How uncertainty enables non-classical dynamics

The uncertainty principle limits quantum states such that when one observable takes predictable values there must be some other mutually unbiased observables which take uniformly random values. We show that this restrictive condition plays a positive role as the enabler of non-classical dynamics in an interferometer. First we note that instantaneous action at a distance between different paths of an interferometer should not be possible. We show that for general probabilistic theories this heavily curtails the non-classical dynamics. We prove that there is a trade-off with the uncertainty principle, that allows theories to evade this restriction. On one extreme, non-classical theories with maximal certainty have their non-classical dynamics absolutely restricted to only the identity operation. On the other extreme, quantum theory minimises certainty in return for maximal non-classical dynamics.Comment: 4 pages + 4 page technical supplement, 2 figure

Dissociation constants and thermodynamic properties of amino acids used in CO2 absorption from (293 to 353) K

The second dissociation constants of the amino acids βalanine, taurine, sarcosine, 6-aminohexanoic acid, DL-methionine, glycine, L-phenylalanine, and L-proline and the third dissociation constants of L-glutamic acid and L-aspartic acid have been determined from electromotive force measurements at temperatures from (293 to 353) K. Experimental results are reported and compared to literature values. Values of the standard state thermodynamic properties are derived from the experimental results and compared to the values of commercially available amines used as absorbents for CO 2 capture.

Collective phase description of globally coupled excitable elements

We develop a theory of collective phase description for globally coupled noisy excitable elements exhibiting macroscopic oscillations. Collective phase equations describing macroscopic rhythms of the system are derived from Langevin-type equations of globally coupled active rotators via a nonlinear Fokker-Planck equation. The theory is an extension of the conventional phase reduction method for ordinary limit cycles to limit-cycle solutions in infinite-dimensional dynamical systems, such as the time-periodic solutions to nonlinear Fokker-Planck equations representing macroscopic rhythms. We demonstrate that the type of the collective phase sensitivity function near the onset of collective oscillations crucially depends on the type of the bifurcation, namely, it is type-I for the saddle-node bifurcation and type-II for the Hopf bifurcation.Comment: 18 pages, 6 figure

Health related quality of life outcomes following surgery and/or radiation for patients with potentially unstable spinal metastases.

Currently there is no prospective pain and health related quality of life (HRQOL) data of patients with potentially unstable spinal metastases who were treated with surgery ± radiation or radiation alone.An international prospective cohort multicenter study of patients with potentially unstable spinal metastases, defined by a SINS score 7 to 12, treated with surgery ± radiation or radiotherapy alone was conducted. HRQOL was evaluated with the numeric rating scale (NRS) pain score, the SOSGOQ2.0, the SF-36, and the EQ-5D at baseline and 6, 12, 26, and 52 weeks after treatment.A total of 136 patients were treated with surgery ± radiotherapy and 84 with radiotherapy alone. At baseline, surgically treated patients were more likely to have mechanical pain, a lytic lesion, a greater median Spinal Instability Neoplastic score, vertebral compression fracture, lower performance status, HRQOL, and pain scores. From baseline to 12 weeks post-treatment, surgically treated patients experienced a 3.0-point decrease in NRS pain score (95% CI -4.1 to -1.9, p.001), and a 12.7-point increase in SOSGOQ2.0 score (95% CI 6.3-19.1, p.001). Patients treated with radiotherapy alone experienced a 1.4-point decrease in the NRS pain score (95% CI -2.9 to 0.0, p=.046) and a 6.2-point increase in SOSGOQ2.0 score (95% CI -2.0 to 14.5, p=.331). Beyond 12 weeks, significant improvements in pain and HRQOL metrics were maintained up to 52-weeks follow-up in the surgical cohort, as compared with no significant changes in the radiotherapy alone cohort.Patients treated with surgery demonstrated clinically and statistically significant improvements in pain and HRQOL up to 1-year postsurgery. Treatment with radiotherapy alone resulted in improved pain scores, but these were not sustained beyond 3 months and HRQOL outcomes demonstrated nonsignificant changes over time. Within the SINS potentially unstable group, distinct clinical profiles were observed in patients treated with surgery or radiotherapy alone