Magister Ludi
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http://www.youtube.com/watch?v=LgyLl8kHOD0
Through The Star Gate to
Entrance of Das Graal Knights
http://www.trell.org/wagner/gall/rw82re.jpg
Wagner in 1882, oil painting by Renoir
Time and space in Wagner
compilation by Kristian Evensen
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Parsifal:
Ich schreite kaum, -
doch wähn' ich mich schon weit.
Parsifal:
I hardly tread,-
though it seems I already have come far.
Gurnemanz:
Du sieh'st, mein Sohn,
zum Raum wird hier die Zeit.
Gurnemanz:
You see, my son,
here time becomes space.
[Parsifal, Act 1]
These words, spoken by Gurnemanz to the hero in the first act of
Parsifal, while the scene changes before the eyes of the spectators, are
probably the most profound definition that anyone has ever offered for myth.
[Claude Lévi-Strauss: The View from Afar
1983, eng. ed. 1985]
http://www.trell.org/wagner/time.html
Parsifal in Time and Space
“Here, time becomes space”. One of Wagner's most often quoted
statements, enigmatic, baffling. In what space, what time, is Parsifal
set? In the northern mountains of Gothic Spain, in the chivalric Middle
Ages, in Arab Spain? Yes, if we interpret the letter, not the spirit, of
the information Wagner gives. Parsifal's space is an imaginary space,
the time in which Parsifal takes place is an imaginary time. As soon as
space appears, past and future time become the present. Light creates
space, changing light is changing time.
http://home.c2i.net/monsalvat/wolfgang.htm
ds2 = - (1 - 2GM/c^2r) c2dt2 + dr2 / (1 - 2GM/c^2r) + ... Eq 13
g11 = (1 - 2GM/c^2r)^-1
g44 = - (1 - 2GM/c^2r)
Compare 2GM/c^2r < 1 outside the event horizon with 2GM/c^2r > 1 inside
the event horizon of this static spherically symmetric vacuum solution
of Einstein's field equation Ruv = 0
http://universe-review.ca/I15-61-interior.jpg
that is a wannabe wormhole that won't make it on its own because the
infinite redshift event horizon is an unpassable barrier and there is no
escaping the spacelike singularity inside that stretch-squeezes you to
death
http://universe-review.ca/I15-61-tidal.jpg
in a finite time of your conscious experience for a small enough "hole"
say 100 meters.
Inside the wormhole, g11 and g44 change sign as shown in Eq.(13). The
region becomes space-like, which means two events cannot be linked
unless the signal propagates with greater than light speed. This
peculiar property is also related to the instability of the wormhole.
What does this really mean precisely?
First outside the event horizon the 4D spacetime metric is conveniently
expressed in warped 3D spherical polar coordinates r, theta, phi plus
coordinate time t as
ds2(outside)
= - (1 - 2GM/c^2r) c2dt2 + dr2 / (1 - 2GM/c^2r) + r^2(dtheta^2 +
sin^2theta dphi^2)
r is the static Schwarzschild radial coordinate obeying usual Euclidean
geometry in the sense that actual proper circumference measured around
the hole adiabatically by static observers laying rods on a Bucky dome
surrounding the hole obeys
C = 2pir
and for the area
A = 4pir^2
http://www.buckminster.info/Pics/Icosahedra/Icos-Dome-Expo86.jpg
The wannabe wormhole is at center of this static dome outside the event
horizon. Try to build one inside the horizon - you can't. It gets
crushed along with everything else of material form.
These static observers at constant r outside the event horizon are
non-geodesic. A non-gravity force keeps them at constant r as well as
constant theta & constant phi (though they can move at will at fixed r
if they fire their jet packs like rocket man. This non-gravity force
causes the g-forces we experience at weight. Our weight here on Earth is
caused by the quantum electrical forces of the rock we stand on. Because
of the dynamical equilibrium keeping us at fixed r, to a good approximation
g ~ GM(Earth)/r^2 ~ - electrical reaction force of the rock on us.
You can use the Newtonian idea of gravity force here to a good
approximation.
Gravity force "down" on us + electrical force up on us = 0 (dynamical
equilibrium)
However, from the POV of Einstein's curved space time, there is no
gravity force per-se there is only the quantum electrical force of the
hard rock pushing us off our natural weightless geodesic path in empty
spacetime. The non-gravity electrical force keeps us on a nongeodesic
worldline relative to the ambient local curvature field we are immersed
in like fish in the Higgs ocean.
http://www.akhtarnama.com/images/astronaut%20in%20space%20poster.jpg
The observer in the picture is geodesic weightless when his jet is
switched off. He is nongeodesic feeling g-force weight when he switches
on his jet and the local curvature field is completely irrelevant. We
need only assume it is small enough not to be noticed. Even if it is
noticed, it does not change the g-force at the center of mass of the
observer it only introduces stretches and squeezes in the extended
observer's relative coordinates.
For the static nongeodesic observer
ds2(outside) = - (1 - 2GM/c^2r) c2dt2
ids/c is the time dtau between two events experienced by the static
observer at fixed r where dr = dtheta = dphi = 0
Note that when r -> infinity the time experienced approaches dt.
dtau/dt = (1 - 2GM/c^2r)^1/2
is the relative rates of two identical static clocks one at r and one at
infinity.
Now, assuming that the tidal curvature is not too strong near the
horizon, note on the horizon the tidal curvature is ~ 1/rs^2 compared to
what it is on Earth ~ 1/(10^13 cm)^2.
If the hole "throat" is 10 meters (~30 feet) the curvature is 10^20
times that at the surface of Earth - a very serious problem for this
kind of SSS wannabe solution.
Ignoring that issue for the moment, suppose Bob near the horizon sends
out a one second pulse. That pulse will be stretched in time by the
factor 1/(1 - 2GM/c^2r)^1/2, i.e. gravity redshift effectively goes to
infinity for a signal sent only a tiny distance above the horizon.
Note that the 3D STATIC metric outside is the purely spacelike
dL^2(outside) = dr2 / (1 - 2GM/c^2r) + r^2(dtheta^2 + sin^2theta dphi^2)
This is what happens when we set dt = 0, this is a spacelike 3D
hypersurface of simultaneity in our choice of nongeodesic static
observer coordinates that represents the absolute objective field in the
above picture of the field of relatively tilted localized absolutly
invariant light cones of Penrose in the classical limit ignoring quantum
gravity zero point fluctuations in the metric field (or its square root
tetrad field) itself.
http://universe-review.ca/I15-61-interior.jpg
OK next, what happens when we pass through the event horizon, assuming
now that Chapline and Laughlin are wrong that there is no phase
transition at the event horizon and that we do not encounter a strong
dark energy repulsive antigravity field inside?
ds2(inside)
= (2GM/c^2r - 1) c2dt2 - dr2 / (2GM/c^2r - 1) + r^2(dtheta^2 +
sin^2theta dphi^2)
Now the 3D spacelike metric is NON-STATIC determined by the global
topological signature switch from outside to inside
dL^2(inside)
= (2GM/c^2r - 1) c2dt2 + r^2(dtheta^2 + sin^2theta dphi^2)
where "r" is now the "time" and "t" is the radial space coordinate.
r = 0 is then a moment in time when all matter inside meets the
spacelike singularity for all theta, phi & t that collapses the 2D
angular metric to zero as r -> 0, note that the curvature diverges as
rs/r^3 inside. Other coordinates are used (Kruskal Finkelstein but this
basic picture does not change).
Next time how dark zero point energy changes the sentence below that is
only for w > - 1/3.
However it is suggested that if there is a large amount of negative
mass/energy -m (in the forms of a thin spherical shell, which appears in
the embedding diagram as the yellow circle as shown in Figure 09j) to
sustain the structure, then creation of a wormhole may become feasible.
The negative mass ensures that the throat of
the wormhole lies outside the horizon (since the new event horizon is
now 2(M-m)G/c2), so that travelers can pass through it, while the
positive surface pressure of such exotic material would prevent the
wormhole from collapsing. This would allow for shortcut in space travel
within the wormhole between
Figure 09k Space Travel [view large image]
Figure 09l Time Travel
[view large image]
two distant points (see Figure 09k), or even for the possibility of time
travel (Figure 09l).
http://universe-review.ca/I15-61-wormhole2.jpg
http://universe-review.ca/I15-50-grandpa.jpg
Begin forwarded message:
Subject: Embedding technique Schwarzschild Problem
"Another way to conceptualize a wormhole topology is to have the spatial
part of the space-time metric in Eq.(15a) imbedded in a flat hyperspace
with the extra-dimension denoted by W"
(http://universe-review.ca/R15-17-relativity.htm#travel)
dW^2 + dr^2 = dr^2/(1 - rs/r)
dW^2 = dr^2[1/(1 - rs/r) - 1]
[1/(1 - rs/r) - 1] = (1 - rs/r)^-1[1 - 1 + rs/r] = (rs/r)/(1 - rs/r) =
1/(r/rs - 1)
dW/dr = =-(r/rs - 1)^-1/2
W^2 = 4rs(r - rs)
W = 0 at r = rs
Note that the convenient use of the W dimension is only for purposes as
a heuristic visualization aid. It only has psychological significance
not physical importance. This W is zero at r = rs like the coordinate r*
in the claims that there is no interior to the black hole etc that
somehow W = 0 is smeared over the whole event horizon surface and so on.
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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