#SpeedOfLight The Lambda-Cold Dark Matter (Lambda-CDM) model fits the cosmological data perfectly, including the results obtained with the Cosmic Microwave Background (CMB) model.
Given the metric tensor g_ij, with i and j being 0, 1, 2 or 3 at a given point in space. We also have a fixed three dimensional unit vector e^i with i being 1, 2 or 3. Using Einstein Notation define
\alpha = (1/g_{ij} e^i e^j) \left( \sqrt{ (g_{0i} e^i)^2 - g_{00}} - g_0i e^i \right)
Can we show that alpha is invariant under coordinate transformation. I asked an AI, said "yes". But????
Why should this be possible? See here: https://blog.miamao.de/blog/Speed_of_Light_from_Metric.html