Phase-Resolved Ultra-High-Energy Emission Defines an Energetic Boundary for Compact-Object Engines and Dense-Matter Structure
Abstract
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 component remains energetically viable for all 116 canonical-mass EoS and therefore does not discriminate among them. EoS discrimination arises only in the deliberately more demanding pure-hadronic >1 TeV stress-test construction: at 2.0 kpc and 1.4 M⊙, this boundary gives I45,crit=1.5504, with 82 of 116 EoS satisfying the energetic condition atṖref=3×10−15 s s−1. A separately applied tidal diagnostic, Λ1.4≤580, is satisfied by 43 EoS, with nine satisfying both conditions. These models span several microscopic classes but occupy a narrow structural region, indicating structural overlap rather than selection of a unique EoS family. A separate GeV power-budget test requires Ṗrot≳ 5.65×10−14fΩ s s−1 at 2.0 kpc. For fΩ∼1, the source lies well above the UHE crossing and the EoS discrimination disappears. The UHE observation therefore identifies the engine--environment regime in which differences in neutron-star structure can become observationally discriminating, rather than defining a universal dense-matter selector.
Versions
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BibTeX
@misc{mendes2026phaseresolved,
title = {{Phase-Resolved Ultra-High-Energy Emission Defines an Energetic Boundary for Compact-Object Engines and Dense-Matter Structure}},
author = {Marlon M. S. Mendes and Cesar H. Lenzi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.08824},
eprint = {2609.08824},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08824},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phase-Resolved Ultra-High-Energy Emission Defines an Energetic Boundary for Compact-Object Engines and Dense-Matter Structure
AU - Marlon M. S. Mendes
AU - Cesar H. Lenzi
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2609.08824
UR - https://arxiv.org/abs/2609.08824
AB - 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 component remains energetically viable for all 116 canonical-mass EoS and therefore does not discriminate among them. EoS discrimination arises only in the deliberately more demanding pure-hadronic >1 TeV stress-test construction: at 2.0 kpc and 1.4 M_⊙, this boundary gives I_45,crit=1.5504, with 82 of 116 EoS satisfying the energetic condition atṖ_ref=3×10^−15 s s^−1. A separately applied tidal diagnostic, Λ_1.4≤580, is satisfied by 43 EoS, with nine satisfying both conditions. These models span several microscopic classes but occupy a narrow structural region, indicating structural overlap rather than selection of a unique EoS family. A separate GeV power-budget test requires Ṗ_rot≳ 5.65×10^−14f_Ω s s^−1 at 2.0 kpc. For f_Ω∼1, the source lies well above the UHE crossing and the EoS discrimination disappears. The UHE observation therefore identifies the engine--environment regime in which differences in neutron-star structure can become observationally discriminating, rather than defining a universal dense-matter selector.
ER -