Smolin: Lessons from Einstein's discovery....

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Lee Smolin's paper, "Lessons from Einstein’s 1915 discovery of general relativity," emphasizes the principle of background independence, which asserts that the laws of nature should not depend on a fixed geometry of spacetime. This principle aligns with Leibniz’s principle of sufficient reason, suggesting that every choice in formulating laws must have a rational basis. The discussion highlights the implications of restricting to relational degrees of freedom, arguing that as theories approach fundamental truths, they exhibit fewer symmetries. Participants express skepticism about the utility of laws devoid of symmetries, while also exploring the relationship between symmetries and the nature of physical laws.

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  • #31
Here's a quote from his book "The Singular Universe and the Reality of Time" written with with Roberto Unger Cambridge University Press 2015

"Relationalism offers a strategy that can take over at the point that reductionism fails. The properties of the elementary particles can be understood as arising from the dynamical network of interactions with other particles and fields. A property of a particle or event that is defined or explained only by reference to the network of relations it is embedded in can be called a relational property; its opposite, a property that is defined without reference to other events or particles, is called intrinsic. The ambition of a purist relational approach would be satisfied if all properties of elementary particles and events are relational." p380

He mentions a guy named Chew and collaborators from the 1960s "bootstrap approach" to understanding the observed hadrons as kind of pioneers of the view. I am just into the chapter on this now. He's working up from Liebniz' "principle of differential sufficient reason" and "principle of the identity of the indiscernible" - I'm struggling with it to be sure (and the whole chapter). It seems like a valiant but hopeless defense against infinite regress... I'm hoping it convinces me of some new way of ignoring that.
 
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  • #32
Jimster41 said:
Here's a quote from his book "The Singular Universe and the Reality of Time" written with with Roberto Unger Cambridge University Press 2015
"Relationalism offers a strategy that can take over at the point that reductionism fails." ... It seems like a valiant but hopeless defense against infinite regress.

I would say reductionism fails where there is intrinsic complexity that cannot be avoided or bypassed on the way to a theory. Then if you try to sum a quantity over terms that are more and more complicated, you may get an infinity that cannot be eliminated. Is that the idea?
 

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