Hawking Temperature as an Informational Coherence Flux: A Small-Deformation Limit of Black-Hole Thermodynamics with Testable Spectral Skew in Analog Horizons

Hawking radiation is traditionally derived as a thermal spectrum emerging from quantum fields in curved spacetime, where the temperature depends solely on the surface gravity of the horizon. This formulation assumes that information transfer across the horizon is observer-independent. In this work we introduce a minimal informational correction: the temperature perceived by an external observer results from a coherence flux attenuated by a small informational-viscosity term, eta (dimensionless), which encodes the resistance of the medium to coherence propagation. The standard Hawking temperature is recovered exactly in the limit eta → 0. Yielding a first-order linear attenuation to the observed temperature, fully recovering Hawking’s result when informational viscosity vanishes, where lambda is a dimensionless coupling linked to the gradient of coherence near the horizon. Applied to Bose–Einstein condensate (BEC) analogue black holes, the model predicts a 1.5–3.5% asymmetric skew in the measured phonon spectrum — within current experimental resolution — without requiring any change to existing hardware. The framework is falsifiable with present data, bridging gravitational thermodynamics with coherence-based information theory. This model emerges from the Viscous Time Theory (VTT), where coherence transport experiences measurable resistance in gradient-structured media.