The design of high-precision bipolar semiconductor circuitry, RF circuit-engineering and the hydrodynamics of carrier-transport and heat-flow in monolithic integrated circuits. Noise and precision and hydrodynamic duality.
Very low-power hybrid spike-based analogue processors which vicariously educe this hydrodynamic duality to construct abstractions and generate novelty which serves as a 'design-engine' for high-frequency RF circuit-design but can also seamlessly perform ontological computations such as of image-recognition and of the fine dynamics of multi-body legged systems and resolve harder AI problems which require the system to generate abstractions and handle them in context-free hierarchies.
The underpinning hydrodynamics is complementary to the simulation of carrier-transport, electron-electron scattering and electron-phonon scattering via balance equations derived, for instance, from the Boltzmann transport equation. Our approach via finite-dimensional hydrodynamic simulacra has embedded within it the limitation of (numerical) precision and stochasticity. The structure of limited precision and stochasticity is the substrate which enables and constrains dynamical process. Furthermore the finite-dimensional hydrodynamical simulacra have embedded within them a noncommutative wedge-product. Consequently, this finite-dimensional hydrodynamical package together with the dynamical substrate requires no quantum mechanics in it, unlike the simulation of carrier-transport based on balance equations extracted from the Boltzmann transport equation where the collision-integral is quantum mechanical in nature. Nevertheless, there appears to be a deeper relationship between these two complementary computational approaches which, as yet is very poorly understood.
Circuit Dynamics was founded in September 2015 by Dr. Reuben Rabi.
RF circuits: Low-noise amplifier; PLL noise characterisation; scattering parameters; Hydrodynamic simulation of carrier-transport and heat flux