I think we (Peter J, Eckard, JRC, Steve,...) are more less agreed that photons are divisible and that the Raman scattering pointed out by Peter J. rivals the Compton scattering very well without resorting to particle nature of light. Even in the particle picture, we see that based on the aim of Jon Barrett and Matt Leifer to "promote the second law of thermodynamics as an axiom and a compelling postulate", QM fails as I have suggested in an earlier post on Jul. 15, 2014 @ 14:40 GMT, using Penrose's analogy of the second law.
Another reason why there is difficulty letting go of QM, despite its many imperfections and oddities is the claim that it provides accurate descriptions for many previously unexplained phenomena such as stable electron orbits.
Going by the attraction force between the electron (-) and the proton (), the atom is supposed to be unstable and collapse. QM suggests a theoretical mechanism that prevents this collapse.
However, on the macro-scale, there is an attraction force as well between, e.g. between a planet and the sun. Yet this orbit too is stable. What we see is that a planet moves closer to the sun at perihelion and is seemingly repelled from further collapse as the planet starts moving in a direction opposite to that of the gravitational attraction force! How could this be? It is sometimes claimed that the increased orbital speed at perihelion makes the planet want to escape hence the moving away from the sun. But a little thought shows that this increased orbital speed cannot be the answer to orbital stability. The orbital speed can increase, yet the planet can keep moving inwards rather than outwards, so to speak, spiraling inwards at increasing speed eventually crashing into the sun. But this does not happen.
Again, if we look at orbits energy-wise, the total energy of a satellite or planet (both kinetic and potential) of mass, m in orbit about the sun of mass, M is given by
-GMm/2r,
(K.E. in orbit = GMm/2r, P.E. in orbit = -GMm/r). The minus sign shows that when orbital radius reduces and objects fall under gravity, total energy is lost like when a satellite crashes to earth). Objects speed up as they fall because K.E. increases as orbital radius, r reduces (K.E. = GMm/2r), while P.E. reduces (-GMm/r). Total energy (-GMm/2r) at aphelion is more than that at perihelion. When energy is therefore lost in one-half of the cycle from aphelion to perihelion, from whence is the energy regained such that the orbit is replenished? The QM orbit-preserving mechanism will not operate on this scale. Could the mysterious stabilizing agent in gravitational orbits therefore not be the same agent stabilizing atomic orbits, instead of resorting to QM which is giving rise to so many paradoxes and absurdity? Recall that Sommerfeld atomic model was elliptical as well meaning that like gravitational orbits, the electron would alternately oscillate about some equilibrium distance in the atom. What could this energy-replenishing, anti-attraction stabilizing agent be, since it would be more economical if it were to be the source of orbital stability at both micro- and macro-scale?
Akinbo