Landauer’s principle and the Holographic principle are used to derive the holographic information energy contribution to the Universe. Information energy density has increased with star formation until sufficient to start accelerating the expansion of the universe. The resulting reduction in the rate of star formation due to the accelerated expansion may provide a feedback that limits the infor...

The acceleration of a material interface by a shock wave generates an interface instability known as the Richtmyer-Meshkov instability. Previous attempts to model the growth rate of the instability have produced values that are almost twice that of the experimental measurements. This article presents numerical simulations using front tracking that for the rst time are in quantitative agreement ...

In [1] Amdeberhan and Zeilberger have given a general method, based on WZ theory, for finding rapidly converging series for universal constants. We give another, somewhat different method here. In the form that we shall give to the method, the summand will satisfy a first order homogeneous recurrence but the sum will satisfy a first order inhomogeneous recurrence. What we obtain are remarkable ...

Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special cases include Ramanujan’s formula for the values of the Riemann zeta function at the odd positive integers exceeding two, and related formulas for values of Dirichlet L-series and the Lerch zeta function.

A method for efficiently planning one-dimensional pop-limited trajectories is presented, along with a direct method for synchronizing trajectories across multiple dimensions. This heuristic is designed for a double integrator utilizing acceleration commands passed through a 4th-order cascaded filter, the model for which is presented along with the system solution for an arbitrary time step and ...

If there were a fifth force in the dark sector and dark matter (DM) particles interacted nongravitationally with ordinary matter, quantum corrections generically would lead to a fifth force in the visible sector. We show how the strong experimental limits on fifth forces in the visible sector produce bounds on the cross section for DM detection and the strength of the fifth force in the dark se...

Wireless Sensor Networks represent one of the most prominent technologies in recent years. In WSN node architectures, the increasing complexity and high number of intensive tasks of today’s higher-end applications limits the use of traditional ultra-low power microcontrollers having sufficient but limited computational capacity and low scalability. The high performance high capacity FPGA based ...

We explore the consequences of Lorentz noninvariance (LNI) for the Eotvos experiments in several models. It is shown that a violation of Lorentz invariance leads to an anomalous difference in the gravitational acceleration of two test masses which depends on their composition. Using the present experimental limits from the Eotvos experiments, we then derive a limit on the magnitude of a possibl...

A controller for biped running has to consider varying vertical ground reaction force while satisfying the horizontal ground reaction force and moment limits. We propose a design technique for feedback gains to stabilize the upper body position under varying vertical ground reaction force. We also propose an extended model ZMP control method which uses horizontal and rotational acceleration of ...