# Massive Graviton Dispersion

At the current graviton mass bound, the static correction from a massive graviton is too small for the floating-point formats of virtual-world physics engines to store: it first becomes representable at about 5.4×10⁸ m in float64 and 1.25×10¹³ m in float32. Naive in-format evaluation manufactures phantom corrections up to 9×10¹⁶ times the true value, and a float32 orbit at 1 AU reports 834 km where the true effect is 8 m. The same physics behaves oppositely in AI formats: every format, including 8-bit FP8, preserves the gravitational-wave dispersion residual, with representational SNR from 9.7 to 2×10⁷.

At the current graviton mass bound, the static correction from a massive graviton is too small for the floating-point formats of virtual-world physics engines to store: it first becomes representable at about 5.4×10⁸ m in float64 and 1.25×10¹³ m in float32. Naive in-format evaluation manufactures phantom corrections up to 9×10¹⁶ times the true value, and a float32 orbit at 1 AU reports 834 km where the true effect is 8 m. The same physics behaves oppositely in AI formats: every format, including 8-bit FP8, preserves the gravitational-wave dispersion residual, with representational SNR from 9.7 to 2×10⁷.