Physics – Quantum Physics
Scientific paper
2009-02-26
Physics
Quantum Physics
This is a slightly expanded version of J. Phys. A: Math. Theor. 43 055401
Scientific paper
Scale covariance--the notion that there is no absolute size, only relative size--is probably as old an idea as translation covariance. Yet, in our laboratories we find no evidence for this appealing symmetry. For this reason, privileged length-scales, such as the Compton length or the Bohr radius, enter directly the \emph{equations} of physics rather than surfacing as attributes of specific \emph{solutions}, in analogy to the way a privileged position is introduced into a translation covariant equation by any localized solution. We propose to elevate the status of a scaling symmetry to that of translation symmetry. Within our proposed theory, a solution may `drift in scale', thereby offering a mechanism by which matter may `cluster in scale' in analogy to spatial clustering in galaxies (particles comprising galaxies all have almost the same position on the intergalactic scale). Our proposed theory is a scale covariant deformation of classical electrodynamics, reducing to the later in its domain of validity. The resultant theory, dubbed Extended Charge Dynamics (ECD), is a remarkably rich theory, containing ingredients encountered nowhere else in theoretical physics, yet economically formulated as a simple variational principle. We argue the case for ECD being a `hidden variables model' for quantum mechanics i.e. that quantum mechanics describe statistical aspects of ensembles of ECD solutions. Among else, this perspective offers at once a prediction, pertaining to the notion of a photon, which is at odds with current theory. We further speculate that the same `remote sensing' mechanism endowed by ECD to a charge, responsible for many quantum mechanical effects, is also behind gravitational effects.
Knoll Yehonatan
Yavneh Irad
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