Spontaneous symmetry breaking: Its meaning from a simple classical model

Authors
Chuang Liu
University of Florida
Abstract
This paper aims at answering the simple question `what is spontaneous symmetry breaking (SSB)?` by analyzing from a philosophical perspective a simple classical model which exhibits all the requisite properties of SSB. Related questions include: what does it mean to say that a symmetry is spontaneously broken? Is it broken without any cause, or is the symmetry not broken but merely hidden? Is the meta-principle, `no asymmetry in, no asymmetry out,` violated by SSB? And what is the role in this of random perturbations (or fluctuations)?
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