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Einstein's other uh-oh
Mr. Perfect
Member, Moderator Posts: 66,437 ******
I was looking through the Einstein field equations today and pondered over a point I'd missed before. Einstein included a gravitational constant that is dependent on the Newtonian derived constant. Of all the terms in the field equations this has as much or more uncertainty than any of them. In SI units, the 2018 CODATA-recommended value of the gravitational constant (with standard uncertainty in parentheses) is:
G = 6.67430 ( 15 ) × 10 − 11 m3 ⋅k g− 1 ⋅ s− 2
This corresponds to a relative standard uncertainty of 2.2×10−5 (22 ppm).
Thus k from the field equations is ≈ 1.866×10−26 m⋅kg−1
[thank you wikipedia for that quick lookup]
So, it's a pretty small term, meaning its impact on the solution set is correspondingly small, but it's pretty inaccurate regardless, and the term gets divided by a very large term (the speed of light) making it practically meaningless (10^-26 is pretty small). So, while we really don't know what that number actually is, it's a curious factor to include if the impact is going to be so small.
Clearly Einstein thought this fudge factor was important. Still, I expected better. Einstein thought his initial cosmological constant was the biggest blunder of his life. Maybe so but this seems a close second and no one seems to be talking about it.
Some will die in hot pursuit
And fiery auto crashes
Some will die in hot pursuit
While sifting through my ashes
Some will fall in love with life
And drink it from a fountain
That is pouring like an avalanche
Coming down the mountain
And fiery auto crashes
Some will die in hot pursuit
While sifting through my ashes
Some will fall in love with life
And drink it from a fountain
That is pouring like an avalanche
Coming down the mountain
Comments
"It is very hard for mere humans to decipher the fantastic machine that God has set into motion." Mohawk600 2020.
Maybe FCD meant quantum physicists? I dunno, but it is an odd claim either way. Many like Malcolm MacCallum certainly weren't.
And fiery auto crashes
Some will die in hot pursuit
While sifting through my ashes
Some will fall in love with life
And drink it from a fountain
That is pouring like an avalanche
Coming down the mountain
Einstein recreated the interaction of mass, velocity, light, and time within the confines of his skull. From any measure he was correct on almost all points.
a little uncertainty at the margins is not, IMO, anything approaching failure.
Brad Steele
I'm not saying failure, and "blunder" is Einstein's own term for the cosmological constant error he made. I'm merely suggesting that if that term was the biggest (in these equations) then this is the second.
And fiery auto crashes
Some will die in hot pursuit
While sifting through my ashes
Some will fall in love with life
And drink it from a fountain
That is pouring like an avalanche
Coming down the mountain
only if your not a relative, has something to do with his theory of relatives.......
the theory of relativetitty