On Sunday, February 24, 2019 at 4:49:45 PM UTC-7, Lawrence Crowell wrote: > > On Sunday, February 24, 2019 at 5:31:35 PM UTC-6, [email protected] > wrote: >> >> >> >> On Sunday, February 24, 2019 at 6:41:00 AM UTC-7, Lawrence Crowell wrote: >>> >>> On Friday, February 22, 2019 at 4:40:31 PM UTC-6, [email protected] >>> wrote: >>>> >>>> >>>> >>>> On Friday, February 22, 2019 at 1:34:31 PM UTC-7, Brent wrote: >>>>> >>>>> >>>>> >>>>> On 2/21/2019 10:47 PM, [email protected] wrote: >>>>> >>>>> >>>>>> >>>>> *Even if gravitons are detected, and they account for "force" >>>>> consistent with the other three forces, wouldn't there remain the task of >>>>> changing the form of gravity to make it covariant? AG* >>>>> >>>>> >>>>> Gravitons, as quanta of the metric field, are already relativistic >>>>> particles and covariant. >>>>> >>>> >>>> *I thought it's the equations of motion for the particular force, not >>>> the mediating particles, that must be covariant. On a related topic for >>>> this thread, where does GR depart from Mach's principle? That is, what did >>>> Einstein implicitly (or explicitly) deny about Mach's principle? TIA, AG * >>>> >>>>> >>>>> *Would that require tensors? AG* >>>>> >>>>> >>> General relativity is covariant, and curvature is expressed according to >>> Riemann tensors. >>> >>> LC >>> >> >> *Thanks, but I think you missed the thrust of my question; namely, if a >> theory using gravitons is independent of GR, since it would have to be >> covariant, could that be done without tenors, or are tensors nevertheless >> necessary. AG* >> > > Tensors transform homogeneously with the Lorentz group and are thus > covariant. Yep you need tensors. > > LC >
*Are you assuming uniqueness to tensors; that only tensors can produce covariance in 4-space? Is that established or a mathematical speculation? TIA, 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 post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
