Detecting Space Time: Gravitational Radiation

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Space-time detection can be approached through methods like gravitational radiation, but it is not the only way. The discussion highlights that measuring the curvature of space-time, as explored by Gauss, involves examining the angles of large triangles in a geodesic context. Using rigid materials for such measurements poses challenges due to the principles of relativity, which suggest that no materials are perfectly rigid. Instead, utilizing laser beams can provide more accurate representations of straight lines, revealing the curvature of space-time as light bends around massive objects. Overall, the conversation emphasizes the complexities and methodologies involved in detecting and understanding space-time.
wolram
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It is just a thought, but how can space time be detected? i guess gravitational radiation is one way, is this the only way?
 
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Detected? It's not really like a tangible thing. I guess if you wanted to have experiment supporting the notion of space-time, you'd just have to look to those verifying special and general relativity or relativistic quantum mechanics etc.
 
Almost by definition, if something happen somewhere, then that 'somewhere' belongs to spacetime.
 
radar detection

wolram said:
It is just a thought, but how can space time be detected? i guess gravitational radiation is one way, is this the only way?
If you think about the space time coordinates of a distant event you could use the radar or photographic detection.
 
AFAIK Gauss was the first to examine the properties of space. When working as a geodesist he checked the sum of angles of large triangles (~100 km). Of course he found no significant deviation from 180°.
 
It's not at all clear what you mean by "detect space-time". Ich assumed you meant "detect the curvature of space-time" which is probably the best interpretation. As he said, Gauss attempted to determine if space is Euclidean by measuring the angles in a triangle formed by 3 mountain peaks using the best surveying equipment. He found any deviation from 180 degrees to be less than the error of measurement.

One difficulty with that is defining how you are going to measure things. Imagine using, say, Pluto, Uranus, and Neptune, at times when they are farthest apart in their orbits, as vertices of a triangle and thin steel bars as straight edges! Since, in relativity, there are no perfectly rigid materials, those bars would "sag" inward toward the sun- you would find the angles to be less than 180 degrees- elliptic geometry- and dependent upon the rigidity of the materials.

It would make much more sense to use laser beams as straight lines. Since it has been experimentally verified that light beams bend as they pass a star (the sun), your lines would appear curved and you would find the sum of the angles to be greater than 180 degrees- hyperbolic geometry- and that the curvature changed from moment to moment as the masses in the system moved.
 
MOVING CLOCKS In this section, we show that clocks moving at high speeds run slowly. We construct a clock, called a light clock, using a stick of proper lenght ##L_0##, and two mirrors. The two mirrors face each other, and a pulse of light bounces back and forth betweem them. Each time the light pulse strikes one of the mirrors, say the lower mirror, the clock is said to tick. Between successive ticks the light pulse travels a distance ##2L_0## in the proper reference of frame of the clock...

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