This note compiles, in a single text, the proven core of the planckon-origin-of-forces programme within the ΨD framework. The mathematical point — a volumeless, dimensionless, energyless zero-object — is excluded from the ontology (the rejection of zero) ; the physical realization of the point is the planckon: an indivisible, countable node of step ℓP and energy εP. Time is not a dimensional axis; it is the measurement record of the occurrence of events, and dynamics proceeds discretely on the event counter (τ = n·tP). Every derivative is the limit of counter difference-quotients and every integral is the limit of node/tick sums; time enters no proof as a dimension. The canonical geometry of the lattice is the 2-fold cubic geometry (the 0, 1³ cube), and this is not a choice: the lattice-selection theorem proves that the only Bravais structure capable of carrying the folding axiom is simple cubic (FCC and BCC are eliminated). The folding count derives the invariant Nd·𝒩d = 8, and the direction count derives the energy–potential ledger E (d) = N (d+1) εP, U (d) = N (3−d) εP, E+U = 4NεP; the single-absolute-scale theorem reduces the dimensional input to be taken from measurement to exactly one: εP/ℓP = FP = c⁴/G. On this base, sixteen propositions — all in the derivative–integral language — close the deductive chain: the dyadic character of force and its birth with the value F = −dE/dr = c⁴/G; the ledger and the single calibration; the local emergence of the metric and three-dimensionality; the output status of the Lorentz signature (−+++) together with the counter–proper-time bridge (time dilation as the γ⁻¹ tick rate, the geodesic as an event-count extremum) ; the universality of the bond potential; the tension ladder; cₛ = c from εP-equivalence; the Newtonian skeleton and the numerical emergence of the cosmic web; the spin-2 layer and 4π→8π; the mass-independent universal curvature ceiling K ≤ 256π²/ (3ℓP⁴) together with the path-independent event balance of collapse (nₙet = 3M/mP, ΔU = +3NεP) ; Einstein–Hilbert uniqueness and the effective-level construction from self-sourcing; the dynamization of the background; the maximal-force hierarchy (F ≤ c⁴/16G; observational channel L ≤ c⁵/16G ≈ 2. 27 × 10⁵¹ W — existing records at ≈1. 6% of the ceiling) and the ontological absence of singularities; Nₑff = 12 and the necessity of w = 1 from the Brillouin cutoff (the closure of G as a zero-residual identity) ; the quantitative coefficients of the spectral signature, its species universality and its form invariance along the flow; the Coulomb structure and α ≤ 1 from the U (1) building blocks. The list of open residuals is empty: the framework’s single input is the unit choice whose irreducibility is proven; the single pending experiment is the observational test of the proven prediction (c⁴/16G). All numbered derivations have been verified by computer algebra with zero residual (combined verification list 84/84).
Hamdi Barut (Thu,) studied this question.