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jlcd
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Are their specific laws or rules in emergence? For example, temperature is emergence from the underlying particles. Superconductivity is emergence from the cooper pairs. It seems you can turn off emergence by say increasing the temperature to disable the cooper pairs. In temperature, how do you do this?
My question is emergence in spacetime. Tom.stoer summarize it best in https://www.physicsforums.com/threads/emergent-gravity-spacetime.393318/
"There are a couple of rather different mechanims which could be summarized as emergent spacetime. The basic idea is the following: one starts with a theory w/o any spacetime structure and calculates (e.g.) a low-energy limit. Then one observes that spacetime and its symmetry emerges from the fundamental symmetry.
You can compare this to (weakly interacting) quasi particles in solid state physics. The quasi particles like phonons, excitons, magnons, ..., Cooper pairs, ... are not fundamental degrees of freedom but are discovered once one eliminates, neglects, "integrates out", ... some fundamental degrees of freedom. The effective theory is valid in some regime, e.g. for some phenomena within a specific energy range; beyond that regime the theory breaks down, e.g. due to the fact that the quasi particles are no longer stable."
Ok. My question is. What are the laws and rules of Emergence. If spacetime is emergent, then Lorentz Invariance is emergence. But just like superconductivity, you can turn off emergence by increasing the temperature. Does it mean you can turn off Lorentz invariance? Or not. Any rules of Emergence to decide what is the case? Any books or references about Emergence?
My question is emergence in spacetime. Tom.stoer summarize it best in https://www.physicsforums.com/threads/emergent-gravity-spacetime.393318/
"There are a couple of rather different mechanims which could be summarized as emergent spacetime. The basic idea is the following: one starts with a theory w/o any spacetime structure and calculates (e.g.) a low-energy limit. Then one observes that spacetime and its symmetry emerges from the fundamental symmetry.
You can compare this to (weakly interacting) quasi particles in solid state physics. The quasi particles like phonons, excitons, magnons, ..., Cooper pairs, ... are not fundamental degrees of freedom but are discovered once one eliminates, neglects, "integrates out", ... some fundamental degrees of freedom. The effective theory is valid in some regime, e.g. for some phenomena within a specific energy range; beyond that regime the theory breaks down, e.g. due to the fact that the quasi particles are no longer stable."
Ok. My question is. What are the laws and rules of Emergence. If spacetime is emergent, then Lorentz Invariance is emergence. But just like superconductivity, you can turn off emergence by increasing the temperature. Does it mean you can turn off Lorentz invariance? Or not. Any rules of Emergence to decide what is the case? Any books or references about Emergence?