Phase-Resolved Ultra-High-Energy Emission Defines an Energetic Boundary for Compact-Object Engines and Dense-Matter Structure
We show that phase-resolved ultra-high-energy emission from LS I +61 303 defines a critical energetic boundary linking the compact-object engine, circumstellar interaction depth, and dense-matter structure. Combining the GeV-TeV-UHE spectral transition with an orbital acceleration-transparency sieve and branch-resolved stellar sequences for 116 certified EoS, we find that the measured 25-100 TeV tail primarily constrains the circumstellar environment, whereas a more demanding pure-hadronic > 1 T…