A Local de-Broglie Bohm interpretation of entanglement

Michel Gondran, Alexandre Gondran

F.J. Duarte, T S Taylor

M. R. Clover

We present a local interpretation of what is usually considered to be a nonlocal de Broglie-Bohm trajectory prescription for an entangled singlet state of massive particles. After reviewing various meanings of the term ``nonlocal'', we show that by using appropriately retarded wavefunctions (i.e., the locality loophole) this local model can violate Bell's inequality, without making any appeal to detector inefficiencies. We analyze a possible experimental configuration appropriate to massive two-particle singlet wavefunctions and find that as long as the particles are not ultra-relativistic, a locality loophole exists and Dirac wave(s) can propagate from Alice or Bob's changing magnetic field, through space, to the other detector, arriving before the particle and thereby allowing a local interpretation to the 2-particle de Broglie-Bohm trajectories. We also propose a physical effect due to changing magnetic fields in a Stern-Gerlach EPR setup that will throw away events and create a detector loophole in otherwise perfectly efficient detectors, an effect that is only significant for near-luminal particles that might otherwise close the locality loophole.

K. Hess

O. Chavoya-Aceves

A de Broglie-Bohm like model of Klein-Gordon equation, that leads to the correct Schrodinger equation in the low-speed limit, is presented. Under this theoretical framework, that affords an interpretation of the quantum potential, the main assumption of the de Broglie-Bohm interpretation--that the local momentum of particles is given by the gradient of the phase of the wave function--is not but approximately correct. Also, the number of particles is not locally conserved. Furthermore, the representation of physical systems through wave functions wont be complete.

Brownstein, Adam

The link between the de Broglie-Bohm interpretation and the hard problem of consciousness is investigated. We highlight that beables of the de Broglie-Bohm interpretation are not themselves qualia, but are intimately related to qualia. It is then argued that qualia are necessary for the de Broglie-Bohm interpretation, and conversely the de Broglie-Bohm interpretation (or similar theories) are necessary for qualia. Therefore, there is a reflexive two-way relationship between the beables of the de Broglie-Bohm interpretation and qualia such that they support the existence of each other. By using this reflexive argument, the hard problem of consciousness can be addressed via an indirect route.