57 citations · 461 across the 34 of their papers we have counts for
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Derivation of the postulates of quantum mechanics from the first principles of scale relativity
Laurent Nottale, Marie-Noëlle Célérier
Quantum mechanics is based on a series of postulates which lead to a very good description of the microphysical realm but which have, up to now, not been derived from first princip…
Numerical simulation of a macroscopic quantum-like experiment: oscillating wave packet
L. Nottale, T. Lehner
We simulate the transformation of a classical fluid into a quantum-like (super)-fluid by the application of a generalized quantum potential through a retro-active loop. This numeri…
Quantum-classical transition in Scale Relativity
Marie-Noëlle Célérier, Laurent Nottale
The theory of scale relativity provides a new insight into the origin of fundamental laws in physics. Its application to microphysics allows us to recover quantum mechanics as mech…
The Pauli equation in scale relativity
Marie-Noelle Celerier, Laurent Nottale
In standard quantum mechanics, it is not possible to directly extend the Schrodinger equation to spinors, so the Pauli equation must be derived from the Dirac equation by taking it…