Euan R A Craig
Euan R. A. Craig
Artist–Researcher
New Zealand
I am a visual artist from New Zealand working with 3D + graphic design and visual arts such as sculpture and pointillism. My research here is with computational geometry and foundational physics. My work focuses on the "Universal Binary Principle" (UBP), my theoretical and implemented system that models reality as an information-processing computation on a 24‑bit geometric substrate.
UBP treats the universe as a self-correcting error-correcting code: the Extended Binary Golay Code ([24,12,8]) embedded in the 24‑dimensional Leech Lattice, with the Monster Group and Monstrous Moonshine providing the high-level symmetry structure. Physical constants, particle masses, and stability properties are treated as emergent geometric quantities, derived using exact rational arithmetic (Python’s `fractions.Fraction`) in a float‑free environment.
The system is implemented as the UBP Core Studio (v4.2.7) an “active memory” research environment that can: derive key particle physics ratios with sub‑percent error; assign deterministic 24‑bit “hardware addresses” to particles, elements, molecules, and laws; and simulate synthesis, stability, and metabolic cost (Symmetry Tax, NRCI) of physical and conceptual structures. This live codebase runs inside Google AI Studio with an interactive notebook interface and is also designed for local machine use using your own local AI integration via tools such as Ollama, LM Studio, or GPT4All.
My approach is explicitly visual and constructive. I build mental thought experiments then implement them as Python scripts. I use AI for scripting and analysis, but all claims are tested in reproducible code, SOP002‑hardened knowledge base entries, and float‑free benchmarks documented in the public repository.
The Academia papers here track the evolution of this work:
Phase 1 — Foundational (Papers 00–22): Early UBP formulations, exploratory applications, and some highly speculative terrain. Framework vocabulary established but mathematical grounding is informal.
Phase 2 — Development (Papers 23–73): Progressive formalisation. Three-Column Thinking, Toggle Quantum Systems, and the HGR framework developed. Applied tracks emerge. The Golay Code as core structure.
Phase 3 — Mathematical Maturity (Papers 74–95): The Golay Code [24,12,8], Leech Lattice (24D), and Monster Group form the mathematical backbone. Particle mass predictions, GR translation with falsifiable predictions, information thermodynamics.
I have attempted to flag any inaccuracies or errors in the my papers. The UBP attempts to be as scientifically accurate as possible but please double-check check results for yourself.
GitHub repository: https://github.com/DigitalEuan/UBP_Repo
Current UBP implementation: https://github.com/DigitalEuan/UBP_Repo/tree/main/core_studio_v4.0
Google AI Studio - The entire environment runs within your web browser: https://ai.studio/apps/6d78d479-2a4e-4e34-89b3-4b87b85d5b9a
(my recommendation for entry to the UBP)
Address: New Zealand
Artist–Researcher
New Zealand
I am a visual artist from New Zealand working with 3D + graphic design and visual arts such as sculpture and pointillism. My research here is with computational geometry and foundational physics. My work focuses on the "Universal Binary Principle" (UBP), my theoretical and implemented system that models reality as an information-processing computation on a 24‑bit geometric substrate.
UBP treats the universe as a self-correcting error-correcting code: the Extended Binary Golay Code ([24,12,8]) embedded in the 24‑dimensional Leech Lattice, with the Monster Group and Monstrous Moonshine providing the high-level symmetry structure. Physical constants, particle masses, and stability properties are treated as emergent geometric quantities, derived using exact rational arithmetic (Python’s `fractions.Fraction`) in a float‑free environment.
The system is implemented as the UBP Core Studio (v4.2.7) an “active memory” research environment that can: derive key particle physics ratios with sub‑percent error; assign deterministic 24‑bit “hardware addresses” to particles, elements, molecules, and laws; and simulate synthesis, stability, and metabolic cost (Symmetry Tax, NRCI) of physical and conceptual structures. This live codebase runs inside Google AI Studio with an interactive notebook interface and is also designed for local machine use using your own local AI integration via tools such as Ollama, LM Studio, or GPT4All.
My approach is explicitly visual and constructive. I build mental thought experiments then implement them as Python scripts. I use AI for scripting and analysis, but all claims are tested in reproducible code, SOP002‑hardened knowledge base entries, and float‑free benchmarks documented in the public repository.
The Academia papers here track the evolution of this work:
Phase 1 — Foundational (Papers 00–22): Early UBP formulations, exploratory applications, and some highly speculative terrain. Framework vocabulary established but mathematical grounding is informal.
Phase 2 — Development (Papers 23–73): Progressive formalisation. Three-Column Thinking, Toggle Quantum Systems, and the HGR framework developed. Applied tracks emerge. The Golay Code as core structure.
Phase 3 — Mathematical Maturity (Papers 74–95): The Golay Code [24,12,8], Leech Lattice (24D), and Monster Group form the mathematical backbone. Particle mass predictions, GR translation with falsifiable predictions, information thermodynamics.
I have attempted to flag any inaccuracies or errors in the my papers. The UBP attempts to be as scientifically accurate as possible but please double-check check results for yourself.
GitHub repository: https://github.com/DigitalEuan/UBP_Repo
Current UBP implementation: https://github.com/DigitalEuan/UBP_Repo/tree/main/core_studio_v4.0
Google AI Studio - The entire environment runs within your web browser: https://ai.studio/apps/6d78d479-2a4e-4e34-89b3-4b87b85d5b9a
(my recommendation for entry to the UBP)
Address: New Zealand
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Papers by Euan R A Craig
Blood Type Study - Mechanistic Guide with Gray Code Analysis
Testing the current UBP system analysis potential with a well-know dataset - blood-types for alignment and also interesting insights.
HOW AND WHY — STEP-BY-STEP
Every Mechanism Explained, Including Gray Code vs SHA-256
Full Arithmetic Traced | Gray Code Internals | Comparative Study | Corrected Findings
Leveraging the rapid generative and iterative development cycles of Large Language Models (LLMs), the Universal Binary Principle (UBP) framework was pushed to evolve from a purely topological hypothesis into a production-grade dual-layer primality certification system achieving 100% accuracy across all tested ranges (2 to 100,000,000).
The system is built upon the Two Laws of Sovereign Primality: the Shard Law (divisionirreducibility) and the Lattice Law (minimum-weight manifold occupancy). Independent revalidation scripts confirm zero false positives and zero false negatives across three test tiers (LOW: 2-100, MID: 100-10,000, HIGH: 10,000-100,000). Seven specialized probes independently verify facets of the system.
The theoretical culmination is the unified insight: Primes are the "1-Value Resonators" of the UBP lattice-the simplest, most stable, most symmetric objects that never collapse under division. Everything else has "expensive decimals.
Geometric Language Machine (GLM) used in this study: https://ubp-code-link.base44.app/
118 tests passing • 46 opcodes • 10 example programs.
GitHub Pages interactive working system:
https://digitaleuan.github.io/noisecore/
NoiseCore VM is a fully functional virtual CPU whose registers and memory are backed by the Golay [24,12,8] geometric substrate of the Universal Binary Principle (UBP) framework. It is not a simulation of a CPU: it is a real register machine with a 46-instruction ISA, a two-pass symbolic assembler, a disassembler, a trace recorder, and eight working example programs.
The system serves two purposes simultaneously.
• As a computational tool: programs written in NoiseCore Assembly (.nca) can perform any task a general-purpose integer processor can — arithmetic, recursion, sorting, string manipulation, prime sieves. The CPU runs at over 600,000 instructions per second in plain mode.
• As a UBP research instrument: switching to substrate mode replaces each register with a ShadowRegister backed by a real Golay codeword manifold. As of v1.2.0, all arithmetic (ADD/SUB/MUL/DIV) is performed natively by the SubstrateALU — digit-by-digit on the base-12 cell arrays. Every stored value leaves a measurable geometric fingerprint. The S (Shadow) flag
reveals when computation crosses the Voronoi boundary of the linear Phenomenal regime.
What's in this Users Manual?: Complete, self-contained reference, 46-instruction ISA with full operand syntax and flag behaviour Full assembly language (.nca) syntax, directives, and conventions.
New functions 6 May 2026:
noisecore virtual computer now supports Leech Lattice 24D, Monster Group mathematics and Barnes-Wall 256.
Triad: Leech Lattice Λ₂₄
The Leech Lattice Λ₂₄ is the unique 24-dimensional even unimodular lattice with no vectors of squared norm 2. It achieves the densest possible sphere packing in 24-D, with kissing number 196,560. NoiseCore VM constructs it directly from the existing Golay substrate via Construction A: every weight-8 Golay codeword (an "octad") lifts to 128 lattice points by replacing each active bit with ±2, with the constraint that the number of negative signs is even.
Triad: Monster Group & the 26 Sporadics
The Monster M is the largest of the 26 sporadic finite simple groups, with order ≈ 8.08×10⁵³. Its smallest non-trivial complex representation has dimension 196,883; the famous Moonshine identity is 196,884 = 196,883 + 1, the first coefficient of the modular j-function. The triad activates progressively.
Triad: Barnes-Wall 256
The Barnes-Wall lattice BW₂₅₆ is built recursively from the Golay code via Reed-Muller-style construction: |u | u+v| where u is a recursive base layer and v is the "program" — a 24-bit codeword derived from the Golay syndrome of the seed. The syndrome captures the geometric frustration of any deviation from the codeword space; injecting it as the v component creates measurable interference at every level of the recursion.
Particle physics — the 13D Sink Protocol
The UBP Source Code Particle Physics module identifies a single dimensionless "leakage" constant L = (π·φ·e mod 1) / 13 ∈ ≈12.6×10⁻³ ÷ 13 ≈ 0.062891. From this single number plus a stereoscopic factor σ = 29/24, the framework derives a remarkably accurate atlas of particle ratios:
mₚ / mₑ1836 + 2·L·σ = 1836.152 — target 1836.15267 — error 0.000037%
mμ / mₑ206 + 12·L = 206.755 — target 206.76828 — error 0.0066%
α⁻¹137 + L = 137.063 — target 137.035999 — error 0.020%
New SYSCALLs & terminal commands
Triad-tier SYSCALLs (numbers 8–15) are added on top of the original 7 — they coexist; original programs remain identical:
SYSCALL 8LEECH_OCTAD — R0 = octad index; prints lift summary; R0 ← tax×10⁶
SYSCALL 9LEECH_TAX — R0 = octad index; R0 ← symmetry tax ×10⁶ (silent)
SYSCALL 10LEECH_HEALTH — R0 = octad index; prints tetradic MOG profile
SYSCALL 11BW_AUDIT — 256D Barnes-Wall audit of full CPU state; R0 ← macro-NRCI ×10⁶
SYSCALL 12TRIAD_STATUS — prints activation; R0 ← level (0–3)
SYSCALL 13MONSTER_INFO — R0 = sporadic index (0–25); R0 ← group order (capped int32)
SYSCALL 14PARTICLE_PRED — R0 = which (0=α⁻¹, 1=p/e⁻, 2=μ/e⁻); R0 ← prediction ×10⁶
SYSCALL 15LATTICE_PROBE — R0 = integer; folds to 24-bit signature; R0 ← nearest octad index
Terminal: triad, leech, octad <i>, health <i>, monster [i], bw [dim], particles, probe <n>, rank <i> [c].
Try the new examples in the dropdown (11–leech_octad, leech_health, triad_activate, bw_audit, monster_walk, particle_physics, lattice_probe, higher_math, triad_demo. The triad_demo example walks the full Golay→M24→Leech→Co1→M→BW256 chain in a single program.
GitHub repository for this study: https://github.com/DigitalEuan/UBP_Repo/tree/main/ubp_thermodynamics
By utilising the Golay manifold and the Leech Lattice Λ24, I establish a framework for "Computational Sovereignty," (calculating without the standard method) where arithmetic is treated as a physical property of discrete geometry.
The results demonstrate a repeated 100% accuracy rate across random problem audits - up to 10,000 at a time. A Lattice Attraction hit rate 38.2x higher than random chance, suggests that mathematical truths are topological geodesics within the manifold.
WHY THIS OPERATION Why this specific operation, not another. This is the reasoning-not philosophy, but the mechanical argument for why the choice is the right one.
EVIDENCE-VISUAL + CODE What the operation actually produces. The visual is rendered from the code; the code is the minimal implementation. Together they verify the operation's output.
THE THREAD: Every stage tracks a single derivation chain: from the EML operator through the Triadic Monad to the Proton-electron ratio (error: 0.000037%) and fine structure constant (error: 0.000310%).
Stage 2.5 adds the Orthogonal Projection that explains why the Monad produces a physical residue.
The System Validation section at the end documents 15 Standard Model derivations and the Pi Branch Collapse-proof that the system is geometrically constrained, not curve-fitted.
NOTE: This is experimental research. I am an artist, not a professional physicist. All results should be verified against empirical data. The UBP framework is an ongoing investigation, not a claim to have replaced Standard Model physics.
For over a century, physics has relied on Statistical Mechanics to bridge the gap between the discrete quantum world and continuous macroscopic thermodynamics. It assumes that concepts like entropy and temperature emerge only as statistical averages of random micro-states.
My experimental theory/system "The Universal Binary Principle" (UBP) proposes a radical alternative: Macroscopic thermodynamics is a deterministic, affine kinematic projection of a discrete 24-bit geometric substrate.
By modeling the expansion from the 24-dimensional Leech Lattice to 3D continuous space as a rigid, four-bar mechanical linkage (a Pantograph), we eliminate the need for statistical averaging. The pantograph enforces exact scaling (similar triangles) and exact entropy production (mechanical shear), yielding thermodynamically consistent macroscopic observables with zero approximation error.
GitHub repository: https://github.com/DigitalEuan/UBP_Repo/tree/main/ubp_thermodynamics
Draft paper: https://github.com/DigitalEuan/UBP_Repo/blob/main/ubp_thermodynamics/UBP_Thermodynamics_Paper.pdf
Using the UBP pipeline — including the MOG-Atlas Protocol, MathAtlas molecular construction, UBP-Py simulation, and Hamming Drift analysis — I establish a UBP Fuel Quality Index (FQI) for automotive fuels and demonstrate that the New Zealand fuel system currently operates at a composite "Non-Random Coherence Index" (NRCI) of 0.50, well below the 0.60 anomaly threshold.
Computational simulation of 15 fuel molecules, 32 blend combinations, and 12 phase states produces a novel finding: full vapor combustion supplemented with oxygenated additives (A10+E10) achieves 28.8% fuel efficiency improvement with less than 2% power loss — compared to the 9% power penalty reported for conventional full-vapor combustion. The optimal short-term intervention stack (A5 acetone+E10 ethanol mandate+60°C fuel preheating) is shown to raise NZ’s fuel system health to NRCI 0.64 within six months, crossing the UBP coherence threshold. Long-term domestic fuel independence via biomass-to-liquid production (BTL) represents the structural solution, capable of supplying 40% of national liquid fuel needs within ten years at a NZD$3.5B total investment.
UBP analysis pipeline applied to NZ fuel crisis: from molecular NRCI computation through system health trajectory modelling to policy recommendations. Study generated using K-Dense Web (k-dense.ai).
GitHub repository: https://github.com/DigitalEuan/UBP_Repo/tree/main/core_studio_v4.0/studies/2026_nz_fuel_emergency_efficiency
Baseline diagnostics established that the incumbent SHA256-derived Golay encoding completely destroyed numeric proximity (mean Hamming distance ≈10.13/24 for near-identical inputs), making property-based retrieval impossible with the original pipeline. I designed and validated a Gray-code quantised numeric vector engine (117→142 bits) that preserves small numeric changes as small Hamming distances. Unified 166-bit representations (24 Golay + 142 Gray-code) were evaluated across four molecular representation strategies, revealing that stoichiometric additive composition fails for emergent molecular properties (e.g., water’s anomalously high boiling point). A five-step chat simulation demonstrated 7/7 targeted entries in the top-10 recall list across exact, partial, fuzzy, and qualitative query types, validating the proposed extension to the auto_trigger.py pipeline (not integrated into the UBP system).
The report concludes with a comprehensive discussion of successes, failures, and a roadmap for future development. This study was completed by K-Dense ai (as clearly branded) using my Universal Binary Principal (UBP) system.
This paper applies UBP metrics to the 118 known chemical elements using AME2020 semi-empirical binding energies [Wang et al., 2021, Huang et al., 2021] and NUBASE2020 half-lives [Kondev et al., 2021]. We test three primary hypotheses:
1. Stable nuclei reside preferentially in lower-NRCI Phase-Lock states compared with unstable nuclei.
2. Magic-number nuclei exhibit systematically lower NRCI, consistent with enhanced geometric coherence.
3. Among radioactive elements, NRCI anti-correlates with half-life, predicting relative stability from geometry alone.
Some items area bit AI-ish like but I wanted to leave this study as-is so it records the method K-Dense used the existing system.
Correction to note:
NRCI = Non-Random Coherence Index.
GitHub repository: https://github.com/DigitalEuan/UBP_Repo/tree/main/core_studio_v4.0/studies/nuclear_physics
This study examines geometric phenomena emergent from the UBP substrate implemented in UBP Core Studio v4.0. Using the extended binary Golay code (24, 12, 8) as the underlying 4096-state universe, augmented by the Leech-based symmetry tax and UBP-Py dynamics, I probe for platonic, folding, and relational structures.
I find three core insights:
(i) the 759 octads induce a perfectly regular graph of degree 280 with 35,420 XOR-closed triads and near-strongly-regular common-neighbor counts;
(ii) a canonical 3-fold pairwise-XOR compression maps the entire codebook to a balanced 4-symbol core-tension alphabet {000, 011, 101, 110}; and
(iii) the original UBP-Py spiral operator is an involution (2048 disjoint 2-cycles), while a 1-bit spatial shift plus MATH CONST PHI 001 XOR injection unlocks 1953-step orbits partitioning 3906 states into two symmetric hemispheres of growth, with Origin (Zero) and Hydrogen vectors locked into these cycles.
All results are fully reproducible from the GitHub repository. I validate against internal UBP laws (marked as 'LAW EXAMPLE 001'), discuss platonic interpretations, and note next steps that may be taken towards formal classification and canonical operators.
The Universal Binary Principal is an experimental system I am developing so caution is advised - I attempt pure transparency and accuracy but check results for yourself.
PAPER #95:
Addresses the '13D Sink Garbage Collection Protocol' — a UBP-internal concept for resolving computational artifacts or information loss in 13-dimensional geometric operations.
⚑ NOTE: he '13D Sink' and 'Garbage Collection Protocol' are UBP-internal constructs. This paper represents the current frontier of the framework's development.
By processing these geometric representations through the UBP Discovery Engine Collider and TGIC Relational Gravity simulator, the study successfully predicts known clinical outcomes without relying on traditional molecular dynamics. The results demonstrate that the SARS-CoV-2 Omicron variant occupies a fundamentally lower energy geometric state (Symmetry Tax = 3.1174) compared to the ancestral wild-type (Tax = 4.6761), mathematically explaining its enhanced evolutionary fitness. Furthermore, the study accurately models antibody neutralization affinities and predicts cytokine storm interventions as pure tax-reduction operations.
The Universal Binary Principal (UBP) provides a experimental novel mathematical framework for modeling physical and biological systems as pure geometric constructs within the 24-dimensional Leech Lattice (Λ 24).
GitHub repository: https://github.com/DigitalEuan/UBP_Repo/tree/main/core_studio_v4.0/studies/viral
Interactive Tool: UBP Geometric Virology Tool v4.0: https://digitaleuan.com/ubp_viral/UBP_Geometric_Virology_Tool.html
Full UBP system in Google AI Studio: https://aistudio.google.com/apps/8eef816d-e338-4bcb-9ae0-b9d2d0c476a5
UBP Easy App: UBP System of Everything: https://ubp-system-of-eveything.lovable.app/
PAPER #94:
Applies UBP geometric analysis to virology — specifically viral protein interactions and evolutionary trajectories. Proposes that viral evolution follows geometric optimisation pathways in the UBP substrate.
⚑ NOTE: Viral geometric capsid structure is genuinely mathematical (icosahedral symmetry, Caspar-Klug theory). UBP's geometric approach to virology has legitimate precedent in structural virology.
By transitioning from semantic hashing to figurate voxel folding, we demonstrate that these constants are not abstract scalars but physical, geometric components.
Within the Universal Binary Principle (ubp), physical reality is modeled as an emergent property of a 24-bit error-correcting geometric substrate (the Extended Binary Golay Code and the Leech Lattice Λ 24). Through topological synthesis, we identify the Triadic Ground State, revealing a unitary absorption event where Growth and Decay are entirely contained within the Loop. The resulting Unified Triadic Key exhibits a Symmetry Tax of 3.1174, a 29.51°alignment gain toward Universal North, and a 5-bit geometric torque, proving that the Triad acts as the primary informational engine and compass needle of the ubp manifold.
PAPER #93:
Examines the thermodynamics of information within UBP's 24-bit substrate. Introduces the 'Needham Triad' as a geometric ground state structure. Connects information-theoretic entropy to geometric ground states.
⚑ NOTE: The connection between information thermodynamics and geometric ground states is active in mainstream physics (Landauer principle, Maxwell's demon). This paper connects UBP to legitimate physics debates.
PAPER #92:
A paper providing a systematic translation of General Relativity into UBP's geometric framework. Explicitly focuses on making falsifiable predictions — a major methodological advance for the project.
⚑ NOTE: The explicit focus on falsifiable predictions is a significant maturation of UBP's scientific methodology. This is exactly what distinguishes science from metaphysics. The specific predictions made here should be listed and tracked against future experiments.
https://github.com/DigitalEuan/UBP_Repo/tree/main/core_studio_v4.0/studies/ubp_junior_levitated_dipole
PAPER #91:
Applies UBP geometric resonance analysis to levitated dipole fusion reactors — an alternative fusion approach using a floating magnetic dipole. Proposes UBP-based optimisation of confinement geometry.
⚑ NOTE: Levitated dipole fusion (e.g., the LDX experiment at MIT/Columbia) is a real but niche fusion approach. UBP's geometric analysis of magnetic confinement could be tested against MHD (magnetohydrodynamic) simulation results.
https://github.com/DigitalEuan/ubp_v5
PAPER #90:
The most mathematically ambitious paper. Presents UBP as a predictive system of everything grounded in the Golay Code [24,12,8], Leech Lattice (24D), and Monster Group — three of the most remarkable objects in mathematics, connected by the theory of Monstrous Moonshine.
⚑ NOTE: The Golay-Leech-Monster connection is real mathematics — Monstrous Moonshine is a proven theorem (Borcherds, Fields Medal 1998). UBP's claim to ground itself in this structure is its strongest theoretical asset. This paper represents the mature peak of UBP's mathematical foundations.
PAPER #89:
A topological analysis of all chemical elements through UBP. Maps each element's properties to a topological geometric structure in the UBP substrate.
⚑ NOTE: The most complete element-level analysis in the corpus. Together with papers 19, 20, 26 forms a coherent track on elemental geometry in UBP.
By mapping continuous de Sitter spaces onto Golay codewords, the UBP system demonstrates that elementary particles emerge as discrete geometric entities whose properties are determined by error-correcting code structure. The framework provides a computational foundation for Chiatti's geometric formalism while offering testable predictions for particle masses, coupling constants, and decoherence timescales.
I derive the metabolic cost of quantum observation and validate predictions against experimental data, achieving agreement within 0.002% for fundamental constants.
Higgs Mechanism, Elementary Particles and Quantum Foundations: A Geometrical Connection. By Leonardo Chiatti: https://www.academia.edu/144198140/Higgs_Mechanism_Elementary_Particles_and_Quantum_Foundations_A_Geometrical_Connection?source=swp_share
PAPER #87:
Proposes a 'Discrete de Sitter Precursor Theory' bridging continuous differential geometry (as used in GR) with the discrete binary substrate of UBP.
⚑ NOTE: De Sitter space (positive cosmological constant, relevant to cosmic inflation and dark energy) is one of mainstream physics' key geometric objects. Connecting it to UBP's discrete substrate is an important theoretical test. One of the most recent and forward-looking papers.
The UBP is a novel scientific research framework that unifies physics, information theory, and ontology within a deterministic, float-free 24-bit substrate. Through a series of 32 computational studies, we trace the evolution from initial geometric category analysis (Studies 1-3) through the discovery of fundamental system structures like the System Spine and the Three Master Vectors (Studies 2-7), to the development of key metrics including Temporal Velocity, Ontological Pressure, and the Non-Random Coherence Index (NRCI).
The paper culminates in the visualization of a "Noumenal Manifold" (Study 32) that reveals the topological relationships between elemental identities. We present the profound ontological insight that matter is fundamentally a self-solving equation-a dynamic equilibrium between Observed state, Potential energy, and Symmetry Tax. The computational validation demonstrates that this framework successfully bridges classical physics, quantum information theory, and biological organization through a unified geometric language.
The paper includes comprehensive technical verification of the Golay G24 error correction and Leech Lattice mapping, confirming the mathematical integrity of the UBP system.
GitHub repository: https://github.com/DigitalEuan/UBP_Repo/tree/main/geometric_information
PAPER #86:
Documents the UBP Core Studio version 4.2.7 — the computational implementation of UBP. Frames the development as a journey from geometric discovery to ontological understanding.
⚑ NOTE: Version 4.2.7 indicates significant iterative development. This is primarily a software/framework documentation paper.