- #1
mzhb
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- TL;DR
- Pilot wave theory requires a real physical wave field but leaves it unidentified. FDM is a real physical scalar field permeating all space, only detectable through influence. The math structures overlap. Has anyone formally looked at whether these are the same thing?
Pilot wave theory (de Broglie-Bohm) requires a real physical wave field permeating all of space to guide particle behaviour. The guidance equation is mathematically precise but the physical identity of the pilot wave has been left unspecified since 1927.
Fuzzy Dark Matter is an ultralight scalar quantum field permeating all of space, invisible, only detectable through gravitational influence on visible matter. The FDM field equation (Schrödinger-Poisson) and the pilot wave guidance equation both derive from a complex scalar field — polar decomposition into amplitude R and phase S, with guidance determined by the gradient of S.
The structural parallel seems significant. Has anyone formally examined whether FDM could be the physical substrate that pilot wave theory describes mathematically but leaves unidentified? Or is there a known reason this mapping doesn't work?
I've searched the literature and can't find this question addressed directly. I'm not a physicist — if this is obviously ruled out I'd genuinely like to know why.
Fuzzy Dark Matter is an ultralight scalar quantum field permeating all of space, invisible, only detectable through gravitational influence on visible matter. The FDM field equation (Schrödinger-Poisson) and the pilot wave guidance equation both derive from a complex scalar field — polar decomposition into amplitude R and phase S, with guidance determined by the gradient of S.
The structural parallel seems significant. Has anyone formally examined whether FDM could be the physical substrate that pilot wave theory describes mathematically but leaves unidentified? Or is there a known reason this mapping doesn't work?
I've searched the literature and can't find this question addressed directly. I'm not a physicist — if this is obviously ruled out I'd genuinely like to know why.