Towards a Nonlinear Quantum Physics (World Scientific Series in Contemporary Chemical Physics)

Rating:
Summary: It is just complexity that accounts for apparent absurdities
Review: This book includes complete mathematics to describe the achievements of Professor Croca. I have to admit that, being no phisic reader, I skipped most of it. Yet the important ideas presented in this text are perfectly understandable without diving into quantitative details.
The main aim of this book is to find an intuitively consistent description of quantum mechanics experimental results, and with this possibly get rid of all the weird and couterintuitive theories presented so far. We have for example a very fancy multiverse theory by Hugh Everett, to explain the interferometric phenomena of a single photon passing through two slits.
Professor Croca explains that there is absolutely no need to invent such weird theories and proposes something that involves only some more complexity in calculations. The dualism wave-particle is based on absolute separation of wave and particle properties. This is due to the extreme nature of the "non-local" Fourier analysis. By applying to quantum mechanics the modern wavelet theory in place of the classic Fourier transform, Croca tells that it is possible to include in an unified description both wave properties and the singularity called particle where most of the energy is concentrated. This elegant and simple explanation avoids all the strange confusion of the modern quantum mechanics and proposes a reasonable complete picture.
A major point in Croca's thought is his avversion towards unjustified negative results, firstly the uncertainty principle if asserted in a strong form.
Personally, I agree totally with Professor Croca, and I hope that his ideas will bring some more clarity in modern phisics. In my opinion, there is some relation between his support of wavelets and the fuzzy logic of Lotfi Zadeh. Using wavelets in place of a rigid and absolute nonlocal Fourier analysis helps with apparent experimental paradoxes. Fuzzy logic as opposed to rigid and absolute Aristotle's logic helps with logic paradoxes.