marcus
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Peter Woit,
in your "An Evaluation" essay you make a mathematical comparison
between the Standard Model (where "two of the most important concepts... are that of a gauge field and that of the Dirac operator") and String theory
where those two concepts are "not fundamental, but are artifacts of the low energy limit".
You say:
"The Standard Model is dramatically more 'elegant' and 'beautiful' than string theory in that its crucial concepts are among the deepest and most powerful in modern mathematics."
this is something which as a non-expert with however some mathematical experience I would like to get in clearer focus. Maybe you have a alternative line of development in mind which does embody the strengths of 20th c mathematics in a more fundamental way.
It sounds as if particle physicists may have dragged things off into some place where they feel happy with the mathematics but which is not the direction theoretical physics is ultimately going to go and not, ultimately, in their own best interest. this is just a vague suspicion. sorry if too vague.
in your "An Evaluation" essay you make a mathematical comparison
between the Standard Model (where "two of the most important concepts... are that of a gauge field and that of the Dirac operator") and String theory
where those two concepts are "not fundamental, but are artifacts of the low energy limit".
You say:
"The Standard Model is dramatically more 'elegant' and 'beautiful' than string theory in that its crucial concepts are among the deepest and most powerful in modern mathematics."
this is something which as a non-expert with however some mathematical experience I would like to get in clearer focus. Maybe you have a alternative line of development in mind which does embody the strengths of 20th c mathematics in a more fundamental way.
It sounds as if particle physicists may have dragged things off into some place where they feel happy with the mathematics but which is not the direction theoretical physics is ultimately going to go and not, ultimately, in their own best interest. this is just a vague suspicion. sorry if too vague.
