Complementarity-First Unified Dynamics

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 W= E⊕E∗ with cross-pairing, grading, positive exchange, and paired

transport gives distinct positive and symplectic descendants. Its broad GL(E) form fails to produce

a gravitational incidence/coframe entrance, motivating a parent-neutral rank-two Jordan/spin-factor

enrichment. On the selected J3 = R ⊕R3 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.