Why speed of light is constant to all observers?
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helloo..
Ultimately, it's due to the fact that spacetime is a Minkowski spacetime, with exactly one timelike dimension (i.e. it has the opposite metric from the space dimensions, such that a straight line is the longest distance between two points). The speed of light is nothing more than the conversion factor between the spacelike dimensions and the timelike dimension, and we wouldn't even need that if we'd picked the units right in the first place. In natural units, the speed of light is exactly 1, and there is no difference between a space measurement and a time measurement.
Within that spacetime, energy is conserved as a consequence of time symmetry: the laws of physics remain the same no matter what time they occur at. (This is demonstrated via Noether's Theorem, which when applied to space also yields conservation of momentum, and which when applied to rotation yields conservation of angular momentmum). A massless object like light will always move in the timelike direction and the spacelike direction identically and oppositely. Mass causes it to move more in the time direction than the space direction, and so will appear in 3-space to always move slower than the speed of light.
hope this helps you!!
Ultimately, it's due to the fact that spacetime is a Minkowski spacetime, with exactly one timelike dimension (i.e. it has the opposite metric from the space dimensions, such that a straight line is the longest distance between two points). The speed of light is nothing more than the conversion factor between the spacelike dimensions and the timelike dimension, and we wouldn't even need that if we'd picked the units right in the first place. In natural units, the speed of light is exactly 1, and there is no difference between a space measurement and a time measurement.
Within that spacetime, energy is conserved as a consequence of time symmetry: the laws of physics remain the same no matter what time they occur at. (This is demonstrated via Noether's Theorem, which when applied to space also yields conservation of momentum, and which when applied to rotation yields conservation of angular momentmum). A massless object like light will always move in the timelike direction and the spacelike direction identically and oppositely. Mass causes it to move more in the time direction than the space direction, and so will appear in 3-space to always move slower than the speed of light.
hope this helps you!!
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