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HolonomiX

Every industry pays for the representation it chooses

Representing a workload densely can require materializing and moving the full state. The applications below show where a different representation changes the cost of useful work.

Choosing a representation for each workload

Section A-A · the workload cut
Dense field every value materialized
χ
Measure rank · smoothness · self-similarity
Fold QTT where the measurement says fold
Execute compute on the pieces
Memory movement Footprint
Consequence less to move · less to build
Signed run artifact Supported workflows preserve evidence of what ran and what it produced, with product-specific signing and verification.

Engineered physical systems

Hypersonics, propulsion and thermal systems, plasma and kinetic devices, nuclear and regulated aerospace. Coupled disciplines, expensive physics, and design campaigns where many high-value quantities are infeasible to represent densely.

The engine builds representation-aware response surfaces across topology changes and tested validity regions, propagates uncertainty natively, and records each result's validity decision under an explicit policy. HX-MDAO-TP distinguishes VALIDATED, NOT_VALIDATED and ABSTAIN; model-domain failure or an unconverged solve produces NO_RESULT. Signed evidence retains the decision and supporting policy.

  Proof record Gate-verified acceptance suite on CPU and NVIDIA A100. Kernel-checked Lean4 certificate. Signed, third-party-reproducible provenance manifest.
Fidelity boundaryTested validity regions. Results are stamped in or out of domain; the stamp is signed.
StructureCoupled disciplines; smooth, smoothly multiscale, high-dimensional fields.
RepresentationFidelity-governed QTT. Dense and sparse retained where measured better; every conversion counted.
HX surfaceHX-MDAO-TP
Statusv1.0. Delivered direct, including government channels.

AI infrastructure

Two workloads, one buildout. Thermal-fluid simulation of AI factories and high-density datacenters, so cooling strategy, layout changes, and failure scenarios are evaluated before capital commits. And the inference data plane as one signed runtime on GPU infrastructure the customer already operates.

  Proof record Evidence artifacts per simulation run. Data-plane validation on real embedding corpora; the bound claim record is pending publication.
Fidelity boundaryDecision-QoI mode by default; High-Fidelity Velocity mode for diagnostic, audit, and research use.
StructurePhysical fields with scale structure; embedding corpora whose structure is measured at ingest.
RepresentationQTT-native heat-MPO execution for the twin under its qualified exclusive H100 80 GB profile, with a separate Developer Edition reference solver. The data plane selects representation by workload, including latent-factor plus SQ8 where QTT does not pay.
HX surfaceHX-AIFactoryTwin  ·  HX-SDP
StatusHX-AIFactoryTwin and HX-SDP: Private Appliance or scoped pilot. HX-AIFactoryTwin prioritized next for cloud delivery.

High-consequence records

Compliance evidence, discovery productions, cyber incident artifacts, public-sector case files, financial model outputs, healthcare documentation and utility inspection records may be challenged after creation. HX-Provenance binds each registered artifact to an ML-DSA-signed receipt with tamper-evident integrity records. Reviewers can verify the exported bundle offline with the matching verifier and independently established expected issuer key.

Fidelity boundary Integrity within a stated boundary. Verification proves the artifact matches its signed receipt; semantic correctness stays outside it.
HX surface · Status HX-Provenance. Live on Google Cloud Marketplace since July 1, 2026. Also live on AWS Marketplace.
  Proof record Offline verifier. Receipts and bundles verify without calling HolonomiX and without the issuing appliance online.

Agent-evaluation incident evidence

HX-AEIR validates and preserves the supplied evidence used to reconstruct an agent-evaluation incident. Its required inputs include signed authorization and preflight documents, with consistent links between the source evidence, incident record and any prior revision.

HX-Provenance supplies receipts and evidence bundles for registered artifacts across applications. HX-AEIR applies a specific incident-evidence contract, checking document syntax, cross-document semantics and authorization linkage before signing and exporting a reviewer package.

The private appliance runs in the customer's Google Cloud project. Reviewers verify an exported package with the matching tooling and independently pinned issuer key. The package preserves the supplied record; it does not establish that telemetry is complete or that an incident conclusion is correct. HX-AEIR does not execute, monitor or contain evaluated agents.

Cryptographic transition

Private Appliance · Scoped Pilot HX-PQC-Encryption Lifecycle Platform

Cryptography is distributed across code, libraries, TLS endpoints, certificates, keys, databases, and vendor products, and most estates have no authoritative inventory of what is quantum-vulnerable. The transition runs Discover to Quote to Migrate to Protect to Assure, each stage emitting signed artifacts: CycloneDX CBOM, deterministic signed quotes, ledgered migration events, posture snapshots.

OMB M-26-15 requires covered federal agencies to submit a PQC Migration Plan to OMB and ONCD within 120 days of June 24, 2026, identifying cryptographic-inventory methods and automated tools. National security systems are excluded.

  Proof record Free discovery before any mutation. Signed scan-to-quote artifacts; rollback-aware, ledgered migration proof; posture snapshots that verify offline.

Workload comparisons

HX-MDAO-TP

Smooth, coupled, high-dimensional physics. The structure measurement says fold: fidelity-governed QTT, with dense and sparse retained where they measure better.

HX-SDP

Pooled final-output embeddings where folding does not pay. The same measurement says do not force it: structure-governed latent-factor plus SQ8 instead.

The pair is the point. The substrate measures the structure and chooses the representation; it does not force one answer onto every workload. Their difference is the doctrine, demonstrated.

HX-ProvenanceSigned receipts and offline-verifiable evidence for registered artifactsDeployed · Google Cloud + AWS
HX-AEIRAuthorization-linked incident evidence with cross-document checks and signed reviewer packagesPrivate Appliance · Scoped Pilot
HX-PQC-Encryption Lifecycle PlatformCryptographic inventory to migration to runtime protection to assurancePrivate Appliance · Scoped Pilot
HX-AIFactoryTwinGPU-native thermal-fluid simulation with signed evidence per runPrivate Appliance · Scoped Pilot
HX-MDAO-TPMultidisciplinary design and optimization with a trust and provenance planeScoped Pilot
HX-SDPThe AI inference data plane as one signed platformPrivate Appliance

Federal is a mission environment

Every workload above operates inside it: design campaigns, AI infrastructure, records, and the cryptographic transition. What changes is the boundary, the procurement path, and the authorization state.

Deployment boundary Customer-controlled environments and on-prem deployment. Entry into authorized environments depends on the authorized hosting and system boundary and mission-owner authorization.
Procurement Marketplace listings and private offers. Direct delivery, including government channels. Defense primes and integrators.
Authorization states Veteran-owned small business. VOSB + SDVOSB SBA-Certified. Offline verification of HX-Provenance evidence is supportable today; broader disconnected operation is scoped per product.