Is the Speed of Light Truly Constant in General Relativity?

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The discussion centers on whether the speed of light remains constant in the context of General Relativity (GR). Participants agree that while the speed of light is constant for all observers in local, flat regions of spacetime, its measurement can vary depending on the observer's state of motion and gravitational influences. The distinction between speed (a scalar) and velocity (a vector) is emphasized, noting that while speed remains constant, velocity can differ due to direction changes in a gravitational field. The complexities of measuring light speed in curved spacetime are acknowledged, highlighting that there is no standard way to define it globally. Ultimately, the speed of light is a fundamental aspect of both special and general relativity, but its measurement can be context-dependent.
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These issues are fairly complex and explaining them accurately and unambiguously to someone who is asking a "simple" question is not so simple. Dr Greg's posts above are, I believe, precisely accurate. Rereading my own initial post, I would now change a few words, but likely the poster would not have gained any additional insights anyway...

The speed of light being constant to all observers is one of the fundamental aspects of special relativity, so it can't be different in general relativity, as it arose from special relativity.

This statement is not precisely accurate because special relativity implies constant velocity and no curvature of space (no gravity); general relativity involves curvature of space and acceleration and only simplifies to special relativity under certain circumstances...no gravity, no acceleration...
 

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