SUNSET OF QUANTA PHYSICS
I want to strengthen here my special demonstration that the many paradoxes of 'Quanta Physics' were in the 'Empiricism' or 'Ballistic Science' born in the XVIIth Century before. That is to say that the 'Wavefunction' or the 'Spinfunction' are just ideologies diverted from Descartes, Mersenne, Fermat, Huygens, Newton and so one.
This short scientific article below will concentrate on French R. Descartes first, then H. Poincaré, not to avoid French culpability in this Scientific entanglement or 'cul-de-sac' that has become a kind of 'New Superstition' now (And I call in fact 'LHC experience' in Europe a Superstition).
One can see in fact that Descartes, one of the first Scientists who trumped up the tools of Empiricism, is from the beginning face to face with the same hesitations or misunderstandings than 'today Science':
1. Light has a limited Speed for Descartes -but unlimited too.
2. Descartes is translating Geometry in algebraic Geometry as Riemann did with others Euclid's laws.
3. Descartes is either thinking 'Space' in terms of 'Full' or 'Empty' (same for Newton).
4. Descartes is still 'quantifying' (as Planck or Einstein after him did) what cannot be quantified (Energy and Time).
5. There are 'holes' in Descartes algebraic geometry where 'black holes' of 'Quanta Physics' are coming from.
Those problems that were only 'mechanical' problems or 'algebraic language' problems became bit by bit physical problems, enigmas of the Universe equations and (super)symmetries.
1. Difference is not clear in Descartes' Principles between what is 'undefined' and what is 'infinite'. And between what is running very very fast as Light -or has an unlimited speed. To be clearer, not only the Sun is real for Descartes, but the Sunset. And his idea of the Set is giving rise to his idea of the Sun. Not a o for the description of the Sun but an 8. Paradox of General Relativity and Dualism of the particle are made of the same trouble.
2. Descartes translated Geometric drawings in new Algebraic Geometry for no reason, ignoring the sense of the Geometric drawings. Riemann did the same, ignoring the difference between numbers or arrows as Euclid principles were just measurement principles that had to be adjusted to be more accurate. As Euclid did not know that the World was a sphere.
3. Space is seen in the Empiricism mostly as 'nothing material' but as 'something material' too, not only in Newton's Mathematics but in Descartes' too. This is one of the most metaphysical point with the Infinity idea, because of the comparison between 'Light' and 'God' in the Christian Bible. Due to their religious ideas or images of God, Huygens, Descartes, Newton have slightly different ideas about Light, that is to say Ether, that is to say Space. There is no place enough here to study this Christian Metaphysics in details -why Newton is a little bit more materialist than Descartes or Huygens are?-, but one must notice that this 'Natural Philosophy' is part of the foundations and cannot be just 'forgotten' (Argument of -proud to be- Atheist Scientist R. Dawkins that I. Newton Faith or Religion have no consequential effects on his Mathematics, this statement of R. Dawkins has no scientific basis. More than that: Dawkins himself does use Christian metaphysics hidden in Algebraic references.) One think about Einstein here too, whose 'Space idea' is nothing less than 'airy' too.
4. Descartes, trying to solve famous Aristotle's Paradox of two different Concentric Circles on a line, is quantifying the circle's with pieces of their circumferences as these circles were Wheels, not Circles. Descartes did not understood Aristotle's lesson. Here comes the 'Sunset again' and the problem of the Sun swallowed by the Set. This is the problem of 'Theoretical experiences' (General Relativity) that are open Doors to entanglement between Algebra and Nature (As Pythagorean B. Russell admitted at the End of his career, 'forgetting Pythagoras' as he says.) Same mistake is made by Planck when he is quantifying Energy with the 'help' of Boltzmann's Algebra. (Lesson of Aristotle was that 'Potential Infinity' depicted with a circle reference is exactly the same than 'Infinity' postulate depicted with a line! Is this not incredible that Empiricism Method is based here on what denies it!?)
5. What are 'black holes' of Universe? They are holes in the sophisticated 'Standard Model'. Something is lacking that will be called 'Holes'. And where can we find this holes in Descartes Mathematics? Where Descartes is trying to solve Aristotle's Paradox of two circles I just evoked above. Descartes has to state that the smaller circle is slipping in the bigger one. He will translate this upset 'slip' in 'discontinuous' algebraic reference or Dotted line. Exactly as 'Astrophysics' based on 'Quanta physics' will translate the Discontinuity that is in the 'Standard Model' in 'Black Hole' idea. Same for 'Superstring Theory' or 'Big-Bang' Theory which is the translation of 'Potential Infinity' postulate in Physics (Or: Riemann's Sphere laws taken as Physical laws.)
I give then a Quoting of a letter written by Descartes that enables to understand that H. Poincaré sophisms, close at hand from H. Bergson sophisms are nothing else than a metaphysical divarication in spite of their algebraic appearance:
« First thing one have to give his attention is that many [Scientists] are intermingling 'Space idea' with 'Time' or 'Speed idea'...
If I had wanted to link 'Speed idea' with 'Space idea', I ought to have given three dimensions to Force although I gave Force only two for leaving Time out. And if I proved somewhat Ability in this small essay about Statics, it is mostly on this point -because it is impossible to say anything good about Speed without having explained deeply what Weight is and the whole World System. »
(R. Descartes, Sept. 12th, 1638)
In their attempts to put more 'Spirit' in Empiricist Science, Poincaré or Bergson* (same for Einstein of course) will introduce Time dimension contrary to Descartes who thinks it is more logic to exclude Time and Speed. His solution is different but Descartes is face to face with the same problem than Carlo Rovelli on this forum or Lee Smolin. Difference is that 'old' Descartes is a little bit more logic than 'young' C. Rovelli or L. Smolin are, who do no want to forget conventional Time because of a metaphysical preamble that they do not even think about.
Read the quotation again! What does Descartes want to? He wants to cut the Mathematics from Natural Philosophy as much as possible. And what do we have after all that Time? 'LHC Experience', 'Differential Geometry' that are entirely made of Metaphysics!
No Astrophysics anymore but 'Universal Fiction'. God damn it!
(*To ground a kind of 'Intelligent design' in Biology against Darwin, Bergson added sophism of 'duration'.)