Quantum wave equations and non-radiating electromagnetic sources

2012

Gen Relativ Gravit

A hypothetical equation of motion is proposed for Kerr-Newman particles. It's obtained by analytic continuation of the Lorentz-Dirac equation into complex space-time. A new class of "runaway" solutions are found which are similar to zitterbewegung. Electromagnetic fields generated by these motions are studied, and it's found that the retarded (and advanced) times are multi-sheeted functions of the field points. This leads to non-uniqueness for the fields. With fixed weighting factors for these multiple roots, the solutions radiate. However, position dependent weighting factors can suppress radiation and allow non-radiating solutions. Motion with external forces are also considered, and radiation suppression is possible there too. These results are relevant for the idea that Kerr-Newman solutions provide insight into elementary particles and into emergent quantum mechanics. They illustrate a type of nascent wave-particle duality and complementarity in a purely classical field theory. Metric curvature due to gravitation is ignored.

Section: Null Time Solutions For the Circular Rotating Solutionsmentioning

confidence: 99%

The Lorentz-Dirac equation in complex space-time

2012

Gen Relativ Gravit

“…In several recent papers [27,28] it has been shown with some generality that the currents generated by free-particle wave equations are non-radiating sources. The results are proven for non-relativistic as well as for relativistic wave equations.…”

Section: Quantum Wave Equations As Generators Of Classical Non-radiatmentioning

confidence: 99%

“…The results are proven for non-relativistic as well as for relativistic wave equations. We reproduce here the results for Schrödinger's equation only and refer the reader to [27,28] for more details.…”

Section: Quantum Wave Equations As Generators Of Classical Non-radiatmentioning

confidence: 99%

See 1 more Smart Citation

Stochastic Models of Quantum Mechanics — A Perspective

AIP Conference Proceedings

2007

Self Cite

A subjective survey of stochastic models of quantum mechanics is given along with a discussion of some key radiative processes, the clues they offer, and the difficulties they pose for this program. An electromagnetic basis for deriving quantum mechanics is advocated, and various possibilities are considered. It is argued that only non-local or non-causal theories are likely to be a successful basis for such a derivation.

“…The nonlinear fluid equations have been linearized, but more importantly there are no more shocks! And also there is no more radiation for the current for the free Schrödinger equation does not radiate classically [62]. The inclusion of the quantum mechanical potential QM V has acted as a shock absorber and a radiation supressor.…”

Section: Quantizationmentioning

confidence: 99%

The quark-gluon plasma and the stochastic interpretation of quantum mechanics

Physica E: Low-dimensional Systems and Nanostructures

2010

Quark-gluon plasmas formed in heavy ion collisions at high energies are well described by ideal classical fluid equations with nearly zero viscosity. It is believed that a similar fluid permeated the entire universe at about three microseconds after the big bang. The estimated Reynolds number for this quark-gluon plasma at 3 microseconds is approximately 10^19. The possibility that quantum mechanics may be an emergent property of a turbulent proto-fluid is tentatively explored. A simple relativistic fluid equation which is consistent with general relativity and is based on a cosmic dust model is studied. A proper time transformation transforms it into an inviscid Burgers equation. This is analyzed numerically using a spectral method. Soliton-like solutions are demonstrated for this system, and these interact with the known ergodic behavior of the fluid to yield a stochastic and chaotic system which is time reversible. Various similarities to quantum mechanics are explored.