The point of the rubber sheet model is that it's a 2D model of a 3D system A heavy ball on a rubber sheet warps it down. Roll a second lighter ball in a straight line along the sheet, and its path will be bent towards the second ball - not because of gravity, but because of the warped sheet of rubber.
And once again, the ball warps the rubber sheet because you once again think of a pre-conceived force beneath the sheet pulling it downwards. The rubber sheet analogy is the worst analogy one could ever use to describe space. Your spacetime is composed of nothing, since space is not an ether. So basically you want something to warp nothing, then nothing to tell something how to move. Not only that, you want this nothing to stretch and expand as well, and not just to expand but to accelerate as it expands.
So why do you treat it as an ether, then refuse to consider ether theories?
In 3D space, the effect is the same. Massive objects stretch space towards themselves, curving their trajectory and creating the 'force' of gravity. Einstein concluded space and time to be one object, spacetime, and so stretching space should also affect time - which it does.
No it doesn't. Nearness to a charged object affects the vibrational rate at which the cesium atom vibrates. The atom is controlled by the electromagnetic force.
Electromagnetism - Wikipedia, the free encyclopedia
"The electromagnetic force is the interaction responsible for almost all the phenomena encountered in daily life, with the exception of gravity. Ordinary matter takes its form as a result of
intermolecular forces between individual
molecules in matter.
Electrons are bound by electromagnetic wave mechanics into orbitals around
atomic nuclei to form
atoms, which are the building blocks of molecules. This governs the processes involved in
chemistry, which arise from interactions between the
electrons of neighboring atoms, which are in turn determined by the interaction between electromagnetic force and the momentum of the electrons...."
So the energy content of the atom determines the rate at which the atom oscillates, which is why acceleration also affects the rate at which clocks tick. When acceleration ends, the extra energy buildup is disipitated and the clock resumes normal operation. Unless of course you want me to believe that acceleration warps spacetime as well as objects of mass, and this warping during acceleration causes the cesium atom to vary in oscillation rates?
"The theoretical implications of electromagnetism, in particular the establishment of the speed of light based on properties of the "medium" of propagation (
permeability and
permittivity), led to the development of
special relativity by
Albert Einstein in 1905."
So based on the medium of propagation of the electromagnetic force, E developed SR. But yet there is no ether according to mainstream, no medium through which the force propagates. Space is composed of nothing, yet nothing warps, expands and accelerates. yah, if you say so.
It seems in modern astronomy nothing is responsible for quite a lot of things.
How do we know this is true? Because it correctly predicts how light bends around massive objects (classically, light shouldn't bend as much as it does). This was superbly demonstrated in the 1919 eclipse that allowed astronomers to observe that a star just behind the (now eclipsed) Sun wasn't where it should be, but was where GR predicted it should appear due to the Sun's warping of its path.
No, once again it is the medium through which the EM force propagates, it's permeability and permittivity that affects the electromagnetic force. This is why light bends in water (a medium) and why light bends around massive objects (the suns plasma atmosphere) and has nothing to do with gravity. Light is constant, does not slow or speed up near a gravitational source, but does slow when propagating through a medium. As it is also refracted, deflected or absorbed.
Refraction - Wikipedia, the free encyclopedia
"
Refraction is the change in direction of a
wave due to a change in its
transmission medium."
So as light passes through the solar atmosphere it is refracted, not bent by your imaginary warped nothing. Of this you have direct experimental results, that confirm it is the sun's plasma atmosphere that refracts the light, not your mythical warped space.
Nonsense. Mass stretches space, curving motion and creating the 'force' of gravity. It might be you're taking the rubber sheet analogy too literally - you know objects don't stretch space because of gravity, right?
Indeed, I know objects don't stretch space at all, because space is composed of nothing and there is nothing to stretch or to be bent.
Well, yeah: becuase that's not what the theory says. GR doesn't say it's a curvature of space, it says it's a curvature of spacetime. As well, don't forget that, per SR, all objects move at speed c through spacetime. If you're stationary in space, you're still moving at c through time. Start moving through space, and you experience time dilation (per SR).
No object is stationary, which is why the objects in your example accelerate to one another - their geodesics are bent towards each other, warping their trajectory through spacetime.
From the object's point of view, there is no force of gravity. It moves along its geodesic, along its locally straight line, and it experiences no inertial deviation.
No, moving charged objects curve in space as they near other charged objects because of the magnetic force. Of which once again we have a wealth of experimental evidence.
Charged Particle in a Magnetic Field
This is also why planets orbit the sun in the sun's magnetic field, and why moons orbit planets in their magnetic field, and why the sun orbits the galaxy in its magnetic field. All rotational affects are caused by electric currents, they do not begin to spin by chance from the collapse of interstellar dust as gravity pulls the material inward, Gravity is a spherical force, so the collapse should be equal from all directions, counteracting spin.
Birkeland current - Wikipedia, the free encyclopedia
GR, and its host of passed experiments, beg to differ. Space and time are one continuum, spacetime, as demonstrated by GR (and more directly by the effect gravity has on time; qv. GPS).
GR is simply a generalization of SR and SR was developed from the electromagnetic force (both Lorentz and Maxwell equations) and the effects of permeability and permittivity. SR is "On the Electrodynamics of Moving Bodies", being a generalization it can in no instance violate SR. That you fail to account for the Electrodynamics in GR is not E's fault, even he was never satisfied with GR.
Einstein's Pathway
"By his own later judgment, Einstein did not, in the end, find a theory that fully satisfied Mach's Principle. The immediate benefit of his new principle of equivalence, however, was that it let Einstein learn a lot about gravitation. For the principle delivered to Einstein one special case of a gravitational field that, he believed, conformed with relativity theory and in which all bodies truly fell alike. Einstein's program of research on gravity in the five years following 1907 was simply to examine the properties of this one special case and to try to generalize them to recover a full theory. His early hope was that the generalization of the principle of relativity would somehow emerge in the course of those investigations."
So your reliance on E's theory of GR, that he himself was not satisfied with is quite irrelevant. He hoped the generalization would emerge in later years, instead you threw in more Fairie Dust, expending and bending nothing. Dark matter, Dark Energy. All undetectable entities in your attempt to fudge the math of GR into a semblance of what we observe outside the solar system.
Don't get me wrong, GR is a good approximation of bound matter or matter in close confines where the electric and magnetic fields are balanced. But in the depths of space it fails utterly, and so Dark Matter, Dark Energy and bent nothing was invented in an attempt to fusge the math to fit observations in a universe dominated by unbound matter and matter NOT in close confines. Plasma, a distinct state of matter that does not behave like solids liquids and gasses (bound matter or matter in close confines where the EM forces are balanced). So once one leaves the vicinity of the solar system or center of galaxies, the math no longer works anymore and must be fudged by supernatural gap fillers.
Because the gravitational laws do not apply to unbound Plasma in space, the electromagnetic laws do. This is why Plasma does not behave like solids, liquids or gasses and is considered a distinct state of matter.
Plasma (physics) - Wikipedia, the free encyclopedia
"The presence of a non-negligible number of
charge carriers makes the plasma
electrically conductive so that it responds strongly to
electromagnetic fields. Plasma, therefore, has properties quite unlike those of
solids,
liquids, or
gases and is considered a distinct
state of matter."
Yet you treat it no differently in your math than those solids, liquids and gasses you say it behave quite unlike. Then you wonder why after you ignore what 99% of the universe is, you must add 96% Fairie Dust to make the math work. Word games and semantics is all you are left with.