General Relativity Time Dilation?

"So, would the person traveling through this bent space not notice any difference, because to him, each grid pattern square is the same. Would he be stretched with the same geometry as the square (but not notice it)?"

His local physics would appear the same. As he sped up, he would notice time dilation effects with others that were not going fast. (GPS satellites)

"Would he still think hes traveling at the same speed, from point to point as if there was no mass?"

Using local measurements, he'd assume the same speed, since he never felt acceleration. But he can see the Universe around him...

"Would the observer from above see him stretched out to fit the geometry the mass created? So he would look thin and long?"

No, he would be contracted along the path.

"IS this why he seems to be traveling so much slower than before?"

We would see him moving faster. Perhaps you mean his "clock rate" is going slower...?

You really don't get into the need for a black hole, or gravitational time dilation, until you have someone hovering at an event horizon, or some serious accelerations.

The "rubber sheet" analogy for spacetime is OK as far as it goes, but ultimately it is not correct and can be misleading.

In General Relativity, there is a background geometry between "spacetime events" (a firecracker going off at a certain place and time). But there is no physical substance to that curved manifold --- empty space is empty, not a rubbery "thing". The only thing that is measurable are spacetime events and the distance (proper time) between them.

That being said, quantum field theory or some kind of string theory may provide a physical basis for the "substance" of the vacuum. But we still have no "Unified Field Theory" that connects the General Relativistic idea of space and the quantum field idea of space.

ok, so... known Relativity is the final case (acceleration and major mass is tremendous), and particular Relativity is for non-accelerating frames of reference (so major mass isn't in touch). The Lorentz transforms are derived for relative inertial action between 2 frames of reference, and describe length contraction and time dilation (a 2 headed coin). evaluate image voltaic muons. contained in the laboratory, muons have a particular lifetime, and then decay. they're charged, and so are undemanding to go back across. In our surroundings, we see their lifespan dilated, they "decay slower" (time dilation). To the muons, in the experience that they were wakeful and conscious, their lifespan might want to be unchanged, yet they see our surroundings gotten smaller alongside their direction (length contraction). similar coin, 2 different sides. known Relativity actually consists of particular Relativity interior it. in case you pressure acceleration to 0, and lower price mass as trivial, you get particular Relativity. For that commemorate in case you're taking known Relativity, and enable the speed of light bypass to infinity, you get Newtonian gravitation, and gravitation as a pressure. "and can want to we are saying redshifts are linked to time dilation?" A guarded sure. If a deliver is passing by making use of us, we see their finished "time dilation result" as redshift. in the experience that they are coming in the direction of us, the blue classical Doppler shift will be a lot more effective than the time dilation ingredient. Likewise in the experience that they are shifting remote from us (Doppler result's "additive" there). Then once you get to known Relativity, if the "deliver" triggered a supernova because it handed a particular length star, the period for the deliver's occupants might want to be an similar, inspite of the undeniable fact that the longer in the past it occurred for us, the slower we see it ensue now. there are quite some aspects which could be fascinated about "pink shift"...

What pulls the heavy ball against the grid? It's a nice picture because it seems normal to the eye and one assumes that gravity pulls the ball down, but gravity is what you are trying to explain. That is called a circular definition.