Abstract :
In a recent work, the consequences of quantizing a real scalar field Φ according to generalized “quon” statistics in a dynamically evolving curved spacetime (which, prior to some initial time and subsequent to some later time, is flat) were considered. Here a similar calculation is performed; this time we quantize Φ via the Calogero-Vasiliev oscillator algebra, described by a real parameter v > −12. It is found that both conservation (v → v) and anticonservation (v → −v) of statistics is allowed. We find that for mathematical consistency the Bogoliubov coefficients associated with the iʹth field mode must satisfy |αi|2 − |βi|2 = 1 with |βi|2 taking an integer value.
