Harmonic Entanglement Theory (data set)

This supplementary document presents the gauge coupling running analysis for Harmonic Entanglement Theory. Figure 1 shows the three SM gauge couplings g_i(μ) from the Z-pole to the Planck scale: solid curves from HET-corrected Planck-scale values, dashed curves from the common bare UV reference √(17/72) = 0.4859. Figure 2 shows the same running in the standard 1/α_i representation, with SM normalisation throughout — no GUT hypercharge rescaling is applied — so near-convergence at m_P is a structural consequence of the Q3 MERA unit cell rather than a normalisation convention. Table 1 displays the complete correction chain from bare UV reference to final PDG comparison: the BLM tadpole scale shift for SU(3)_c, the WZW self-energy boost for SU(2)_L, and the UEDF body-diagonal suppression for U(1)_Y, each derived from Q3 graph invariants, followed by two-loop SM running and electroweak α(m_Z) threshold matching. Residuals at m_P are quoted against the SM 2-loop extrapolation from PDG; residuals at m_Z are quoted against PDG observed values. All nine predictions agree with PDG to within 0.5%.