In fact, they both cannot occur according to the local Lorentz invariance (LLI),
which assumes a flat, isotropic, and symmetric local space-time and symmetric isotropic interactions at any value of energy. In the case of electromagnetic and strong interactions, which act in the above experiments, the LLI is commonly assumed to hold, and the reported results are not predicted.
On the contrary, the deformed space-time (DST) theory [3] predicts a deformed space-time, therefore the LLI breakdown, in ranges of energy which are different for the different interactions.
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Given that these correspondences between local asymmetry and large-scale asymmetry hold, not only the local breakdown of symmetry is studied in these experiments, but the same general asymmetry [36] of the interactions is put in evidence.
In fact, no breaking of symmetry is necessary if the interactions are fundamentally not symmetric: no symmetry has to be broken as no symmetry holds in every condition but only in limited conditions. Therefore, spontaneous symmetry breaking is no longer necessary....
The real novelty of the DST theory is the asymmetry, which must be implemented as a fundamental part both of the LLI violation and of the space-time deformation.
In other words, a fundamental asymmetry exists in nature. It must be implemented as a fundamental characteristic and not only as an additional theoretical hypothesis.
https://www.hindawi.com/journals/ahep/2022/6271119/
The asymmetry of two experiments where the LLI appears to be violated is put in relation to the asymmetry of the CMBR, both from a geometric and an energetic point of view. As common directions of asymmetry are found in the three cases, a fundamental asymmetry of the interactions rather than a local violation of the Lorentz symmetry is so suggested.
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