Abstract
A complementarity-first program begins with typed relational opposition rather than with a preselected spacetime, Hilbert space, probability law, or action. That starting point is generative but underdetermined: a carrier, rank law, real form, orientation, transport, composition, variation space, probability semantics, scale, and history rule must still be supplied or derived. This paper assembles the finite/local Unified Dynamics program from a source-controlled finite corpus. A real doubled carrier with cross-pairing, grading, positive exchange, and paired transport gives distinct positive and symplectic descendants. Its broad form fails to produce a gravitational incidence/coframe entrance, motivating a parent-neutral rank-two Jordan/spin-factor enrichment. On the selected carrier, one conditional reduction yields Lorentzian null incidence, affine coframes, independent Lorentz transport, curvature and torsion, simple bivectors, and a compatible spatial-parity representation, while complement-operation coherence O31 remains open; composition with the companion gravity theorem chain reaches an exact flat Palatini–Regge response and a two-polarization lattice endpoint. A second conditional reduction yields the local qubit spin factor, compact reversible transport, nonlocally silent global directions, and a trace-evaluation coordinate. The trace rule is not forced by kinematics alone: an explicit non-Born family survives until mixture affinity or independent-product factorization with continuity is added. The finite sources establish specific non-implications among causal orientation, relational ordering, thermodynamic monotonicity, and record formation; they do not establish unrestricted pairwise independence. Calibrated persistent records can reconstruct finite Lorentz geometry without exhausting spinorial structure. A common BF-type pairing–curvature kernel supports both gravity and compact relational sectors, but the required variation spaces differ; this is the controlling obstruction to completed dynamical unification. The Quantum-Bridge program closes several minimal/encoded-carrier quantum gaps, while preserving hidden-carrier and elementary-type residuals. On the gravity side, a failed broad transfer is retained, then refined into source-local H2/H2R and symmetry-protected zero-germ branches with distinct mechanisms and evidence tiers. Finally, theorem C210A-GT1 proves a conditional triangulation-general local curved-Regge identity for every closed occurrence satisfying H1–H6, with 1,818 authenticated historical admissions on three fixtures. The strongest result is a finite/local dual-reduction architecture with exact bridges, negative results, and explicit selectors. It is not a completed, continuum, arbitrary-mesh, predictive, or scale-fixing unification.
A shared grammar, not a completed language
The same action direction hosts both branches — but only because the branches use different admissible configuration and variation spaces. The common kernel does not explain why nature should choose one variation space in the gravity regime and the other in the quantum-relational regime. The paper calls this the variation-space selector obstruction.
Maturity is assigned conservatively:
| unification level | status |
|---|---|
| structural | closed at finite and local scope only |
| reduction | partial |
| dynamical | partial but advanced |
| predictive | on hold |
The architecture does not yet derive an absolute length or duration, Newton’s constant, the cosmological constant, particle masses, or a parameter-free experimental prediction.
Where it sits in the release
CUD-U1 is the downstream synthesis: all eight preceding technical papers are synthesis inputs. It does not replace them — each claim remains owned by the paper that establishes it.
Download paper (Zenodo) — 26 pages. CC-BY-4.0.