Schrödinger tried to give another interpretation for the duality, by considering the helical trajectory. Heisenberg did not accept that conjecture. And Schrödinger lost the dispute: the conjecture of helical trajectory was not accepted in Physics.

If Schrödinger should have won the dispute, today we would have a New Physics, different of present Quantum Mechanics.

The duel Heisenberg vs Schrödinger is described in my book The Missed U-Turn, the duel Heisenberg versus Schrödinger – from Newton to Rossi’s eCat”, to be published in London in 2012.

The first man to violate the Newton’s slogan was Einstein. He realized that it was impossible to explain the results of Michelson-Morley experiment without conjectures. So, he asked forgiveness to Newton, and did conjectures. That’s why he replaced the Euclidian space considered by Newton, and proposed the space-time adopted in the Relativity.

So, the question: what would have happened if Einstein had not existed?
Well, then the Relativity would not exist in the present days. But of course the physicists would have developed an alternative theory, similar to what they did in the case of Quantum Mechanics.

The alternative theory (which would exist if Einstein should not have made the conjectures addopted in the Relativity) would have to be developed by considering the mathematics only, as was made in the case of Quantum Mechanics.

Happily, Einstein proposed an experiment so that to test his conjecture. And the experiment showed that his conjecture was right: the space has a curvature about the Sun, the space is not Euclidian.

But the challenge faced by Einstein was easier than to make conjectures in the micro-world. In the begginning of the development of Quantum Mechanics the physicists tried to make some conjectures, by addopting physical models. But they discovered that it was impossible (with the knowledge available at that time) to discover physical models for the atom. That’s why they gave up, and developed Quantum Mechanics without conjectures. Such procedure is known as the method of simplicity, adopted in science.

But suppose that the space has dilation/contraction into the electrosphere of the atoms, similar to the contraction/expansion adopted by Einstein in the case of the Relativity, which he named space-time.

Well, in this case Quantum Mechanics cannot be entirelly correct, because the conjecture of space dilation within the electrosphere was not considered in the development of the theory. In another words, that would mean that Quantum Mechanics is incomplete. In spite of it works well, and it gives good predictions (because it is possible to develop a theory by considering only the mathematics, by neglecting some fundamental laws that do not work in the level in which Quantum Mechanics was developed).

Sure such theory will work until a certain level only.

But probably it will fail in a deeper level (that’s why Quantum Mechanics cannot explain cold fusion, because it is a phenomenon which occurs in a deeper level which requires news laws not considered in Quantum Mechanics).

And suppose that within the atom, within the nucleus (and within the elementary particles in general) there are physical phenomena not considered in Quantum Mechanics.

Well, then the theory will be further away from the true reality that exists in nature.

The theory will not be able to explain phenomena that occur in a deeper level than that considered for the development of Quantum Mechanics, as occurs in Rossi’s cold fusion experiment.

This is the situation today. Rossi’s cold fusion is suggesting that Quantum Mechanics is incomplete. Probably there are mechanisms existing within the atom, within the nucleus, within the elementary particles, and those mechanisms are not considered in Quantum Mechanics.

There is need to make conjectures, as Einstein did when he faced the crisis opened by the Michelson-Morley experiment.

The crisis today is opened by two experiments: the LHC experiments, which did not detected the particles predicted by Supersymmetry and neither the boson of Higgs, and the cold fusion Rossi’s experiment.

Yes, there is a crisis, like there was a crisis when Einstein faced the puzzle of Michelson-Morley experiment. And in that age, like happens today, the community of physicists tried do not accept Einstein’s conjectures. They simply ignored the Michelson-Morley experiment, as they try today to ignore Rossi’s eCat. In the end of the 19th Century they simply believed that a New Physics was not necessary, because conjectures was not accepted.
Einstein showed the most physicists were wrong. He proposed a New Physics, developed by conjectures, and it was confirmed by experiments.

Today the experiments in the LHC and the Rossi’s experiments are pointing out that there is need to introduce conjectures in Physics.
There is need a New Physics, as there was need in the end of the 19th Century.

The question is: what are the conjectures to be tested by experiments ?

Quantum Ring Theory proposes many conjectures. They must be tested, as Einstein theory was tested in 1919.