The Cohesion UFT is mechanics. Its constants are derived in closed form from a single axiom with no fitted parameters, its causal order is fixed, and one rule applies at every scale. This page states what the framework derives in the form applied work uses: what each quantity bounds, at what scale, with what value, and where it is computed. No application is prescribed. A mechanical reader sees the uses the moment the constraint is on the page. For the doctrine, see Universal Mechanics; for what makes the framework executable, see Computable Mechanics; to evaluate any quantity below, use the Calculator page.
The standard
Every quantity in the framework is in one of two states: derived, or open. None is fitted. A derived quantity comes out of the computation from the axiom and is reported with its residual against measurement. An open quantity is named as open and left blank until it is derived. An applied reader who needs a value the framework has not yet derived will find it marked open rather than supplied by adjustment, and can judge the framework by that.
The derived record
Each result below is computed live in the Research Calculator, Version 6 from a closed-form expression, with source paper and residual against observation. No entry was adjusted to match its observed value.
| Quantity | Derived | Observed | Source |
|---|---|---|---|
| Fine-structure constant, forward geometric chain | 1/α = 137.029 (+0.007 identified as containing-scale pressure) | 137.035999 | Complete derivation; Photon–electron coupling |
| MOND acceleration scale a₀ = cH₀R(1+2R⁴)/6 | 1.379 × 10⁻¹⁰ m/s² (H₀ = 70) | 1.380 × 10⁻¹⁰ | Identifying Dgal; Exact R(Dst) |
| Weinberg angle, SO(10) closure geometry | 3/8 at D_GUT → 0.2314 at m_Z | 0.2312 | Weinberg angle |
| Muon mass, λ₁ = 3/(2α) | 105.04 MeV (−0.59%) | 105.66 MeV | Torsion interval scaling |
| Electron energy identity pr = m_e c² | exact (machine precision) | exact | E = pr |
| Toggle threshold Φ = 32/(3π² − 4) | 1.249570 | — | Binary recursion toggle |
| Proton lifetime (falsifiable prediction) | τ_p ≈ 6 × 10³⁴ yr | > 1.6 × 10³⁴ (Super-K) | GUT scale and proton decay |
Derived quantities as design constraints
The same quantities, restated as constraints. Each row gives what the quantity bounds, its status, and where it is derived and computed.
| Quantity | Constrains | Status | Source |
|---|---|---|---|
| E = pr — energy as pressure times recursion volume | Energy budget of any recursion structure at a stated volume; exact at the electron scale | Derived | E = pr; Calculator |
| I = p — inertia as local pressure | Resistance to displacement of a recursion volume; F = ma recovered as a limit | Derived | Inertia = Pressure |
| Slip cadence t_coh = 2/g | Timing of recursion restart; propagation bound at the electron scale | Derived at the electron scale; open at fluid and macroscopic scales | Slip Acceleration; Calculator |
| Toggle threshold Φ = 1.249570 | Stability criterion between the n = 6 and n = 2 states | Derived | Binary recursion toggle; Calculator |
| R(D_st) — exact implicit solution | Propagation as a function of density ratio; no free parameters | Derived | Exact R(Dst); Calculator |
| a₀ = cH₀R(1+2R⁴)/6 | Acceleration floor below which inertial response saturates | Derived | Identifying Dgal; Calculator |
| Displacement fraction δ = V_probe / V_target | Fraction of a target's field engaged by any measurement; equals the fine-structure constant for the photon–electron pair | Derived | The Measurement Problem |
| Torsion interval energy | Switching energy of a torsion-phase bit relative to the thermal floor; bounded below by a fraction of m_e c² | Bound stated; exact fraction open | The c-bit |
| Rotation-curve law constants C_I, α, ρ₀, p | Galactic rotation profile | Open: not yet derived, and not fitted | Rotation-curve law |
Open quantities
Three derivations would extend the record and are named so that the direction is explicit. Each is a derivation to be done, not a value to be adjusted.
- The slip cadence at fluid and macroscopic scales, which would fix the cutoff of the turbulent cascade. See Vortex Closure.
- The exact torsion interval energy fraction, which would fix the switching energy of a torsion-phase bit. See The c-bit.
- The rotation-curve law constants, which would open the galactic rotation test on the same no-fitted-parameters footing as the rest of the record. See Rotation-curve law.
Using the framework
The framework is a rule system and it executes. The Calculator page evaluates every derived quantity above in a browser, with each module linked to the paper it derives from. The same closed-form expressions run on edge hardware and inside a language model's context as a derivation the model can follow step by step. An extension of the framework to a system the series has not addressed is admitted on one condition, stated in Computable Mechanics: it must be written as a chain from the pressure axiom, through the operator sequence — Tension → Surplus → Torsion → Slip → Acceleration → Maintained Motion — to a quantity the framework computes. Anything that does not end at a computed quantity is not a result of the framework.
The full catalog is on the Series page. The conceptual map is on the Framework page. Common questions are answered on the FAQ page.