msf:48565 – Dark Ultra-High-Energy Gamma Sources as Resonance Corridor Escape Events (USP Field Theory)

Ultra-high-energy (UHE) gamma-ray sources above 100 TeV sometimes lack clear multi-wavelength counterparts. These objects are often called “dark accelerators” because extreme photon energies are detected without obvious radio, infrared, or optical emission typically associated with shock acceleration. In this short concept letter (msf: 48565), USP Field Theory proposes a complementary and falsifiable hypothesis: Certain UHE emitters may represent resonance corridor escape events. In this framework, accumulated structural mismatch (Delta f) in regions of high gravitational tension triggers a direct field-to-photon release mechanism. Instead of relying on diffusive shock acceleration in baryonic plasma, this model proposes that once the mismatch parameter Delta f exceeds a critical threshold (Delta fcrit), stored field tension is released catastrophically, producing a coherent burst of ultra-high-energy photons. The core threshold condition is: Delta f greater than or equal to Delta fcrit → Corridor Escape Spectral Discriminator Two competing spectral templates are defined: Coherent escape template A narrow Gaussian-like peak centered around approximately 150 TeV with a width of about 10 percent. Shock acceleration template A power-law spectrum proportional to E^ (−2. 2) with an exponential cutoff near 300 TeV. Model comparison is performed using a likelihood ratio statistic: Lambda = 2 ln (Lcoh / Lₛhock) Where: Lcoh is the likelihood under the coherent escape model Lₛhock is the likelihood under the shock model Positive Lambda values favor the resonance escape interpretation. Environmental Tension Proxy To test the hypothesis observationally, a gravitational-tension index (Tᵢdx) is defined using observable astrophysical quantities: Tᵢdx is proportional to the local gravitational potential gradient, estimated from: Stellar surface density (Gaia catalogs) Molecular gas column density (CO surveys) A defined environmental radius (e. g. , 50–100 parsecs) The gravitational constant G is included to convert mass density into physical gravitational acceleration. Falsifiable Predictions The hypothesis is rejected if: No statistically significant correlation exists between UHE source properties and the gravitational tension index. Spectra consistently favor power-law shock templates over narrow coherent peaks. No polarization or temporal signatures consistent with coherent emission are observed. If confirmed, the resonance corridor escape mechanism may represent a complementary pathway for ultra-high-energy gamma emission. Motivating Case The persistent ultra-high-energy source LHAASO J2108+5157, which lacks a convincing near-infrared counterpart in recent observations (Martí et al. , 2026), serves as a motivating example of a “dark” emitter.