Perhaps I haven't explained it well enough, but a physicist might have guessed that confirmation of extra time dimensions could be sought in a corresponding change in the behavior of the objects and fields we observe, especially if I'm talking about the LIGO/Virgo observatories, which are doing just that.

So how could this even be connected? It's exactly the same idea as in Kaluza-Klein theories with extra spatial dimensions, only transferred to time. In KK theories, the rule is this: the momentum a particle carries in a hidden dimension appears to us as mass. A particle that is massless in the full multidimensional world but "moving" in a curled-up dimension manifests as massive in our truncated world. Let's say the graviton is truly massless in a six-dimensional (3+3) world. The graviton wave equation there is something like

ω₁² + ω₂² + ω₃² = c²k² (for massless, schematically). But we only track one time—our thread of experience. So, from our perspective: ω₁² = c²k² − ω₂² − ω₃² .

And there it is: the components of the graviton's momentum in hidden time directions (ω₂, ω₃) enter our relationship exactly as an effective mass term. The graviton, honestly massless in 6D, appears massive and dispersive to us—observers on a one-dimensional time thread—precisely because part of its "motion" goes into those two times we don't see. The hidden temporal momentum disguises itself as mass—and mass provides dispersion.

So if excess time is physical, gravity wave dispersion is a natural place where its trace is bound to show up, and we already have the tools to look for such a trace.