On Friday, March 21, 2025 at 6:51:18 AM UTC-6 John Clark wrote:

On Thu, Mar 20, 2025 at 11:47 AM Alan Grayson <[email protected]> wrote:

*> Is the gravity wave detected by measuring the vibrating change of the 
distance between the two separated locations of the detector? If so, how is 
this a variation of spacetime, instead of just a measurement of spacial 
differences? AG*

 

*LIGO detected the peak to peak displacement that a gravitational wave 
caused, *


*What exactly is waving, space or spacetime, or something else? Variations 
of time? Time of what? AG*
 

*it does not detect the RMS power in a wave, that's why LIGO's ability to 
detect gravitational waves only decreases by a factor of 1/r not by 1/r^2 
as conventional telescopes that use light or any form of  electromagnetic 
waves do. However gravitational waves with enormously longer wavelengths 
can and have been detected by variations in time, not space, by  using 
pulsars, a.k.a. neutron stars. They detected a gravitational wave "hum" 
with wavelengths light-years long that were almost certainly caused by the 
millions of merging supermassive Black Holes, each being billions of times 
more massive than the sun, that have occurred since the Big Bang.*

*The NANOGrav 15 yr Data Set: Constraints on Supermassive Black Hole 
Binaries from the Gravitational Wave Background* 
<https://arxiv.org/pdf/2306.16220>

*It is also been propose that when Thorium 229 nuclear clocks are perfected 
they could be used to detect gravitational waves. *

*Breakthrough promises new era of ultra precise nuclear clocks * 
<https://www.science.org/content/article/breakthrough-promises-new-era-ultraprecise-nuclear-clocks>


*John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>*2


*The gravitational potential energy of an object at a particular location 
is related to how much slower time runs there compared to infinity where 
spacetime is flat, let's call that factor X. The weaker the gravitational 
field is the closer  X comes to be equal to 1. On Earth's surface gravity 
is so weak X is 0.9999999997, so you can simplify the very complex tensor 
equations in General Relativity to the simple Newtonian equations you 
learned in high school and you get an excellent approximation. *

*However when gravity starts to get strong X starts to approach zero, and 
at a Black Hole it is zero, so in General Relativity the Newtonian idea of 
energy, and not just gravitational potential energy, becomes problematic.  
General Relativity doesn't consider energy and momentum to be two separate 
things, there is only the "stress–energy–momentum tensor", it is a complete 
description of how much stuff there is and how it is moving and flowing and 
exerting pressure or tension.  But the result is when gravity becomes very 
large and space-time has become very curved you can't point to a spot and 
ask how much gravitational potential energy is there at that point because 
the question has become meaningless . *

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