But down to the seriously basic, let's get to the physics.

Mercury's orbit precesses, without question. Of all planets it has the
most
easily noticable precession, being the most eccentric (e > 0.2) and the
fastest,
being the closest to the sun and passes through aphelion every 88 days.
(Also
through perihelion in 88 days, the "big end of the egg" where it has the
greatest velocity and hence the greater error in measurement, but never
mind
that.)

"Koobee Wublee" <koobee.wub...@gmail.com> wrote in message

news:1179165482.157347.128370@u30g2000hsc.googlegroups.com...



"Androcles" <Engin...@hogwarts.physics> wrote:

What, asking for you to prove GR works better than
Newtonian Mechanics?
Not difficult at all, Poe. Produce the calculations.

[KooWu]

Forget the calculations for now. Let's look at the basic
fundamentals. Here is a little bit of history as well.

During the mid 19th century, Riemann described a curvature in space
based on Gauss' speculation that space might be curved. The part of
space we live in might be so slightly curved that we do not even
notice about this curvature. So, space is the geometry. To describe
this geometry, one needs to do so base on the description from a
chosen coordinate system. Without a coordinate system, it is
impossible to describe any distance. Then, with the choice of
coordinate system identified, one can then fully describe the
curvature in space according to this chosen coordinate system. This
is where an interpretation matrix comes in to describe the curvature
of the geometry in space (invariant) based on this choice of
coordinate system.

During Christoffel's time (about a generation or two after Riemann),
the shortest distance through space that can be curved is physically
taken as a straight line connecting between two points in the
invariant space (not observed). The observed shortest distance does
not mean it is the shortest distance in actual space. Thus, the
minimizing quantity is then the integral of ds where ds representing
the actual geometry is described below.

ds^2 = Q_ij dq^i dq^j

Where

** Q_ij = Elements of the interpretation matrix [Q]
** dq^i = Observer's choice of spatial coordinates

After easily identifying the proper Lagrangian for this interaction,
the Euler-Lagrange equations (geodesics) thus all are referenced to ds
instead of dt (time). The geodesic equations according to
Christoffel's derivation specify how the observer's coordinate must
change from point to point to follow the path that would yield the
shortest distance between two points through the actual space itself.
It was assumed the geodesics would follow the same path of shortest
distance.

After Christoffel's work, the concept of differential geometry was
fouled by Ricci and his student Levi-Civita. The interpretation
matrix somehow became invariant. The interpretation matrix somehow
became the geometry itself independent of any choice of coordinate
system. This is totally wrong and absurd, but amazingly it believed
to be the case by the physicists to this day. This erroneous concept
actually does not change the mathematics of GR much. However, it
allows wild, absurd, and wrong interpretations to the mathematics of
GR that would prolong the eventual collapse of GR. With ever long
eventual collapse of GR, it would make the physicists ever more silly.

After Minkowski included time information into the equation above, the
interaction of extremizing becomes the longest distance between two
points in spacetime. The problem of allowing the geodesics to follow
the paths of maximum spacetime presents no problems for particles
other than photons. For photons, (ds = 0). Every path represents a
maximum accumulated spacetime already. It becomes very silly to have
photons propagate through space or spacetime by following the path
with maximum accumulated spacetime. Thus, the concept of a straight
line across spacetime as an extension from Christoffel's concept
applied to space only needs to be revised.

Luckily, the other mechanism to model the geodesics is the principle
of least time. Its discovery actually went back to the time of Snell
and Fermat almost 400 years ago. By allowing the geodesics to follow
the path with the least accumulated amount of time (observer's time,
dt), photons can now propagate through space or spacetime sharing the
same mathematics with other non-photons. However, this raises a
question. Why is the observer's time so important that justifies a
case for the principle of least time? Be patient.

With the principle of least time, all reference to change of position
becomes time or dt itself instead of utterly silly concept of ds. It
appears everything looks OK. However, if one examines the Euler-
Lagrange equation associated with r (using spherically symmetric polar
coordinate system) and with the Schwarzschild metric as the
interpretation matrix, one will find out at the following condition
for weak gravitation the acceleration d^2r/dt^2 will reverse the sign
and becomes anti-gravity. Photons will increase their speeds to
infinity. Yes, oops!

(dr/dt)^2 > c^2 (1 - 2 U)^2 / 3

Where

** U = G M / c^2 / r

The bottom line is that GR does not work - mathematically, logically,
and sensibly. This should answer the question raised above.

[hanson]http://groups.google.com/group/sci.physics/msg/47cc4181eb6470dd
All these little relativity vignettes are merely mental masturbations
by Einstein and/or his Dingleberries as long as they do use
[1] Newton's G and steps of [2] Newtonian mechanics,
in their relativistic pursuit and their equations. Them using [1 &2],
forces to carry with them, by necessity, any and all problems
baggage, short comings and defects attributed to [1 &2], that
Einstein & his Dingelberries are trying to get (unsuccessfully) rid of.

So, GR = BFD. It's a circular dance by Einstein Dingleberries
.... and it doesn't change that fact no matter how much they twist
and convolute the situation with frame dragging, matrices or barks
& cries that "GPS works", somenthing that so many loudmouthed
Einstein Dingleberries do... Whether the Einstein Dingleberries
like it or not,...All of them will remain by definition under the towering
influence & governing hand of Newton and his G, from which they
so far have tried to escape in absolute, not relative, vain... ahaha..

So, the only positive fact is that they TRY to ESCAPE.