From: Tom Roberts on
harald wrote:
> What kind of Lorentzian relativity predicts a violation of its own
> invariance??.

You are confused. Lorentz was a prolific physicist with a long and varied
career, and his name is associated with many different phenomena and equations.
His LR (LET) does not satisfy local Lorentz invariance (LLI). This is so despite
his name being associated with both.

I do not know when local Lorentz invariance was first stated as
a guiding principle for theoretical physicists, but I strongly
suspect it was well after his death in 1928, at a time when LR
(LET) had been abandoned and essentially forgotten. I'm basing
this on the history of QM and QED, not GR.


> That doesn't make any sense.

It makes perfect sense once one knows what LLI actually means and what the
structure of LET (LR) actually is.

And this is not "predicts". LLI is a symmetry property of
a theory, not any sort of prediction about the world or
experimental results.


> Anyway, if the "mere existence" of an "ether frame" violates LLT, then
> the realistic interpretation of QM violates LLT.

I assume LLT => LLI. Yes, QM violates LLI -- it's a non-relativistic theory. QED
does not violate LLI, nor does the standard model. Indeed, the notion that LLI
applies to every theory was essential to their discovery and development. That
notion, of course, was motivated by SR, and came well after LR (LET) was presented.


Tom Roberts
From: mpc755 on
On Jul 11, 1:18 pm, Tom Roberts <tjroberts...(a)sbcglobal.net> wrote:
> Paul Stowe wrote:
> > It is silly on its face to claim that the CMBR does not illuminate the
> > rest frame of our universe.
>
> In cosmological models based on the FRW manifolds of GR, the CMBR dipole=0 frame
> is also the cosmological frame in which the dust particles (galaxies) are at
> rest, due to the way the CMBR was generated. This is merely a symmetry of the
> manifold, and no "aether" is present, and the cosmological frame does not
> participate in the dynamics.
>

There is dark matter. The state of which is determined by its
connections with the matter. Dark matter participates in the dynamics.

> In an expanding universe, it's not clear what "rest frame of our universe" means
> -- NOTHING is "at rest", and it is not possible to compute any sort of "average"
> [#]. But at each point in the FRW models there is a cosmological frame
> reflecting the symmetry of the manifold, and it can be determined via local
> measurements.
>
>         [#] One might be able to compute an average over the visible
>         universe, but that's not at all the entire universe.
>
> Tom Roberts

From: Edward Green on
On Jul 10, 11:17 pm, Paul Stowe <theaether...(a)gmail.com> wrote:
> On Jul 10, 7:15 pm, colp <c...(a)solder.ath.cx> wrote:
>
>
>
> > On Jul 11, 1:05 pm, PaulStowe<theaether...(a)gmail.com> wrote:

<...>

> > > What, very specifically is your beef with the 'principle of
> > > relativity'?
>
> > The fact that it purports that there are no absolutes in nature.
>
> But AFAIKT it does not really purports that. It purports that
> physical processes will behave in the same manner regardless of one's
> linear velocity. By extension, this means light's speed also appears
> to measure the same speed. It actually says nothing about absolutes.
> What it is really saying is, the universe is internally self
> consistent. The real issue 'at the time' of both LET and SR
> development was the very basic structure, and nature, of material
> systems since these are necessary to make any such measurements.

<...>

I am sympathetic and intrigued by so called LET, but I wonder if there
isn't a third way. SR essentially asserts a symmetry (LLI, as it is
now styled -- the acronyms seems to grow in this group at military
rates of accretion), whereas LET explains that symmetry. But LET
leaves the ghost of an undetectable absolute frame. I wonder is there
isn't a more mechanistic way of understanding LLI which eliminates the
need for an absolute frame of reference.

From: mpc755 on
On Jul 11, 1:18 pm, Tom Roberts <tjroberts...(a)sbcglobal.net> wrote:
> Paul Stowe wrote:
> > It is silly on its face to claim that the CMBR does not illuminate the
> > rest frame of our universe.
>
> In cosmological models based on the FRW manifolds of GR, the CMBR dipole=0 frame
> is also the cosmological frame in which the dust particles (galaxies) are at
> rest, due to the way the CMBR was generated. This is merely a symmetry of the
> manifold, and no "aether" is present, and the cosmological frame does not
> participate in the dynamics.
>

There is dark matter present. The state of which is determined by its
connections with the matter. Dark matter participates in the dynamics.

> In an expanding universe, it's not clear what "rest frame of our universe" means
> -- NOTHING is "at rest", and it is not possible to compute any sort of "average"
> [#]. But at each point in the FRW models there is a cosmological frame
> reflecting the symmetry of the manifold, and it can be determined via local
> measurements.
>
>         [#] One might be able to compute an average over the visible
>         universe, but that's not at all the entire universe.
>
> Tom Roberts

From: Paul Stowe on
On Jul 11, 11:04 am, Edward Green <spamspamsp...(a)netzero.com> wrote:
> On Jul 10, 11:17 pm, PaulStowe<theaether...(a)gmail.com> wrote:
>
> > On Jul 10, 7:15 pm, colp <c...(a)solder.ath.cx> wrote:
>
> > > On Jul 11, 1:05 pm, PaulStowe<theaether...(a)gmail.com> wrote:
>
> <...>
>
> > > > What, very specifically is your beef with the 'principle of
> > > > relativity'?
>
> > > The fact that it purports that there are no absolutes in nature.
>
> > But AFAIKT it does not really purports that.  It purports that
> > physical processes will behave in the same manner regardless of one's
> > linear velocity.  By extension, this means light's speed also appears
> > to measure the same speed.  It actually says nothing about absolutes.
> > What it is really saying is, the universe is internally self
> > consistent.  The real issue 'at the time' of both LET and SR
> > development was the very basic structure, and nature, of material
> > systems since these are necessary to make any such measurements.
>
> <...>
>
> I am sympathetic and intrigued by so called LET, but I wonder if there
> isn't a third way. SR essentially asserts a symmetry (LLI, as it is
> now styled -- the acronyms seems to grow in this group at military
> rates of accretion), whereas LET explains that symmetry. But LET
> leaves the ghost of an undetectable absolute frame. I wonder is there
> isn't a more mechanistic way of understanding LLI which eliminates the
> need for an absolute frame of reference.

Just FYI, LET is to what I call Lorentzian Relativity (LR) as SR is to
GR. IOW Lorentzian Relativity encompasses both SR/GR with Lorentz's
take on what underlies the mathematics of GR hydrodynamical equation.
Thus while LR includes LET it scope is much broader...

Now, to your question, as the excerpt below demonstrates,


======== The Handbook of Physics, Section 3, Chap 8 "Acoustics
========
(Condon & Odishaw, McGraw-Hill Publishing)

9. Radiation from a Simple Source in a Moving Medium

An important question concerns the effect of steady motion of the
medium on the field distribution from a stationary simple source of
sound located in free space. In the absence of motion of the medium
the
sound field will be spherically symmetrical, and the surfaces of
constant phase will coincide with the surfaces of constant amplitude.
Motion of the medium will split this coincidence.

- - - - \
- ^ - - - - \
/ | \ - - - \
| | | - - - \
| R* | - - - \
| | | - - - \
| | | - - - \
| | | - - - \
|<--R---o---------> v ---------------------------o-> v
| Source | - - - /Source
| | - - -/
| | - - -/
| | - - - /
| | - - - /
\ / - - - /
- - - - - /
- - - - /
Figure 8.2
Subsonic Velocity Supersonic Velocity
B = v/c < 1 B = v/c > 1

FIG. 8.2.Equal sound pressure contours from sound source in motion or
for a stationary source in a moving medium. The contours are in both
cases measured in a coordinate system attached to the source.

The field distribution of a stationary source in a moving medium
measured in the stationary coordinate system IS THE SAME as that of a
moving source in a stationary medium measured in the frame connected
with the source. The field from a point source located at the origin
of
the stationary coordinate system xyz in which the medium moves with a
constant velocity v in the direction of the x axis is:

Q(t - R/c)
P(x,y,z,t) = --------------------
4pi[R*]Sqrt(1 - B^2)

Where

B[x*] +
R*

R = -------------
Sqrt(1 - B^2)

and
x
R*^2 = x*^2 + y^2 + z^2, x* = -------------
Sqrt(1 - B^2)



which can readily be seen to satisfy Eqs. (8.7).

The surfaces of constant phase, given by R = constant, are spheres of
radius RSqrt(1 + +B^2) with the origin at x = RB. This can be easily
seen in an elementary way by calculating the time it takes for a pulse
of sound to reach x, y, z. The surfaces of constant sound pressure, on
the other hand, are given by R* = constant, which corresponds to the
ellipsoid x^2/(l - B^2) + y^2 + z^2 = constant = R*^2, as pictured in
Fig. 8.2. It is interesting to notice that the field is the same up
and
down wind and that the intensity is larger in a direction at right
angles to the flow. Physically the decrease of sound pressure in the
directions with and against the wind can be explained as follows. Down
wind the space occupied by a pulse of energy of certain length is
"stretched" out, and the energy density is correspondingly decreased.
Up wind the wave has effectively to travel further to reach the point
of observation, and the effect of spherical divergence will be
comparatively larger.


====================================================================

Moving acoustical sources create field profile who's form is
consistent to Lorentz's proposal and are LLI. If one were
'restricted' to using ONLY instrumentation which consisted of
agglomerations of such fields the results of any measurements would
be, also, LLI. This is also explained in this paper,

http://arxiv.org/PS_cache/arxiv/pdf/0705/0705.4652v2.pdf

and,

http://www.wbabin.net/physics/rothenstein19.pdf

These combined should provide ample evidence to demonstrate that LLI
is the native behavior of basic acoustical fields. There is no
mystery here or anything special about an aetherial medium behaving
the same way.

Paul Stowe