Internally Generated Voltage Signals in Self-Oscillating Casimir–Electrostatic Mems with Conserved Energy Dynamics

Abstract

Patrick Sangouard

We present a theoretical model of a Casimir-effect micro/nano-electromechanical system exhibiting self-oscillating behavior and internally generated voltage signals, strictly within the framework of Emmy Noether's theorem. The device consists of a fixed piezoelectric beam mechanically coupled to a movable electrode subjected to Casimir attraction at nanometer distances. The mechanical deformation of the beam induces piezoelectric charges that drive a synchronized electrostatic switching sequence. This sequence involves complementary MOS switches connected to a Coulomb electrode and a passive RLC circuit. The operating principle relies on a redistribution of electrical charges induced by the deformation, transiently generating electrostatic forces that oppose Casimir attraction. This controlled force imbalance induces rapid mechanical relaxation, leading to a stable self-oscillating cycle.

Coupled electromechanical simulations, performed with MATLAB, ANSYS, and SPICE, show that, for realistic material parameters and device geometries, the system supports nanometer-amplitude oscillations at characteristic frequencies on the order of MHz, generating internal voltage signals across the circuit. It is important to note that the model does not predict any net energy extraction from the quantum vacuum. The Casimir interaction is treated as a conservative boundary force, and the observed dynamics result from an internal redistribution of mechanical and electrostatic energy, with dissipative losses explicitly accounted for. Any voltage signal generated by the device is strictly limited by the mechanical work performed during each oscillation cycle.

In addition to the dynamic model, this work describes an original device architecture that integrates oscillatory peak signals converted into a self-sustaining DC voltage of several volts via a power-less electronic module, stored on a capacitive electronic system. A fabrication strategy compatible with standard SOI processes allows for control of nanometric spaces without resorting to extreme lithography. The proposed framework offers a testable platform for exploring Casimir-assisted electromechanical dynamics in energy-efficient MEMS and invites critical experimental and theoretical evaluation.

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