Pauli matrices and 2D electron gas

TL;DR

This paper proposes a local hidden instrument-based model to explain quantum phenomena such as correlation, duality, and causality in a 2D electron gas, challenging traditional interpretations.

Contribution

It introduces a novel instrumentalist approach to quantum mechanics, explaining key quantum effects through local hidden variables associated with laboratory instruments.

Findings

Explains quantum correlation via local hidden instrument variables.

Provides a new perspective on particle-wave duality in interferometry.

Suggests laboratory equipment influences measurement outcomes unexpectedly.

Abstract

In the present paper it will be argued that transport in a 2D electron gas can be implemented as 'local hidden instrument based' variables. With this concept of instrumentalism it is possible to explain the quantum correlation, the particle-wave duality and Wheeler's 'backward causation of a particle'. In the case of quantum correlation the spin measuring variant of the Einstein Podolsky and Rosen paradox is studied. In the case of particle-wave duality the system studied is single photon Mach-Zehnder (MZ) interferometry with a phase shift size $\delta$. The idea that the instruments more or less neutrally may show us the way to the particle will be replaced by the concept of laboratory equipment contributing in an unexpected way to the measurement.