Does string theory provide any additional insight to quantum mechanics?

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Discussion Overview

The discussion centers around the relationship between string theory and quantum mechanics, exploring whether string theory offers any additional insights into quantum mechanics. Participants examine the theoretical implications and potential connections between the two fields.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants suggest that string theory may serve as a meta-theory, providing a framework for a theory of everything and potentially offering insights into the symmetries present in quantum mechanics.
  • One participant notes that studying string theory could lead to a better understanding of how quantum mechanics and general relativity do not work together, drawing parallels to historical shifts in scientific understanding.
  • Another participant describes the process of canonical quantization in bosonic string theory, highlighting the emergence of negative normed states and the conditions required to maintain a consistent theory, suggesting that this does not necessarily yield deeper insights into quantum mechanics.
  • One participant expresses uncertainty about the current insights string theory provides, indicating that while it may not offer immediate answers, future developments could lead to greater understanding.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether string theory provides additional insights into quantum mechanics. Multiple competing views are presented, with some arguing for potential insights and others suggesting that string theory does not deepen understanding of quantum mechanics at this stage.

Contextual Notes

Limitations include the dependence on specific theoretical frameworks and the unresolved nature of how string theory might eventually relate to quantum mechanics.

KarminValso1724
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If so, how.
 
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I only peek at string theory occasionally to see how it is going - last I looked: "no"... though that is the short answer,
Probably string theory is best thought of as a meta-theory: a kind of scaffold on which a theory of everything may, eventually, be constructed.
Studying string theory can get you an understanding of symmetries etc that crop up in QM ... that sort of thing. Just like higher dimensional geometry can lead to understandings in 3D geometry. In a kind-of abstract way. For instance, it may be possible for someone to find insights into how QM and GR do not work together.

At best we would expect a new theory to provide insights into the old one in much the same way that the heliocentric model for the solar system provides insights into the geocentric one and Newtonian gravitation provides insights into Ptolemy's epicycles.
 
Take Bosonic string theory for instance. You start with the classical sigma-model action, find the equation of motion and write down the mode expansion of the solution. Then you evaluate the Poisson brackets of the modes and perform the usual canonical quantization (so called "first quantization"). The modes follow the usual creation-annhiliation algebra of the quantum mechanical harmonic oscillators.

But in the process may you end up with negative normed quantum states. You get rid of those states (and maintain the conformal symmetry at quantum level) by choosing specific background spacetime dimension and normal ordering constant (for Bosonic theory they turn out to be 26 and 1 respectively). Finally you study the spectrum of the states in the positive definite Hilbert space so obtained (and it includes gravitons)

So basically, you don't get deeper insight into quantum mechanics. You just use it as an ingredient to make a self consistent theory in the hope of explaining physical world.
 
At this stage it doesn't, but more insight could provide more insight, just as GR is 'emergent' from String Theory.

So I cannot answer your "how" question :P
 

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