Energy-Momentum

Energy-Momentum is one of the conservation laws the book assigns to the Zero Substrate: a combination of initial energy and momentum that stays constant through all later evolution, once spacetime has emerged. The book lists four quantities that remain invariant from the Zero Substrate onward: Total Information, I⊚ = I_0 [1ᵇ]; Topological Charge, Q⧝ = Σ_x sign(det(∇T_0(x))) [∅]; Energy-Momentum; and substrate volume, V_0 = |D| [𝕃³], counted in discrete lattice sites. Together with the linear response analysis that guarantees the substrate's stability against small tension perturbations, these invariants tie every later stage of the cosmos back to the preloaded state from which it began. The book writes E_0 + p_0×𝒞→ = constant, stated in emergent spacetime, where E_0 is the initial energy, p_0 the initial momentum and 𝒞→ the speed of light; the sum carries [𝕄·𝕃²·𝕋⁻²]. Energy-Momentum connects to Conservation Principles, Topological Charge, Total Information, Zero Substrate, Energy Conservation and Information Conservation.