On Sunday, September 29, 2024 at 12:29:34 PM UTC-6 John Clark wrote:

On Sun, Sep 29, 2024 at 2:07 PM Alan Grayson <agrays...@gmail.com> wrote:

* >> Galilean relativity is a very good approximation of reality as long as 
the speeds don't become too high, and it would also be completely invariant 
under coordinate transformation IF Galileo's assumptions were correct; 
namely that 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.  To put it another way, invariant Galilean transformations are 
mathematically consistent BUT experiment shows they are NOT physically 
consistent because Galileo's physical assumptions were NOT correct. It is 
necessary that a physical theory be mathematically consistent but it is not 
sufficient.*


*> Something's still awry. You agree that tensor equations are invariant 
under coordinate transformations, and that the Galilean transformation is a 
coordinate transformation, so that should be enough for ME to be invariant 
under the GT. Yet you assert it isn't.*


*All Galilean tensor equations are 100% mathematically consistent, but 
physically they are not even approximately correct unless the speeds are 
very low, and if you're talking about Maxwell's Equations the speeds are 
very high. You can have Galilean transformations that are mathematically 
invariant with any change of coordinates, but  they are not physically 
consistent with experimental results because they contain assumptions which 
turned out not to be physically true. *


*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*



 John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis> 
npy



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