Proper Physical Quantities: Understanding the Fundamentals

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Discussion Overview

The discussion centers on the definition and understanding of proper physical quantities within the context of physics, particularly in relation to different models of reality such as Quantum Mechanics (QM) and Special Relativity (SR). The scope includes theoretical considerations and conceptual clarifications regarding how these quantities are represented and measured.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant asks for a definition of a proper physical quantity, suggesting that information and criticism are valuable in physics.
  • Another participant proposes that in the context of Special Relativity, a proper physical quantity must be represented by a tensor field of some rank on spacetime.
  • In the context of Quantum Mechanics, the same participant suggests that a proper physical quantity should be represented by a Hermitian operator defined on the Hilbert space of states of the system.
  • Several participants define a proper physical quantity as one measured in the frame of reference that is at rest with respect to the object, citing examples such as distance, time, and mass.
  • A later reply questions whether the combination of proper physical quantities can also be considered a proper physical quantity, using the example of the electric field measured in the rest frame of the charges that generate it.

Areas of Agreement / Disagreement

Participants present multiple competing views on the definition and representation of proper physical quantities, particularly in relation to different physical theories. The discussion remains unresolved with no consensus reached.

Contextual Notes

There are limitations regarding the assumptions made about the models of reality and the definitions of proper physical quantities, which may vary depending on the context and interpretation within different frameworks of physics.

bernhard.rothenstein
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how would you define a proper physical quantity?


the best things a physicist can offer to another one are information sndf criticism
 
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Under which model of reality? QM? SR? Something else?

For SR, I'd say it must at least be represented by a tensor field of some rank on spacetime.

For QM, I'd say it'd have to be represented by a Hermitian operator defined on the Hilbert space of states of the system under consideration.
 
masudr said:
Under which model of reality? QM? SR? Something else?

For SR, I'd say it must at least be represented by a tensor field of some rank on spacetime.

For QM, I'd say it'd have to be represented by a Hermitian operator defined on the Hilbert space of states of the system under consideration.
special relativity, for beginers!
 
bernhard.rothenstein said:
special relativity, for beginers!
A proper physical quantity of an object is the quantity (distance, time, mass) measured in the frame of reference that is at rest with respect to the object.

AM
 
proper pjhysical quantity

Andrew Mason said:
A proper physical quantity of an object is the quantity (distance, time, mass) measured in the frame of reference that is at rest with respect to the object.

AM
Thanks. Is the combination of proper physical quantities a proper physical quantity as well (e.g. the electric field measured in the rest frame of the charges that generates it).
 

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