On Dec 18, 6:55=A0pm, clifford wright <
c.c.wri...@paradise.net.nz>
wrote:
> Well, speaking as a mere electronics engineer.
> Whatever the cause of the 60nsecs speed up over
> the path between CERN and the receiver as long as the
> effect is real we have a BIG problem with Relativity.
Not at all. Although signalling outside the light cone would herald a
revision in the mainstream view of causality, none of this has any
impact on the question of the space-time signature and whether it is
Lorentzian or Galilean (for instance). These are features that can be
directly probed by determining the direction of rotation when
performing two boosts in different directions (which in turn directly
connects to the direction which Thomas precession takes place in); and
the sign of the mass-energy conversion M =3D alpha E: alpha > 0 means
Lorentzian, alpha =3D 0 means Galilean, alpha < 0 means Euclidean 4-D.
The notion that "causality" is somehow the definition or distinctive
character of relativity was one advanced by Reichenbach, who went as
far as taking the extreme view that "the relativity of simultaneity"
had nothing to do with "the relativity of motion". He formulated
Relativity as causal theory, while the correct formulation (i.e. the
one that captures the essential theses that the spacetime signature is
Lorentzian) is just that the invariant speed is finite in all
directions at all points-in-time.
This issue was critically examined in the 1983 classic "Foundations of
space-time theories: relativistic physics and philosophy of
space" (Michael Friedman), which did us the service of dispelling a
LOT of myths and folklore about what the proper formulations of
Newtonian theory was/is (even making a distinction between Galilean
vs. Newtonian); and folklore on what key assumptions are used/required
to establish Relativity.
Reichenbach's starting point was Friedman's R3 (or P3 I forget); to
contrast with alternative formulations R1, R2 (and P1 and P2 later
on). Another common postulate that is seen in the folklore and is also
wrong is the notion "all inertial frames of reference are equivalent";
which as Friedman pointed out after carefully dissecting it, says
virtually nothing at all of any content.
> I use radio communication a lot and it would be "relatively"
> easy to send information (however low a bandwidth)via these pulses.
Fayngold in his 2008 book on Relativity also discussed in depth the
issue of causality violation, tachyons, superluminal quantum
tunnelling and the like. As he pointed out (underscoring Friedman):
many people have tied causality to relativity, even Einstein. And many
people were wrong to do so. One may assert this extra condition, but
it has no direct bearing on the actual scientific content contained in
the basic hypotheses: light-speed invariance. Fayngold went even
further to split hairs pointing out that even the designation of c as
"light speed in a vacuum" is wrong ... for very subtle reasons. So,
his proposal was to simply term c the "invariant speed".
Fayngold spelled out different ways to have tachyonic transmission
without causality violation. The simplest way, of course (not directly
mentioned by him) is to simply deny the paradox as humans-deluding-
themselves-about-their-"free will". Or to put it differently: to
assert the Novikov Consistency Conjecture. But apart from that, one
can also use the distinctive properties of tachyons (e.g. the
longitudinal component of its momentum) to establish a time-
directionality. So, even if you don't like Novikov, you can still get
away with time-directionality.
(But as I pointed out, in the article on the OPERA experiment, the
latest papers seemed already to rule out tachyons).
I have no problem with causality-violation. It would just mean that
some things yet-to-be are also written in stone, like the past.
"Time-traveller's paradoxes" were never anything more than false
arguments. There's lots of ways to avoid collision with intent or will
*even if* granting "free will" (which, given how predictable people
are to me, was always an implausible stretch to maintain).
You can forget, suffer a stroke, or fall asleep. Or you can also drop
dead before you get to do anything. None of these are under your
control. And all that's before you have a chance to "time-travel".
Your memory and brain are not under your control. Rather you are under
your brain's control. And the act of remembering things (or
remembering to do things) -- as anyone over 40 can tell you -- is NOT
a voluntary process, but just something you pray not to lose (as you
eventually will).
(The ploy of getting a machine to do things doesn't change anything.
*Somebody* has to make and set up the machine. And somebody's going to
fail if they try; which is a logical consequence that follows by
reductio absurdum from the "padadox".)
Some of the ways events can conspire to stop things from clashing even
if you can see the future, for instance, is to be able to correctly
call out the lottery numbers -- but mix up the day (Friday instead of
Wednesday) or year (first week of January in 2010 instead of 2008); or
to know that you're going to miss a flight scheduled to leave at 4PM
on Friday October 19, but not to know which year; or to know in 2006
that you're going to be called down to give a talk in the "7th story
of an office building" in Chicago, but not know by whom, where, when
or why until it sneaks up on you from behind (
http://www.math.uic.edu/
seminars/view_seminar?id=3D998); or to know that the Republicans are
going to win in a landslide because of the "Palin Factor", but to not
know whether this was supposed to be 2008 or 2010; or to correctly
call out the plays of a game, one-by-one over an extended time
interval (like 10-20 minutes), mistakenly thinking you're watching a
rerun broadcast again ... only to find out later in the day that you
were watching a live broadcast.
As an engineer, you know that transmission is not an all-or-none
affair. You have the problem of interference, signal corruption and
the like. What we can clearly establish, irrespective of any issue of
causality violation, is that possible signalling from the future is by
its very nature laden with interference and noise to the point of
being nearly or completely unreadable. As a scientist, the "nearly,
but not quite" part is the key point of interest.
You may argue that the conspiracy of near-misses is somehow
"implausible", because if things were really set in stone in both the
backwards *and* forwards direction, people would notice those kind of
spooky incongruities all the time. And "nobody ever does".
But the problem with saying "people don't" however, is that *I do*.
Those descriptions are autobiographical. I will only make brief
mention of it here, since it's a personal matter; but to put it
bluntly: I have a lifelong precognitive ability and as of late for
some reason it is growing by leaps and bounds in ways that are getting
to be a bit unsettling and even disorienting.
This has always been one of the main reasons I've had such deep
interest in probing and resolving the issue of the nature of space and
time, one of my main motivations for studying physics at the
foundational level (rather than, say, finishing up a PhD -- all to
easy for me -- and working under some big-budget science program on
incremental research or under some "mentor's" wing). It is one of the
main reasons why I take such interest in experiments like this.
More significantly, in the course of watching this rather strange
phenomenon as a passive observer, the number of instances have grown
(as of the last few years) to the point where it's starting to become
repeatable and to the point where I'm now beginning to see
regularities in the phenomena and actually formulate hypotheses.
That's always the first step in an observational regimen: collect
data, find patterns and regularities.
But like celestial phenomena, or like the phenomenon of
"remembering" (which, for anyone over 40, is increasingly beyond their
conscious ability to control), it's something I can only observe as a
passive spectator. I can't make a planet or star in a lab either.
It's why, also, I'm very skeptical anyone who asserts a "causality"
principle ab initio. No causality principle is contained in any field
equation or basic axiom of relativity. In every case I've seen, it's
always been a somewhat vague assertion of "folklore" that has been
"written in by hand", to use a physicist's term, as a way of narrowing
down possible solutions to equations.
(The sole exception is Fayngold, which I describe below.)
The equations say nothing about causality; and the burden is (and has
always been) on those to establish how and why *from first principles*
in a *strictly rigorous way* (i.e. by deductions carried out in first
order logic from a well-defined set of physical assumptions) to
explain (a) what causality actually is and (b) how it emerges from
laws which make no mention of it. Zeh made a stab at it. But Zeh also
took the stand point above of "people don't".
For me, given my experience, the "extraordinary claim" which requires
extraordinary proof is that causality holds true; rather than that it
doesn't.
I mention this here to point out that *even with* the foreknowledge,
there is no paradox; no ability to "intervene" or "change" anything.
Things conspire in ways they can to keep things consistent even if --
say -- I could rattle off the sequence of events in a game or pageant
over the course of several minutes out loud several minutes in advance
in full view of the event and its participants. (All of that is part
of what I meant by "unsettling" above). Or, to use another example, I
could intentionally decide to walk the longest possible route to the
train to get to Chicago to give the talk on the 7th floor in the
"office building" just to see if I miss the train. (I tried, got lost,
and barely got to the station seconds before the train left.)
The question you're bound to ask as an engineer pertains to a matter
that was enshrined by Fayngold.
Fayngold's point of view of causality is that information is
transmitted by virtue of the future wave form or "response curve"
being a NON-ANALYTIC function when taken over an interval that crosses
time-zero. What he was trying to do was to get it so that you can't
"predict" the future coefficients of the power series by the past wave
form segment. For, one of the main features of an analytic function is
that it can only be 0 in an interval if it is 0 everywhere. To the
same degree, its values over any interval provide sufficient
information and detail to extrapolate the function over the entire
real line.
So, Fayngold's point of view is that the point of non-analycity is
where the information is being transmitted. To test the true speed of
transmission requires first and foremost correctly identifying where
in the wave train this occurs. This is Fayngold's "leading edge".
OPERA can go seriously wrong in many ways on that count. They may
simply be identifying the wrong part of the wavefront as the leading
edge.
For engineers, the analogous principle is that the response curve is
dead zero at t < 0, but non-zero after t > 0. Ipso facto that means
it's non-analytic.
In general, I have a problem with this notion and tend to soundly
reject any assertion of non-analycity (including with the propagator
functions in quantum field theory).
There's more to the world than meets most people's eyes, and more to
be found by probing that one question further. I think all the
response curves are analytic but exponentially dampened.
That would mean that somewhere down the line it should even be able to
instill machines with precognitive ability. Yet, none of it will
entail paradox.