Re: Octonian Wavefunctions -Still Any Research Today?

Hello Peter:

I am surprised your last post got past the moderators because it looks
like standard garbling of special relativity. The difference between
time and proper time is well understood. Time is the first component
of a spacetime 4-vector, and transforms accordingly like a 4-vector.
The proper time is invariant under a Lorentz transformation, and is
the scalar formed by contracting 2 spacetime 4-vectors.

a^u = (t, x/c, y/c, z/c)
a_u = (t, -x/c, -y/c, -z/c)

a^u a_u = t^2 - x^2/c^2 - y^2/c^2 - z^2/c^2
= tau^2

[note: in my previous post, I forgot I was using tensors where the
contraction generates one value. I am too accustom to using
quaternions in calculations :-)]

* 'Proper time' (tau) reminds very much about the usual Newtonian time
concept. This appears to be in best agreement with the usual human
intuition.

This claim makes no sense. Newtonian space and time does not allow
time to mix with space. It fits well for systems with low relative
velocities. The concept of proper time appears when measurements of
time can rotate into space. That happens for systems with high
relative velocities. A program hoping to appeal to human intuition is
destine to fail since the human experience is all low velocity, non-
quantum stuff.

Personally, I believe that the 'quats' (4D complex numbers) does
actually reflect the properties of the physical space-time. That's my
believe (Maybe you won't agree, but that's just my opinion.)

If by 'quats' you really mean quaternions, these are 3 complex numbers
that share the same real. Writing out the Maxwell equations and the
Lorentz transformation using real quaternions was only done in the
1990s. As far as I can tell, those results have not generated much
interest. The physics marketplace is overcrowded with ideas. At the
current time, I see no compelling reason to learn the jargon of work
with PSR8 (I only use the word "theory" for bodies of knowledge we
know best, but you are doing a common trick used by folk who study
strings).

Doug
quaternions.com

.

Relevant Pages

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