An experimental apparatus based on neutron interferometry is is presented which can in principle decide the question whether the empty waves of de Broglie really exist or not.

The nature of quantum waves, whether they are real physical waves or, on the contrary, mere probability waves, has been a very controversial theme since the beginning of quantum theory. Here we present some possible experiments that may clarify the problem.

In the early 1960s of the 20th century de Broglie was able to explain the cosmological observable red shift, without ad hoc assumptions. Starting from basic quantum considerations he developed his tired light model for the photon. This model explains in a single and beautiful causal way the cosmological redshift without need of assuming the Big Bang and consequently a beginning for the universe. Evidence coming from Earth sciences seems also to confirm these ideas and furthermore concrete proposal of laboratorial (...) scale experiments that can test the model are reviewed. (shrink)

The present work sets out to discuss in three main steps the roots of the indeterministic paradigm for quantum mechanics as against a causal explanation of reality. The first step is to present the fundamental role played by non-local Fourier analysis in the Copenhagen paradigm. The second is to present wavelet local analysis, a recent formalism that will perhaps allow the development of a new causal paradigm for physics. The third is to present the Heisenberg-Bohr uncertainty relations as a direct (...) mathematical consequence of Fourier non-local analysis. Finally, experimental evidence violating these relations is presented. These results imply that the indeterministic approach has reached its limits. However, they can be explained within a causal framework allowing a more general mathematical formulation for uncertainty relations. (shrink)

In the following we consider the possibility of interpretating recent non-local interferometric experiments according to the De Broglie causal model. With the help of a simplified mathematical model based on wavelet analysis it is indeed possible to explain it in a causal way. Furthermore we show the distinctions between the two formalisms and discuss some experimental conditions that may make these differences evident.