On Sunday, September 29, 2024 at 8:04:32 PM UTC-6 Brent Meeker wrote:
A Galilean boost *could be* an accurate transformation in some other world, but it's not in this world. It's only an approximation at small boosts. There can be more than one mathematically consistent transformation but only one physically realized one. Brent I think you and JC are assuming ME are "true" and the GT is "false", and from this arises an inconsistency which manifests in a *non*-invariance of the former when the latter are applied. But the fact is that ME are *not* true, insofar as they assume EM waves are *continuous*. Consequently, I think I misinterpreted how equations written in tensor form transform under coordinate transformations. That is, there's a subtle but important difference between coordinate transformations, and frame of reference transformations. Specifically, the GT is *NOT* a coordinate transformation. For example, in coordinate transformations, such as between spherical and rectangular coordinates, all the coordinates are well-defined and fixed, but due to the motion assumed in a GT, this is not the case. AG On 9/29/2024 6:16 PM, Alan Grayson wrote: Sorry, but this doesn't work for me. The physical deficiencies of the Galilean transformation should not have any effect of the non-invariance of ME when it is applied. So the solution must relate to some error in my concept of the invariance of tensors under coordinate transformations. AG -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/215bbdd8-8f3c-46cb-993e-2a1d3e913237n%40googlegroups.com.
