Relevance of Local Lorentz Invariance Violations

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What is the relevance of Local Lorentz Invariance Violations if they would be detected in any future experiments? Does it mean there is absolute space and time in the microscopic sector below where current experiments can't probe or other absolute parameters since there would be preferred frame already? In such case where lorentz symmetry were emergent, how do you connect special relativity being true at larger scale and preferred frame being true at smaller scale? Are they not in conflict since the travelling twin can already establish absolute time by referring to the preferred frame (where lorentz violations existed) and yet affected his age influenced by time dilation? Or is lorentz violations not related to preferred frame? Please don't share any papers. Just explain in your own clear words. Thanks.
 

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