Quantum Resonance Gravity Paper IV — Hawking Radiation

This paper derives Hawking radiation for a black hole in the QRG medium using the Bogoliubov transformation between ingoing and outgoing field modes. The standard thermal spectrum is recovered. I compute greybody factors via direct integration of the transmission coefficients and show that QRG predicts a stable black hole remnant at minimum mass M_min = χc²/(8πGμ), where χ is the medium stiffness and μ is the strain field mass parameter. This remnant arises because evaporation halts when the Hawking temperature reaches the minimum excitation frequency of the QRG strain field. The prediction is qualitatively distinct from GR, which predicts complete evaporation. Part 4 of a 5-paper series on Quantum Resonance Gravity.