Space Time Continuum: A Scientific Analysis

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Naveen3456
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It is said that the space time continuum gives rise to space and time.

So, is space time continuum a mixture of space and time or something totally different from space and time? Plz elaborate as per current scientific understanding only. No out and out philosophy please?
 
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"space time continuum" is a name for "space and time". I don't think it makes sense to say "it gives rise to space and time". Does 6 give rise to 2 and 3, as 2*3=6?
 
Mathematically spacetime is a pseudo-Riemannian manifold. I am not sure what you are after for the rest of your question.
 
Naveen3456 said:
It is said that the space time continuum gives rise to space and time.

So, is space time continuum a mixture of space and time or something totally different from space and time? Plz elaborate as per current scientific understanding only. No out and out philosophy please?
In GR reality is completely described using a curved four dimensional surface. Time evolution is just a gauge choice.
 
Naveen3456 said:
It is said that the space time continuum gives rise to space and time.

So, is space time continuum a mixture of space and time or something totally different from space and time? Plz elaborate as per current scientific understanding only. No out and out philosophy please?

Take two points that are separated only in space, i.e. two points that occur at the same time, in some specific reference frame.

For simplicity, assume there's no gravity, so that we can use only SR and don't need to use GR.

THen in some other reference frame, the two points that occurred at the same time occur at different times, due to the relativity of simultaneity. So they are separated in both space and time.

Thus we are led to the conclusion that space and time must intermix, somehow. One observer's purely spatial separation appears to be a separation in space and time to another observer.