RE: Brace yourselves for gravitational waves
February 13, 2016 at 5:14 am
(This post was last modified: February 13, 2016 at 5:25 am by Alex K.)
Newtonian mechanics also went beyond what Newton could calculate or prove. He himself derived Kepler's laws from his differential equations. Only later workers like Laplace and Lagrange realized that one can describe the influences of different planets on each other and hence the Solar system as a whole based on Newtonian mechanics and perturbation theory (and hence work out predictions like the position of yet unknown planets such as Uranus, Le Verrier) - this is something Newton himself apparently did not dare to tackle
To me there is a chain of deeper and deeper descriptions from Kepler -> Newton -> Einstein.
Kepler has static laws, Newton has nonlocal differential equations, Einstein has local field equations.
Aractus,
I don't see how it can be said that the way Newtonian mechanics arises from Quantum mechanics is any less revolutionary conceptually than the way Newtonian physics arises from general relativity. QM is more than taking ordinary mechanics and adding a bit of fuzzy. The newtonian particle paths arise in QM as a limiting case from a much deeper principle.
To me there is a chain of deeper and deeper descriptions from Kepler -> Newton -> Einstein.
Kepler has static laws, Newton has nonlocal differential equations, Einstein has local field equations.
Aractus,
I don't see how it can be said that the way Newtonian mechanics arises from Quantum mechanics is any less revolutionary conceptually than the way Newtonian physics arises from general relativity. QM is more than taking ordinary mechanics and adding a bit of fuzzy. The newtonian particle paths arise in QM as a limiting case from a much deeper principle.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
