On 6 mar, 23:02, Eric Gisse wrote:
On Mar 6, 11:41 am, Albertito wrote:

There are evidences showing that in Solar system,
the speed of gravity is many orders of magnitude higher
than the speed of light.

No, there is not. Just because you say so doesn't mean it is true.

But, what must we understand
by speed of gravity?. Aetherists often claim that gravity
are longitudinal waves, whereas light are transverse
waves through the aether.

Why even mention this? Ether has been ruled out as a viable concept
EVERY SINGLE TIME for the last hundred and thirty years. Nobody but
cranks in the fringe take ether seriously anymore.


What is spacetime but a kind of ether?

We know that in any medium
longitudinal waves travel faster than transverse waves.

Only if the medium is anisotropic. Where are the calculations in which
you actually derive the things you write?

Wrong. Anisotropy is not a requirement for the speed of longitudinal
waves were higher than the speed of transverse ones. In isotropic
and homogenous medium that difference in speed holds too.

We can find that longitudinal speed, c_L, and transverse
c_S, in a medium, with Young's modules E, Poison's ratio
v and mass density d_0, are

c_L^2 = (E/d_0(1+v))(1-v)/(1-2v)
c_S^2 = (E/d_0(1+v))(1/2)

Stating the answer without derivation isn't acceptable anywhere, why
do you think we will accept what you write down without
rationalization?

I do not expect you will accept anything coming from me :-)
I know I've introduced some conjetures on my equations, without
rationalization. For example, to define the scale parameter
R = R_h (Hubble radius) is hand-waving. Actually that scale
parameter could be tuned to be exactly a Schwarzschild radius,

R = 2 GM/c^2

and the quadratic form c_L^2 + c_S^2 = c^2 (R/l_p)^2, would read

c_L^2 + c_S^2 = (2 GM/c l_p)^2,

Knowing that l_p = sqrt(h_bar G/c^3), it would get

c_L^2 + c_S^2 = 4 c G M^2/h_bar

But, a Planck mass is defined as m_p = sqr(h_bar c/G), so

c_L^2 + c_S^2 = 4 c^2 (M / m_p)^2

And, in a place where c_S = c, it would yield

c_L^2 + c^2 = 4 c^2 (M / m_p)^2,
c_L^2 = c^2 ( 4(M / m_p)^2 - 1),
c_L = c sqrt ( 4(M / m_p)^2 - 1).

If that value c_S = c is measured locally here on the Earth,
and M is the mass of the Sun, you can easily compute the
speed of gravity the Sun induces here on Earth. For practical
purposes, we can approximate that c_L to read

c_L = 2c (M / m_p).