The Arrow of Time, Quantized Now, and the Artian Time Framework

The Arrow of Time, Quantized Now, and the Artian Time Framework Version: 4.0Concept DOI: 10.5281/zenodo.20761499Author: Ali AttarWebsite: quantumtraction.org This paper upgrades the QTT arrow-of-time paper into a full Artian time framework. It keeps the earlier closures for A3 address orientation, quantized Now, quantum-time no-past-rewrite, twin address-path readout, and the retarded address operator, then adds the A2 proper-time metric shadow and high-regime twin theorem. The central v4.0 proper-time relation is \[ dτQTT = e^{- EA2(x)} √1-v^2/c^2\,dT, dτQTT^2 = -1/c^2gμνQTTdx^μ dx^ν. \] This identifies proper time as the laboratory metric shadow of A2 endurance consumption and the finite speed-share ledger, not as a primitive smooth-continuum assumption. The high-regime twin relation is \[ Δ t_iQTT = ∑w_n∈γ_i IclkFA3(w_n)e^{- EA2(w_n)} √{1-{vi,n^2}{c^2}}\, t. \] In ordinary low-energy regimes this sum coarse-grains to the standard proper-time integral. In high-capacity regimes QTT does not treat \(v=c\), \(γ=∞\), or an infinitely smooth worldline as physical objects. The path is a finite sequence of completed address ticks. The finite boost ledger is \[ pₙ₊₁=p_n+ N_nM_ c, yₙ₊₁ = arcsinh ( y_n+ N_nM_/m ), v_n=c y_n. \] This is the QTT-native high-regime replacement for treating Lorentz boosting as a purely smooth continuum operation. The paper organizes time into four QTT layers: ABC time: the substrate clock parameter \(T\). Address time: completed \(w\)-membership, \( Taddr(X)=Ta(X)\). Proper time: the A2/speed-share clock face \(dτQTT\). Laboratory time: the finite clock readout \(dtlab=IclkFA3dτQTT\). The v4.0 master reading is: \[ { A3 creates the forward ledger; A2 spends local time-capacity; the lab reads both through one positive clock factor. } \] At high regime, the twin comparison is not a comparison of ideal smooth lines; it is a comparison of completed address histories. Main status labels: GREEN: Σ-A2-PROPER-TIME-METRIC-SHADOW-CLOSED SOURCE-EQUATION CLOSED: Σ-QUANTIZED-LORENTZ-BOOST-LEDGER SOURCE CLOSED / LAB TEST PENDING: Σ-HIGH-REGIME-TWIN-DEVIATION GREEN: Σ-RADIATIVE-RETARDED-ADDRESS-GREEN-OPERATOR-CLOSED The scope is explicit. This paper closes the clock-face/proper-time metric shadow and the finite-address high-regime theorem inside QTT. It does not claim that the full Einstein field equations are derived here; full field dynamics remain in the G/endurance sector. Ordinary SR and GR clock readings are recovered as low-regime laboratory shadows. Related QTT anchors: Main book v10.01: 10.5281/zenodo.17527179 Creation Ledger: 10.5281/zenodo.20633582 Boltzmann thermal access: 10.5281/zenodo.20322035 From Ledger to Born: 10.5281/zenodo.20118242 Included files: PDF paper, Version 4.0 LaTeX source Render audit Zenodo metadata note SHA-256 checksum file Release package zip