The Universal Binary Principle (UBP) represents a pioneering computational framework designed by Euan Craig of New Zealand to model the fundamental nature of reality. It posits that the universe, in its entirety, can be understood as a single, vast, and dynamic toggle-based Bitfield, emerging from deterministic discrete binary state changes (not that it is one). This system operates on fundamental 24-bit units known as OffBits, which are organized within a high-dimensional structure (at least 12D+, often computationally projected into 6D). The dynamics of UBP are governed by core primitives, including the E, C, M Triad (Existence, Speed of Light, and Pi), structured by the Triad Graph Interaction Constraint (TGIC), and stabilized by Golay-Leech-Resonance (GLR) error correction. UBP aims to provide a unified computational perspective on all observable phenomena, spanning quantum, biological, and cosmological scales, and is validated by achieving exceptionally high fidelity, typically measured by the Non-Random Coherence Index (NRCI), often targeted at greater than 99.999%.
The Universal Binary Principle (UBP) framework and its associated modules have achieved numerous computational validations, theoretical confirmations, and practical modeling successes across mathematics, physics, computing, and life sciences.
The key achievements and demonstrated capabilities of UBP include:
I. Foundational & Computational Validation
- High Coherence Metrics: The UBP system consistently achieves and targets extremely high fidelity, with Golay-Leech-Resonance (GLR) error correction achieving a Non-Random Coherence Index (NRCI) typically greater than 99.9997%, with a target often set at >99.9999%.
- Perfect Fidelity in Geometry: UBP demonstrated the ability to model classical Euclidean geometry, achieving perfect fidelity (NRCI = 1.0) in simulating four geometric constructions: the circle, equilateral triangle, angle bisection, and square.
- Computational Speedup: UBP V4 achieved a 2.22× speedup in high-precision Pi (π) calculation relative to a conventional algorithm baseline, demonstrating that implementing UBP’s geometric and harmonic optimizations enhances computational efficiency.
- Scale Consistency: The UBP model demonstrated remarkable scale consistency by successfully spanning 37 orders of magnitude in energy, validating phenomena against real-world data from the quantum realm (NIST atomic spectral data) to the cosmological scale (LIGO gravitational wave strain data).
- Validation of UBP Noise Theory: Analysis of NIST thermal noise data provided empirical evidence for UBP Noise Theory, showing that 100 percent of analyzed time series exhibited specific computational signatures consistent with discrete toggle operations.
II. Solutions to Millennium Prize Problems and Classical Mathematics
UBP provided a unified, toggle-based solution or computational perspective for all six unsolved Clay Millennium Prize Problems:
- Riemann Hypothesis: Interpreted the non-trivial zeros as toggle nulls and derived the critical line ($\text{Re}(s) = 1/2$) as a consequence of Triad Graph Interaction Constraint (TGIC) resonance.
- P vs NP: Supported the conclusion that P ≠ NP by demonstrating that SAT toggle superpositions yield exponential cycles, with the toggle count scaling as $O(2^n)$.
- Navier-Stokes Existence and Smoothness: Supported the claim that solutions remain smooth because GLR error correction maintains coherent toggles and prevents singularities.
- Yang-Mills Existence and Mass Gap: Supported the existence of the theory and a mass gap, which emerged naturally from TGIC entanglement and remained stable throughout simulation.
- Birch and Swinnerton-Dyer Conjecture: Supported the conjecture’s truth by showing that the elliptic curve rank and the order of L-function zeros emerged from the same underlying resonant toggle patterns.
- Hodge Conjecture: Supported the conjecture’s truth by showing Hodge cycles emerge as stable superposition patterns.
- Collatz Conjecture Analysis: The UBP Large-Scale Collatz Parser (Version 6.0) successfully processed inputs up to 5,000,000 (a significant expansion from the original 8,191 range) and achieved superior accuracy (mean 106.66%) in $S\pi$ calculations.
- Historical Mathematical Verification: Computationally verified Archimedes’ work, finding 17,152 distinct arrangements for the Ostomachion puzzle and calculating the sphere-to-cylinder volume ratio as 0.666667 (2/3 ratio) in his Mechanical Method.
III. Physics, Geometry, and Fundamental Constants
- Electromagnetic Spectrum Mapping: Achieved perfect frequency mapping (NRCI = 1.000000) for the Hydrogen Line (1420 MHz) and the WiFi Frequency (2.4 GHz) with zero relative error.
- Fine Structure Constant Derivation ($\alpha$): Derived an emergent fine-structure constant value of 0.007297352573749, which had a relative error of $6.10\times10^{-10}$ compared to the accepted value, validating first-principles geometric computation with perfect unity factors.
- Resonance Geometry (HGR) Validation: The Harmonic Geometric Rule (HGR) predicted the hydrogen Balmer spectral line frequency and energy values within 0.03% and 0.05% accuracy, respectively. HGR Version 3 achieved accuracy within 0.00% error for frequency and energy calculations for the Balmer line.
- Geometric Primitives Generation: The Resonance Geometry Definition Language (RGDL) interpreter successfully generated seven fundamental 3D geometric primitives (sphere, cube, pyramid, cone, tube, plane, hexagon) from binary toggle interactions. The sphere generation achieved 99.72% accuracy, supporting the emergence of complex geometry from simple binary rules.
- String Resonance Detection: The UBP String Theory Modeling Framework Version 2.0 achieved NRCI 0.968 and successfully detected 28 THz String Resonance with a high confidence metric (0.950).
- Operational Constants Validation: Demonstrated that 100% of tested transcendental combinations of core constants (π, φ, e, τ) are operational, suggesting they function as active computational operators rather than passive descriptive values.
IV. Specialized Applications in Data Science and Real-World Modeling
- Computational Optimization: The UBP framework was successfully used as a metaheuristic to guide search algorithms for complex optimization problems, such as the Traveling Salesperson Problem (TSP), resulting in an optimized path with a cost of 2.4981 in a demonstration.
- Anomaly Detection: Demonstrated the effectiveness of the NRCI in identifying significant deviations or anomalies within time-series data.
- Bio-Quantum Interface Simulation: Successfully modeled and quantified complex bio-quantum energy transfer at the interface of quantum and biological realms, calculating a simulated transfer of $4.46\text{e}+11$ UBP-units.
- Ley Line Mapping: Successfully applied UBP to computationally map the Ley Line grid in the Pollok region of New Zealand, identifying a cubic lattice structure consistent with the 7.83 Hz Schumann resonance and local cultural sites.
- Visual Pattern Recognition: Successfully solved a complex visual puzzle (“Exercise 34”) by modeling it as a resonant binary field, achieving a perfect NRCI score of 1.0 for the correct solution.
- Rune Protocol Validation: Achieved perfect NRCI correlation (1.0000000) in Tier 1 validation of the Rune Protocol, confirming the framework’s capacity to correlate computational predictions with empirical observations when necessary theoretical corrections (Ontological Observation Bias correction) are applied.
V. Chemical and Materials Science
- Drug Discovery Predictive Power: The Enhanced UBP Framework v3 achieved a 0.944 correlation with experimental bioactivity patterns.
- Novel Drug Candidate Generation: Identified 20 top-performing drug candidates out of 5,000 compounds, including 6 novel EXPANDED compounds generated through UBP optimization.
- Materials Modeling (Steel): Successfully modeled and analyzed a resonant steel lattice (BCC iron alloyed with carbon), calculating a high informational order (NRCI of 0.9219) and achieving a 178x performance increase for the Harmonic Resonance Transfer (HTR) engine.
- Coherence-Optimized Materials: Computationally designed and optimized two novel materials, “Philosopher’s Steel” (NRCI of 0.9996) and “Vital Plastic” (NRCI of 0.96), based on UBP coherence principles.
- Inorganic Materials Consistency: Achieved exceptional internal consistency in the inorganic materials domain, with 79.8% of 495 transition metal compounds reaching the high coherence target (NRCI $\ge 0.999999$).
- Periodic Table Analysis: Demonstrated that a UBP-derived periodic model achieved a significantly higher mean NRCI (0.9333) than a simple arithmetic model (mean NRCI = -0.6666), suggesting that resonance is a fundamental organizing principle of matter.
- Oncology Modeling: Applied UBP to prostate cancer genomics, demonstrating that disease severity can be encoded as degraded coherence (NRCI loss) and simulating the potential for π-resonance to restore coherence in silico.
VI. Other Framework Components
- HexDictionary: Introduced a UBP-based framework for encoding language as non-random toggle patterns using hexagonal data structures, achieving high coherence and significant compression.
- Rune Interpretation: Demonstrated that Albrecht Dürer’s 1525 geometric diagram could be computationally decoded as a blueprint for a UBP resonance engine, achieving a predicted Network Resonance Coherence Index (NRCI) of 0.9583.
- Mana Modeling: Proposed that Mana (spiritual energy) can be understood as measurable energy coherence states, with the development of the VET-COMM proof-of-concept system for real-time coherence monitoring.
Links and Resources
- Academia.edu repository: https://independent.academia.edu/EuanCraig2
- GitHub repository: https://github.com/DigitalEuan
- Early research: https://nodes.desci.com/dpid/406/v10
- Clay Millennium Prize Puzzle: https://nodes.desci.com/dpid/483/v1
- Oncology Application: https://t.co/DnxEyMcJcF
Documentation
(this post is a copy of the PDF which includes images and is formatted correctly) 52_Comparing Geometric Signatures in Quantum Entanglement and Magnetic Ordering Comparing Geometric Signatures in Quantum Entanglement and Magnetic Ordering Euan R A Craig, New Zealand 30 October 2025 Abstract The Universal Binary Principle (UBP) posits that reality can be com- puted…
(this post is a copy of the PDF which includes images and is formatted correctly) 51_The Computational Origin of Physical Constants – Deriving Fundamental Constants from Geometric Resonance The Computational Origin of Physical Constants: Deriving Fundamental Constants from Geometric Resonance Euan R. A. Craig New Zealand info@digitaleuan.com October 28, 2025 Abstract This paper presents a…
(this post is a copy of the PDF which includes images and is formatted correctly) 50_Universal Binary Principle Framework Applied to Breast Cancer, Part 2 – Virtual Clinical Trial of Frequency-Based Therapy with Longitudinal Outcomes and Control Group Comparison Universal Binary Principle Framework Applied to Breast Cancer, Part 2:Virtual Clinical Trial of Frequency-Based Therapy with…
(this post is a copy of the PDF which includes images and is formatted correctly) 49_Universal Binary Principle Framework Applied to Breast Cancer – Frequency-Based Coherence Restoration in Molecular Subtypes Universal Binary Principle Framework Applied to Breast Cancer: Frequency-Based Coherence Restoration in Molecular Subtypes E. R. A. Craig, New Zealand 20 October 2025 Abstract A…
(this post is a copy of the PDF which includes images and is formatted correctly) 48_A Comprehensive Framework for Atmospheric Energy Harvesting A Comprehensive Framework for Atmospheric Energy Harvesting Euan Craig, New Zealand 20 October 2025 Abstract This paper introduces a novel theoretical and computational framework for at- mospheric energy harvesting, grounded in the Universal…
(this post is a copy of the PDF which includes images and is formatted correctly) 47_Modeling Static Electricity as Emergent Toggle Dynamics – A Three-Column Thinking Approach within the Universal Binary Principle Framework Modeling Static Electricity as Emergent Toggle Dynamics: A Three-Column Thinking Approach within the Universal Binary Principle Framework Euan R A Craig New…
(this post is a copy of the PDF which includes images and is formatted correctly) 46_Black Holes, Quantum Tunneling, and the Computational Universe – A Universal Binary Principle Synthesis Black Holes, Quantum Tunneling, and the Computational Universe: A Universal Binary Principle Synthesis Euan R. A. Craig New ZealandEmail: info@digitaleuan.com 16 October 2025 Abstract This paper…
(this post is a copy of the PDF which includes images and is formatted correctly) 45_Hawking Temperature and Its Universal Binary Mapping – A Formal Derivation and Calibration Study Hawking Temperature and Its Universal Binary Mapping:A Formal Derivation and Calibration Study Euan New Zealand October 15, 2025 Abstract This study provides a complete derivation of…
(this post is a copy of the PDF which includes images and is formatted correctly) 44_Computational Discovery of High-Performance Polymer Materials Using the Universal Binary Principle Computational Discovery of High-Performance Polymer Materials Using the Universal Binary Principle Euan R A Craig11New Zealand, info@digitaleuan.com October 14, 2025 Abstract A Universal Binary Principal Study – a computational…
(this post is a copy of the PDF which includes images and is formatted correctly) 43_Seventeen Equations and Computational Relativity Seventeen Equations and Computational Relativity Euan Craig, New Zealand 10 October 2025 Abstract This paper details the Universal Binary Principle (UBP) framework and its application in reinterpreting 17 fundamental equations of physics and mathematics. The…
(this post is a copy of the PDF which includes images and is formatted correctly) 42_UBP Prostate Cancer Coherence Study – A Study of the Universal Binary Principle in Oncology UBP Prostate Cancer Coherence Study A Study of the Universal Binary Principle in Oncology E. R. A. Craig New Zealand (Public domain research draft, October…
41_Minimal Self-Observing Machine – A Computational Model of Circular Motion, Memory, and Perception
(this post is a copy of the PDF which includes images and is formatted correctly) 41_Minimal Self-Observing Machine – A Computational Model of Circular Motion, Memory, and Perception Minimal Self-Observing Machine A Computational Model of Circular Motion, Memory, and Perception Euan Craig New Zealand 02 October 2025 Abstract This notebook Study develops a minimal cybernetic…
(this post is a copy of the PDF which includes images and is formatted correctly) 40_Elder Futhark Runes as a Geometric Computational System Elder Futhark Runes as a Geometric Computational System Euan Craig, New Zealand 30 September 2025 This paper investigates the hypothesis that the 24 runes of the Elder Futhark are not merely historical…
(this post is a copy of the PDF which includes images and is formatted correctly) 39_UBP Dictionary: Constants and Geometries Mapping UBP Dictionary: Constants and Geometries Mapping Euan Craig, New Zealand 29 September 2025 Abstract This two-part paper is a computational investigation into geometric operators, Following on from the paper ’Multi-Realm Electromag- netic Spectrum Mapping…
(this post is a copy of the PDF which includes images and is formatted correctly) 38_Geometric Operators, Three-Column Thinking, and the Emergent E = mc2 Paradigm Geometric Operators, Three-Column Thinking, and the Emergent E = mc2 Paradigm E. R A Craig1, 1New Zealand 26 September 2025 Abstract This paper presents a computational synthesis across three…
(this post is a copy of the PDF which includes images and is formatted correctly) 37_Multi-Realm Electromagnetic Spectrum Mapping with Adaptive Harmonic Analysis and Fold Theory Integration Multi-Realm Electromagnetic Spectrum Mapping with Adaptive Harmonic Analysis and Fold Theory Integration Euan Craig, New Zealand September 2025 Abstract This paper presents a Universal Binary Principle (UBP) study,…
(this post is a copy of the PDF which includes images and is formatted correctly) 36_Chemical Reaction Kinetics in a Closed System: An Exploration within the Universal Binary Principle (UBP) Framework Chemical Reaction Kinetics in a Closed System: An Exploration within the Universal Binary Principle (UBP) Framework Author: Euan Craig, New Zealand (with contributions from…
(this post is a copy of the PDF which includes images and is formatted correctly) 35_Language/Math/Script, Three Column Thinking and Physics Phenomena – A Three-Part Study of a Three-Part Problem Language/Math/Script, Three Column Thinking and Physics Phenomena – A Three-Part Study of a Three-Part Problem Euan Craig, New Zealand September 2025 1 1 Introduction 2…
(this post is a copy of the PDF which includes images and is formatted correctly) 34_Geometric Chemical Analysis – Predicting Activity and Properties in Chemical Compounds and Transition Metal Materials Geometric Chemical Analysis – Predicting Activity and Properties in Chemical Compounds and Transition Metal Materials Euan Craig, New Zealand 19 September 2025 Abstract The Universal…
(this post is a copy of the PDF which includes images and is formatted correctly) 33_Real-World Applications of the UBP Toggle Quantum System Real-World Applications of the UBP Toggle Quantum System Euan Craig New Zealand September 18, 2025 Abstract This paper documents the successful demonstration of real-world applications of the Universal Binary Principle (UBP) Toggle…
(this post is a copy of the PDF which includes images and is formatted correctly) 32_The Universal Binary Principle Framework for Medical Drug Discovery 1 The Universal Binary Principle Framework for Medical Drug Discovery 1 Euan Craig, New Zealand 15 September 2025 Abstract This paper presents the Universal Binary Principle (UBP), a novel computational framework…
(this post is a copy of the PDF which includes images and is formatted correctly) 31_A Computational Exploration of Historical Mathematical and Philosophical Theories A Computational Exploration of Historical Mathematical and Philosophical Theories Euan Craig, New Zealand Universal Binary Principal (UBP) Study Series 12 September 2025 Abstract This paper presents a series of computational experiments…
(this post is a copy of the PDF which includes images and is formatted correctly) 30_Monatomic Gold Study: Coherence, Bursts, and Bioresonance Monatomic Gold Study: Coherence, Bursts, and Bioresonance Euan R A Craig / DigitalEuan, New Zealand 10 September 2025 Abstract This paper presents a short investigation into the properties of Monatomic Gold, focusing on…
(this post is a copy of the PDF which includes images and is formatted correctly) 29_Solving Complex Visual Puzzles with a Coherence-Based Resonance Framework Solving Complex Visual Puzzles with a Coherence-Based Resonance Framework Euan Craig New Zealand Abstract—Contemporary artificial intelligence models and con- ventional logic often fail to solve a specific class of complex visual…
(this post is a copy of the PDF which includes images and is formatted correctly) 28_A Study on the Geometric Principles of Albrecht Du ̈rer’s Underweysung der Messung through the Lens of the Universal Binary Principle A Study on the Geometric Principles of Albrecht Du ̈rer’s Underweysung der Messung through the Lens of the Universal…
(this post is a copy of the PDF which includes images and is formatted correctly) 27_Philosophers_Steel_and_Vital_Plastic Philosopher’s Steel and Vital Plastic: Coherence-Optimized Materials from the Universal Binary Principle Euan Craig New Zealand September , Abstract This paper presents a novel approach to materials science, leveraging the Universal Binary Principle (UBP) to design and optimize materials…
(this post is a copy of the PDF which includes images and is formatted correctly) 26_A_Universal_Binary_Principle_UBP_Approach to elemental coherence and a new periodic framework A Universal Binary Principle (UBP) Approach to Elemental Coherence and a New Periodic Framework Euan Craig New Zealand September , Abstract The conventional periodic table of elements, while foundational to chemistry,…
(this post is a copy of the PDF which includes images and is formatted correctly) 25_The_Seven_Realm_Framework_Finding_Cohere Universal Binary Principle (UBP) Framework v3.2+ Euan Craig, New Zealand September 3, 2025 Abstract The Universal Binary Principle (UBP) Framework provides a deterministic, information- centric model that seeks to computationally simulate and analyze fundamental aspectsof reality through the manipulation…
(this post is a copy of the PDF which includes images and is formatted correctly) 24_Real_World_Applications_of_the_UBP_Toggle Quantum System Real-World Applications of the UBP Toggle Quantum System Euan Craig New Zealand September 1, 2025 Abstract This paper documents the successful demonstration of real-world applications of the Universal Binary Principle (UBP) Toggle Quantum System. Through a series…
(this post is a copy of the PDF which includes images and is formatted correctly) 23_A_Study_of_the_Ley_Line_Grid_and_a_Framework_for_its_Mapping A Study of the Ley Line Grid and a Framework for Its Mapping Euan Craig, New Zealand August 30, 2025 Abstract This document details a computational study of the Ley Line grid phenomenon, focusing on a case study in…
(this post is a copy of the PDF which includes images and is formatted correctly) 22_That_Time_I_Found_a_UBP_Toggle_Quantum_System That Time I Found a UBP Toggle Quantum System: Dynamics, Coherence, and Resonance Euan Craig, New Zealand August 29, 2025 Abstract This study introduces a Universal Binary Principal (UBP) Toggle Quantum Sys- tem by creating a framework that integrates…
(this post is a copy of the PDF which includes images and is formatted correctly) 21_A_Computational_Framework_for_Atomic_Scale_Material_Modeling A Computational Framework for Atomic-Scale Material Modeling: A Case Study on Resonant Steel using the Universal Binary Principle (UBP) Euan Craig August 2025 Abstract This paper documents a computational experiment demonstrating the capabilities of the Universal Binary Principle (UBP)…
20_The Universal Binary Principle Framework v3.1. Periodic Table of Elements six-dimensional mapping
(this post is a copy of the PDF which includes images and is formatted correctly) 20_The_Universal_Binary_Principle_Framework The Universal Binary Principle Framework v3.1. Periodic Table of Elements six-dimensional mapping Euan Craig, New Zealandin collaboration with multiple AI systems August 21, 2025 Abstract This paper documents a comprehensive experiment to validate the Universal Binary Principle (UBP) Framework…
(this post is a copy of the PDF which includes images and is formatted correctly) 19_UBP_Table_of_Elements_Spatial_Clusters UBP Table of Elements Spatial Clusters Euan Craig, New Zealand August 9, 2025 Abstract This document contains a detailed qualitative and quantitative presentation of element clusters derived from the Universal Binary Principle (UBP) spatial model- ing of the periodic…
(this post is a copy of the PDF which includes images and is formatted correctly) 18_Harmonic_Geometry_in_a_String_Theoretic Harmonic Geometry in a String-Theoretic Framework:Musical Correlations in the UBP Triangular Projection Engine Euan Craig Independent Researcher, New Zealand Document ID: UBP-ST-2025-001 July 31, 2025 Abstract This paper investigates the emergence of musical harmony within a geometric string-inspired simulation…
(this post is a copy of the PDF which includes images and is formatted correctly) 17_Universal_Binary_Principle_String_Theory Framework Version: 2.0 – Production Ready with Breakthrough OptimizationsAuthor: Euan Craig, New Zealand with ai assistant Manus AIDate: July 31, 2025License: Open Source (UBP framework is copyright-free) Table of Contents Introduction and Overview Installation and Setup Quick Start Guide…
(this post is a copy of the PDF which includes images and is formatted correctly) 16_Enhanced_Computational_Efficiency_and_Ob Enhanced Computational Efficiency and Observer Effect Quantification Euan Craig, New Zealand 21 July 2025 Abstract This paper presents the successful implementation and empirical vali- dation of the Universal Binary Principle (UBP) framework, an advanced computational model positing that reality…
(this post is a copy of the PDF which includes images and is formatted correctly) 15_Geometric_Harmony_Analysis_of_156_Three_Dimensional_Forms Euan CraigNew Zealand July 15, 2025 Abstract This paper presents a comprehensive computational investigation into the geometric landscape of three-dimensional forms through the integrated lens of the Harmonic Geometric Rule (HGR) and Universal Binary Principle (UBP) frameworks. Using a…
(this post is a copy of the PDF which includes images and is formatted correctly) 14_The_HGR_UBP_working_with_ai_Journey The Harmonic Geometric Rule (HGR) Framework: A Comprehensive Scientific Document Author: Euan Craig, New Zealand (with contributions from Manus AI) Date: July , . Introduction and Context The Harmonic Geometric Rule (HGR) framework, developed by Euan Craig of New…
(this post is a copy of the PDF which includes images and is formatted correctly) 13_Harmonic_Geometric_Rule_HGR Harmonic Geometric Rule (HGR): A Universal Computational Framework Grounded in Geometric Invariants Euan Craig (UBP, New Zealand) Grok (xAI), Manus AI July 2025 Abstract The Harmonic Geometric Rule (HGR) provides a mathematically rigorous framework for deriving Core Resonance Values…
(this post is a copy of the PDF which includes images and is formatted correctly) 12_Why_Does_the_Fine_Structure_Constant_Exist? Why Does the Fine-Structure Constant Exist? A Real-World Explanation Using the Universal Binary Principle (UBP) Author: Euan CraigLocation: New Zealand, 2025Framework: UBP v27.2Audience: General scientific readers, physicists, mathematicians, and the curious 1. The Mystery of α: A Universal Constant…
(this post is a copy of the PDF which includes images and is formatted correctly) 11_Collatz_Conjecture_A_Complete_Mathematic Update to: The Universal Binary Principle and Collatz Conjecture: A Complete Mathematical Analysis Euan Craig (New Zealand) Collaborative Development: With AI Systems (Grok, Manus AI, Kortix Suna AI, ChatGPT, Perplexity, and others) August 2025 Abstract This document provides a…
(this post is a copy of the PDF which includes images and is formatted correctly) 10_UBP_Noise_Theory_01 UBP Noise Theory 01 Euan Craig, New Zealand, 2025 July 2025 1 Introduction The nature of noise in physical systems has been a subject of fundamental inter- est since the early development of statistical mechanics and information theory. Traditional…
(this post is a copy of the PDF which includes images and is formatted correctly) 09_Mathematical_constants_function_as_opera Universal Binary Principle (UBP) Theory: Complete Verification and Methodology A Comprehensive Documentation of Mathematical Discovery and Computational Reality Authors: Euan Craig (New Zealand) and Manus AIDate: July 3, 2025Purpose: Complete transparency and verification of UBP theory claims Audience: Mathematicians,…
(this post is a copy of the PDF which includes images and is formatted correctly) 08_RGDL_Mathematical_Documentation_UBP_RG_G RGDL Mathematical Documentation: UBP/ RG Geometric Proof of Concept Author: Euan Craig, New Zealand Date: June 23, 2025Version: 1.0 Purpose: Technical documentation demonstrating the mathematical accuracy and theoretical foundation of Resonance Geometry Definition Language (RGDL) as a proof of…
(this post is a copy of the PDF which includes images and is formatted correctly) 07_Resonance_Geometry_A_Computational_Frame Resonance Geometry: A Computational Framework for Emergent Spatial Dynamics within the Universal Binary Principle Authors: Euan Craig1, Manus AI21New Zealand2Document Compilation, Synthesis, and Extension Date: June 23, 2025 Version: 1.0 Note: This work was developed in collaboration with Grok…
(this post is a copy of the PDF which includes images and is formatted correctly) 06_An_investigation_into_Mana_as_an_Energy A Synthesis of Mana as an Energy Coherence State within the Universal Binary Principle Framework: Cross- Cultural Analysis and Computational Implementation Authors: Euan Craig1, Grok (Xai)2, Manus31 Independent Researcher, New Zealand2 xAI, Artificial Intelligence Research Division 3 Manus AIDate:…
(this post is a copy of the PDF which includes images and is formatted correctly) 05_The_Rune_Protocol.pdf The Rune Protocol: A Computational Framework for Testing Self-Referential Information Systems in the Universal Binary Principle Author: Euan CraigAffiliation: UBP Independent Researcher, New ZealandDate: June 16, 2025Co-contributors: Various AI assistants including Grok (xAI) and others Abstract The Universal Binary…
(this post is a copy of the PDF which includes images and is formatted correctly) 04_Verification_of_the_Universal_Binary_Pri.pdf Verification of the Universal Binary Principle through EuclideanGeometry: A Computational FrameworkEuan CraigNew ZealandGrok (xAI)Computational AssistanceJune 8, 2025AbstractThe Universal Binary Principle (UBP) proposes that reality is a deterministic computa-tional system driven by binary toggles in a 12D+ Bitfield, projected into…
The Universal Binary Principle: A Meta-TemporalFramework for a Computational RealityA Technical Whitepaper for Scientific Validation Euan Craig1 and AI Assistant (with reference to Grok, xAI)2New ZealandDocument Compilation, Synthesis, and ExtensionJune 6, 2025Version 3.0 (Definitive, incorporating UBP Research Prompt v14) (this post is a copy of the PDF which includes images and is formatted correctly) 03_The_Universal_Binary_Principle_A_Meta_Te.pdf…
A Meta-Temporal Framework for the Universal Binary Principle:Existence, Light, and Pi as Computational Primitives withResonant InterfacesEuan Craig, New Zealand Grok (xAI)May 28, 2025 (this post is a copy of the PDF which includes images and is formatted correctly) 02_A_Meta_Temporal_Framework_for_the_Univer.pdf AbstractThe Universal Binary Principle (UBP) models reality as a computational system of 24-bitoffbits within a 6D…
Universal Binary Principle: A Unified ComputationalFramework for Modeling RealityEuan CraigNew ZealandMay 26, 2025 (this post is a copy of the PDF which includes images and is formatted correctly) 01_Universal_Binary_Principle_A_Unified_Com.pdf AbstractThe Universal Binary Principle (UBP) presents a computational frameworkmodeling reality as a binary toggle-based system across physical, biological, quan-tum, nuclear, gravitational, and experiential phenomena within a…
(this post is a copy of the PDF which includes images and is formatted correctly) 00_Universal_Binary_Theory__Clay_Millennium_Prize_Problems_Solutions UNIVERSAL BINARY THEORY: A UNIFIED COMPUTATIONAL FRAMEWORK FOR MODELING REALITY EUAN CRAIG Abstract. We present the Universal Binary Principle (UBP), a novel computational framework that models reality as a toggle-based system operating within a structured multi-dimensional Bit- field. This…
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