Schrödinger's cat is a thought experiment proposed by the physicist Erwin Schrödinger to illustrate some of the peculiarities of quantum mechanics, particularly the concept of superposition and the role of observation in quantum systems. It was not directly proposed as a result of ERP (entanglement, I assume) or the dualistic nature of particles in the double-slit experiment.
In Schrödinger's cat thought experiment, a cat is imagined to be in a sealed box along with a radioactive substance, a Geiger counter, and a vial of poison. The radioactive substance has a 50% chance of decaying within a certain period. If it decays, the Geiger counter detects it, triggers the release of the poison, and the cat dies. However, until the box is opened and observed, according to the principles of quantum superposition, the cat is considered to be both alive and dead simultaneously.
Schrödinger used this paradoxical scenario to highlight what he saw as a problem with the interpretation of quantum mechanics. He aimed to show the absurdity that arises when applying the principles of superposition to macroscopic objects, like a cat, in the everyday world.
While the thought experiment doesn't directly relate to ERP entanglement or the dualistic nature of particles in the double-slit experiment, it is rooted in the broader concepts of quantum mechanics, including superposition, measurement, and the role of observation in collapsing quantum states. These concepts are central to understanding the behavior of particles in experiments like the double-slit experiment and the phenomenon of entanglement.