[Yahya A.Sharif (OP)]

The space-time curvature is impossible to exist in a 3-dimensional space.  A  ball of metal in space according to GR curves  space-time but how?

Let's say the  ball represents 10  parts of mass from the top to the bottom.
There are three ways that this ball can curve a 3-dimensional space-time :


1) The bottom part curve with greatest degree of curvature. In this case the curvature degree will reduce while we move from the bottom to the top.
Why the curvature starts from the bottom to the top? this a problem of where in space-time the curvature will be stronger. if it in contrary it starts from the top to the bottom the points in space at the top will curve stronger than the points of space at the bottom

2) If the curvature is equal in all these parts. Why it is 10 parts with x tension why not 20 parts with y tension. y tension cannot equal x tension. A 1/10 mass will not curve as a 1/20 mass . I can divide the ball with portions as I want 20, 50, etc ( Integration can be used here ) For each case the curvature tension will be different giving different results.
 .
3) if this is not the case and the the curvature starts bigger from both the top and the bottom and equal at the top and at the bottom then the curvature in such case will decrease from both sides until it supposed to reach zero at the center of the ball. A mass is not one thing it consists of atoms and has gaps between atoms. If it consists of atoms then I can divide it into parts. According to this I have 10 parts each part has a top and a bottom if the bottom of the first part curves space then the top of the next part(lower) will curve in an opposite direction according to this type of curvature ( curvature can be downwards or upwards here) The same thing,  if the bottom of the atom  curves space then the top of the next atom (lower) will curve in an opposite direction. A mass will not undergo gravity between two curvatures in opposite directions the curvature of the first atom cannot reach the curvature of the next atom both curvatures are of opposite directions. The curvature of the first atom downwards is not infinite( if so the atom will give infinite gravity) It has a limit in space the lower atom has a limited curvature in space ( or gravity will be infinite) if both curvatures ( in opposite directions) are in limited in  place in space then there must a place in between the atoms that gravity does not exist but gravity between the atoms for a mass m exists.

If in the above ways the mass fails to curve space-time in a 3-dimensional space-time then the concept of space-time curvature is not valid.

[Bored chemist]

The space-time curvature is impossible to exist in a 3-dimensional space. 

I don't think anyone said it was.
But it's  not a problem in 4 dimensional spacetime.

[Yahya A.Sharif (OP)]

The space-time curvature is impossible to exist in a 3-dimensional space.

I don't think anyone said it was.
But it's  not a problem in 4 dimensional spacetime.

What I mean is space-time volume (x.y,z).

[Bored chemist]

We actually live in spacetime.
Who cares what would happen in "pure" space?
The obvious answer is " nothing could happen because changes take time."

[Yahya A.Sharif (OP)]

We actually live in spacetime.
Who cares what would happen in "pure" space?
The obvious answer is " nothing could happen because changes take time."

This shows that space-time curvature whether it is pure volume or (x,y,z,t) the curvature we now cannot happen.

[Bored chemist]

It happens.

[Kartazion]

This shows that space-time curvature whether it is pure volume or (x,y,z,t) the curvature we now cannot happen.

What then do you propose as a model to explain the curvature of space-time which is produced by the effect of gravity through the mass or energy of an object?

[Yahya A.Sharif (OP)]

We actually live in spacetime.
Who cares what would happen in "pure" space?
The obvious answer is " nothing could happen because changes take time."

Space-time curvature occurs in the geometry of space which is 3-dimensional ( x,y,z) it has nothing to do with time.

[Kartazion]

Yes the volume is independent of time. But defining a volume is for us scientific due to observation, and this volume observation takes a short time t. But in a second time space-time is linked one by the other.

[Kryptid]

I have to admit that I don't understand what your argument is.

Space-time curvature occurs in the geometry of space which is 3-dimensional ( x,y,z) it has nothing to do with time.

Space-TIME curvature obviously does have to do with time, otherwise the word "time" wouldn't be in "space-time".

[Yahya A.Sharif (OP)]

Space-time curvature occurs in the geometry of space which is 3-dimensional ( x,y,z) it has nothing to do with time.

Space-TIME curvature obviously does have to do with time, otherwise the word "time" wouldn't be in "space-time".

motion is the displacement per time. For a mass moving at v we can measure its length independently without refering to time, it starts at 0 displacement and elapsed 4 m at a moment , it has a co-ordinate of 4 in the y-axis regardless of the time. Space  is lines of co-ordinates (x,y,z) and theses lines are supposed to curve in the existence of a mass. And as I wrote in the OP there are 3 possiblities that mass can curve space geometry and all of them fail to exist.

[Kryptid]

And as I wrote in the OP there are 3 possiblities that mass can curve space geometry and all of them fail to exist.

And that's the part that I don't get, which is probably a language barrier problem. I don't know what you mean when you say "10 parts of mass" or "the bottom part curves with the greatest degree of curvature." We do have plenty of experiments demonstrating space-time distortion, however. Relativistic precession, the geodetic effect and gravitational lensing have all been detected.

[Colin2B]

[quote ….as I wrote in the OP there are 3 possiblities that mass can curve space geometry and all of them fail to exist.

Even by the standards of New Theories this is the most incredible gibberish I’ve come across.
As has been said, it is impossible to make any sense of what you are saying it is so incorrect.

[Yahya A.Sharif (OP)]

And as I wrote in the OP there are 3 possiblities that mass can curve space geometry and all of them fail to exist.

I don't know what you mean when you say "10 parts of mass" or "the bottom part curves with the greatest degree of curvature

https://sketchfab.com/3d-models/curved-spacetime-7e4915bbbddd4713b2d598abbae809c9
low degree  curvature is where the lines are closer to be straight lines away from the earth , high degree curvature is where the lines are more curved  closer to the earth. low degree curvature gives weaker gravity as we move away from the earth.

If you rotate the 3d model you can see that this is the possiblity #3 in which the lines are more curved at the edges of earth and no curvature at the centre of earth(straight lines)

A mass is not one thing it is divided into atoms each atom is a separte mass . If we consider this kind of curvature then each atom curves space at its edges and a nearby curves space at its edges too.

The picture in the attachment shows that for the two atoms there are curvatures in opposite directions. This makes that there is a place where curvature does not exist or 0 gravity between the two atoms but this is not true gravity does exist so the curvature violates the concept of gravity.

[Kryptid]

This makes that there is a place of 0 gravity between the two atoms but this is not true gravity does exist so the curvature violates the concept of gravity.

I think you are taking the concept of "curved" space too literally.

[Yahya A.Sharif (OP)]

This makes that there is a place of 0 gravity between the two atoms but this is not true gravity does exist so the curvature violates the concept of gravity.

I think you are taking the concept of "curved" space too literally.

So I am right according to my understanding of curvature? sorry my understanding is not literal this is how curvature works.

[Colin2B]

So I am right according to my understanding of curvature?

No, all the time you are talking about curvature of space, which everyone agrees is flat. However, the diagrams you show eg https://sketchfab.com/3d-models/curved-spacetime-7e4915bbbddd4713b2d598abbae809c9 refer to curved spacetime.

[Georginajackson]

We actually live in spacetime.
Who cares what would happen in "pure" space?
The obvious answer is " nothing could happen because changes take time."

Space-time curvature occurs in the geometry of space which is 3-dimensional ( x,y,z) it has nothing to do with time.

It doesn't, in fact it has.

[The Spoon]

We actually live in spacetime.
Who cares what would happen in "pure" space?
The obvious answer is " nothing could happen because changes take time."

Space-time curvature occurs in the geometry of space which is 3-dimensional ( x,y,z) it has nothing to do with time.

It doesn't, in fact it has.

Could you clarify what you mean?

[Origin]

Space-time curvature occurs in the geometry of space which is 3-dimensional ( x,y,z) it has nothing to do with time.

If that was true then a bullet shot from a gun and a ball thrown would follow the exact same path, so would a photon for that matter.