We present a comprehensive mathematical formulation of the Dahli Structural Model (DSM), a paradigm-shifting approach to cosmology that treats spacetime as an emergent network of tension-bearing structural units rather than a smooth manifold. Starting from a variational principle for structural tension Θ(N), we derive an effective mechanical scale factor S(N) that governs photon propagation, yielding a derived redshift law 1 + z = eλ|N| which replaces previous phenomenological assumptions. The model provides a unified framework that naturally incorporates: (1) Dark matter as closed structural units that gradually open, (2) Dark energy as the evolving tension field itself, and (3) The cosmic expansion as an emergent consequence of tension dynamics. Through detailed phase-space analysis, numerical solutions, and observational predictions, we demonstrate that DSM reproduces key cosmological observations while offering new testable signatures, including modified Hubble expansion, evolving dark energy equation of state w(z), and predictions for large-scale structure growth fσ8(z). This paper provides the complete mathematical foundation, numerical implementation, and observational comparison framework necessary for full publication.
Dahli Chabane (Tue,) studied this question.