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Warp Drive, Feynman's Paths & Bohm's Quantum Potential

 
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Jack Sarfatti
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PostPosted: Wed Jun 20, 2007 5:53 pm    Post subject: Warp Drive, Feynman's Paths & Bohm's Quantum Potential Reply with quote

Memorandum for the Historical Record in the History of Theoretical Physics

I awoke with a start. So I want to record this before I forget the "dream."

OK consider Ibison's "point" approximation of the "Alcubierre" geodesic
warp drive bubble history in an otherwise 1905 Special Relativity (SR)
globally flat Minkowski space-time. In the usual way choose a Global
Inertial Frame (GIF) allowing a spacelike foliation/slicing into 3D
hypersurfaces. As I said the geodesic warp drive bubble "point" is a
singularity relative to the SR theory in which RIGID T4 symmetry is
broken replaced by ELASTIC T4(x) GCT symmetry. The SR observers outside
the geodesic warp bubble are Ibison's AFO Minkowski observers who can be
inertial geodesic or not -- doesn't matter.

But the geodesic warp drive history can be arbitrarily SPACELIKE
TACHYONIC relative to the AOFs. That is ANYTHING GOES! Imagine a
starting point at the t = 0 spacelike hypersurface at initial position
P(0) where the tiny ship "electron" switches on its geodesic warp
bubble. The ship arrives at the t hypersurface at some final position
P'(t). Note that the proper time is the same for all possible warp
bubble histories. Well this is precisely Feynman's quantum path integral
picture of the propagator of a relativistic point particle that takes
ALL POSSIBLE spacetime paths connecting P(0) to P'(t) including
spacelike and BACKWARDS IN TIME (particle-antiparticle production &
annihilation). In Bohm's picture this is the work of the Quantum
Potential Q.

Therefore, Bohm's quantum potential Q for a "point particle" in
otherwise gravity free globally flat Minkowski spacetime is equivalent
to a microscopic geodesic warp drive bubble in which the Captain like in
The Flying Dutchman takes all possible voyages from StarGate Portal P(0)
to StarGate Portal P(t) where t can even be negative (backwards in time).

OK so Ibison and Davis are going to write a "paper" are they? Well it
better not have this idea in it without mentioning that it's my idea
given to me by ET perhaps? ;-) IN A WAKING DREAM. It's ~ 5:47 AM PST Wed
June 20, 2007 San Francisco.

On Jun 19, 2007, at 9:29 PM, Jack Sarfatti wrote:

2nd draft

What Michael Ibison and Eric Davis do not understand, do not grok about
their claim is that like the spacetime singularity of a black hole in
curved spacetime, their warp drive stringy world line is also a
singularity of their global special relativity model. They do not
understand how the group theory applies to their classical model. Each
theory has a limited domain of validity specified by the symmetries of
the theory. Those domains of validity are like circles of convergence of
power series in complex function theory. The warp drive history is like
a pole in the complex plane of w = w(z). The theory stops there and we
need a larger theory. In a way this is Godel's incompleteness theorem of
1931 since any theory is a formal system. Progress in theoretical
physics is like analytic continuation in the mathematics of complex
functions of several complex variables.

On Jun 19, 2007, at 6:38 PM, Jack Sarfatti wrote:

What is this bait and switch? Ibison has simply parroted back my ideas
as if he was saying that all the time? I will put my ideas he has fed
back to me in red below.

RIGID SYMMETRY is GLOBAL SYMMETRY with a CONSERVED GLOBAL CHARGE.

RIGID SYMMETRY means there is Lie group G with n space-time independent
parameters under which the global dynamical action of the system of the
source fields is invariant.

In such a case, one can define local source current densities Ju that
are locally conserved. This means that the globally flat Minkowksi
spacetime SR 4-divergence of the currents vanish

J^au^,u = 0

u = 0,1,2,0 with 0 timelike inside the local light cone

a = 1 ... n

Given a spacelike slice of 4D spacetime the 3D integral of J0^a = Q^a
the conserved charge i.e.

dQ/dx0 = 0 Emmy Noether's theorem of 1918 not known by Einstein really
in 1916 in the most general form.

Now all this assumes that in addition to G that the dynamical action is
invariant under RIGID T4 where a = 0,1,23 and the stress-energy current
densities are now Tuv for a given set of classical fields

Total energy E = 3D space integral of T00

Pi = 3D space integral of T0i

i = 1,2,3

But you cannot do this in general in Einstein's general relativity
because RIGID T4 is no longer a symmetry group of the dynamical action
if real gravity fields are present, i.e. non-vanishing 4 rank GCT
conformal curvature tensor fields in classical vacuum. No dark zero
point Ricci source exotic vacuum energy - to keep it simple for now.
This is basically the equivalence principle. The curved tetrad fields
A^a are the compensating gauge connection fields when the 4 spacetime
independent physical displacement parameters of T4 become arbitrary
functions of the local coordinate chart. We now have a warped 4D "world
crystal" where the parameters of the locally gauged NON-RIGID T4, i.e.
T4(x) are the crystal distortions, and the gauge transformations are
precisely Einstein's GCT's (General Coordinate Transformations).

So let's look at this simply. Suppose the AFO (Asymptotically Flat
Observer) outside the warp bubble in its FUTURE LIGHT CONE receives long
waves only that are much bigger than the warp bubble with the ship
inside it. The bubble is a "point" to such probes. The history of the
warp bubble is a SINGULAR STRING WORLD LINE like a cut for a complex
function w = f(z) in the complex z-plane. That is 1905 SR with RIGID T4
symmetry breaks down on the string replaced by NON-RIGID ELASTIC T4(x)
that is a larger symmetry group. The A^a warped tetrad fields are zero
outside the singular warp string. They are not zero in the string. If
you think of vortices A^a are like the vorticity of the vortex core.

OK let 3G(ti) & 3G(tf) be the initial and final 3 Geometries
(hypersurfaces) connected by the warp bubble string. The ship leaves at
ti and arrives at tf in some localized foliation. Now ANYTHING GOES,
there is no reason why the Pu of the matter fields of the ship and its
occupants need to be conserved, i.e. need to be the same on both initial
and final spacelike hypersurfaces. They CAN BE, they NEED NOT BE! It's
completely arbitrary subject to the whim of the captain of the ship
because the warp history does not obey RIGID T4 NO PROPELLANT NEED APPLY!

NO SYMMETRY --> NO CONSERVATION!

LOCAL CONSERVATION of T4 CURRENTS does not imply GLOBAL CONSERVATION of
T4 CHARGES on 3D spacelike hypesurfaces when T4 is violated inside the
4D spacetime region where the WARP BUBBLE is.

NO PROPELLANT NEED APPLY!

Note that for internal symmetries and RIGID T4 the above does not apply
because there is no 4D equivalence principle for internal symmetries and
their conservation laws.

Then we have spontaneous symmetry breakdown - another story.

On Jun 19, 2007, at 4:52 PM, Dr. Eric Davis wrote:

What Michael relates below is completely correct. It couldn't be better
articulated.

Eric



snip----------------------------------

Bullshit. I have said no such thing. Are you being intentionally
obstreperous?
Let me repeat what you are saying back to you so you cannot keep
misrepresenting
me:

Zero 4D covariant 4-acceleration means on-board g-force.

NO Mike you got it wrong. That's NOT what I wrote. I will give you
benefit of the doubt that it's a typo.

What I wrote a JILLION TIMES seemingly to no avail was JUST THE OPPOSITE

Zero 4D covariant 4-acceleration means ZERO on-board g-force. NO g-force.

The Einstein GR geodesic equation for this is

DP^u/ds = 0

Assuming dm/ds = 0 i.e. no actual ejection of rest mass - and this
include a jet of HFGW (High Frequency Gravity Waves), or photons, or
atoms, or anything, then

DP^u/ds = mcdV^u/ds - mc(Connection)^uvwV^vV^w = On-board g-force = 0

I mean here 4-force obviously.

P^u = mcV^u

m = rest mass of COM of ship

V^u = dx^u/ds

ds = dt/(gamma)

d/ds = (gamma)d/dt

gamma = (1 - (v/c)^2)^-1/2

Now

mcdV^u/ds is the kinematical "Euclidean" APPARENT "Newtonian" g-force
(generalized to 1905 SR) computed from radar bounces et-al

mc(Connection)^uvwV^vV^w is, if you like sci-fi, the curved (possibly
torsioned) spacetime "inertial compensation" term. That is the term we
must control with dark zero point energy to metric engineer warp and
wormhole for controlled geodesic dogfights without on-board g-force and
NO TIME DILATION!

Such 'motion' does not require propellant. Indeed, there must be no
propellant
in order for such motion to take place.

Parrots back what I have repeatedly written in the public record.

I will assume that you are with me so far, and move on:

Obviously Mike you and Eric must be under the control of an Evil Alien
or a Malevolent Fairy or some self-professed Skeptic perhaps?

<pastedGraphic.tiff>
Amazing Randi

This is your bait and switch where you take my words and throw it back
at me as if you are "educating" me! You could sell used cars in Tijuana
with that shtick. ;-)

The above statement are assumed valid for the craft and it's passengers.
They
are valid because of the assumed metric bubble enveloping the craft.

So you parrot back what I have written.

At some point the metric bubble flattens out to flat space (I am working in
coordinates such that g_00=1, g_0i=0.)
Put a box around that metric-bubble-plus-craft. Call that box a 'particle'.

IF that particle has mass, that is: if the ADM adjusted mass of the ship is
non-zero, then that particle must conserve momentum IN FLAT SPACE;
it cannot accelerate as measured against that flat space without
propellant -
again as defined by the flat space observer.

Conserve momentum where-when? This is your error! Of course when the
metric bubble vanishes it will need propellant in the usual Newtonian
and SR way. SO WHAT?

Look when the warp bubble flattens out as you put it, then of course
obviously there are global inertial frames GIFs where

(Connection Field) = 0 at all points in the flat region

and Tuv^,v(Ship) = 0

etc. so momentum of the COM of ship is LOCALLY CONSERVED in usual SR ->
Galilean fashion when there is no anomalous warp bubble. SO WHAT ELSE IS
NEW?

Please think about this before replying. It is entirely possible that
the motion
of the craft is geodesic and there is no propellant as seen from on
board the
craft. Whilst, AT THE SAME TIME, the flat space observer for whom
craft-plus-metric-bubble = particle, there must be propellant if that
box has
ordinary acceleration.

But the box does not have ordinary acceleration inside the warp bubble -
that's the point!

It would be nice if you defined your terms.

I mean dV^u/ds as "ordinary acceleration". Indeed that would be what
radar sees if the bubble is small compared to wavelength of signal, but
that's not what we have in general. It's the other way around so we need
the Terrell type calculations. Follow the null geodesics from different
points on the ship to the AFO's. Not a trivial simulation even for
Alcubierre's toy model I bet. Why don't you try it?


Yes: ORDINARY ACCELERATION! Why? Because they can only
see flat space coordinates plus a 'particle', the interior details of
which do
not concern them.

See above.


They are only interested in the fact that the 'particle' (as a
unit) has a non-zero mass as referred (unambiguously) to their coordinate
system. To their level of acuity, Covariant Acceleration of 'particle' =
Ordinary Acceleration of 'particle'.

That is only true if (CONNECTION) = 0 at every future light cone origin
along the ship's world line where the ship's future light cones
intercept AFO's detectors. That is only when warp bubble is not there!
Draw a spacetime diagram.


Please observe the fact that I am referring to the
craft-plus-metric-bubble as a
unit = 'particle'. That unit requires propellant to accelerate. You, by
contrast, keep referring to the craft. The craft DOES NOT NEED PROPELLANT to
accelerate (if, as assumed, it moves on a geodesic). Please take time to
understand this distinction before replying!

Einstein said, make it simple, but not simpler than is possible. You are
making it more complicated than is needed. So where is this phantom
meta-propellant of yours to come from? It's not required for Einstein's
GR and beyond to Einstein-Cartan with torsion. You got turtles on
turtles. "It's turtles all the way down." Hawking in "A Brief History of
Time" intro.

Basically you have obliterated the difference between

Tuv^,v(ship) = 0 NO WARP BUBBLE


Tuv,^;v(ship) = 0 WARP BUBBLE

Where Tuv is a finite world tube of support for the material fields of
the ship inside the warp bubble.

There is no AOF global P^u conservation before warp and after warp
needed. Strict Pu global conservation is only true for RIGID T4 symmetry
which is VIOLATED inside the warp bubble! It's NOT LIKE S-Matrix theory.
Your analogical argument is not good. This is one reason why "quantum
gravity" is elusive.


This is pretty trivial stuff Jack. You seem to be so beguiled by metric
bubbles
and warp drives that you cannot hear what I am saying.

So far you have not said anything real. You have invoked some ghost
propellant not required by GR or its extensions.

Once you see what I am
saying rather than what you THINK I am saying, no doubt you will say
that it is
obvious and not worthy of debate. It is obvious! It isn't worthy of
debate! But
since you are having difficulty, Eric and & have decided to write it up as a
short paper - just in case there are others out there who cannot see the
wood
for the trees. We'll see you in court!

By all means write a paper, but don't leave my name out of it as if I
don't exist, and let me check that you cite me correctly I mean that you
don't misrepresent my ideas.

To give you the benefit of the doubt Michael & Eric, your verbal
arguments are too vague. You have not shown enough math to pin down your
meaning. Hence I say "not even wrong" - Pauli

In a nut shell - the "point" warp bubble is a kind of SINGULARITY for
the AFOs in which RIGID T4 symmetry is VIOLATED. Hence, by Noether's
theorem you cannot conclude that GLOBAL Pu for the ship is CONSERVED in
time on spacelike slices.

You do not get the RIGID GLOBAL SYMMETRY implies and is implied by
GLOBAL CONSERVATION.

The symmetry group here is T4.

The warp bubble VIOLATES T4 invariance of the warp bubble-ship field
action. If you think of warp bubble + ship inside it as a POINT, then
what you have is a SINGULARITY - a world tube singularity in which T4 is
violated.

NO SYMMETRY --> NO CONSERVATION!



Jack Sarfatti
sarfatti@pacbell.net
"If we knew what it was we were doing, it would not be called research,
would it?"
- Albert Einstein
http://www.authorhouse.com/BookStore/ItemDetail.aspx?bookid=23999
http://lifeboat.com/ex/bios.jack.sarfatti
http://qedcorp.com/APS/Dec122006.ppt
http://video.google.com/videoplay?docid=-1310681739984181006&q=Sarfatti+Causation&hl=en
http://www.flickr.com/photos/lub/sets/72157594439814784
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Major Quaternion Dirt Qua
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PostPosted: Thu Jun 21, 2007 12:09 am    Post subject: Re: Warp Drive, Feynman's Paths & Bohm's Quantum Potential Reply with quote

do you ever type anything that is not hyperjargon
for "metric engineers," or is it strictly obfuscatory?

have you refurbished any Deloreans, lately?

http://www.21stcenturysciencetech.com/Articles%202005/Bernoulli.pdf

Quote:
In a nut shell - the "point" warp bubble is a kind of SINGULARITY for
the AFOs in which RIGID T4 symmetry is VIOLATED. Hence, by Noether's
theorem you cannot conclude that GLOBAL Pu for the ship is CONSERVED in
time on spacelike slices.

You do not get the RIGID GLOBAL SYMMETRY implies and is implied by
GLOBAL CONSERVATION.

The symmetry group here is T4.

The warp bubble VIOLATES T4 invariance of the warp bubble-ship field
action. If you think of warp bubble + ship inside it as a POINT, then
what you have is a SINGULARITY - a world tube singularity in which T4 is
violated.

NO SYMMETRY --> NO CONSERVATION!

thus:
Newton, the secular icon of the Anglican Communion,
set the British back a 100 years in calculus
with the Royal Society defamation of Leibnitz, and his "dots;"
_Principia_ has only the rectangle, dxdy.... he was rewarded
with the minding of the mint: see the joke-commemorative,
2-pound coin with the relief on the edge.
"On the shoulders of giants," '99 minting!

Gailileo was also not much of a scientist,
with his "hereticism" created by Cardinal Bellarmine --
he had tried to get his bud, Pope Urban,
to make his work on Copernicus into some sort of writ, so
house arrested !?!

well, you can hear about Leibnitz and
the American Revolution, here:
http://wlym.com/mp3/20030621-mark-liebniz.mp3

Quote:
http://www.cnn.com/2007/TECH/science/06/18/newton.papers.ap/index.html

really the first of the great modern scientists, but rather the last of the
medeival wonder-workers.

thus:
bicycle!... or is it a tricycle?...
wish I knew nore math, but I'd use a different coordination. also,
don't ride "no hands" on a your tricycle!

seriously, are you trying to determine both coordinates of the point
of lowest sagging for the bottom part of the chain, being driven,
with a given tension when not driven --
where is the tension in your equation, and "g" ??

OK, I can see that the pure shape, without actual links
in the chain (or teeth in the gear), can be given parametrically,
given the length etc., so ... have fun!

Quote:
We have two sprockets and a chain and need to find the sag. The support points of the chain are at different elevations (different diameter sprockets). We are iterating through the following equation in Visual Basic to find a, the y-coordinate of sag measured from the horizontal centerline of the two sprockets.

2 * a * (sinh(L/(2 * a)))=(y1-y2)/sinh(arctanh((y1-y2)/S))

However, we keep getting a value above the highest support point. This equation should be valid for our scenario, so why is the solution so inaccurate?

thus:
after Bucky spent 9.37 years hacking away at the Cheese Tetrahedron
-- in order to minimize handling, oxidation etc. of his store --
he got sick of cheese & moved it ... to the root cellar.

of course, if you do aim the vectors at the vertices of the
hexahedron,
you get the four axes *voila*; they are the same system,
differently accounted. most things should probably be quantized
using the tetrahedron, firstly, why it's a "simplex." however,
like the self-duality of it, you mention, the infinite matrix
of hexahedra is self-dual, begetting its pythagorean props.

quaternions actually has four perpendiculars,
even though the "+1" of timespace is the "scalar;"
Hamilton's terminology, later deployed by Gibbs. well,
it's symmetrical with the other threee, but
they are not related to it like they are to each-other;
I mean, Time!... don't blame herr doktor-professor Minkowski,
blame Onemug -- since he seems to have agreed to that.

I mean, even Newton's dots are good for some thing,
according to Conway!

start Euclid with Hypsicles in the usual edition;
no coordination -- all construction....
how many of you have got a copy of _Modern Pure Solid Geometry_?

how many still get this maillist?

thus quoth:
which include the words: "In the future, Humanity will see in our
Epoch an Era of superstition, essentially associated with the
names of Marx, Freud and Einstein.. in which the last seven
decades of the 20th century will be characterized in history as the
dark ages of physics, which cannot be based on the field concept"
(the latter part & view is by Einstein himself, some 25 years later)

Quote:
Almost everyone who has written anything about this says vectors from
the origin of the coordinate system in the directions of the
tetrahedron's vertexes should be added, but they don't add vectors
pointed in the directions of the cube's vertexes in the Cartesian
(Footnote 4: It was a mathematical requirement of XYZ rectilinear
coordination that in order to demonstrate four-dimensionality, a fourth
perpendicular to a fourth planar facet of the symmetric system must be
found--which fourth symmetrical plane of the system is not parallel to
one of the already-established three planes of symmetry of the system.
The tetrahedron, as synergetics' minimum structural system, has four
symmetrically interarrayed planes of symmetry--ergo, has four unique
perpendiculars--ergo, has four dimensions.)
http://bfi.org/node/574
http://library.wolfram.com/infocenter/search/?search_results=1;search_person_id=607

thus:
mine is a lot simpler & analogous
to the trilateral ineq.
(we uncovered this in a Buckafka Fullofit maillist,
which has since been made more private;
one of the correspondents spent some hours
to derive it by programming,
which was kinda strange .-)...
I am still not sure,
how many sets of the the basic tetrahedral inequality,
it has to satisfy, but probably six.

thus:
ah, this looks like a good exercise
for comprehending "absolute value" function,
as well as of the trilateral inequality....
Quote:
| x - y | >= | |x| - |y| |
means these two things:
| x - y | >= |x| - |y|
| x - y | >= |y| - |x|


thus:
in Sudan, Iran and possibly all other once and
future British quagmires.... Belize, Canada, Trinidad
AND Tobago; when we get there,
be sure to ask if it's more than one country, and
did we miss Trinidad andOR Tobago?
Quote:
http://www.boston.com/news/nation/washington/articles/2007/05/01/pentagon_s
tudy_says_oil_reliance_strains_military?mode=PF


thus:
look, up in the sky -- it's Googoltude (TM) ?!?
http://www.ldeo.columbia.edu/LCSN/Eq/20010911_WTC/WTC_LDEO_KIM.pdf

--n~nerfman~n!
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galathaea
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PostPosted: Fri Jun 22, 2007 12:13 am    Post subject: Re: Warp Drive, Feynman's Paths & Bohm's Quantum Potential Reply with quote

On Jun 20, 12:09 pm, Major Quaternion Dirt Quantum
<Qnc...@netscape.net> wrote:
Quote:
do you ever type anything that is not hyperjargon
for "metric engineers," or is it strictly obfuscatory?

why does it bother you so much?

there is plenty of material online
to help you understand if you are earnestly interested...

how can you enjoy bucky
who purposely made up many words to express his own ideas
and be so upset by someone using accepted "hyperjargon" from the lit?

-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
galathaea: prankster, fablist, magician, liar
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Major Quaternion Dirt Qua
Guest





PostPosted: Sat Jun 23, 2007 2:40 am    Post subject: Re: Warp Drive, Feynman's Paths & Bohm's Quantum Potential Reply with quote

do you know, whether JS was a victim
of MK-ultra, or one of the contractors, or both?

Bucky's ouvre is not even difficult,
with only a handful of neologisms, and
a lot of poetic (or unneccesary) verbiage. also,
he actually made a couple of dyscoveries, and
developed the key concept of tensegrity,
which Snelson dyscovered. and,
there is literally no math in _S_.

Quote:
why does it bother you so much?

how can you enjoy bucky
who purposely made up many words to express his own ideas

thus:
maybe the coefficients of friction work,
differently, there. if you look at the video
of the "tracked" version of Shipov's "drive,"
you can see that this is all that is involved,
by way of an eccentrically weighted shaft.

JS even deigned to reply to my criticism
of it, without referencing me.

the URL is, I think, http://shipov.com/Oil.html

Quote:
Maybe he's a professor on the planet Krypton.

thus:
seems interesting;
have you seen the book that compiled all
of the various reworkings?

http://www.rotaperiod.com/
Quote:
http://www.chemistry.mcmaster.ca/esam/Chapter_5/section_1.html

thus:
just realized what I was missing, when I posted this,
although it occurred to me, then,
speaking of coordination:
doesn't apply to a kid's direct-drive-front-wheel trike,
but it does apply to an adult's chaindriven one, and
to Bucky's Dymaxicar, although the pattern is reversed;
that's the problem with it.

thus:
don't ride "no hands" on a your tricycle!

thus:
ah, this looks like a good exercise
for comprehending "absolute value" function,
as well as of the trilateral inequality....
Quote:
| x - y | >= | |x| - |y| |
means these two things:
| x - y | >= |x| - |y|
| x - y | >= |y| - |x|

thus:
in Sudan, Iran and possibly all other once and
future British quagmires.... Belize, Canada, Trinidad
AND Tobago; when we get there,
be sure to ask if it's more than one country, and
did we miss Trinidad andOR Tobago?
Quote:
http://www.boston.com/news/nation/washington/articles/2007/05/01/pentagon_study_says_oil_reliance_strains_military?mode=PF

thus:
look, up in the sky -- it's Googoltude (TM) ?!?
http://www.ldeo.columbia.edu/LCSN/Eq/20010911_WTC/WTC_LDEO_KIM.pdf

--n~nerfman~n!
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