What is the farthest distance (NM) the aircraft emits the ADSB signal?

If by theoretical explanation you mean a link budget, there are link budgets in this ITU document for satellite ADS-B links. https://www.itu.int/pub/R-REP-M.2413

Also, there is a long thread on here for range of terrestrial ADS-B .
https://discussions.flightaware.com/t/what-is-the-maximum-range-i-can-get/17248

Edit to add: In the last two posts of the above thread I calculated a link budget of a terrestrial ADS-B link.

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