The literature notes that electromagnetics is the unification of electricity, magnetism, and optics. Although not noted in the literature, quantics is the unification of mechanics and optics. (Historical background.) By the antitone, we can shown similarity of pattern.

• The basic equation of optics is nl = c, which is antitonic.
• A primary equation of mechanics is implicitly antitonic: T = K + P, where T is total enerygy; K is kinetic energy; P is potential energy. Let T = log S; K = log J; P = log O. Then, T = K + P Û log S = log J + log O Û S = JO, another antitonic form.
• The observable, momentum, can be derived from kinetic energy, K = 1/2(mv²): p = m(2K)^1/2 = m(2(T - P))^1/2 . The observable, wavelength, l, can be derived from the optical equation.
• The mixture of the optical and mechanical antitones results in
  • the Planck-Einstein Law: E = hn, recast antitonically as El = ch,
  • and the (already antitonic) de Broglie Law pl = h.

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"Where did we get that [Schrödinger's equation] from? It's not possible to derive it from anything you know. It came out of the mind of Schrödinger." Richard Feynman in The Feynman Lectures on Physics. Wrong! as shown below.

• A quanton displays its wave aspect in free space, but its particulate aspect inside an atom -- an "outide-inside" aspect which is definitely topological.
• One of the two basic laws of quantum theory is the Planck-Einstein "relation": E = hn, recast as El = ch, the form of an antitonic (ordinological) process, and topology can be derived from ordinology.
• The other basic law is the de Broglie "relation": pl = h, also antitonic.
• Correcting Feynman's viewpoint, satisfaction of both of these conditions shows Schrödinger's equation to be the proper differential equation, as shown at this Website.