The discussion centers on the evidence supporting the speed of light in a vacuum as an absolute constant, specifically its invariance across different inertial frames. While the speed of light is a postulate in Einstein's theory, participants seek direct experimental evidence confirming this invariance rather than broader implications of Special Theory of Relativity. The Michelson-Morley experiment is noted as a historical test, but the conversation emphasizes the need for specific evidence that demonstrates light's constancy over time and across frames. Clarifications are made regarding the terminology of "constant" versus "invariant." Overall, the inquiry highlights a desire for concrete experimental validation of the speed of light as an absolute constant.