... or Transient Mass Acceleration Effect which in experiments, ... mass will vary from lighter to heavier and vice versa depending on the ...
    (rec.boats)
  • Re: superluminary particles (was: Harmonizing Quantum physics with computational physics)
    ... A tachyon is a hypothetical particle which travels faster than the ... Solving relativistic (not quantum) equations for ... mass, etc. when v> c, you get imaginary mass and other oddities. ...
    (comp.theory)