Could quantum gravity phenomenology be tested with high intensity lasers?
Abstract
In phenomenological quantum gravity theories, Planckian behavior is triggered by the energy of elementary particles approaching the Planck energy, E_{P}, but it is also possible that anomalous behavior strikes systems of particles with total energy near E_{P}. This is usually perceived to be pathological and has been labeled “the soccer ball problem.” We point out that there is no obvious contradiction with experiment if coherent collections of particles with bulk energy of order E_{P} do indeed display Planckian behavior, a possibility that would open a new experimental window. Unfortunately, field theory realizations of “doubly” (or deformed) special relativity never exhibit a soccer ball problem; we present several formulations where this is undeniably true. Upon closer scrutiny we discover that the only chance for Planckian behavior to be triggered by large coherent energies involves the details of second quantization. We find a formulation where the quanta have their energymomentum (massshell) relations deformed as a function of the bulk energy of the coherent packet to which they belong, rather than the frequency. Given ongoing developments in laser technology, such a possibility would be of great experimental interest.
 Publication:

Physical Review D
 Pub Date:
 June 2006
 DOI:
 10.1103/PhysRevD.73.124020
 arXiv:
 arXiv:grqc/0603073
 Bibcode:
 2006PhRvD..73l4020M
 Keywords:

 04.60.m;
 04.80.Cc;
 Quantum gravity;
 Experimental tests of gravitational theories;
 General Relativity and Quantum Cosmology;
 Condensed Matter  Other;
 Physics  Optics
 EPrint:
 Phys.Rev. D73 (2006) 124020