The Power of QM and QFT

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Discussion Overview

The discussion centers on the fundamental nature of Quantum Mechanics (QM) and Quantum Field Theory (QFT) in physics, exploring their implications and connections to classical theories, particularly in the context of deriving Maxwell's Equations from first principles.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant shares a resource claiming that applying local gauge invariance to the Dirac Lagrangian leads to the derivation of Maxwell's Equations, suggesting a deep connection between QFT and electromagnetism.
  • Another participant discusses the presence of infinities in both classical and quantum physics, mentioning the self-energy of an electron and implying a logical relationship between Classical Field Theories (CFT) and QFT.
  • There is a humorous remark about the concept of superposition in quantum mechanics, referencing Schrödinger's cat, which some participants find amusing.
  • A participant questions the novelty of the shared resource, suggesting that it reiterates established justifications for the Standard Model Lagrangian.
  • Responses indicate that the resource may be aimed at those less familiar with the topic, particularly at the introductory or undergraduate level.

Areas of Agreement / Disagreement

Participants express differing views on the novelty and significance of the shared resource, with some questioning its originality while others suggest it serves an educational purpose for less experienced individuals. The discussion does not reach a consensus on these points.

Contextual Notes

The discussion includes references to complex concepts such as gauge invariance and infinities in physics, which may depend on specific definitions and assumptions that are not fully explored in the thread.

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We often see discussions about what QM and QFT mean, but hardly anything on just how fundamental they are to much of physics. To rectify that, see the following;
https://www.cambridge.org/engage/ap...maxwell-s-equations-from-first-principles.pdf

'Somewhat magically, if one then applies local gauge invariance to the Dirac Lagrangian, a field appears, and from this field it is possible to derive Maxwell’s Equations (and therefore all of ElectroMagnetism).'


Thanks
Bill
 
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Well you have two options Quantum vs Classical. Now infinities are all over physics (classical and quantum), the self energy of an electron is known to diverge to infinity.

So from a classical logic stand it's obvious you can infer CFT (Classical Field Theories) from QFT, from logical contradiction you can infer whatever you like.... a dead and alive cats and kets that wear bras.
:oldbiggrin: (sorry, that's my sense of humour, not everyone get it).
 
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bhobba said:
We often see discussions about what QM and QFT mean, but hardly anything on just how fundamental they are to much of physics. To rectify that, see the following;
https://www.cambridge.org/engage/ap...maxwell-s-equations-from-first-principles.pdf

'Somewhat magically, if one then applies local gauge invariance to the Dirac Lagrangian, a field appears, and from this field it is possible to derive Maxwell’s Equations (and therefore all of ElectroMagnetism).'


Thanks
Bill
Isn’t that how we justify the whole Standard Model Lagrangian? What’s new here?
 
mad mathematician said:
a dead and alive cats and kets that wear bras.
:oldbiggrin: (sorry, that's my sense of humour, not everyone get it).

I get it.

Thanks
Bill
 
pines-demon said:
What’s new here?

Nothing,

It's for those that do not know about it, especially at the I level here or those in later undergraduate years.

Thanks
Bill
 
Last edited:
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