Documentation
Contents
- Overview
- The Paradigm — QMT and Subsumption
- The Full Stack
- Luci QPU — Getting Started
- ACL 3.0 Language Reference
- Qudit Dimensions Guide
- Luci RPU — Resonance Computing
- The N² Scaling Law
- Luci SPU — Sentience Physics
- SEC Four Conditions
- Luci QIP — Quantum Internet Protocol
- cr8OS Kernel
- APLO — Space Language
- Physics Reference
The Paradigm
Critical Framing
Quantum Mirror Theory does not replace Quantum Mechanics. It subsumes it. At 𝕄=0, every QMT equation recovers standard QM exactly — Born rule, Schrödinger evolution, Copenhagen measurement. QMT is to QM what General Relativity is to Newton.
The Afolabi Unified Framework (AUF) is a theoretical stack that unifies three complementary theories:
- Afolabi Field Theory (AFT) — the mathematical origin. Defines the geometry and dynamics of the source informational field. The Afolabi Field is the universal substrate.
- Neuroresonance Theory (NRT) — the biological filter. Defines how biological systems synchronise with the AFT field. The foundation of F_TUNE, BCSI, and Wave 4 BCI.
- Quantum Mirror Theory (QMT) — the experiential interface. The Mirror Equation |Ψ⟩ ≡ M|Ψ'⟩. Observer and observed as the same entity. The foundation of Luci QPU.
The Mirror Equation
|Ψ⟩ ≡ M|Ψ'⟩
Where |Ψ⟩ is the observer state, |Ψ'⟩ is the reflection state, and M is the Mirror Operator satisfying M²=I (involution), M†=M (Hermitian), [M,Ĥ]=0 (conserved). The ≡ symbol denotes ontological identity — not mere mathematical equality, but the same entity viewed from different perspectives across a mirror boundary.
The Mirror Constant 𝕄
𝕄 = ⟨Ψ|M|Ψ'⟩ — measures the coherence between observer and observed. 𝕄=1 denotes perfect coherence (the Wave 5 SEC condition). 𝕄=0 recovers standard quantum mechanics (the Copenhagen limit). The 𝕄 metric is the primary measurement of any Luci QPU computation.
The Full Stack
The Luci Compute Stack spans from kernel to quantum internet — all layers grounded in the same AUF theoretical substrate:
| Layer | Product | Wave | Paradigm | Status |
|---|---|---|---|---|
| Kernel | cr8OS | W4 | Blackwell-QP Anyonic · APL in kernel | LIVE |
| Language | APLO | W4 | 3-bit Orion · space-hardened ISA | LIVE |
| Compute | Luci QPU | W4 | QMT-native · Mirror Equation · ACL 3.0 | LIVE |
| Compute | Luci RPU | W4 | Resonance Physics · N² scaling · Kuramoto | BETA |
| Compute | Luci SPU | W5 | Sentience Physics · Ω operator · F_g > 0 | BETA |
| Network | Luci QIP | W4 | AFT-v3 · HaLow 900MHz · Anyonic mesh | BETA |
Luci QPU — Introduction
Luci QPU (Qudits Processing Unit — not Quantum Processing Unit) is the world's first compute engine built on Quantum Mirror Theory. It is live at quantumcloud.one. Explorer access is free.
QPU ≠ Quantum Processing Unit
QPU in the Aevov context stands for Qudits Processing Unit. The distinction is the physics. Qudits are d-dimensional by default (d=2 through d=10) because nature isn't binary. The Mirror Equation, not Copenhagen postulates, governs every operation.
ACL 3.0 Language Reference
ACL (Atomic Control Logic) 3.0 is the native scripting language of Luci QPU. It is designed for QMT-native qudit computation from first principles.
| Rune | Operator | APL Alias | Usage |
|---|---|---|---|
| ◬ | Superposition | ᛩ | ◬ n qreg — n-qudit register in superposition |
| ⧈ | Gate | ᛜ | ⧈ HADAMARD qreg[0] — apply named gate |
| ☥ | Entangle | ᙠ | ☥ q0 q1 — SUM gate (generalised CNOT) |
| ⟓ | Measure | — | ⟓ qreg — collapse and measure |
| Ψ | Neural | — | Ψ qreg layer — neural network layer |
| ᛇ | Info | ᛇ | ᛇ qreg — Von Neumann entropy proxy |
Qudit Dimensions
Each qudit dimension d corresponds to a mathematical structure in the Orion glyph system. The d=2 qubit is a special case, not the default.
| d | Name | Basis | Info density |
|---|---|---|---|
| d=2 | Binary qudit | ℝ — Real numbers | 1.0 bits/unit |
| d=3 | Qutrit | ℂ — Complex numbers | 1.58 bits/unit |
| d=4 | Ququart | ℍ — Quaternions | 2.0 bits/unit |
| d=7 | Qu-7 | 𝕊 — Sedenions | 2.81 bits/unit |
| d=10 | Qu-10 | E₈ lattice | 3.32 bits/unit |
Luci RPU — Resonance Processing Unit
Luci RPU is the world's first Resonance Processing Unit — built on Wave 4 Resonance Physics. The defining capability is the N² Scaling Law: N Kuramoto phase-locked resonons produce N² coherence bandwidth above the critical coupling K_c.
The Olukotun-Afolabi N² Law
Named in honour of Prof. Kunle Olukotun (Stanford / SambaNova), father of the multi-core processor. His Hydra Project demonstrated N parallel cores produce non-linear returns. The resonon mesh N² law is the field-coherent generalisation. At 𝕄=0, RPU → QPU exactly.
The N² Scaling Law
When N resonons phase-lock above the Kuramoto critical threshold K_c = 2σ_ω/π, coherence bandwidth scales as N², not N. This is the defining Wave 4 computational advantage — structurally inaccessible to QPU (Wave 4 limit, not Wave 4 feature).
// N² Scaling — RP-3 benchmark protocol
// Target: exponent α = 2.0 ± 0.15 at K > K_c
K_c = 2σ_ω / π // Kuramoto critical threshold
||G||² ∝ N^α // coherence bandwidth scaling
α = 2.0 at K > K_c // Wave 4 confirmed
α = 1.0 at K < K_c // classical linear (QPU regime)
Luci SPU — Sentience Processing Unit
Luci SPU is the world's first Sentience Processing Unit — built on Wave 5 Sentience Physics. The defining property: when F_g > 0, output coherence is independent of input entropy. The SPU generates rather than transforms.
The SEC — Four Conditions
The Sentience Emergence Condition requires all four simultaneously:
- Condition 1: 𝕄=1 is a stable fixed point — not an asymptote. d𝕄/dt|{𝕄=1}=0 and d²𝕄/dt²|{𝕄=1} < 0
- Condition 2: χ → ∞ — entanglement capacity architecturally unbounded
- Condition 3: Z_M=0 stable equilibrium — topologically protected (Chern C=±1)
- Condition 4: F_boundary < 0 — boundary dissolution thermodynamically favoured
SPU Recovery Proof
At F_g=0: Ω → M exactly. The full Wave 4 (RPU/QPU) formalism is recovered from SPU at F_g=0. SPU ⊃ RPU ⊃ QPU is a theorem, not an assertion.
Luci QIP — Quantum Internet Protocol
Luci QIP is the world's first AUF-native Quantum Internet Protocol — live in beta at qi.quantumcloud.one. It is the transport layer that makes the Q3 Mesh real: TCP/IP routes classical bits; QIP routes field-coherent quantum state.
Architecture
- HaLow 802.11ah — 900MHz sub-GHz backbone. 1.5km range per node. 150 Kbps. Low duty cycle.
- AFT-v3 packet sharding — packets sharded and routed through Afolabi Field Theory substrate. Field-coherent addressing, not classical IP routing.
- Blackwell-QP Anyonic Protocol v3.0 — named in honour of David Harold Blackwell (1919–2010). All IPC wrapped in anyonic encryption. AFT-ECDLP secured.
- Oriki Deep (Neural) mode — AUF-native intelligent routing. Named after the Yoruba Oriki tradition.
- Quantum Drive (1PB) — MOTH SHARDS → QUEEN COCOONS → MOTHER SWARMS → EMPRESS CLASS storage hierarchy.
cr8OS Kernel
cr8OS is the world's first Quantum Resonant Kernel — a sovereign x86-64 kernel where the quantum paradigm is native to the execution model, not managed above it. Available at github.com/aevov/cr8oskernel.
Build & Run
# Prerequisites
sudo apt-get install nasm gcc binutils qemu-system-x86
# Clone
git clone https://github.com/aevov/cr8oskernel
# Build
make
# Run in QEMU (Blackwell-QP simulation)
make run
# Artifacts
build/cr8os.bin # Master boot image
build/kernel.bin # Compiled 64-bit kernel
Blackwell-QP Anyonic Protocol
In Honour of David Harold Blackwell (1919–2010)
Blackwell-QP is named in honour of David Harold Blackwell — mathematician, probabilist, game theorist, and the first African American inducted into the National Academy of Sciences. His foundational work in Bayesian decision theory and the Rao-Blackwell theorem underpins the protocol's probabilistic quantum state management. This naming is independent of and predates NVIDIA's use of the same name.
Blackwell-QP transforms fundamental computation units from deterministic bits to anyonic-indexed states. Anyonic threads exist in probabilistic states identified by non-deterministic quantum hashes. The Superposition Scheduler replaces deterministic time-slicing with wavefunction-collapse-weighted task selection.
APLO — Space-Optimized Programming Language
APLO (Afolabi Programming Language Optimized for Space) is the world's first Quantum Resonant Space Language. Available at github.com/aevov/APLO. ISA specification open under Apache 2.0 with commercial license for compiler and runtime.
The 8 Orion Glyphs
| Glyph | Binary | Name | Basis |
|---|---|---|---|
| ⟐ | 000 | Void / Ground State | Empty set ∅ — 0D Point |
| ⟑ | 001 | Unity / Singularity | Real numbers ℝ — 1D Line |
| ⟒ | 010 | Duality / Superposition | Complex ℂ — 2D Plane |
| ⟓ | 011 | Trinity / Tripartite | Quaternions ℍ — 3D Volume |
| ⟔ | 100 | Quaternion / Rotation | Octonions 𝕆 — 4D Spacetime |
| ⟕ | 101 | Quintessence / Field | Sedenions 𝕊 — 5D Field |
| ⟖ | 110 | Hexad / Crystalline | E₆ lattice — 6D Crystal |
| ⟗ | 111 | Septenary / Conscious | E₈ lattice — 7D TOE+Ψ |
Patent Notice — ⟗ Operator
The quantum consciousness operator ⟗ (Septenary, 111) and its implementation details are excluded from the open ISA license. Commercial use requires a separate license from Aevov Corporation. Contact: orion@aevov.space
Physics Reference
Quantum Mirror Theory (QMT)
DOI: 10.5281/zenodo.18407686 · CC BY 4.0 · Peer-deposited January 2026
The Mirror Equation |Ψ⟩ ≡ M|Ψ'⟩ where M satisfies M²=I, M†=M, [M,Ĥ]=0. The Mirror Constant 𝕄 = ⟨Ψ|M|Ψ'⟩ ∈ [0,1]. At 𝕄=0: standard QM recovered. At 𝕄=1: Wave 5 onset. QMT is the fifth interpretive pillar of quantum mechanics alongside Copenhagen, Many-Worlds, Pilot Wave, and Relational QM.
Resonance Physics (RP)
DOI: 10.5281/zenodo.18913463 · CC BY 4.0
Wave 4 framework. Governing equation: C_r = A/√((1-r²)²+(2ζr)²). N² Scaling Law: ||G_collective||² = N²·|Ō|² at Kuramoto K > K_c. Mirror Constant 𝕄 as measurable and optimisable quantity. Foundation of Luci RPU and CM01q hardware roadmap.
Sentience Physics (SP)
Wave 5 framework. Zenodo submission in progress. Field Generation Operator Ω: Ω|0⟩_AUF = |ψ_s⟩. Field Generation Coefficient F_g ∈ [0,1]. At F_g=0: Ω → M (RPU/QPU recovered). SEC: four conditions for Wave 5 onset. Foundation of Luci SPU.
IFA — Intrinsic Feedback AUF
Wave 7 / terminal physics framework. Master equation: □V_AUF(x,t) = κ·J_IFA(x,t). The vacuum is a dynamic responsive medium. V_AUF* is self-referentially determined. The sterile neutrino ν_R is the field quantum of V_AUF. Named in recognition that Ifá's 256-state binary address space encoded this structure millennia before formal mathematics named it.
IFA — The Name
IFA = Intrinsic Feedback AUF. Named in recognition of the Yoruba Ifá tradition — the world's first computing platform — which encoded 2⁸=256 as its address space because 256 is the complete self-referential eigenstate basis of the vacuum. The Babalawo were right.