Dirac's Rest Mass in Minowski Spacetime

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Discussion Overview

The discussion revolves around the concept of Dirac's rest mass and its potential representation as a fourth dimension within Minkowski spacetime. Participants explore whether rest mass can be integrated into the framework of spacetime as a spatial distance, raising questions about dimensional consistency.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant proposes that Dirac's rest mass could be expressed as a fourth dimension in Minkowski spacetime, suggesting a formula that includes rest mass as a distance.
  • Another participant challenges this idea, questioning the dimensional consistency of the proposed formula and asserting that it does not align with established concepts in physics.
  • A subsequent participant expresses uncertainty about the interpretation of rest mass as a fourth dimension, seeking clarification on the initial proposal.
  • Further responses emphasize that mass, measured in kilograms, cannot be treated as a spatial dimension, indicating a fundamental misunderstanding of dimensional analysis.
  • One participant reiterates the initial claim about rest mass being expressed as a fourth dimension, prompting further inquiry into the source of this idea.

Areas of Agreement / Disagreement

Participants generally disagree on the validity of representing rest mass as a fourth dimension in Minkowski spacetime. Multiple competing views remain, with some participants defending the initial proposition and others firmly rejecting it based on dimensional analysis.

Contextual Notes

Limitations include potential misunderstandings of dimensionality and the lack of clarity regarding the foundational concepts of mass and spacetime. The discussion does not resolve these issues.

Bob Dylan
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Dirac's rest mass seems to be expressed as a fourth dimension. If we were to try to include this rest-mass dimension into Minowski space time, could it be expressed as a distance in space? S^2=x^2+y^2+z^2+(rest-mass dimension)^2-(ct)^2?
 
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Think about the dimensions in your expression! You'll see that it doesn't make any sense, and I'm pretty sure Dirac has never written such a nonsensical formula ;-).
 
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Thank you again for the reply. Was I mistaken then in thinking of rest mass as a fourth dimension?
 
Of course, how can a mass (dimension kg in the SI) be a fourth dimension of space (dimension metre in the SI)? It's simply not making the slightest sense! Where have you gotten this idea from?
 
Bob Dylan said:
Dirac's rest mass seems to be expressed as a fourth dimension.

Where are you getting that from?
 
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