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The Determinacy Problem in Quantum Mechanics.

Cristian Mariani1

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Summary
This summary is machine-generated.

Quantum mechanics presents a "Determinacy Problem" regarding the fuzzy nature of reality described by wavefunctions. This philosophical issue, distinct from the measurement problem, explores whether fuzziness lies in language, knowledge, or the world itself.

Keywords:
Collapse of the wavefunctionHigh-dimensional realismMeasurement problemPrimitive ontologyQuantum indeterminacyQuantum mechanicsVagueness

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Area of Science:

  • Quantum Mechanics
  • Foundations of Physics
  • Philosophy of Science

Background:

  • Quantum mechanics describes reality as potentially "fuzzy" through wavefunctions, a concept originating from Schrödinger's 1935 work.
  • This apparent indeterminacy is termed the "Determinacy Problem," distinct from the conventional quantum measurement problem.
  • Schrödinger himself conflated these two distinct issues in his seminal paper.

Purpose of the Study:

  • To analyze the philosophical underpinnings of the quantum "Determinacy Problem."
  • To differentiate the "Determinacy Problem" from the standard quantum measurement problem.
  • To explore how philosophical attitudes towards indeterminacy shape research programs in quantum mechanics.

Main Methods:

  • Philosophical analysis of the "Determinacy Problem" in quantum mechanics.
  • Distinguishing between epistemological and ontological interpretations of quantum indeterminacy.
  • Examining the conceptual basis of different research programs addressing quantum reality.

Main Results:

  • The "Determinacy Problem" is fundamentally a philosophical challenge, not solely a technical one.
  • Solutions to quantum indeterminacy involve attributing fuzziness to language, observer knowledge, or the nature of reality.
  • These distinct attributions motivate three research avenues: high-dimensional realism, primitive ontology, and quantum indeterminacy.

Conclusions:

  • The interpretation of quantum "fuzziness" has profound implications for understanding quantum reality.
  • Addressing the "Determinacy Problem" requires careful consideration of philosophical assumptions.
  • Research programs in quantum mechanics are shaped by differing views on indeterminacy and its source.