You really wonder or is it a rhetorical question?
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Replying to @jeuasommenulle @EmanuelDerman
Because i wrote a whole book on the subject so if you are really wondering I'll be glad to answer
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Replying to @EmanuelDerman @jeuasommenulle
Especially during the 50 years before Maxwell
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Replying to @EmanuelDerman
Before Maxwell it was mostly the Fresnel theory based on vibrations of the luminous ether- which was also confused with the ether supposed to be the origin of heat
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Replying to @jeuasommenulle @EmanuelDerman
Of course this isn't how Newton thought of light. And Newton's views, though less popular than Fresnel's in the years immediately before Maxwell's breakthrough, were certainly never entirely forgotten and discredited. Ultimately, Einstein revived them with his theory of photons.
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Replying to @MathPrinceps @EmanuelDerman
Yes- i meant immediately, before as Emanuel asked. See the rest of the thread. The fight between Huyghens and Newton was v. interesting
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Replying to @jeuasommenulle @EmanuelDerman
Particularly interesting, I think, is that the beginnings of a modern reconciliation of the ancient conflict between Huyghens and Newton emerged from the brilliantly original work of Hamilton on optics, which was essentially complete at the time of Maxwell's birth.
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Replying to @MathPrinceps @EmanuelDerman
Hamilton was way too revolutionary for his time... not enough credit for his genius.
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Replying to @jeuasommenulle @MathPrinceps
Quantum Field Theory has resuscitated the Lagrangian though because it’s easier to be relativistically invariant.
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In the deepest sense, though, Hamilton was making a wholly relativistic observation, namely, that partial differential equations are intimately linked to ordinary differential equations via (eikonal) asymptotic approximation. Wave optics and geometric optics are inseparable.
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Replying to @MathPrinceps @jeuasommenulle
Emanuel Derman. Retweeted Emanuel Derman.
Regarding the classical limit of the wave - eikonal version of geometric optics -https://twitter.com/emanuelderman/status/1053567517078228992?s=21 …
Emanuel Derman. added,
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Replying to @EmanuelDerman @jeuasommenulle
By the way, the contemporary masterpiece exposing this mathematics (and physics) is available freely online: http://bit.ly/2q2oXhN It is no simple task to assimilate this content, but it is profoundly rewarding. Hard to exaggerate its significance.
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