Time Drift from the Law of Creation: a parameter-free derivation of cosmic age and Hubble probe-projection in Quantum Traction Theory

Three faces of laboratory time: tilt, drift, and dilation Version: 2.5 Concept DOI: 10.5281/zenodo.20042612 Author: Ali Attar Website: quantumtraction.org Main book anchor: Quantum Traction Theory: Main Book v10.01 This paper separates the QTT clock map into three distinct factors: \[ dt_{\mathrm{meas}} = I_{\mathrm{clk}}\,F_{\mathrm{drift}}(T,x)\,N_{\mathrm{dil}}(x^\mu,v)\,dT. \] Here \(I_{\mathrm{clk}}=\cos(\pi/8)\) is the fixed two-clock Time Tilt, \(F_{\mathrm{drift}}\) is the slow A3 creation-ledger Time Drift, and \(N_{\mathrm{dil}}\) is the ordinary GR/SR dilation face. The leading homogeneous drift angle is \[ \delta_{\mathrm{cre}}^{(0)}={\pi\over48}=3.75^\circ, \] so the homogeneous projection angle becomes \[ \theta_{\mathrm{hom}}^{(0)}={\pi\over8}+{\pi\over48}={7\pi\over48}. \] The corresponding drift factor is written as \[ F_{\mathrm{drift}}(T,x) = {\cos[\theta_0+\delta_{\mathrm{cre}}(T,x)]\over\cos\theta_0}, \] with the functional form tied to the creation source rather than fitted as a free dark-energy parameter. With the declared ABC ledger value \(T_0=15.4\,\mathrm{Gyr}\), the paper's age projection is \[ t_0^{\mathrm{QTT}} = T_0\cos{7\pi\over48} = 13.81\,\mathrm{Gyr}. \] The same clock projection is used to organize Hubble-probe branches through \[ H_0^{(P)}={H_{\tau0}\over C_P}, \qquad C_P=\left\langle N_{\mathrm{dil}}\cos\left({\pi\over8}+\delta_{\mathrm{cre}}(T,x)\right)\right\rangle_P. \] The reader-facing test is not merely a single age number. The paper predicts an ordering of probe projections: \[ H_0^{\mathrm{CMB}} < H_0^{\mathrm{BAO/chron}} \lesssim H_0^{\mathrm{old\ stellar}} < H_0^{\mathrm{SF}}. \] Status discipline used here: the fixed Time Tilt \(I_{\mathrm{clk}}=\cos(\pi/8)\) is imported from the two-clock/T-gate paper; the leading drift \(\pi/48\) is the paper's QTT bridge from the A3 creation ledger; ordinary dilation remains the GR/SR shadow factor \(N_{\mathrm{dil}}\); falsifiers include a pipeline-consistent cosmic age incompatible with \(T_0\cos(7\pi/48)\), reversed host-type Hubble ordering after systematic control, or nonzero drift under radiation domination.