On Sunday, September 29, 2024 at 6:08:07 AM UTC-6 John Clark wrote:
On Sun, Sep 29, 2024 at 6:57 AM Alan Grayson <agrays...@gmail.com> wrote: *>> Yes and that's why Maxwell's Equations needed no modification to be consistent with Special Relativity or General Relativity, although they are inconsistent with Quantum Mechanics. Maxwell's theory predicted what the speed of light would be but it didn't say what specific thing that speed was relative to; before Einstein came along some thought that was a flaw in the theory, but it turned out to be its greatest triumph. * *> Does your "Yes" mean that ME will remain invariant under a Galilean transformation* *No. Galilean Relativity assumes there is no speed limit in the universe, and velocities always combine linearly even if they're going close to the speed of light, and simultaneity is an objective fact because time is the same for all observers. Einsteinian Relativity makes none of these assumptions. So Maxwell's Equations are inconsistent with Galilean Relativity but not with Einsteinian relativity. According to Galileo you could travel as fast as a beam of light and if you did you would see a frozen electromagnetic wave that did not change with time, but Maxwell had no equation that described such a thing. That inconsistency was the primary motivation Einstein had for developing Special Relativity.* *But ME are written in tensor form. Doesn't that mean the equations are invariant under coordinate transformations? If so, shouldn't ME be invariant under the Galilean transformation, which is a coordinate transformation? Where has my logic gone awry? TY, AG. * John K Clark See what's on my new list at Extropolis <https://groups.google.com/g/extropolis> der -- 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 everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/6bd2e727-1f49-478b-800b-a0f706db8b40n%40googlegroups.com.
