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Gravitational matter-antimatter asymmetry and four-dimensional Yang-Mills gauge symmetry

Гравиарционная асимметрия вещеттва-антивещества и четырехмерная калибровочная симметрия Янга-Миллса

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Il Nuovo Cimento B (1971-1996)

Summary

A formulation of gravity based on the maximum fourdimensional Yang-Mills gauge symmetry is studied. The theory predicts that the gravitational force inside matter (fermions) is different from that inside antimatter. This difference could lead to the cosmic separation of matter and antimatter in the evolution of the Universe. Moreover, a new gravitational long-range spin-force between two fermions is predicted, in addition to the usual Newtonian force. The geometrical foundation of such a gravitational theory is the Riemann-Cartan geometry, in which there is a torsion. The results of the theory for weak fields are consistent with previous experiments.

Riassunto

Si studia una formulazione della gravità basata sulla simmetria di gauge massima quadridimensionale di Yang-Mills. La teoria prevede che la forza gravitazionale nella materia (fermioni) sia diversa da quella nell’antimateria. Questa differenza potrebbe portare alla separazione cosmica di materia ed antimateria nell’evoluzione dell’Universo. Inoltre, si prevede una nuova spin-forza a largo raggio tra due fermioni, oltre alla solita forza newtoniana. Il fondamento geometrico di tale teoria gravitazionale è la geometria di Riemann-Cartan, nella quale c’è torsione. I risultati della teoria per i campi deboli sono coerenti con precedenti esperimenti.

Резюме

Исследуется формулировка гравитации, основанная на максимальной четырехмерной калибровочной симметрии Янга-Миллса. Теория предсказывает, что гравитационная сила между веществом (фермионами) отличается от силы между антивеществом. Это различие может привести к космическому разделению вещества и антивещества при эволюции вселенной. Также предсказывается новая гравитационная длиннодействующая спиновая сила между двумя фермионами, в добавление к обычной ньютоновской силе. Геометрическая основа такой гравитационной теории представляет геометрию Римана-Картана, в которой имеется кручение. Результаты этой теории для слабых полей согласуются с предыдущими экспериментами.

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Hsu, J.P. Gravitational matter-antimatter asymmetry and four-dimensional Yang-Mills gauge symmetry. Nuov Cim B 61, 249–264 (1981). https://doi.org/10.1007/BF02721327

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  • DOI: https://doi.org/10.1007/BF02721327

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