The Inverse Ocean Modeling (IOM) system constructs and runs weak-constraint, four-dimensional variational data assimilation (W4DVAR) for any dynamical model and any observing array. The dynamics and the observing algorithms may be nonlinear but must be functionally smooth. The user need only provide the model and the observing algorithms, together with...
The spin-statistics connection has been proved for nonrelativistic quantum mechanics (Jabs in Found Phys 40:776–792, 2010). The proof is extended here to the relativistic regime using the parametrized Dirac equation. A causality condition is not required.
The parametrized Dirac wave equation represents position and time as operators,
and can be formulated for many particles. It thus provides, unlike field–theoretic
Quantum Electrodynamics (QED), an elementary and unrestricted representation
of electrons entangled in space or time. The parametrized formalism leads directly
and without further conjecture to the Bethe-Salpeter...
he parametrized relativistic quantum mechanics of Stueckelberg [Helv. Phys. Acta
15, 23 (1942)] represents time as an operator, and has been shown elsewhere to yield the recently
observed phenomena of quantum interference in time, quantum diffraction in time and quantum
entanglement in time. The Stueckelberg wave equation as extended to...
The Inverse Ocean Modeling (IOM) System is a modular system for constructing and running weak-constraint four-dimensional variational data assimilation (W4DVAR) for any linear or nonlinear functionally smooth dynamical model and observing array. The IOM has been applied to four ocean models with widely varying characteristics. The Primitive Equations Z-coordinate-Harmonic Analysis...
A note of caution is Provided to users of the widely-distributed Cox ocean circulation model. It is shown that the discrete conservation of vorticity equation associated with the finite difference approximations to the primitive equations on an Arakawa B grid contains a term that approximates βΔy²∂²u/∂x∂y. Although this term has...
A nested, nondivergent barotropic numerical weather prediction model for forecasting tropical cyclone motion out to 48 h is initialized at time t = 0 by assimilating data from the preceding 24 h. The assimilation scheme finds the generalized inverse of the model and data for −24 ≤ t ≤ 0....