On Friday, October 4, 2019 at 1:42:41 PM UTC-6,
coea...@gmail.com wrote:
>
> On Friday, October 4, 2019 at 12:29:12 PM UTC-7, Gary Harnagel wrote:
> >
> > coea wrote:
> > >
> > > For any spacelike separated events p and q, there exists a system of
> > > inertial coordinates x,t in terms of which t_p > t_q, and another system
> > > of inertial coordinates x',t' in terms of which t'_p = t'_q, and still
> > > another, x",t", in terms of which t"_p < t"_q.
> >
> > Irrelevant.
>
> To the contrary, it's actually the only relevant fact in this thread, as
> you will see if you read on.
>
> > If u' = c^2/v, there is a frame where u = infinity.
>
> That sentence is essentially a subset of what I stated above.
No, it's not. It prevents the following:
> Let me translate for you: In terms of a system S of inertial coordinates,
> when you talk about a speed u' = c^2/v for some v in the range [0, c],
> you are talking about a superluminal speed u' in the range [inf, c]. For
> a speed in the positive x direction (same reasoning applies in the
> negative x direction), this signifies a space-like interval between two
> events p and q such that, in terms of S, you have u' = (xq-xp)/(tq-tp)
> where xq > xp and tq > tp.
Which you failed to specify in your previous post, making it gobbledegook.
> In other words, the interval from p to q goes forward in time. Then
> you correctly say there is a frame in which the speed u' transforms to
> u = infinity, which means there is a system of inertial coordinates S',
> related to S by a Lorentz transformation (since we are in the context of
> special relativity), such that t'q = t'p. (Please note that x'q is still
> greater than x'p.)
Of course.
> Now you should be able to look back at my previous quote, which you called
> "irrelevant", and see that what you have stated here is contained in what
> I stated. Of course, you left out the crucial part of what I stated, which
> is that there is still another system of inertial coordinates, S", in terms
> of which t"q < t"p. (As always, x"q is still greater than x"p.) That's
> the part that demolishes your beliefs.
Nope. You're falling into the trap of requiring that u'' is greater than
infinity, which is totally illogical and irrational.
.
> > Once you have that frame (it's not hard to find it), you can calculate
> > what u'' is in every other frame. HINT: it will ALWAYS be less than
> > infinity.
>
> There's your mistake! You're mixing up magnitude with value, ignoring the
> sign.
So you're still blathering about the "=1 = -1" straw man baloney? Even
after I laid it all out for you? Do I have to show it to you many times
before it finally sinks through your skull?
u = (u' - v)/(1 - u'v/c^2)
This has the siren song enticing you to let u'v/c^2 be greater than unity.
BUT
u - u'uv/c^2 = u' - v
u' = (u + v)/(1 + uv/c^2)
GET IT? There is NO WAY that u' can be greater than c^2/v, proving that
you may NOT allow the denominator in the original equation to become negative.
> In the inertial coordinate system S" we have t"q < t"p, which means that
> the transformed speed in terms of S" is finite but negative, and yet
> x"q > x"p, so the reason this speed is negative is that it is going in
> the negative t" direction.
Which is impossible, which is why your assertions are balderdash.
> That's why the line in Figure 4-4 is tilting backwards in time.
Which means u is greater than infinity, an impossibility.
> Remember, you originally thought that line should tilt forward,
Rather, tilt UP.
> but then you realized that you were confusing +1 with -1.
Yes, I was. However, I haven't done so since. And, in fact, my Figure 5
doesn't do that.
> You're still doing it.
No, I'm not, as the rearrangement of the equation u = etc. above shows.
Are you so poor at algebra that you don't even realize that you're telling
a falsehood?
> > You have YOUR interpretation of the Minkowski diagram which overtly
> > adopts the block universe concept.
>
> No. Your fixation on metaphysical notions like block universes vs
> presentism is completely pointless and irrelevant.
Complete horse manure. It's at the base of the whole sham of Figure 4-4.
It purports that clocks at A and B are synchronized to send the signal
back to B, but they aren't synchronized when C transfers the signal to A.
The ONLY way this can happen is if the block universe is REAL. YOU aren't
THINKING, you're just turning the crank on a black box equation and accepting
whatever nonsense pops out of the hopper.
> You need to read the above, carefully, and understand your mistake.
YOU need to read my rebuttal, carefully, and understand, because right now,
you know not, and know not that you know not.
> This all follows unambiguously by simple arithmetic from the premise
> that inertial coordinates systems are related by Lorentz transformations,
> which is the entire content of special relativity, independent of
> metaphysical interpretations.
Perhaps you will one day realize YOUR mistake, but I don't have much hope
for that to happen because you refuse to THINK about what you're doing
when you mindlessly apply ONE form of the RVC equation and completely
blank out your mind and ignore its rearranged form. And you completely
ignore a speed greater than infinity. And you completely ignore that
your assertion about that minus sign puts you solidly in agreement with
the block universe metaphysical interpretation. IOW, you're spouting
a ridiculous philosophy. You're also ignoring the fact that clocks at
A and B in 4-4 are synchronized when A sends the signal back to B, but they
are NOT synchronized when C transfers the signal to A. So how did they
manage to get desynchronized? They can't, of course, not in the REAL world.
And THAT is what demolishes YOUR beliefs.