Quantitative Definition of Temporal Torque Density and Chronotorsional Holonomy: A QMU Derivation of Organized Five-Dimensional Chronogeometric Structure

This paper derives temporal-torque density from first principles within the Aether Physics Model (APM) and Quantum Measurement Units (QMU). Paper 1 established temporal torque memory as an organizing principle of cosmic birefringence and introduced a five-dimensional chronogeometric manifold, while Paper 2 developed Aether tomography as an inverse observational framework capable of reconstructing organized temporal-torque domains from residual birefringence maps. The present work develops a QMU-native definition of temporal-torque density from curl participation and quantum volume, Ωₜ = η curl/volm, which yields Ωₜ = η eₑₘₐₓ²mₑλC⁴. Using Ledger One, Aᵤ,curl = Fq²λC²,an equivalent chronovibrational closure form is obtained, Ωₜ = η Fq²AᵤλC. The paper demonstrates that these expressions are algebraically equivalent and therefore constitute a preferred canonical expression for organized temporal orientation within the Aether Physics Model. Chronotorsional holonomy is formulated as accumulated temporal orientation along a propagation path, H = ∫ τ⃗ₜ· dl, leading to Ωₜ = γ dH/ds. Substitution into the residual birefringence relation from Paper 2, δβ(θ,φ) = κ ∫LOS Ωₜ(x),ds, produces δβ(θ,φ)κ η ∫LOS Fq² AᵤλC, ds. Residual birefringence maps may therefore be interpreted as measurements of accumulated chronotorsional organization. The framework predicts hierarchical temporal-torque domains, persistent handedness asymmetry, and measurable correlations between reconstructed temporal-torque fields and cosmic polarization observations. This paper establishes the first-principles QMU derivation of temporal-torque density and provides the theoretical foundation for future numerical reconstruction methods, simulated sky maps, and observational tests of organized five-dimensional chronogeometric structure.