From: ralivingston1952@charter.net   
      
   On Friday, April 19, 2019 at 3:57:47 PM UTC-5, J.B. Wood wrote:   
   > On 4/18/19 10:48 AM, Rich L. wrote:   
   >   
   >>   
   >> The key to understanding how general relativity explains gravity   
   >> is to focus on the time metric component, g_00. This is the component   
   >> that results in the gravitational red shift, which, in simple terms,   
   >> says that an oscillator at one elevation in a gravitational field   
   >> will appear to have a lower frequency when viewed from a higher   
   >> elevation, and conversely will appear to have a higher frequency   
   >> when viewed from a lower elevation.  (it is incorrect to say that   
   >> the frequency changes; no matter where the oscillator is located,   
   >> an observer at the same elevation will always observe the same   
   >> frequency.)   
   >>   
   >> Now consider a particle at rest (momentarily) in a gravitational   
   >> field.  As reqpresented in quantum mechanics this particle will be   
   >> a wave function with a frequency proportional to its mass, and the   
   >> wave function will be a fuzzy blob extending over some region of   
   >> space.  Because the particle is at rest, all parts of the wave   
   >> function will have the same phase.  Because of the gravitational   
   >> red shift, the lower parts of this wave function will change phase   
   >> at a lower frequency than higher parts.  As a result the wave   
   >> function will quickly get out of phase.  The result is a linear   
   >> change in phase with altitude, which quantum mechanically means it   
   >> has momentum, and it is a momentum that grows with time.  i.e. a   
   >> force.   
   >>   
   >> Rich L.   
   >>   
   >   
   > Hello, and is the above hypothesis shared among rank-and-file   
   > physicists?  You're bringing QM concepts into GR and I thought the   
   > theoretical/experimental physics community is still wrestling with that.   
   > Can what I posted previously be explained by Einsteinian GR?  I don't   
   > see how the "oscillator" concept translates to a (apparent) force   
   > without the use of QM concepts.  Sincerely,   
   >   
   > --   
   > J. B. Wood	            e-mail: arl_123234@hotmail.com   
      
   The purely GM way to calculate the acceleration of gravity (i.e. the   
   "force" of gravity) is to calculate the covariant derivitive of the   
   particles 4-volocity.  In GR, the 4-velocity represents the motion of   
   the particle not just along spatial coordinates but along time as well.   
   The covariant derivitive calculates the path of "parallel displacement"   
   in space-time.  The QM wave function description I gave is a physical   
   realization of parallel displacement.   
      
   Many physicists who study GR do so mathematically and may thus be   
   unaware of the physical explanation I gave, but many do appear to have   
   this understanding.  Occasionally I see comments relating gravitational   
   acceleration and the gravitational red shift.   
      
   BTW, the g_00 effect is not the only one affecting orbits, at least in   
   extreme fields.  The radial metric, g_rr, affects the magnitude of   
   "centrifugal force", i.e. the apparent (fictitious) force that causes   
   orbiting objects to want to fly off into space instead of stay on their   
   curved orbital paths.  At the event horizon, if g_00 could be turned off   
   (g_00 uniform everywhere), an object could follow a circular orbit at   
   any speed even without any gravitational acceleration pulling it toward   
   the black hole. This is because the geometry of space is such that, to   
   the orbiting particle, the circular orbit is a straight line that closes   
   on itself.   
      
   Rich L.   
      
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