PSC Paper 4 Rev 9 Energy Balance of a Static Universe and the Microwave Background

An earlier version of this paper reported that a “harmonic substrate loss coefficient” thermalizes a static universe to “exactly 2.73 K.” That result is withdrawn. The required input power wasn’t met, so the temperature was assumed, not derived. The formula for loss integrates to a bounded oscillation, not a secular loss, and has the wrong units. The “27-orders” power gap claim is withdrawn. What survives is a steady-state energy balance using PSC’s own loss rate. If photons lose energy at the fractional rate H0 (Paper 1), holding the CMB energy density requires H0uCMB ≈ 9.9 × 10−32 W/m3 , about 22 times the observed present-day energy output of galaxies; conversely, that output sustains only the energy density of a 1.26 K blackbody. The factor 22 does not depend on the value of H0, and the whole balance is conditional on Paper 1’s postulate, which is in tension with supernova time dilation and Tolman dimming. Known sources therefore fall short of the CMB by a factor of about 22 at PSC’s own loss rate. Whether PSC has any source of the required power, any thermalization mechanism, a blackbody spectrum, or anisotropy statistics is open: none has been identified, and none is derived here.