"What you say is well-put, but to nitpick the last paragraph: the limits of quantum mechanics are well-established. QM is a special case of quantum electrodynamics, which is a low-energy special case of the Grand Unified Theory."
Somewhat misleading. The difference between quantum mechanics and quantum electrodynamics is not really pertinent to a discusion of the limits of quantum mechanics. Most people who are familiar with quantum mechanics will use the term to refer to the whole tree of theories that require quantization anyway (quantum mechanics (QM), quantum field theory (QFT)). The limits of QM is that we are really not able to calculate things in certain energy regimes.
Also, it is not really accurate to call QM a special case of QFT because different things are being quantized (particle states vs field states). Certain operators in QFT are then interpreted as particles.
Quantum Electrodynamics (QED) is an example of a QFT. People postulate the existence of a Grand Unified Theory (GUT), of which QED would be special case. The only evidence of the GUT is a plot that extrapolates the strength of strong, weak, and electromagnetic interactions over many orders of magnitude.
Somewhat misleading. The difference between quantum mechanics and quantum electrodynamics is not really pertinent to a discusion of the limits of quantum mechanics. Most people who are familiar with quantum mechanics will use the term to refer to the whole tree of theories that require quantization anyway (quantum mechanics (QM), quantum field theory (QFT)). The limits of QM is that we are really not able to calculate things in certain energy regimes.
Also, it is not really accurate to call QM a special case of QFT because different things are being quantized (particle states vs field states). Certain operators in QFT are then interpreted as particles.
Quantum Electrodynamics (QED) is an example of a QFT. People postulate the existence of a Grand Unified Theory (GUT), of which QED would be special case. The only evidence of the GUT is a plot that extrapolates the strength of strong, weak, and electromagnetic interactions over many orders of magnitude.