MISCELLANEOUS PAPERS ON QUANTUM MECHANICS

Before the current version of entropic dynamics was developed, I tried an approach to quantum mechanics inspired by Cox’s derivation of the sum and product rules in probability theory. This “Consistent Amplitude Approach to Quantum Theory” worked very well but was eventually abandoned for reasons foreign to quantum theory: I could not see my way to a theory of gravity that would explain the geometry of space as a form of information geometry.

 

“Consistency and linearity in quantum theory,” Phys. Lett. A 244, 13 (1998); arXiv.org/abs/quant-ph/9803086.

 

“Consistency, amplitudes and probabilities in quantum theory,” Phys. Rev. A 57, 1572 (1998); arXiv.org/abs/quant-ph/9804012.

 

“Insufficient reason and entropy in quantum theory” Found. Phys. 30, 227 (2000); arXiv.org/abs/quant-ph/9810074.

 

The following two papers contain an early attempt at an “Entropic Dynamics.” They succeeded in deriving reasonable equations of motion (Newton’s equation and the principle of least action). This approach was eventually abandoned because it failed to reproduce quantum mechanics.

 

“From Information Geometry to Newtonian Dynamics” (with C. Cafaro) in Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt 2007), ed. by K. Knuth et al., AIP Conf. Proc. Vol. 954, 165 (2007); arXiv:0710.1071.

 

“From Inference to Physics” in Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt 2008), ed. by J. M. Stern et al., AIP Conf. Proc. 1073, 23 (2008); arXiv:0808.1260. 

 

The following are three of my early papers on quantum theory.

 

“Quantum theory of the dynamical Cerenkov emission of x rays” Phys. Rev. B 45, 9541 (1992).

 

“Phenomenological quantum electrodynamics in periodic dielectric media” (with Néstor Caticha) Phys. Rev. B 46, 479 (1992).

 

“The construction of exactly soluble double-well potentials” Phys. Rev. A 51, 4264 (1995).