Quantum Spacetime Fluctuations and Primary State Diffusion
Abstract
Nondifferentiable fluctuations in spacetime on a Planck scale introduce stochastic terms into the equations for quantum states, resulting in a proposed new foundation for an existing alternative quantum theory: primary state diffusion (PSD). Planckscale stochastic spacetime structure results in quantum fluctuations, whilst largerscale curvature is responsible for gravitational forces. The gravitational field and the quantum fluctuation field are the same, differing only in scale. The quantum mechanics of small systems, classical mechanics of large systems and the physics of quantum experiments are all derived dynamically, without any prior division into classical and quantum domains, and without any measurement hypothesis. Unlike the earlier derivation of PSD, the new derivation, based on a stochastic spacetime differential geometry, has essentially no free parameters. However, many features of this structure remain to be determined. The theory is falsifiable in the laboratory, and critical matter interferometry experiments, to distinguish it from ordinary quantum mechanics, might be feasible within the next decade.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 November 1995
 DOI:
 10.1098/rspa.1995.0139
 arXiv:
 arXiv:quantph/9508021
 Bibcode:
 1995RSPSA.451..503P
 Keywords:

 Quantum Physics;
 General Relativity and Quantum Cosmology
 EPrint:
 17 pages in Plain TeX, submitted to Proc. Roy. Soc. A