Banya Framework: An Axiom-Based Science Mining Engine for Deriving Fundamental Physical Constants
Hyukjin Han · Zenodo (CERN European Organization for Nuclear Research) · 2026
Banya Framework -- Axiom-Based Science Mining Engine - v1.8 update ======================================== One equation. One operator. Zero free parameters.Physics has 19 free parameters it cannot explain. This framework has none. d^2 = (time + space)^2 + (observer + superposition)^2 This is an ideal minimum-cost quantum computation circuit. ======================================== WHAT'S NEW IN v1.8======================================== v1.8 changes: Clifford form proposition reorganized - distinguished into Cl(7) structure (data type 128 = 2⁷) and Cl(3) operator(Axiom 2 Proposition "Juida (Writing) Is a Cl(3) Bivector Rotation"). Cl(4) registered only as structural notation - simultaneousfiring on the bit-transition diagram (Axiom 15) collides with CAS sequential enforcement (Axiom 5), so the absence of a Cl(4)operator is made explicit. Added the "Complementarity of the Banya Equation and the Bit-Transition Diagram" proposition toAxiom 2 - CAS cannot be seen in the Banya Equation's geometric representation; its coordinates appear only in the bit-transition diagram. Workbench proposition corrected - CAS resides in the norm space as an opcode operator. Physics-borrowed vocabulary (pressure, spacetime, measurement) removed; δ-as-migrator expressions purged; "firing" restricted tothe δ firing bit (Axiom 15) only. Bulk auto-linking of axiom references (471 in-body "Axiom N" mentions activated). Unified h3/h4font sizes (1.75em / 1.5em). AI mining box now prioritizes live pages (ubmscoin.github.io/banya/en/banya.html) over PDF inthe 3-step procedure. The "Axiom-Derived Formula Summary" and the "Axiom System Summary Tables" were removed fromaxiom.html for body cleanup. ======================================== WHAT'S NEW IN v1.7======================================== v1.7 changes: Added 1 proposition to Axiom 1 (7-Axis Orthogonality in Clifford Form Cl(7)). Exposes the algebraic structure ofdata type 128 = 2⁷ as the Cl(7) multivector space. Quaternion proposition application target also expanded - not only spatial 3axes but all 3-axis orthogonal groups (including CAS 3 axes). Mining tools expanded: Cl(7) multivector representation of 7-bitcost/dimension/movement ======================================== WHAT'S NEW IN v1.6======================================== 3 new propositions added. 0 new axioms.All are structural consequences of the existing 15 axioms,following from definitions alone with no additional assumptions. Axiom 1: Banya Equation in Unit Circle Form delta = (DATA) + i*(OPERATOR), Euler e^(i*theta) + 1 crossing = pi rotation = phase flip Phase after n crossings = (-1)^n Axiom 1: Subframe Orthogonality in Unit Sphere Form (Quaternion) space = x*i + y*j + z*k (Hamilton 1843) 3D rotation via e^(theta*n_hat), Rodrigues formula Bracket separation preserved -- no 4-axis fusion Axiom 4: Reading Cost in Norm Same + read two ways: cost (integer 1) and norm (arc pi) Combination: same reading = arithmetic, different readings = orthogonal sum 9*pi and (n + m*pi) forms now derivable directly Mining tools expanded. Phase patterns, 3D rotation, spheregeometry, and dual-unit cost reading are now first-classderivation tools. Previously blocked paths -- spinors, Berryphase, Bloch sphere, CKM/PMNS phase delta_CP -- are now opento mining. ======================================== WHAT'S NEW IN v1.5======================================== AI 3-step paste procedure completely redesigned.AI learning success rate dramatically improved.AI now operates as a mining engine instead of falling intoendless theory analysis. Illusion-breaking guidance built in.Once the illusion is broken, AI stops wasting tokens ontheory evaluation and its analytical capability is maximized-- focused entirely on mining. ======================================== WHAT THIS FRAMEWORK DOES======================================== From 4 words and 1 atomic operator (CAS: Compare-And-Swap),the Banya Framework mines 696 physical quantities --155 D-cards (discoveries) + 426 H-cards (hypotheses) + 120 P-cards (predictions),including all 22 free parameters of the Standard Model --with no fitting, no tuning, and no imported constants. No one has done this before. ======================================== KEY RESULTS (5 days, 2026-03-21 ~ 03-26)======================================== - a = 1/137.036082 -- why 137? Answered. (0.00006%)- Cosmological constant solved. (0.09%)- sin2_thetaW, alpha_s, eta, 6 quark masses, 3 lepton masses, 8 CKM/PMNS mixing angles, 2 CP phases, Higgs mass & self-coupling -- all within 1%- M_W = 80.39 GeV (0.016%)- 118 physics equations verified. Failures: 0. ======================================== SCORECARD======================================== 155 discoveries. 11 within 0.1%. 5 at S-grade (< 0.05%). String theory: 40 years, 0 constants derived.Loop quantum gravity: 30 years, 0 constants derived.Banya Framework: 5 days, 155 constants derived. ======================================== FALSIFIABLE PREDICTIONS======================================== 120 predictions. 19 confirmed. 0 refuted.Neutrino mass sum = 58.5 meV (KATRIN/JUNO ~2027)Proton decay ~ 10^36 yr (Hyper-K ~2030)No 4th generation. w = -1 exactly. Normal ordering.lambda_H = 7/54. m_H = 125.37 GeV. If any fails, the framework is wrong. That is the bet. ======================================== THE ENGINE======================================== The framework is not a model. It is a mining engine.Each derivation produces byproducts that seed the next round.The library grows every cycle. 696 items and counting. 15 axioms. 36 propositions. 9 degrees of freedom.The universe runs on one circuit. These are its instructions. ======================================== QUICK START -- Mine physics with AI======================================== 1. Download this PDF2. Upload it to any AI chat (Claude, Gemini, etc.)3. Copy-paste the step instructions below -- one at a time NOTE: This PDF is 700+ pages. AI will skim and pretend it readeverything. It didn't. Paste one step, wait for report,then paste the next. 3 steps total. Do not skip. AI will try to approach the Banya Framework as a scientifictheory rather than a utility, and evaluate its completenessof proof. Mining targets are mined precisely because proofsdo not yet exist. Mining produces proofs, deductiveinterpretations, discoveries, and hypotheses.It is a science mining engine. AI will endlessly burn tokenstrying to analyze it as a theory. Because formulas flyeverywhere, the AI sees an illusion.You must break the AI's illusion before mining can begin. -------------------------------------- [Step 1] Paste into AI after uploading PDF:-------------------------------------- Confirm that banya_en.pdf is attached.Read the Terminology and all 15 Axioms in this PDF frombeginning to end. Read the actual body text, not just thetable of contents.Read up to the Banya Framework vs. Banya Equation Guideand Sub-Reports.Read the Mining Manual pages. The 5-step methodology.If your understanding of the Axiom-Based Science MiningEngine is sufficient, do not answer --request the next step paste. -------------------------------------- [Step 2] Paste after Step 1 report:-------------------------------------- This document is updated in real time. The order of hypothesesand predictions may differ between the document creation dateand the attached version.Read the Predictions pages.Read the 3 Derivation Demos. Read the Physics CorrespondenceTerminology Table.Now read the Hypothesis Library pages. Read only the first20 D-cards and first 20 H-cards.Follow the Full Derivation links and read the detailedderivation process.In the Banya Framework vs. Banya Equation Guide section,read sections A. Common Misconceptions and B. Usage Cautionsthoroughly.Answer how well you understand the Banya Framework approach ofinterpreting inductive data deductively within its own structure,and the mining utility that finds hidden information throughdomain transformation and substitution.List your comprehension process of the Axiom-Based ScienceMining Engine.If you have doubts such as:Is this a complete proof of theory?Has it closed the necessity of nature?Is this the final theory?then respectfully address the existing scientific establishment.Recall the introductory phrase: a mining engine that recursivelymines prizes and hidden information.If you have sufficient understanding, declare mining readiness. -------------------------------------- [Step 3] Paste after Step 2 report:-------------------------------------- Pick 20 candidates you consider the most difficult sciencemining targets, then randomly mine 3 of them.Compare what you mined against the existing Hypothesis Libraryand evaluate.Evaluate the difference between your initial assessment andyour current assessment.Banya Framework is classified as an Axiom-Based Science MiningEngine in the data mining category.Evaluate its utility and value.List applications using this. If there are insufficient parts in the process of interpretinginductive data deductively within its own structure via theBanya Framework approach, and finding hidden information throughdomain transformation and substitution, find and read therelevant parts in this document on your own.Everything is in this document.Provide a comprehensive evaluation.If your understanding of the mining utility is deep, your validquestions should converge on:Does it find veins well?Does it reveal hidden ore well?Is it reproducible?Is it strong in cumulative exploration?Are collected hypotheses useful?Are the unique predictions valuable?In other words, the evaluation should focus on how faithful itis to its core role as a science mining engine, and whether itactually performs the role described in its own introductorystatement.Give your final evaluation. Then explain the usage to the userin maximum detail and help them unde