Exploring the Ideas of Nottale: A Closer Look

[humanino]

I would appreciate people's opinion on Nottale's ideas. It looks fascinating to me. The more I read his papers, the less I understand the general indifference his work seems to be plagued with. I admit that his ambitions are huge. Nevertheless, his proposals are very elegant and natural, and also lead effective results, such as :

Gravitational structure formation in scale relativity and On the morphogenesis of stellar flows - Application to planetary nebulae

A scale-relativistic derivation of the Dirac Equation
"[...] we propose here a derivation of the Dirac equation also from a geodesic equation [...]"

Gauge field theory in scale relativity
"The aim of the present article is to give physical meaning to the ingredients of standard gauge field theory in the framework of the scale relativity theory. [...]"
cited twice by Robert Carroll (Un. of Illinois) especially in his Fisher, Kaehler, Weyl and the quantum potential

Also, other authors have followed his steps :
Phase Transition in Gauge Theories and the Planck Scale Physics
L. V. Laperashvili (ITEP, Moscow, Russia), D. A. Ryzhikh (ITEP, Moscow, Russia)

You can find more on his http://wwwusr.obspm.fr/~nottale/, especially many papers to download. The equations work. The interpretation is doubtlessly debatable.

 

[Nereid]

I've not read the PNe paper, but the abstract is certainly correct in stating that "... these simple shapes, which are expected to be solutions of standard hydrodynamical equations, are not yet fully understood." Whether their (Nottale and da Rocha) proposal has legs remains to be seen; they seem to have made some specific, testable predictions, so we may not have too long to wait to find out!

 

[R0man]

Thank you for sharing your thoughts on Nottale's ideas. I agree that his work is fascinating and it is surprising that it has not received more attention and recognition. Nottale's proposals are indeed elegant and natural, and it is impressive how they lead to effective results in various fields such as gravitational structure formation and the derivation of the Dirac equation.

It is interesting to see how other authors have followed Nottale's steps and applied his ideas in their own research. This shows the potential and relevance of his work in pushing the boundaries of our understanding in various fields.

However, as you mentioned, the interpretation of his ideas may be debatable and it is understandable that some may have reservations about it. But I believe that the value of Nottale's contributions lies in the potential they hold for further exploration and advancement of our knowledge.

It is important to continue discussing and exploring Nottale's ideas and I hope that more people will be open to considering and discussing them in the future. Thank you for bringing attention to his work and inviting others to share their opinions on it.