Mechanism
Each independent mesh-derived coordinate system is defined by a coordinate-frame specifier that fixes the frame type, origin, orientation, scale, and temporal association of the coordinate system. The coordinate-frame federation mechanism aligns two or more such independent systems into a shared, governance-chain-preserving reference, treating each alignment as a governed observation rather than a bare numerical operator. An alignment between two frames is admitted under the composite admissibility evaluator of Chapter 4 and recorded as a federation event in the coordinate-lineage record, so that the alignment itself carries the governance chain of the authorities whose frames it joins.
When a coordinate-bearing observation crosses a boundary, the federation mechanism aligns the source frame to the destination frame and appends a federation event to the position's coordinate-lineage record. The destination consumer admits the position only when the conjunction of its credentials satisfies the consumer's admissibility evaluation: the spec supports multi-authority admissibility with cross-jurisdictional co-existence on a single physical location, so a consumer that does not recognize a contributing authority may decline the position under its own admissibility policy. Because positions are produced through authority-filtered and privacy-tier-filtered coordinate emission, the same underlying frame can present differently to consumers operating under different authorities.
Independent coordinate systems compose through federation rather than through a single canonical frame. The mesh-derived coordinate primitive admits coordinate frames selected from geographic coordinates, mesh-derived coordinates, and local-frame coordinates, and the federation mechanism aligns frames of these types across independently maintained systems. A position produced in one system can therefore be admitted by a consumer operating in another whenever the federation event linking the two frames is admissible under the consumer's governance policy and the contributing authorities are recognized.
Federation is governance-chain-preserving across independently maintained systems: the spec distinguishes the primitive from prior positioning architectures on the ground that prior systems do not support coordinate-frame federation across independently-maintained systems, whereas the present primitive produces governance-chain-preserving federation. Where more than one alignment between the same pair of frames is admissible, the consumer's admissibility policy governs which contributing authorities and credentials it will accept; the spec describes this evaluation qualitatively, through governance-policy-defined admission, rather than through any fixed numerical cost.
Each federation event is itself a governed observation carrying lineage. Because the coordinate-lineage recorder records each range observation, localization event, frame definition, uncertainty update, ambiguity resolution, rejection event, federation event, and consumption event in the governance-chain lineage field, a consumer can reconstruct the full derivation history of a position from the credentials carried with the position itself. This deterministic reconstruction of a position's derivation chain is what the spec offers in place of trusting an opaque numerical result, and it is what allows forensic review following a disputed alignment or a contested authority.
Operating Parameters
Each coordinate-frame specifier fixes the temporal association of the coordinate system in addition to its frame type, origin, orientation, and scale, so a federation event aligns frames with respect to their declared temporal association rather than across an unbounded interval. A precision-and-uncertainty propagator propagates ranging precision and ranging covariance through the localization chain, producing per-position uncertainty estimates that travel with the position; the spec describes precision qualitatively, as bounded by ranging-modality accuracy and reference-node density, and states no fixed accuracy figure or drift rate.
Admissibility is evaluated under the composite admissibility evaluator of Chapter 4 against the consumer's governance policy, which determines which contributing authorities and credentials it will recognize. The spec contemplates aviation, maritime, and coalition contexts and supports multi-authority admissibility with cross-jurisdictional co-existence on a single physical location, but it expresses the admission criteria as governance-policy parameters rather than as fixed numerical tolerances or named regulatory signatories.
Credential governance includes revocation: an inadmissible or withdrawn credential is rejected under the same admissibility evaluation, and the rejection is recorded as a rejection event in the coordinate-lineage record. Where authority over a frame changes, the change is carried through the governance chain as the federation and admissibility evaluation are re-applied under the consumer's then-current governance policy, so that the consumer admits a federated position only when its contributing authorities remain recognized.
Alternative Embodiments
The credential attestation is produced under a digital-signature algorithm, a threshold-signature algorithm, a zero-knowledge attestation, a post-quantum attestation, or any equivalent cryptographic mechanism, and the spec contemplates substitution of specific cryptographic primitives with equivalent post-quantum primitives, which may be lattice-based, hash-based, or isogeny-based, without altering the governance-chain properties. The mechanism is therefore signature-algorithm agnostic, and a quantum-governance secure element may provide post-quantum primitives for long-term attestations.
The federation and its admissibility evaluation may be performed by the producing agent, by the consuming agent, or by another governance-credentialed party, depending on the deployment's trust model. Producer-side evaluation embeds the federation event and lineage in the emitted observation; consumer-side evaluation lets the consumer apply its own governance policy to the contributing credentials before admitting the position.
Because the spec supports multi-authority admissibility with cross-jurisdictional co-existence on a single physical location, embodiments addressing contested boundaries allow a position to carry credentials from more than one contributing authority, leaving the consumer to admit or decline under its own governance policy. The spec describes aviation, maritime, and coalition deployments as contexts for this multi-authority co-existence, not as cases governed by any single named supranational authority overriding others.
Composition
Cross-jurisdictional alignment is the coordinate-frame federation mechanism of the mesh-derived coordinate primitive, which aligns two or more independent mesh-derived coordinate systems. Federation provides the alignment between independently maintained frames; the governance chain provides the semantics by which a federated observation carries authority across the alignment. Without governance-credentialed federation, an aligned position would be numerically continuous but governance-ambiguous; without coordinate-bearing observations to align, federation would have nothing to credential.
The mechanism composes with the cooperative localization engine that determines agent positions through multilateration from admitted range observations and anchor positions, with the anchor-observation admission interface that admits governance-credentialed anchor contributions, and with the coordinate-lineage recorder that records each federation event. Each composed element contributes a governed observation, and the resulting position is admitted only when the conjunction of credentials satisfies the consumer's admissibility evaluation under the composite admissibility evaluator of Chapter 4.
Federation composes with the governed mesh of Chapter 2, through which coordinate-bearing observations propagate, and with authority-filtered and privacy-tier-filtered coordinate emission per Chapter 9 and Chapter 10, by which a consumer receives only the coordinate emissions its authority and privacy tier permit. A governance authority can thereby constrain which federated positions it will admit through its governance policy, applied at admission, without operating its own positioning infrastructure, because the spec produces coordinate bearings from cooperating mesh agents rather than from a central positioning authority.
Prior-Art Distinction
The spec distinguishes the mesh-derived coordinate primitive from prior positioning architectures on structural grounds. Prior satellite-navigation systems operate on broadcast signals from centrally operated constellations whose denial precludes positioning, whereas the present primitive produces coordinate bearings from cooperating mesh agents without dependence on a central positioning authority. Prior differential-positioning and assisted-positioning systems operate on reference-station networks maintained by positioning-service operators, whereas the present primitive self-organizes through mesh agents without dependence on such an operator. Prior systems using static identifiers are vulnerable to identifier spoofing, whereas the present primitive authenticates each range observation through governance-chain continuity identity with admissibility evaluation.
Most relevant to cross-jurisdictional alignment, the spec states that prior systems do not support coordinate-frame federation across independently maintained systems, whereas the present primitive produces governance-chain-preserving federation, and that prior systems do not support governance-chain-preserving lineage for coordinate determinations, whereas the present primitive produces deterministic reconstruction of each position's derivation chain. The disclosed mechanism is distinguished by aligning independently maintained coordinate systems as governed observations whose admission turns on the consumer's recognition of the contributing authorities, evaluated under the composite admissibility evaluator, rather than on numerical continuity alone.
Disclosure Scope
This disclosure draws from U.S. Provisional Application No. 64/049,409. It covers cross-jurisdictional coordinate alignment as the coordinate-frame federation mechanism of the mesh-derived coordinate primitive, including the coordinate-frame specifier defining frame type, origin, orientation, scale, and temporal association, the federation mechanism aligning two or more independent mesh-derived coordinate systems, the admissibility evaluation under the composite admissibility evaluator, and the coordinate-lineage recording of federation, admission, and rejection events. The disclosure extends to embodiments using alternate cryptographic attestations, including post-quantum primitives, and to producer-side, consumer-side, and intermediary evaluation of admissibility, and to multi-authority co-existence on a single physical location across aviation, maritime, and coalition contexts. The mechanism is claimed both as an apparatus, the mesh-derived coordinate primitive and its federation mechanism, and as a method, the cooperative localization and governance-credentialed federation and admissibility procedure. Equivalents within the disclosure include substitution of cryptographic primitives with equivalent post-quantum primitives, provided the underlying authority structure and governance-chain semantics are preserved across the equivalent form.