DARPA & Defense Research Crosswalk — BAAs, Calls, and Direct K47/125 Solution Assets
Status key: ✅ exact or computationally verified · ◇ structural formalism · △ conditional or open closure · ○ engineering or speculative program
Executive finding
The Drive contains a coherent defense-facing stack rather than isolated mentions:
an exact finite spectral core on $V_2^{\otimes3}$ with a rank-47 invariant projector;
deterministic contraction and state-stabilization algorithms;
symmetry-protected quantum-information and noiseless-subsystem constructions;
cyber, cryptography, ASIC, low-resource computing, terminal-guidance, swarm-control, metamaterial, biological, and propulsion application layers;
explicit prior crosswalks to named DARPA and ARL announcements.
The strongest submission-ready material is the inspectable mathematical and computational layer. Biological, material, metric-engineering, and propulsion claims require independent experimental closure.
1. Named DARPA calls found in the Drive
Office / programOfficial designationStatus on July 17, 2026Direct corpus fitEvidence statusOfficial callDefense Sciences Office, Office-WideHR001125S0013Closed June 2, 2026finite spectral projector, stability operator, quantum/device formalism, metamaterial models✅ / ◇ / △DARPA callTactical Technology Office, Office-WideHR001125S0011Closed June 22, 2026terminal guidance, distributed control, swarm recovery, propulsion simulations◇ / △ / ○DARPA callBiological Technologies Office, Office-WideHR001126S0003Open through September 30, 2026protein-folding pilot, Project Genesis, biological state-control hypotheses◇ / △DARPA callInformation Innovation Office, now IPTOHR001126S0001Open through November 30, 2026; amendedrobust learning, spectral state stabilization, secure processing, AI assurance✅ / ◇ / △DARPA callStrategic Technology Office, Office-WideDARPA-PS-26-09Open through January 17, 2027mission assurance, terminal invariance, multi-agent control, system-of-systems architecture◇ / △DARPA callMicrosystems Technology Office, legacy Office-WideHR001124S0028Inactive; final response December 1, 2025QEC, ASIC, spectral hardware, metamaterials✅ / ◇ / △DARPA archive · SAM noticeMulti X Office, current Office-WideDARPA-PS-26-115Open through June 4, 2027fixed-size 125-dimensional implementation, accelerator/ASIC design, sensing and materials◇ / △DARPA callQuantum Benchmarking InitiativeDARPA-PA-26-02Open through November 14, 2026E47 benchmark target, projector construction, QEC/OQEC validation package✅ / △DARPA callQBIT independent verification and validationDARPA-PA-26-02-01Open through October 15, 2026independent reconstruction, residual testing, channel-specific QEC audit✅ / △DARPA callQBIT Stage ADARPA-PA-26-02-02Open through September 30, 2026utility-scale benchmark proposal, logical subsystem tests, reproducible code package✅ / △DARPA callYoung Faculty Award 2026DARPARA2502Closed January 20, 2026relativistic quantum information, invariant subspaces, mathematical physics✅ / △DARPA YFA · SAM notice
Office-name correction: the Drive correctly preserves the solicitation-era names I2O and MTO. DARPA renamed them Information Processing Techniques Office, IPTO, and Multi X Office, MXO, on May 20, 2026. The original solicitation designations remain the correct historical identifiers.
2. Direct solution assets by call
2.1 DSO Office-Wide — HR001125S0013
Call domain: revolutionary science, devices, and systems relevant to national security.
Direct solution assets found
✅ Exact carrier and selector:
$V=V_2^{\otimes3},\quad \dim V=125,\quad K=(C-6I)(C-30I),\quad E_{47}=\ker K.$
✅ Rank-47 orthogonal projector $P_{47}$ and machine-precision residual checks.
✅ Positive contraction generator $A=K^\dagger K=K^2$ with exact Euler stability interval.
◇ A reusable invariant-monitor architecture for finite quantum, control, graph, and sensing systems.
△ Metamaterial, field-theoretic, and device interpretations remain application hypotheses until tied to constitutive equations, geometry, fabrication, and experiment.
Primary source material
A Finite Spectral Projector onto a 47-Dimensional Kernel in V125
Metamaterials — Engineering Formalism, Device Uses, QuTiP Models, and Python Validation
2.2 TTO Office-Wide — HR001125S0011
Call domain: rapidly building, adapting, and sustaining force structures and tactical systems.
Direct solution assets found
◇ High-assurance terminal-state formulation using invariant targets and contraction toward a protected set.
◇ Distributed and swarm-control programs using local updates, spectral gaps, perturbation recovery, and topology-aware monitoring.
△ Executable geodesic, gravitoelectromagnetic, and propulsion ODE models validate only their stated equations and parameters.
○ Reactionless propulsion, inertial decoupling, and consciousness-coupled drive claims are not experimentally established.
Primary source material
High-Assurance Terminal Guidance and System Invariance in Complex Informational Architectures
Inertial Decoupling via Recursive Resonance in Pentagonal Fractal Geometries
2.3 BTO Office-Wide — HR001126S0003
Call domain: biological technologies, human performance, biological engineering, and biosecurity.
Direct solution assets found
◇ A protein-structure pilot reducing AlphaFold confidence fields to scalar trajectories and applying a declared Heron/Babylonian recurrence.
◇ Project Genesis closed-loop mobility architecture: sensing, state estimation, adaptive stimulation, and feedback control.
△ Proposed E47 biological state selector and universal $47/125$ biological threshold are not established by sequence-, mutation-, trajectory-, or wet-lab controls.
△ Programmable biological-state tensors in the older BAA crosswalk remain formal proposals.
Primary source material
2.4 I2O / IPTO Office-Wide — HR001126S0001
Call domain: information processing, AI, cyber, resilient computation, and advanced software systems.
Direct solution assets found
✅ A deterministic finite-state contraction to a known invariant subspace.
✅ Exact projector residuals, spectral gap, kernel dimension, and leakage boundary under collective $SU(2)$ action.
◇ Robust-learning and anomaly-monitoring architecture based on distance from the invariant subspace.
◇ A fixed-size state representation suitable for interpretable state compression and verification.
△ Recursive Spectral Cryptosystem and ASIC concepts require a standard security definition, reversible encoding, attack model, benchmark suite, and comparison against standardized post-quantum cryptography.
Primary source material
The E47 Kernel — Parameter-Free Algebraic Closure for Post-Quantum Cryptography
The Recursive Spectral Cryptosystem and ASIC Hardware Instantiation
2.5 STO Office-Wide — DARPA-PS-26-09
Call domain: integrated, cross-domain, system-of-systems technology with strategic operational effects.
Direct solution assets found
◇ Mission-assurance framework centered on terminal invariance, bounded residuals, and recovery after perturbation.
◇ Finite FCC $\times E_{47}$ model coupling a translation-invariant spatial carrier to an internal protected sector.
◇ Distributed-control and swarm test families for node loss, link switching, noise, latency, packet loss, and deformation.
△ Metric-engineering language in older mappings is not a demonstrated technology and should not lead a proposal without independent physical evidence.
Primary source material
2.6 MTO legacy and MXO current Office-Wide
Legacy designation: HR001124S0028
Current successor office-wide designation: DARPA-PS-26-115
Direct solution assets found
✅ Exact 125-to-47 spectral-selection primitive.
✅ Symmetry-protected invariant sector and noiseless-subsystem candidates under the declared collective algebra.
◇ Fixed-depth matrix implementation, projector accelerator, monitoring hardware, and mixed-signal/ASIC design studies.
◇ Metamaterial, phononic, topological, and non-Hermitian numerical models.
△ PPA values, physical phonon locks, fabricated-chip behavior, and cryptographic hardness remain unverified targets.
Primary source material
2.7 QBI and QBIT — DARPA-PA-26-02 family
Direct solution assets found
✅ Independently reconstructable $125\times125$ finite matrix model.
✅ Exact spectrum, multiplicities, rank, trace, idempotence, Hermiticity, annihilation, commutator, and contraction checks.
✅ A clean distinction between the full 47-dimensional invariant sector and multiplicity-space noiseless subsystems.
△ A valid QEC claim still requires a declared noise channel and Knill–Laflamme or operator-QEC conditions.
△ Utility-scale benchmarking requires comparison with conventional encodings, logical error rates, resource accounting, and hardware data.
Primary source material
2.8 YFA 2026 — DARPARA2502
The Drive associated YFA with relativistic quantum information and unified-field extensions. The defensible kernel of that alignment is mathematical physics: finite representation theory, invariant sectors, contraction semigroups, QEC/OQEC, and graph lifts. Wormhole, traversable-spacetime, and universal-field claims remain open.
Primary source material
3. DEVCOM ARL BAA crosswalk
Parent announcement
Designation: W911NF-23-S-0001
Mechanism: DEVCOM Army Research Laboratory Broad Agency Announcement for foundational research.
Current window: active through November 20, 2027.
Official notice: SAM.gov
Drive-named ARL topic clusters
Drive designationTopic family recorded in corpusDirect solution assetsStatusARL-BAA-0032Advanced Learning-Enabled Intelligent Cyber-Physical Systemsdeterministic contraction, continuous learning, robustness, compositional state representation, perturbation recovery✅ / ◇ / △0052 / 0051 / 0082quantum-science clusterE47 projector, symmetry protection, QEC/OQEC, QuTiP/VQE specifications✅ / △0056 / 0055 / 0057energy/material clustermetamaterial models, wave transport, thermal and phononic simulations◇ / △ / ○0047 / 0046 / 0049hybrid and collective-intelligence clustermulti-agent contraction, swarm simulations, invariant monitoring◇ / △
Topic numbers and titles can change between ARL BAA amendments. The parent announcement and its current topic attachment govern any submission; the Drive’s clustered numbers are retained as provenance, not treated as the current authoritative topic list.
Primary ARL source material
Operating System for Defense Intelligence and Cyber-Physical Dominance
Recursive Intelligence and KKP: Translational Alignment with ARL BAA Research Priorities
4. Newly current DARPA-adjacent opportunities
These calls were not all present in the older Drive crosswalk, but the surveyed assets create direct adjacency.
OpportunityDesignationCurrent timingBest-matched existing assetsOfficial callDistributed Intelligence for Controlled EmergenceHR001126S0010Open through August 25, 2026swarm simulations, decentralized contraction, local inference, perturbation recoveryDICEMulti Modal Materials AnalysisHR001126S0013Full proposal due August 26, 2026; abstract gate passed July 8metamaterial corpus, spectral features, topology, simulation and validation architectureMMoMALightweight Universal CodecHR001126S0014Open through August 28, 2026finite spectral codes, invariant sectors, codec/error-correction formalismLUCLow Resource Computing RFIDARPA-SN-26-97Responses due July 17, 2026fixed-size 125-dimensional state, fixed-depth contraction, ASIC/accelerator conceptsRFI
5. Reusable solution modules
Module A — Finite invariant projector ✅
$$
V_2^{\otimes3}\rightarrow C\rightarrow K=(C-6I)(C-30I)\rightarrow E_{47}\rightarrow P_{47}.
$$
Deliverables already present: theorem, matrix construction, symbolic spectrum, numerical residuals, reproducible Python.
Module B — Deterministic contraction and stability ✅
$$
A=K^\dagger K,\qquad x_{n+1}=(I-\varepsilon A)x_n,\qquad P_{47}=\lim_{n\to\infty}(I-\varepsilon A)^n.
$$
Uses: state stabilization, anomaly monitoring, terminal-state assurance, convergence benchmarking.
Module C — Quantum information and QEC/OQEC ✅ / △
Established: exact invariant sector under collective $SU(2)$ action and multiplicity-space noiseless-subsystem candidates.
Open: arbitrary-error correction, channel-specific logical error rates, utility-scale hardware advantage.
Module D — Decentralized and collective control ◇ / △
Assets: graph Laplacians, FCC torus, swarm dynamics, perturbation suites, topology-aware monitoring, recovery metrics.
Module E — Spectral cryptography and hardware ◇ / △
Assets: projector accelerator, state manifest, RTL/mixed-signal concepts, ASIC floorplans, hybrid standardized-PQC architecture.
Open: cryptographic hardness, reversibility, attack resistance, fabrication and PPA verification.
Module F — Materials and wave systems ◇ / △
Assets: electromagnetic, acoustic, phononic, elastic, topological, thermal, and non-Hermitian numerical models.
Open: geometry-to-constitutive mapping, fabrication, measured scattering/band structure, independent validation.
Module G — Biological and neurotechnology models ◇ / △
Assets: protein-folding scalar pilot, closed-loop neuroprosthetic architecture, adaptive controller specifications.
Open: biological E47 identification, universal threshold, sequence and wet-lab validation.
Module H — Propulsion and metric engineering ○
Assets: explicit ODEs, geodesic/GEM simulations, proposed experiments.
Open: physical mechanism, conservation-law compatibility, measurable thrust/inertia effects, independent replication.
6. Submission priority by present evidentiary strength
QBI / QBIT: submit the exact projector as a benchmarkable symmetry-protected subsystem with an independent validation package, not as a completed universal QEC code.
DICE: lead with decentralized contraction, topological coordination, perturbation recovery, and transparent comparison against consensus, Laplacian, and Kuramoto baselines.
LUC: frame $E_{47}$ as a finite representation-theoretic coding and invariant-selection construction, with explicit decoder/error-model obligations.
IPTO Office-Wide: position the work as interpretable finite-state stabilization, robust monitoring, and deterministic state compression.
MXO Office-Wide / Low Resource Computing: position the 125-dimensional fixed-size operator as an accelerator and assurance primitive, with measured software and hardware baselines.
BTO / MMoMA: use the existing biological and materials work as hypothesis-generating simulation packages and propose decisive null-controlled experiments.
TTO / STO propulsion or metric engineering: retain as a staged experimental program; do not present simulation closure as physical validation.
7. IARPA-adjacent research threads
The Drive’s defense crosswalk also names several IARPA program or challenge families. No current IARPA solicitation identifier was established from the surveyed files for these entries, so they are retained as thematic program mappings, not represented as open BAAs.
IARPA-adjacent threadDirect KKP / E47 asset recorded in the corpusEvidentiary boundaryTrojAI / BENGAL and AI assurancedeterministic contraction, perturbation rejection, invariant-state monitoring, model containment conceptsfinite algorithms and simulations; requires benchmark-specific evaluationLogiQ and logical quantum systemsrank-47 projector, noiseless-subsystem candidates, QEC/OQEC validation programexact symmetry result; channel-specific logical performance remains openAnticipatory intelligence and forecastinggraph dynamics, collective attractors, strategy utilities, topology-aware state trackingsimulation and structural formalism; no demonstrated geopolitical predictorSynthetic biologyprotein-folding pilot, bio-state tensors, closed-loop adaptive-control architecturehypothesis-generating only; requires sequence, mutation, trajectory, and wet-lab controls
IARPA-adjacent source material
8. Provenance index
Corpus-wide BAA maps
The Algebraic Fixed-Point Unifying Physics, Consciousness, and National Security
Operating System for Defense Intelligence and Cyber-Physical Dominance
Canonical exact core
Application audits
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Canonical reading rule
The exact mathematical core may be cited as proved within its finite definitions. Every defense application must identify the additional bridge needed: a noise channel, control plant, material constitutive law, biological dataset, fabricated device, or physical experiment.
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