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DOC AE-2026.III | EDITION 01
Authority&Architecture
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AE / III.II.I · THREE VOLUMES · 2026 · RECORD 01

The Authority Equation. Governing the Migration of Lethal
Decision-Making from Human to Machine

A three-volume work on the architecture, validation, and synthesis of human-machine authority under conditions of temporal compression, system confidence collapse, and escalation coupling.

Master Equation α = β · (C / τ) · e−γE
TIER 0 TIER 1 TIER 2 TIER 3 TIER 4 N S W E 000° 090° 180° 270° α = β · (C / τ) · e −γE FIG·01 HMAA · 5T
Title
The Authority Equation
Author
Burak Oktenli
Imprint
Authority & Architecture
Volumes
I · II · III
Edition
First · 2026
Distribution
A · Public Release
3
Volumes · One Framework
VOL. I · II · III
8,415
Simulation Runs
REF·AE-II / RESULTS
101
Operational Battle Reports
CENTCOM · JINSA · ISW
5
Tier Authority Spectrum
FIG·01 / HMAA
§ 01 / THE TRILOGY DOC AE-2026.I/II/III

Three volumes.
One framework.

The architecture, the test, the synthesis. The Authority Equation is published in three sequential volumes, theoretical, empirical, and discursive. Each is independently rigorous and collectively a single argument about how lethal authority must be governed when it migrates from human to machine.

FILE I · FOUNDATIONS
BURAK  OKTENLI THE AUTHORITY EQUATION VOLUME I α = β·(C/τ)·e −γE Governing the Migration of Lethal Decision-Making from Human to Machine THEORETICAL ARCHITECTURE Human-Machine Authority Architecture
VOL. I § Theoretical

Foundations The architecture, before the test.

Volume I formalizes the master equation, derives the Authority Migration Function, establishes boundary conditions and exponential damping properties, and introduces the Five-Tier Human-Machine Authority Spectrum.

ISBN 979-8-9958757-0-3 Print · Ebook
FILE II · EMPIRICAL
BURAK  OKTENLI THE AUTHORITY EQUATION VOLUME II α = β·(C/τ)·e −γE Governing the Migration of Lethal Decision-Making from Human to Machine EMPIRICAL VALIDATION Human-Machine Authority Architecture
VOL. II § Empirical

Governance & Results Where governance meets the kill chain.

The Vertical Alignment Principle, the Five-Layer Stack, Cross-Theatre Propagation, and the simulation architecture, tested event by event against the most complex multi-domain conflict of the algorithmic age.

ISBN 979-8-9958757-2-7 Print · Ebook
FILE III · SYNTHESIS
BURAK  OKTENLI THE AUTHORITY EQUATION VOLUME III α = β·(C/τ)·e −γE Governing the Migration of Lethal Decision-Making from Human to Machine DISCUSSION & SYNTHESIS Human-Machine Authority Architecture
VOL. III § Synthesis

Discussion & Synthesis The framework, after the test.

The HMAA emerges from validation as an adaptive meta-architecture. It redefines authority migration under temporal compression, confidence collapse, and escalation coupling beyond the cases the framework was originally written for.

ISBN 979-8-9958757-4-1 Print · Ebook
§ 02 / THE FRAMEWORK REF HMAA-001

An equation that makes lethal autonomy governable.

The Human-Machine Authority Architecture parameterizes the migration of lethal authority through three core variables and a governance ceiling anchored in international humanitarian law. The framework defines three variables, one equation, and five tiers of authority.

Master Equation · HMAA
α = β · (C / τ) · e−γE
Authority Migration Function
REF · AE-VOL-I § 3.2
τ
Temporal Compression
The collapse of decision time toward zero. As τ decreases, machine authority α rises. The kill chain compels migration from the human node when biological reaction time exceeds engagement windows.
C
System Confidence
Measured reliability of the autonomous decision stack. Authority scales linearly with C: as confidence falls, authority must regress to the human tier. Confidence collapse is itself a governance event.
E
Escalation Coupling
The damping coefficient e−γE exponentially restricts machine authority as engagements couple to strategic escalation. The higher the coupling, the closer authority returns to human command.
αcap
Governance Ceiling
The legally-anchored upper bound on machine authority, derived from international humanitarian law. The ceiling is enforced even when β·(C/τ)·e−γE would otherwise permit higher migration.

The Five-Tier Authority Spectrum.

Vertical Alignment Principle
TIER 0α ≈ 0
Human-Operated
Full human control. Machine acts only as a sensor or actuator extension. Decision authority rests entirely with the human operator.
TIER 1α < .25
Human-Decided
Machine recommends, human decides. Authority remains with the human; the machine optimizes presentation and reduces cognitive load.
TIER 2α ≈ .50
Human-Supervised
Machine acts within rule envelopes. Human supervises and may intervene. Authority is shared; reversion to human is preserved.
TIER 3α > .75
Machine-Authorized
Machine executes within pre-authorized rules of engagement. Human is on-the-loop. Reversion is delayed; oversight is post-hoc.
TIER 4α → αcap
Machine-Autonomous
Machine acts under engagement compulsion. Authority is at the governance ceiling. Human reversion is structural, not interactional.
§ 03 / VALIDATION CASE AE-II / RESULTS

The framework survived the test.
What it revealed transformed it.

Volume II tests the Human-Machine Authority Architecture against Operation Epic Fury, the most complex multi-domain conflict of the algorithmic age, across four conflict archetypes simultaneously.

CASE FILE · AE-VOL-II PRIMARY-SOURCED

Operation Epic Fury.

Eight thousand four hundred and fifteen simulation runs. One hundred and one operational battle reports. Primary-source documentation walked event by event against the master equation and the five-tier spectrum.

The framework survived the test, but only after extending from three core variables to a family of new governance concepts that Volume III's discussion makes explicit. The HMAA emerges as an adaptive meta-architecture, not merely a governance scheme.

Sources: CENTCOM · JINSA · ISW
Conflict Archetypes · Tested Simultaneously
01
Counterterrorism
Discrete-target authority migration under positive identification constraints.
02
Gray-Zone Operations
Sub-threshold engagement under attribution ambiguity and escalation coupling.
03
Asymmetric Conflict
Defensive authority compression against missile and drone arsenals at saturation.
04
High-End Engagement
Peer-conflict envelopes including autonomous swarm warfare and contested kill chains.
§ 04 / THE AUTHOR FILE AE-PR/01

Burak Oktenli.

Independent AI governance researcher. Founder of the AUTHREX research program, comprising seven governance architectures spanning defense, maritime, infrastructure, and automotive domains.

Burak Oktenli is the architect of the Human-Machine Authority Architecture and the principal author of the three-volume Authority Equation. His work formalizes the conditions under which lethal decision authority must transition between human and machine, and the governance machinery required to keep that transition lawful, auditable, and reversible.

The AUTHREX program comprises seven governance architectures: SATA, HMAA, CARA, MAIVA, FLAME, ADARA, and ERAM. Each addresses a distinct failure mode in autonomous systems governance, including authority migration, integrity verification, deception resistance, latency-coupled escalation, and adversarial deception under temporal compression.

“The framework survived the test. What it revealed transformed the framework itself.”

The research is validated across six cross-domain prototype platforms spanning defense, automotive, maritime, and critical infrastructure. The body of work is published across twenty-four open-access deposits on Zenodo and SSRN, supported by four U.S. provisional patents and verifiable through ORCID 0009-0001-8573-1667.

Research Portfolio

Patent filings and prototype platforms.

Verifiable through USPTO Patent Center, Zenodo, and ORCID. Patent applications are provisional and awaiting USPTO examination.

HMAA
63/999,105
Filed Mar 7, 2026
USPTO Patent Center
CARA
64/000,170
Filed Mar 9, 2026
USPTO Patent Center
SATA
64/002,453
Filed Mar 11, 2026
USPTO Patent Center
FLAME
64/005,607
Filed Mar 14, 2026
USPTO Patent Center
Defense / MobilityAuthority-Governed Rover Testbed
37 components
TLA+ verified · 48,751 states · 350 simulation runs
Defense / AerialHMAA-UAV Platform
52 components
250 simulation runs · Monte Carlo campaign
Defense / Directed EnergyBLADE-EDGE
72 components
MIL-STD-810G · dual Jetson AGX Orin + Zynq UltraScale+ FPGA
AutomotiveBLADE-AV
62 components
ISO 26262 ASIL-D · SAE J3016 L4 · 1,200 runs · zero unsafe actions
MaritimeBLADE-MARITIME
84 components
IP68 · MIL-STD-810G · hydroacoustic + MAD sensor fusion
Critical InfrastructureBLADE-INFRA
92 components
NERC CIP · FIPS 140-2 · SIL 3 · ICS / SCADA governance
Independent Recognition

Third-party citations and unsolicited references.

Academic Citation · April 2026
University of Toronto, Faculty of Law
LexAI Journal cited the ERAM framework as Reference #4 in The Ethics of AI in U.S. Warfare, examining decision compression in AI-enabled military command and control.
Platform Feature · 2026
SSRN / Elsevier Community
Official SSRN Community page selected the submarine surface signatures paper for feature, amplifying it to SSRN's global research audience.
Defense Logistics Paper · 2025
Multi-country Strategic Reference
Strategic paper addressed to Ministries of Defense cited Oktenli's strategic-asset analysis alongside DoD, DLA, U.S. Army DEVCOM, and USDA primary sources.
Professional Community · January 2026
Wargaming Weekly
Defense and military simulation community shared Oktenli's analysis of AI-driven simulation in U.S. defense testing.
Authority
& Architecture
Imprint of Record · Established 2026
§ 05 / THE IMPRINT

Authority & Architecture is the publishing imprint dedicated to the formal governance of autonomous systems: the books, monographs, and technical records that define how lethal authority is parameterized, migrated, and bounded.

Our publications target the readership that operates at the intersection of policy and engineering: defense planners, doctrine writers, AI governance researchers, acquisitions program offices, and the legal infrastructure that bounds them. Our standard is institutional. The rigor of a defense research center, the clarity of a technical manual.

All titles distributed via the IngramSpark global network. Print and ebook formats. ISBNs registered through Bowker.

§ 06 / ACQUIRE

Three volumes.
Available 2026.

The Authority Equation is published in three volumes through Authority & Architecture, distributed via IngramSpark to global trade and institutional channels. Print and ebook editions; institutional and library inquiries welcome.