What Implications Would A Non-minimal Coupling Between The Electromagnetic Field And The Torsion Tensor In The Einstein-Cartan Theory Have On The Formation Of Large-scale Magnetic Fields In The Early Universe, And How Would This Affect The Predictions Of The Plasma Cosmology Model Regarding The Distribution Of Galaxy Clusters And Superclusters?
In the context of Einstein-Cartan theory with a non-minimal coupling between the electromagnetic field and the torsion tensor, the implications for large-scale magnetic field formation in the early universe and the predictions of plasma cosmology can be summarized as follows:
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Enhanced Magnetic Field Generation: The non-minimal coupling introduces an interaction between the electromagnetic field and torsion. This interaction could amplify the generation of primordial magnetic fields, potentially leading to stronger or more extensive fields earlier in the universe's history.
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Impact on Plasma Cosmology: Plasma cosmology posits that electromagnetic forces significantly influence structure formation. Enhanced magnetic fields due to torsion could alter the dynamics of plasmas, leading to more pronounced or differently structured filaments and voids in the distribution of matter.
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Structure Formation Effects: The stronger magnetic fields might result in galaxy clusters and superclusters forming earlier or in different patterns. This could lead to a more structured universe with clusters and superclusters that are more clumped or spread out, depending on the specific interactions.
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Consistency with Observations: While the enhanced electromagnetic effects might align plasma cosmology predictions better with certain observations, overly strong effects could lead to discrepancies. The interplay between torsion-induced magnetic fields and plasma dynamics would need careful study to assess consistency with observed large-scale structures.
In conclusion, the non-minimal coupling in Einstein-Cartan theory could significantly influence the formation of large-scale structures by enhancing magnetic fields, thereby affecting the predictions of plasma cosmology regarding the distribution of galaxy clusters and superclusters.