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We were always taught that light travels in straight lines. Draw a straight line on a sheet of paper. Then curve the paper a little. Now the line is cured (bent) but still moving In a straight line. Conclusion is that space has curved.
No. The conclusion is that the sheet of paper has curved. The space around it, hasn't curved at all
Quote from: charles1948 on 13/02/2021 20:56:41No. The conclusion is that the sheet of paper has curved. The space around it, hasn't curved at allIt's an analogy.
The curvature of space is real. It can be measured.
How can it be measured.
Quote from: charles1948 on 13/02/2021 21:26:18How can it be measured. By measuring things like gravitational lensing.
The geometry of curved space is different from that of flat, Euclidean space. That leads to different physical consequences, such as the anomalous orbital precession of Mercury. General relativity makes precise, quantitative predictions based on gravity being a distortion of space-time, resulting in predictions such as the geodetic effect (which has been measured and found to align with the predictions of general relativity by Gravity Probe B).
Do you think Einstein just got very lucky?
But what happens when his ideas are applied to the wider Universe? Such as the Galaxies.
Quote from: charles1948 on 13/02/2021 21:26:18How can it be measured.One way is to measure (with a tape measure) the diameter of Earth, and then its circumference. This isn't practical of course since you can't pass a tape measure through Earth, and it is hard to line up if held off to the side, but if you did, the circumference would definitely be less than the diameter * π. This can only be explained with non-Euclidean spacetime, and is quantified precisely by Einstein's field e
Surely the tape-measure would have to be pulled out by using energy, which would increase its mass, thereby making it expand, so it would give the measurement when it was looked at?