
The last theories of 20th Century physics that might possibly be true are those Einstein proposed in his famous 4 papers of 1905. This includes special relativity, the photo-electric effect, Brownian motion, and E=M*C**2. These ideas may seem paradoxical, but they really are not, once we realize that space and time are not absolute. Or to put it another way, what we perceive as space and time are not ultimate reality, any more than the sense we have that the Earth is at rest in the center of the universe.

Every theory after that has cracked foundations and cannot possibly be true. They may be useful, as Ptolemy's epicycles were useful, but they cannot possibly be true. As Einstein said, "Whatever is logically impossible, is also physically impossible." That is why he drifted away from his younger colleagues, his only companion in his old age being the genius Kurt Goedel, who proved the incompleteness theory of math. This says there are true statements which cannot be proven. The same thing is true of science. There are true things which cannot be scientifically proven.

Prince Louis de Broglie's wave is not paradoxical, and is thus a firm foundation for a reformulation of Quantum theory. The de Broglie wave is an information wave, determining the possible states of its associated particle, and their various probabilities. One can write the de Broglie wave only for things which have momentum. Momentum is not the same as mass. Photons and gravitons have momentum, but they have no mass.

Prince Louis de Broglie's Ph.D. was in history, and he went on to a career in the French Civil Service. But he could always solve physical problems using his de Broglie wave. Nonetheless, he was left behind and ignored in the rush to quantum weirdness.

Quantum weirdness began with the wave-particle paradox. A thing cannot be both. Scale doesn't change logic. Yet, rejecting 2000 years of logic and mathematics, and much against Einstein's protests, the young Turks of the day proclaimed that they were smarter than mathematicians, and not bound by logic. So, they proclaimed that particles are simultaneously waves and particles.

They should have listened to Kurt Goedel, who proved that if there is a buried inconsistency in a logical system, anything whatsoever can be proven. And isn't that exactly what we see? We get multiple universes, where each branch point produces a new universe. We get entanglement of observer with observed, with a collapse of the wave function. We get the smearing out of particles over all the paths they could take. All of this is nonsense, and cannot possibly be true, no matter how useful it may be in making calculations. Future scholars will be amazed that this preposterous idea was accepted from 1927 at least until 2000. The acceptance of the truth of the wave-particle paradox happened at the fifth Solvay conference, in 1927.

Even Einstein's General Relativity is paradoxical, as he well knew. For instance, here is a paradox. Consider two space-craft, one just past the event horizon of a black hole, the other outside the black hole, with communication back and forth by teleportation. To the outside observer, the space-craft is caught forever like a bug in amber just at the event horizon. It never falls in, even if the universe last infinitely long. But to the people inside that space-craft, they do indeed fall in, and very rapidly undergo spaghettification. This is a paradox. A thing cannot stay stuck forever on the event horizon and at the same time undergo spaghettification.

Einstein's friend, Kurt Goedel, showed there are solutions to the equations of General Relativity which allow time travel. No theory can be true which allows time travel. Time travel is inherently paradoxical, since one can go back and kill ones own grandparents. General Relativity also allows singularities. Mathematicians insist there can be no real singularities. One can approach a singularity for an infinitely long time, as in Special Relativity, but one can never reach it.

I will save the biggest paradox of all for a second posting. But before doing so, I would like to point out a few consequences of special relativity, or we could call it 1905 relativity. One is that space and time separately are not real. What is real is 4-dimensional space-time. Also, time separately is not real. It is an imaginary number. To scale it to the same units as space, we must use the speed of light, C. Thus, in special relativity, time is iCt, where i=sqr(-1). This is another reason why time travel is impossible. It is not a real dimension, either in the mathematical sense or the ordinary sense. We create it with our imaginations, remembering the past and having expectations about the future. In the physical world there is only the universal now, an idea required by quantum mechanics. There are clearly good ideas in quantum theory, but the way it is formulated and interpreted now is logically impossible.

One proof that special relativity is true is the remarkable uses to which it has been successfully applied. Apply it to quantum theory, as Dirac did, and it implies the existence of anti-matter and intrinsic spin for all particles. And, observation confirms that. Einstein himself discovered the first remarkable consequence of the theory. Since everything in true physics must be 4-dimensional, it is the energy-momentum vector which is real, not energy or momentum separately. Only those things which are true for all observers are real. The energy momentum vector has a non-zero component, even when the associated particle is at rest. It is mass times the speed of light squared. This is the rest mass of a particle. C is a very large number, 3*10**10 cm/sec. C squared is an enormous number 9*10**20. Thus a gram of mass will produce 9*10**20 ergs of energy.