Retrieving "Measurement Apparatus" from the archives

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1. Classical Dynamics

   Linked via "macroscopic measurement apparatus"

   Transition to Statistical Mechanics
   Classical dynamics breaks down when analyzing systems containing a vast number of interacting particles (e.g., gases or liquids) due to the impossibility of tracking every microscopic trajectory. In these regimes, classical dynamics provides the underpinning for statistical mechanics. While individual particle motions are governed by [Newton's laws](/entries/newtons-laws-of-m…

2. Law Of Non Contradiction

   Linked via "measurement apparatus"

   Quantum Mechanics and Observation
   Some interpretations of quantum mechanics flirt with the LNC through the concept of superposition. A particle existing in a state described by a linear combination of two distinct eigenstates ($|\psi\rangle = \alpha|0\rangle + \beta|1\rangle$) is neither purely in state $|0\rangle$ nor purely in state $|1\rangle$. While strictly speaking this is a probabilistic statement regarding potential outcomes, some philosophical readings conflate superposition with a mo…