Nonlinear quantum mechanics at the Planck scale can produce nonlocal effects contributing to resolution of singularities, to cosmic acceleration, and modified black-hole dynamics, while avoiding the usual causality

A novel decision feedback detection strategy exploiting a causality property of the nonlinear Fourier transform is introduced. The novel strategy achieves a considerable performance improvement compared to previously adopted strategies in terms of Q-factor. OCIS codes: 060.1660, 060.2330, 060.4370.

The present study investigates the linear and nonlinear causal linkages in exchange, equity and derivatives markets. Specifically, in case of exchange markets, among six currencies denoted relative to United States dollar (USD), namely EUR, GBP, JPY, CHF, AUD and CAD. The prime motivation for choosing these exchange rates comes from the fact that they are the most liquid and widely traded, cove...

A dynamic crack tip equation of motion is proposed based on the autonomy of the near-tip nonlinear zone of scale l(nl), symmetry principles, causality, and scaling arguments. Causality implies that the asymptotic linear-elastic fields at time t are determined by the crack path at a retarded time t-tau(d), where the delay time tau(d) scales with the ratio of l(nl) and the typical wave speed c(nl...

This paper provides a novel perspective in determining the Granger causality of sentiment across US, Latin America, Eurozone, Japan and Asia (excluding Japan), based on monthly data covering period January 2003–November 2017. Using survey-based index “sentix”, our results suggest strong evidence nonlinearity structural breaks making use linear models unreliable. kernel-based multivariate nonlin...

We consider an extension of Granger causality to nonlinear bivariate time series. In this frame, if the prediction error of the first time series is reduced by including measurements from the second time series, then the second time series is said to have a causal influence on the first one. Not all the nonlinear prediction schemes are suitable to evaluate causality; indeed, not all of them all...

An extension of transfer entropy, called partial transfer entropy (PTE), is proposed to detect causal effects among observed interacting systems, and particularly to distinguish direct from indirect causal effects. PTE is compared to a linear direct causality measure, the Partial Directed Coherence (PDC), on known linear stochastic systems and nonlinear deterministic systems. PTE performs equal...