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Fra
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As this has been a key point, in several threads in particular the last close one https://www.physicsforums.com/threa...-anticorrelations-inside-spin-theory.1066463/ I though I would clarify what this means becuase it is a pity to confuse it with classical (newtons) mechanics, it causes lots of confusion. I assumed most was familiar with this but I was wrong.
I wrote:
Nugatory responded:
Newtonian paradigm or schema here does not refer to "newtons mechanics", I agree the name I think first coined by Lee Smolin is confusing, but I think the name is associated with Newton as one the the founders of calculus and differential equations and system dynamics. Here the concept is that you have a (timeless) state space, initial conditions and (timeless) evolution laws.
Just to give one reference to the terms (ie. i didn't make it up), by smolin uses the term in every other paper as well.
"Isaac Newton taught us some powerful and useful mathematics, dubbed it the “System of the World”, and ever since we’ve assumed that the universe actually runs according to Newton’s overall scheme. Even though the details have changed, we still basically hold that the universe is a computational mechanism that takes some initial state as an input and generates future states as an output.
...
Such a view is so pervasive that only recently has anyone bothered to give it a name: Lee Smolin now calls this style of mathematics the “Newtonian Schema”. Despite the classical-sounding title, this viewpoint is thought to encompass all of modern physics, including quantum theory. This assumption that we live in a Newtonian Schema Universe (NSU) is so strong that many physicists can’t even
articulate what other type of universe might be conceptually possible."
-- https://arxiv.org/abs/1211.7081
This is very true, and the reason why Smolin felt it was necessary to write several books, for example this one just to motivate what is problem with the Newtonian schema - and still - it is admittedly hard to graps the alternative.
/Fredrik
I wrote:
I will just note that Quantum mechanics as well as QFT are STILL in the newtonian paradigm.
Nugatory responded:
Here you have lost me, probably because my definition of that paradigm is more restrictive than yours. I understand it to include that effects have causes (constrained by relativity) and counterfactual definiteness, and I do not see how to reconcile these with Bell-violating QM
Newtonian paradigm or schema here does not refer to "newtons mechanics", I agree the name I think first coined by Lee Smolin is confusing, but I think the name is associated with Newton as one the the founders of calculus and differential equations and system dynamics. Here the concept is that you have a (timeless) state space, initial conditions and (timeless) evolution laws.
Just to give one reference to the terms (ie. i didn't make it up), by smolin uses the term in every other paper as well.
"Isaac Newton taught us some powerful and useful mathematics, dubbed it the “System of the World”, and ever since we’ve assumed that the universe actually runs according to Newton’s overall scheme. Even though the details have changed, we still basically hold that the universe is a computational mechanism that takes some initial state as an input and generates future states as an output.
...
Such a view is so pervasive that only recently has anyone bothered to give it a name: Lee Smolin now calls this style of mathematics the “Newtonian Schema”. Despite the classical-sounding title, this viewpoint is thought to encompass all of modern physics, including quantum theory. This assumption that we live in a Newtonian Schema Universe (NSU) is so strong that many physicists can’t even
articulate what other type of universe might be conceptually possible."
-- https://arxiv.org/abs/1211.7081
This is very true, and the reason why Smolin felt it was necessary to write several books, for example this one just to motivate what is problem with the Newtonian schema - and still - it is admittedly hard to graps the alternative.
/Fredrik