From https://en.wikipedia.org/wiki/Deferent_and_epicycle
Epicycles worked very well and were highly accurate, because, as Fourier analysis later showed, any smooth curve can be approximated to arbitrary accuracy with a sufficient number of epicycles. However, they fell out of favour with the discovery that planetary motions were largely elliptical from a heliocentric frame of reference, which led to the discovery that gravity obeying a simple inverse square law could better explain all planetary motions.
From Mills 2016 GUTCP page 9:
Three Atomic Theories
It is possible to arrive at the Rydberg formula using the wrong physics. The statement "the results justify the means" is a fundamental argument for the validity of quantum mechanics no matter how strained the explanations or the consequences. Consider that in fact, the mathematics of the three theories of Bohr, Schrodinger, and presently CP [Classical Physics] converge to Eq (I.1) as the principal energy levels of the hydrogen atom.
E= - e^2/(n^2*8*Pi*epsilon0*alphaH) = -13.598eV/n^2 , n = 1,2,3,...
where alphaH is the Bohr radius for the hydrogen atom (52.947pm), e is the magnitude of the charge of the electron, and epsilon0 is the vacuum permittivity. The theories of Bohr and Schrodinger depend on specific postulates to yield equation (I.1). ...
And “CP” does not depend on specific postulates?From https://en.wikipedia.org/wiki/Deferent_and_epicycle
Epicycles worked very well and were highly accurate, because, as Fourier analysis later showed, any smooth curve can be approximated to arbitrary accuracy with a sufficient number of epicycles. However, they fell out of favour with the discovery that planetary motions were largely elliptical from a heliocentric frame of reference, which led to the discovery that gravity obeying a simple inverse square law could better explain all planetary motions.
From Mills 2016 GUTCP page 9:
Three Atomic Theories
It is possible to arrive at the Rydberg formula using the wrong physics. The statement "the results justify the means" is a fundamental argument for the validity of quantum mechanics no matter how strained the explanations or the consequences. Consider that in fact, the mathematics of the three theories of Bohr, Schrodinger, and presently CP [Classical Physics] converge to Eq (I.1) as the principal energy levels of the hydrogen atom.
E
where alphaH is the Bohr radius for the hydrogen atom (52.947pm), e is the magnitude of the charge of the electron, and epsilon0 is the vacuum permittivity. The theories of Bohr and Schrodinger depend on specific postulates to yield equation (I.1). ...
From https://en.wikipedia.org/wiki/Deferent_and_epicycle
Epicycles worked very well and were highly accurate, because, as Fourier analysis later showed, any smooth curve can be approximated to arbitrary accuracy with a sufficient number of epicycles. However, they fell out of favour with the discovery that planetary motions were largely elliptical from a heliocentric frame of reference, which led to the discovery that gravity obeying a simple inverse square law could better explain all planetary motions.
From Mills 2016 GUTCP page 9:
Three Atomic Theories
It is possible to arrive at the Rydberg formula using the wrong physics. The statement "the results justify the means" is a fundamental argument for the validity of quantum mechanics no matter how strained the explanations or the consequences. Consider that in fact, the mathematics of the three theories of Bohr, Schrodinger, and presently CP [Classical Physics] converge to Eq (I.1) as the principal energy levels of the hydrogen atom.
E
where alphaH is the Bohr radius for the hydrogen atom (52.947pm), e is the magnitude of the charge of the electron, and epsilon0 is the vacuum permittivity. The theories of Bohr and Schrodinger depend on specific postulates to yield equation (I.1). ...
