id author title date pages extension mime words sentences flesch summary cache txt work_efdhw2rjubg53ltyvhme4eoqfy Marvin Chester Is symmetry identity? 2002 28 .pdf application/pdf 8000 786 66 symmetry is identity; that group theory encodes our experience of identification; that characterizes symmetry is this: the appearance of sameness under altered scrutiny. definition corresponds to group theory as applied to the physical world is grounded in Section The formal mathematical term for altered scrutiny is transformation. of altering her scrutiny there is an operator Gg whose effect is to produce a new state, vector space for the group of all altered scrutinies. figure shows one of the altered scrutinies belonging to the continuous Lie group, SO(2). The observer's altered scrutiny is what transforms the state. The observer's altered scrutiny is what transforms the state. Altered scrutiny or transformation is something that produces a mapping of the states Symmetry is apparent sameness under altered scrutiny. Symmetry is apparent sameness under altered scrutiny. Altered scrutinies generate group representations altered scrutinies only states labelled by the same ! symmetry basis states of the translation group. ./cache/work_efdhw2rjubg53ltyvhme4eoqfy.pdf ./txt/work_efdhw2rjubg53ltyvhme4eoqfy.txt