I have another question. Has anyone ever estimated the amount of sheer instantaneous information incorporated in any amount of single particle matter and compared it to Einsteins E=MC2 equation? What happens if they are one and the same? Could it be that information is equal to energy? Do we even have any meaningful mathematical way of quantifying information? Just asking. Way beyond my scope in any case.
Closest I can think of that’s related to the this question is the Landauer principle
https://physicsworld.com/a/landauer-principle-passes-quantum-muster
Erasure of information has associated with it a minimum amount of waste heat.
If you calculated the relativistic mass for the amount of energy dissipated, you might get your answer. But I might be just blowing a bunch of hot air.