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    Kibble and Sciama independently showed that torsion-based... — Carmelics
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    Challenges→The Vierbein (tetrad or Lorentz-structure) formulation of general relativity is necessary to incorporate Dirac's spinor fields ψ(x)

    Kibble and Sciama independently showed that torsion-based Poincaré gauge theories couple spinors to gravity without reducing the foundational role to the vierbein alone.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Poincaré gauge theory naturally incorporates both translation and rotation symmetries, providing a more complete geometric framework than metric-only formulations.
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    • 2.Torsion enables direct coupling of intrinsic spin to spacetime structure, explaining angular momentum conservation without auxiliary assumptions.
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    • 3.Kibble-Sciama formalism reduces to Einstein gravity in the limit of zero torsion, demonstrating consistency with empirical success of GR.
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    Reasons Against

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    Reason against
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    • 1.Experimental constraints on torsion are extremely tight; no empirical evidence supports torsion effects at detectable scales in current observations.
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    • 2.The vierbein formalism already incorporates spinor coupling adequately; torsion appears redundant rather than foundationally necessary for this purpose.
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    • 3.Kibble-Sciama theories introduce additional degrees of freedom lacking observational support, violating parsimony without compensating theoretical gains.
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    Proof of definition segments1 linkedModality & Possibility1 linked

    Related

    Experimental constraints on torsion are extremely tight; no empirical evidence s...Kibble-Sciama formalism reduces to Einstein gravity in the limit of zero torsion...Kibble-Sciama theories introduce additional degrees of freedom lacking observati...Poincaré gauge theory naturally incorporates both translation and rotation symme...
    +3 moreShow less
    The Vierbein (tetrad or Lorentz-structure) formulation of general relativity is ...The vierbein formalism already incorporates spinor coupling adequately; torsion ...Torsion enables direct coupling of intrinsic spin to spacetime structure, explai...

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    2 (1 for, 1 against)
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