The crucial dilemma in today's physics:
1. Scientists continue to claim (although very few of them believe it) that the speed of light is independent of the speed of the light source. As a result, physics is getting more and more schizophrenic and dignitaries continue to leave the sinking ship:
http://www.edge.org/q2008/q08_5.html
John Baez: "Should I be thinking about quantum gravity? One of the big problems in physics - perhaps the biggest! - is figuring out how our two current best theories fit together. On the one hand we have the Standard Model, which tries to explain all the forces except gravity, and takes quantum mechanics into account. On the other hand we have General Relativity, which tries to explain gravity, and does not take quantum mechanics into account. Both theories seem to be more or less on the right track but until we somehow fit them together, or completely discard one or both, OUR PICTURE OF THE WORLD WILL BE DEEPLY SCHIZOPHRENIC. (...) So, I eventually decided to quit working on quantum gravity."
http://1.bp.blogspot.com/_45GnkHLOfyA/TClEb8j-yAI/AAAAAAAAA48/Sz82Y_ZwGvs/s1600/Ratosdenavio.png
2. Scientists admit that the speed of light does depend on the speed of the light source. Then a new foundation of physics will have to be constructed by taking into account the end of the 18th century's development of the Newtonian theory of light propagation and the (unfinished) theory of Walther Ritz:
http://www.springerlink.com/content/l720v8hv51p290gt/
Einstein and the Changing Worldviews of Physics, Einstein Studies, 2012, Volume 12, Part 1, 23-37, The Newtonian Theory of Light Propagation, Jean Eisenstaedt: "It is generally thought that light propagation cannot be treated in the framework of Newtonian dynamics. However, at the end of the 18th century and in the context of Newton's Principia, several papers, published and unpublished, offered a new and important corpus that represents a detailed application of Newton's dynamics to light. In it, light was treated in precisely the same way as material particles. This most interesting application - foreshadowed by Newton himself in the Principia - constitutes a relativistic optics of moving bodies, of course based on what we nowadays refer to as Galilean relativity, and offers a most instructive Newtonian analogy to Einsteinian special and general relativity (Eisenstaedt, 2005a; 2005b). These several papers, effects, experiments, and interpretations constitute the Newtonian theory of light propagation. I will argue in this paper, however, that this Newtonian theory of light propagation has deep parallels with some elements of 19th century physics (aberration, the Doppler effect) as well as with an important part of 20th century relativity (the optics of moving bodies, the Michelson experiment, the deflection of light in a gravitational field, black holes, the gravitational Doppler effect). (...) A relativistic optics of moving bodies: a corpuscle of light is subject to Galilean kinematics, and thus to its principle of relativity as well as to the corresponding theorem of the addition of velocities. (...) Not so surprisingly, neither the possibility of a Newtonian optics of moving bodies nor that of a Newtonian gravitational theory of light has been easily "seen," neither by relativists nor by historians of physics; most probably the "taken-for-granted fact" of the constancy of the velocity of light did not allow thinking in Newtonian terms."
https://webspace.utexas.edu/aam829/1/m/Relativity.html
Alberto Martinez: "Does the speed of light depend on the speed of its source? Before formulating his theory of special relativity, Albert Einstein spent a few years trying to formulate a theory in which the speed of light depends on its source, just like all material projectiles. Likewise, Walter Ritz outlined such a theory, where none of the peculiar effects of Einstein's relativity would hold. By 1913 most physicists abandoned such efforts, accepting the postulate of the constancy of the speed of light. Yet five decades later all the evidence that had been said to prove that the speed of light is independent of its source had been found to be defective."
https://webspace.utexas.edu/aam829/1/m/Relativity_files/RitzEinstein.pdf
Alberto Martinez: "In sum, Einstein rejected the emission hypothesis prior to 1905 not because of any direct empirical evidence against it, but because it seemed to involve too many theoretical and mathematical complications. By contrast, Ritz was impressed by the lack of empirical evidence against the emission hypothesis, and he was not deterred by the mathematical difficulties it involved. It seemed to Ritz far more reasonable to assume, in the interest of the "economy" of scientific concepts, that the speed of light depends on the speed of its source, like any other projectile, rather than to assume or believe, with Einstein, that its speed is independent of the motion of its source even though it is not a wave in a medium; that nothing can go faster than light; that the length and mass of any body varies with its velocity; that there exist no rigid bodies; that duration and simultaneity are relative concepts; that the basic parallelogram law for the addition of velocities is not exactly valid; and so forth. Ritz commented that "it is a curious thing, worthy of remark, that only a few years ago one would have thought it sufficient to refute a theory to show that it entails even one or another of these consequences...."
Pentcho Valev