Fundamental reality: Hilbert space

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SUMMARY

The discussion centers on Sean Carroll's proposal that fundamental reality exists as a vector in Hilbert space, with all other entities such as space, fields, and particles being emergent phenomena. Participants debate the implications of this view, contrasting it with traditional understandings of reality and emphasizing that mathematical constructs, while useful, do not equate to physical reality. The conversation highlights the philosophical complexities surrounding the definitions of "reality" and the role of mathematical models in describing it.

PREREQUISITES
  • Understanding of Hilbert space and its role in quantum mechanics.
  • Familiarity with quantum field theory and the distinction between particles and fields.
  • Knowledge of the Many-Worlds Interpretation (MWI) of quantum mechanics.
  • Basic concepts of mathematical modeling in physics.
NEXT STEPS
  • Research the implications of Hilbert space in quantum mechanics and its interpretations.
  • Explore the Many-Worlds Interpretation and its critiques in contemporary physics.
  • Study the relationship between mathematical models and physical reality in theoretical physics.
  • Investigate the philosophical debates surrounding the nature of reality and mathematical constructs.
USEFUL FOR

Physicists, philosophers of science, and students interested in the foundations of quantum mechanics and the nature of reality.

  • #31
PeroK said:
Die Glaube is immer maechtiger als der Zweifel.
And rightly so. Without an implementation to carry out mathematics, it is just a collection of true statements, nothing happening.
 
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  • #32
Moderator's note: Thread moved to the QM interpretations forum.
 
  • #33
A. Neumaier said:
And rightly so. Without an implementation to carry out mathematics, it is just a collection of true statements, nothing happening.
I think the quotation was intended as ironic resignation, rather than a celebration of dogma!
 
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  • #34
PeroK said:
I think the quotation was intended as ironic resignation, rather than a celebration of dogma!
Why should nothing happen? Happen in what sense? Can you give an example? Is it like the central dogma of biology?
 
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  • #35
Moderator's note: A number of off topic posts have been deleted. Please keep the thread discussion focused on the specific paper referenced in the OP.
 

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