From: Tom Roberts on
Inertial wrote:
> "Tom Roberts" wrote in message
> news:9LqdnXCTW9pdALfRRVn_vwA(a)giganews.com...
>>
>> eric gisse wrote:
>>> Tom Roberts wrote:
>>>> SR is not really an "axiomatic system". Nor a 'taken for granted
>>>> system'.
>>>>
>>>> SR is a physical theory with testable predictions and a well-defined
>>>> domain of applicability.
>>>
>>> Why can't it be both?
>>
>> A physical theory like SR consists of:
>> A) a set of mathematical theorems
>> B) the meanings of the symbols that appear in (A)
>> C) an experimental record of comparisons between theorems of (A)
>> related to experimental measurements via (B) and the choice of the
>> appropriate theorem representing the conditions of the measurement.
>>
>> Only part (A) can be an axiomatic system (and for SR it is). All parts
>> are needed for a successful physical theory.
>
> So it is both axiomatic and physical?

No. One part of it (A) is axiomatic, but the entirety is a physical theory, in
that it models physical phenomena (within its domain).


> It is (or originally was at
> least) based on postulates, and from those it models physical reality
> (which then allows one to experimentally verify the predictions)

The theorems derived from the postulates form an axiomatic system. But the
meanings of the symbols and the experimental record do not.


> If not .. what sort of physics theory would you describe as purely
> axiomatic .. and which purely physical?

No physical theory can be purely axiomatic -- Aristotle essentially tried that
and it failed even him. I don't know what "purely physical" means in this
context, but any mathematical model will not be "physical" (it will be a MODEL).
Today, only theories based on mathematical models are acceptable to the community.


Tom Roberts
From: Koobee Wublee on
On Jun 29, 6:28 pm, Tom Roberts wrote:

> A physical theory like SR consists of:
> A) a set of mathematical theorems
> B) the meanings of the symbols that appear in (A)
> C) an experimental record of comparisons between theorems of (A)
> related to experimental measurements via (B) and the choice of the
> appropriate theorem representing the conditions of the measurement.
>
> Only part (A) can be an axiomatic system (and for SR it is). All parts are
> needed for a successful physical theory.

However, part (A) is wrong. It does not satisfy the null results of
the MMX in general. <shrug>

Thus, part (A) should read:

A) a set of mathemaGical conjectures

On Jun 29, 8:54 pm, Tom Roberts < wrote:

> LET (LR) starts out with an implicit postulate: there is a unique inertial frame
> in which the ether is at rest. So the (also implicit) law of ether motion is
> DIFFERENT in different inertial frames, violating the PoR.

I don't know what mathematical model of LET you understand it as, but
clearly, the Lorentz transform is a subset of Larmor's transform. The
Lorentz transform satisfies the principle of relative, but Larmor's
transform in general does not. <shrug>

For your review, the following is Larmor's transform involving the 2
observers (1 and 2), the observed (3), and the absolute frame of
reference (0).

** dt1 = (dt0 – B01 dx03 / c) / sqrt(1 - B01^2)
** dx13 = (dx03 – B01 c dt0) / sqrt(1 - B01^2)
** dy13 = dy03
** dz13 = dz03

** dt2 = (dt0 – B02 dx03 / c) / sqrt(1 - B02^2)
** dx23 = (dx03 – B02 c dt0) / sqrt(1 - B02^2)
** dy23 = dy03
** dz23 = dz03

Where

** dtI = Time flow at I
** dqIJ = Parameter dq (dx, dy, dz) at J as observed by I
** B0I c = Absolute speed of I

Written in this way implies that 1 and 2 are moving in parallel
relative to 0. With that, the above equations do become the following
which is the Lorentz transform.

** dt1 = (dt2 – B21 dx23 / c) / sqrt(1 - B21^2)
** dx13 = (dx23 – B21 c dt2) / sqrt(1 - B21^2)
** dy13 = dy23
** dz13 = dz23

** dt2 = (dt1 – B12 dx13 / c) / sqrt(1 - B12^2)
** dx23 = (dx13 – B12 c dt1) / sqrt(1 - B12^2)
** dy23 = dy13
** dz23 = dz13

Notice

** B12 = - B21

> LET (LR) has an amazing and unexpected cancellation that makes the ether frame
> completely unobservable FOR PHYSICAL MEASUREMENTS. But its transform equations
> were all derived starting from that unique inertial frame.

Don't rejoice about this cancellation of 0 from Larmor's transform.
In a more general case where 1 and 2 are not necessarily moving in
parallel relative to 0, this 0 does not cancel out. Yours truly has
explained that below.

http://groups.google.com/group/sci.physics.relativity/msg/c5a0a3c587fd4df4?hl=en

On Jun 29, 9:00 pm, Tom Roberts wrote:

> One part of it (A) is axiomatic, but the entirety is a physical theory, in
> that it models physical phenomena (within its domain).

For example, in Larmor's transform, when 1 and 2 are not necessarily
moving in parallel to each other relative to 0, the temporal equations
can be written as follows.

** dt1 = (dt0 – [B01] * [ds03] / c) / sqrt(1 - B01^2)

Very trivially, when 3 is observing 1 back, the following equations
holds.

** dt3 = (dt0 – [B03] * [ds01] / c) / sqrt(1 - B03^2)

Where

** [dsI] = Change of spatial vector at I
** [A] * [B] = Dot product of the two vectors [A] and [B]

One can easily and very trivially combine the above two equations into
the following.

dt1 sqrt(1 - B01^2) + [B01] * [ds03] / c = dt3 sqrt(1 - B03^2) + [B03]
* [ds01] / c

Notice the frame of reference called 0 also known as the absolute
frame of reference does not go away. This follows closely how high
speed particles are observed to exhibit time dilation relative to an
observer moving more slowly relative to the absolute frame of
reference. All your observations can be explained with Larmor's
transform based on the absolute frame of reference thus breaking the
precious symmetry while the Lorentz transform is a complete
mathematical bogus.

> The theorems derived from the postulates form an axiomatic system. But the
> meanings of the symbols and the experimental record do not.

Try not to be sloppy with the symbols just like Einstein the nitwit,
the plagiarist, and the liar did in his infamous 1905 paper on
relativity. <shrug>

Have you finally figured out the nitwit's mathemagical tricks of
deriving (E = m c^2 / sqrt(1 - v^2 / c^2)) through a serious of
mistakes namely being very sloppy on the symbols?

> No physical theory can be purely axiomatic -- Aristotle essentially tried that
> and it failed even him. I don't know what "purely physical" means in this
> context, but any mathematical model will not be "physical" (it will be a MODEL).
> Today, only theories based on mathematical models are acceptable to the community.

Have you finally realized that SR fails any mathematical integrity
right off the bat? SR manifests the twins' paradox which is
absolutely nonsense. SR should never be accepted as a valid model of
the real world. All real life observations are based on Larmor's
transform with all observations eventually have to reference back to
the absolute frame of reference. Without the so-called symmetry,
there is no paradox, and the GPS functions like a charm. <shrug>

Just in case if you have finally realized your very basic mistakes,
try not to jump off the tallest building in the Chicago area. There
are still a lot of mysticism beyond SR to be exorcised. <shrug>
From: blackhead on
On 30 June, 04:54, Tom Roberts <tjroberts...(a)sbcglobal.net> wrote:
> Paul Stowe wrote:
> > Tell us where LR fails to comply
> > with the PoR.
>
> LET (LR) starts out with an implicit postulate: there is a unique inertial frame
> in which the ether is at rest. So the (also implicit) law of ether motion is
> DIFFERENT in different inertial frames, violating the PoR.

> LET (LR) has an amazing and unexpected cancellation that makes the ether frame
> completely unobservable FOR PHYSICAL MEASUREMENTS. But its transform equations
> were all derived starting from that unique inertial frame.

Right. But experiments have ruled out LET, correct?

> Tom Roberts

From: colp on
On Jun 30, 10:26 am, PD <thedraperfam...(a)gmail.com> wrote:
> On Jun 29, 4:53 pm, colp <c...(a)solder.ath.cx> wrote:
>
>
>
> > On Jun 30, 1:17 am, PD <thedraperfam...(a)gmail.com> wrote:
>
> > > On Jun 29, 1:57 am, Koobee Wublee <koobee.wub...(a)gmail.com> wrote:
>
> > > > On Jun 28, 3:33 pm, colp <c...(a)solder.ath.cx> wrote:
>
> > > > > colp:
> > > > > Your process of computation involves restricting calculations
> > > > > which could produce a paradox to a single frame of reference,
>
> > > > > Daryl:
> > > > > Right. The point is that doing anything else is mathematically
> > > > > and physically nonsense.
>
> > > > > colp:
> > > > > Yes. And that nonsense is a direct result of the premises of SR,
> > > > > nothing else.
>
> > > > Congratulations, colp.  You have just checkmated these Einstein
> > > > Dingleberries with these precise and concise summary.
>
> > > :>)
> > > I see you either share COLP's Oversimplified Relativity or you have
> > > your own KW variant.
>
> > What don't you tell us what part of Einstein's theory I have
> > oversimplified?
>
> I've already told you the answer to that in a different post, as
> pertains to the twin puzzle.

Can you quote it, or give a reference to it? If you can't then it
looks like you are lying.
From: whoever on
"blackhead" wrote in message
news:b69fc399-150c-4674-a6df-72007c42d013(a)w12g2000yqj.googlegroups.com...
>
>On 30 June, 04:54, Tom Roberts <tjroberts...(a)sbcglobal.net> wrote:
>> Paul Stowe wrote:
>> > Tell us where LR fails to comply
>> > with the PoR.
>>
>> LET (LR) starts out with an implicit postulate: there is a unique
>> inertial frame
>> in which the ether is at rest. So the (also implicit) law of ether motion
>> is
>> DIFFERENT in different inertial frames, violating the PoR.
>
>> LET (LR) has an amazing and unexpected cancellation that makes the ether
>> frame
>> completely unobservable FOR PHYSICAL MEASUREMENTS. But its transform
>> equations
>> were all derived starting from that unique inertial frame.
>
>Right. But experiments have ruled out LET, correct?

No


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