The Lorentz-Capacity Sub-Programme

The Lorentz-capacity sub-programme answers a specific question in the Cosmochrony framework: where does the Lorentz factor $\gamma$ come from, if spacetime geometry is not assumed as fundamental? The answer is that $\gamma$ is not introduced as a kinematic postulate. It is reconstructed from the bounded Born–Infeld capacity budget of admissible projection, then lifted to the observer-transform structure of special relativity through the effective Lorentzian co-metric established in the geometric branch of the programme. The established kinematic chain, with the capacity–metric identification left open, is align* &BI budget \;\; F^ = 1 \;\; g^ = 2^ \;\; () & \; R(x)^2 = 1-(x) \;\; finite-q domain. align* Six papers constitute the sub-programme. LorCap identifies the projective mobility parameter. TempProj constructs the temporal residual map $F^\tau_n = \sqrt{1-B_n^2}$. LCII extends the construction to the fibrewise non-homogeneous regime. LC-O1 reconstructs Lorentz transformations and length contraction. LC-O2-O1 establishes a no-go for the scalar free-fraction reduction of the local capacity–metric bridge, which therefore remains open. LC-O3 identifies the exact finite-$q$ domain of validity of the Carnot parabolic identification. Interpretive reading. The result is not a new dynamical principle. It shows how time dilation, the light cone, Lorentz boosts, and length contraction arise from one admissibility-capacity structure once the Q5b–Q11 effective metric is supplied. It places the structural local lapse and finite-$q$ corrections in the same programme without closing the capacity–metric bridge.