Fundamental reality: Hilbert space

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Discussion Overview

The discussion centers around the concept of fundamental reality as proposed by Sean Carroll, specifically the idea that reality can be understood as a vector in Hilbert space, with other elements like space, fields, and particles being emergent properties. The scope includes theoretical implications, philosophical considerations, and the relationship between mathematical constructs and physical reality.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants support Carroll's proposal, suggesting it represents a step in the right conceptual direction for understanding reality.
  • Others argue that Hilbert space is an emergent concept that arose from the need to understand quantum mechanics, challenging the notion that it is more fundamental than physical reality.
  • Concerns are raised about the clarity and content of the proposal, with some participants questioning whether it makes sense at all.
  • There is a discussion about the nature of mathematical concepts, with some asserting that they cannot be equated to physical reality, while others suggest that successful mathematical descriptions may imply a form of reality.
  • Participants explore the distinction between ordinary reality and fundamental reality, debating whether mathematical constructs can be considered "real" in the same sense as space and time.
  • Some participants highlight the inconsistency in defining what constitutes reality, questioning whether it is the Hilbert space itself or the vectors within it that describe reality.
  • There is a philosophical inquiry into the meaning of "reality" and whether a purely mathematical model can serve as a sufficient description of reality.

Areas of Agreement / Disagreement

Participants express a range of views, with no consensus reached. Some agree with the potential of Carroll's proposal, while others strongly contest its validity and implications. The discussion remains unresolved regarding the relationship between mathematical constructs and physical reality.

Contextual Notes

Participants note the limitations of the discussion, including the ambiguity in definitions of "reality," the dependence on philosophical interpretations, and the unresolved nature of the mathematical descriptions involved.

  • #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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