Instantaneous Nonlocal Connections: Basil J. Hiley on the super quantum potential and the quantum ether (David Bohm, 1983)

 

 

 

 

 

 Bohm, D., Hiley, B.J. Measurement understood through the quantum potential approach. Found Phys 14, 255–274 (1984). https://doi.org/10.1007/BF00730211

 

 

 

 

 

 

 

 

 

 

 

Is superradiance noncommutative?  

 However, when the atomic “antennas” are coherently radiating in phase with each other, the net electromagnetic field is proportional to N, and therefore, the emitted intensity goes as N². As a result, the atoms radiate their energy N times faster than for incoherent emission. It is this anomalous radiance that Dicke dubbed “superradiance” (1–3).

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.128.013901 

 The superradiant amplification in the scattering from a rotating medium was first elucidated by Sir Roger Penrose over 50 years ago as a means by which particles could gain energy from rotating black holes. Despite this fundamental process being ubiquitous also in wave physics, it has only been observed once experimentally, in a water tank. Here, we measure this amplification for a nonlinear optics experiment in the superfluid regime. In particular, by focusing a weak optical beam carrying orbital angular momentum onto the core of a strong pump vortex beam, negative norm modes are generated and trapped inside the vortex core, allowing for amplification of a reflected beam. Our experiment demonstrates amplified reflection due to a novel form of nonlinear optical four-wave mixing, whose phase-relation coincides with the Zel’dovich-Misner condition for Penrose superradiance in our photon superfluid, and unveil the role played by negative frequency modes in the process.

Noncommutative model with spontaneous time generation and Planckian bound 

 We illustrate the thesis that if time did not exist, we would have to create it if space is noncommutative, and extend functions by something like Schrödinger’s equation. We propose that the phenomenon is a somewhat general mechanism within noncommutative geometry for “spontaneous time generation.”