Supreme Polarity Theory
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Supreme Polarity Theory

The official documentation of the theory. Each chapter ships with interactive 3D models — click any model to view fullscreen.

Chapter

Science

Continually expanding

Getting Started

IntroductionThe Axioms

Physics

Photon & Light↳Wave–Particle Duality↳The Properties of Light — Brightness, Shadow, Path, Reflection, Refraction↳Color and Light Scattering↳Flip-Energy IS Light and Heat↳All Radiation Is One↳Why Electrons Create Photons — Electricity Becomes LightThe Four Forces — One Rule↳Electromagnetism↳How Electric Current, Electric Field and Magnetic Field Are Generated↳DC and AC Electricity — Properties of Direct and Alternating Current↳Gravity from In-Phase Spin↳Strong & Weak ForcesEmpty Space Is Also Tai Chi Nodes — Flipping in Other RealitiesMatter & Mass↳How Matter Forms — From One Node to the Periodic Table↳E = mc² — A Closer Look↳Chemistry — Reactions as Rearrangement of Phase-Coherence↳States of Matter — Solid, Liquid, Gas, Plasma as Phase-Coherence RegimesMatter as wave-pattern — DANodes don't move, only patterns doGravitational waves in SPT — complete plain guide + Tier-B math

Math Foundations

Mathematical Evidence — Overview (foundations gate)The One SPT Action — Foundation, Audit, Refined FormBagua Cascade — The Underlying Data StructureDANode in Q_7 — rigorous Tier-B-EXACT lattice theoremsAb-initio Derivations — 6 Roadmap Steps + 4 Toy Toggles TestedSPT substrate — Tier-B evidence: what math can prove (and what only Nature can)Natural effects A–C — Tier-B EXACT / PASS from Map F, virtual DA, phase-lockπ and SPT — related how? (not a Bagua fraction)Natural effects D–F — Tier-B EXACT / PASS (astro, force, QI)Time from the membrane — redefining time with c as update speedSpeed of light from the SPT membrane — c as emergent rate, SymPy-verified to all orders↳Cross-relation 5.1 — c → Light: c IS the membrane flip rate↳Cross-relation 5.2 — c → Electricity: c² = 1/(ε₀μ₀) and α_em from Bagua geometry↳Cross-relation 5.3 — c → Matter: cascade slope d₀ = √7/4 from same membrane spacing↳Cross-relation 5.4 — c → Forces: gravity, EM, strong, weak from one membrane↳Cross-correlation test — c and d₀ from the SAME membrane spacing (PASS)SPT time-unit ladder — second, minute, hour, day, month, yearYin-Yang Z₂ symmetry — the SPT discrete invariance behind θ_QCD ≡ 0 and m_ν1 ≡ 0Phase H2 — Four blind spears (B1–B4) Tier-B + pre-reg freezeYin-Yang Node internal geometry — pole separation r_yy = √(7/8)·ℓ_Planck and 7 dynamical processesDiscovered principles — SPT axioms verified by SymPy (10 May 2026 v3 synthesis)Zero-parameter authenticity — what "no CODATA, no PDG, no α_em" really means in SPT

Map F & RG

Phase 9 — SPT Core Series (Index): Ab Initio Breakthrough Layer↳Map F — Easy full guide: what it is, the conditions, Tier-B proof↳Action ↔ Map F — Easy guide: what we proved, what it means↳Map F — Simple summary: what we found, why it matters, where it sits in history↳What is Master Map F? (denominators + numerators + why it matters)↳Direction 1 — Master Map F from the SPT Action (easy guide + uniqueness)↳Proving N2: why n_solar = 4 (not a free +1 guess)↳Phase 9 — Master Map F: One Bagua Functor → Many Observables (Tier-B EXACT)↳Phase 9 — Cross-Sector Shell Theorem (W=13, S₄₀=40)↳Phase 9 — WHY Q₇: n=7 Forced by (3+1+3) ∩ (2ⁿ+8+1=137)↳Phase 9 — Substrate RG Framework: 137 is IR Combinatorial (not UV magic)↳Direction 2 — Lattice RG Flow (easy guide): zoom from the DANode grid to everyday scales↳Direction 2b — Closing the open RG gaps (β, α-flow, continuum frame)↳Map F ↔ 40 constants — links, layers, and predictions↳Direction A — Thickening the Action → Map F bridge (A1–A4)

SPT Laws

SPT Laws — formal synthesis vs. modern physics (80 Laws · domain hubs)↳Laws hub — Symmetries & QM roots↳Law 20 — Noether's theorem from membrane Action (Đợt 2 · 10/05/2026 v3.3)↳Law 21 — Heisenberg uncertainty Δx · Δp ≥ ℏ/2 (Đợt 2 · 10/05/2026 v3.3)↳Law 22 — Wigner classification of particles (Đợt 2 · 10/05/2026 v3.3)↳Law 23 — Goldstone's theorem from broken U(1) (Đợt 2 · 10/05/2026 v3.3)↳Law 24 — B + L conservation from yao parity (Đợt 2 · 10/05/2026 v3.3)↳Law 45 — Entropy + Arrow of Time from DA Coset Decoherence (Đợt 15 · 11/05/2026 v3.17)↳Law 46 — Quantum Entanglement (Bell-CHSH) from Q_7 × Q_7 (Đợt 16 · 11/05/2026 v3.18)↳Law 47 — Spin-2 Graviton Polarization from Q_7 yao-pair (Đợt 17 · 11/05/2026 v3.19)↳Laws hub — Flavour & electroweak↳Law 25 — Three SM generations from Bagua mod-6 (Đợt 3 · 10/05/2026 v3.4)↳Law 26 — Normal neutrino mass hierarchy from yin-yang Z₂ + cascade (Đợt 3 · 10/05/2026 v3.4)↳Law 27 — Top mass m_t = v/√2 from cascade entry depth (Đợt 3 · 10/05/2026 v3.4)↳Law 28 — Higgs mass m_H = v · √(33/128) from Bagua shell (Tier-B EXACT · 10/05/2026 v3.5)↳Law 36 — sin²θ_W Weinberg angle from Bagua 3/13 + RG (Đợt 6 · 10/05/2026 v3.7)↳Law 48 — PMNS Angles Closed-Form from Q_7 Coset Overlaps (Đợt 18 · 11/05/2026 v3.20)↳Law 53 — Anomalous Electron Magnetic Moment Δa_e (Đợt 23 · 11/05/2026 v3.25)↳Law 54 — CKM Matrix Closed-Form from Bagua Q_n Ratios (Đợt 24 · 11/05/2026 v3.26)↳Law 55 — Electroweak VEV v + Boson Masses M_W, M_Z (Đợt 25 · 11/05/2026 v3.27)↳Laws hub — Strong force & hadron mass↳Law 33 — α_s(M_Z) + Λ_QCD from δ_color SU(3) Casimir (Tier-A · 10/05/2026 v3.6)↳Law 37 — Cascade depths {d_i} as Hamming + Casimir algebraic identity (Đợt 6 · 10/05/2026 v3.7)↳Law 38 — Yang-Mills mass-gap from Q_3 → Q_6 hexagram closure (Đợt 6 · 10/05/2026 v3.7)↳Law 49 — Cascade-Depth Tier-B Closure (d_baryo, d_strong, d_μ) (Đợt 19 · 11/05/2026 v3.21)↳Law 51 — Yang-Mills Mass-Gap: Lattice Continuum Argument (Đợt 21 · 11/05/2026 v3.23)↳Law 56 — Hadron Masses (Proton, Neutron, Pion) from Q_3→Q_6 Closure (Đợt 26 · 11/05/2026 v3.28)↳Laws hub — Cosmology & dark sector↳Law 29 — Cosmological Λ from m_ν cascade re-anchor (Tier-B EXACT · 10/05/2026 v3.5)↳Law 30 — Dark matter = yin-dominated Bagua nodes, Ω_DM = 34/128 (Tier-B EXACT · 10/05/2026 v3.5)↳Law 32 — Baryogenesis η_B from δ_chiral phase bias (Tier-A · 10/05/2026 v3.6)↳Law 35 — Hubble tension H_0(z) via phase evolution (Tier-A · 10/05/2026 v3.6)↳Law 40 — Full Tier-B Closure of the last 7 Tier-A laws (Đợt 8 · 10/05/2026 v3.9)↳Law 50 — Cosmological Inflation Potential from V(φ) = -λcos(φ/φ_0) (Đợt 20 · 11/05/2026 v3.22)↳Law 52 — Big Bang Singularity Resolution via DA-Density Bound (Đợt 22 · 11/05/2026 v3.24)↳Law 57 — Hubble Constant H_0 Exact Value from Q_n (Đợt 27 · 11/05/2026 v3.29)↳Law 60 — Big Bang Bounce Quantitative Dynamics (Đợt 30 · 11/05/2026 v3.32)↳Law 61 — Hawking Radiation T_H from Virtual-DA Tunneling (Đợt 31 · 11/05/2026 v3.33)↳Law 62 — 0νββ Half-Life from PMNS + Majorana (Đợt 32 · 11/05/2026 v3.34)↳Law 63 — Stochastic GW Background Spectrum from Bounce (Đợt 33 · 11/05/2026 v3.35)↳Law 64 — DM Direct-Detection σ_SI from Virtual-DA (Đợt 34 · 11/05/2026 v3.36)↳Law 65 — Cascade Dynamics EOM for d_0(t) (Đợt 35 · 11/05/2026 v3.37) [Phase 7]↳Law 66 — DM Cascade Depth from C(7,4) Coset (Đợt 36 · 11/05/2026 v3.38) [Phase 7]↳Laws hub — Forces & substrate geometry↳Law 41 — Virtual DANode (Node Âm-Dương ảo) Existence Proof (Đợt 11 · 10/05/2026 v3.12)↳Law 42 — Unified Force Mechanism from DANode Rotation (Đợt 12 · 10/05/2026 v3.13)↳Law 43 — Sound Wave from Collective DANode Rotation (Đợt 13 · 10/05/2026 v3.14)↳Law 44 — Wave-Particle Duality from DANode Regimes (Đợt 14 · 10/05/2026 v3.16)↳Law 58 — Spacetime 3+1 Dimensions Emerge from Q_7 (Đợt 28 · 11/05/2026 v3.30)↳Law 59 — Spacetime 3+1+3 Rigorous Uniqueness Proof (Đợt 29 · 11/05/2026 v3.31)↳Laws hub — Phase bias & precision anomalies↳Law 31 — V(φ) upgrade META (chiral/color/EW phase bias · 10/05/2026 v3.6)↳Law 34 — Muon g−2 anomaly Δa_μ from δ_EW phase bias (Tier-A · 10/05/2026 v3.6)↳Law 34 — Muon g−2 + Hubble tension via phase evolution (Tier-A · 10/05/2026 v3.6)↳Law 39 — V(φ) Phase-Bias Closure (Tier-B Upgrade · Đợt 7 · 10/05/2026 v3.8)↳SPT Framework Statistics Checkpoint — Đợt 28 (11/05/2026 v3.30)↳SPT Framework Statistics Checkpoint — Đợt 34 (11/05/2026 v3.36, Phase 6 complete)↳SPT Framework Checkpoint — Đợt 50 (12/05/2026 v3.52, Phase 8 SUBSTANTIAL COMPLETION)

Clay & Quantum Gravity

Clay Yang–Mills via SPT: Substrate-Cutoff Partial Framework (NOT a Clay Solution)↳Phase 9 — Clay Equivalence Program (Honest Remaining 5%)↳Phase 9 — Dynamics Path: d₀(t) and w(z) (Laws 65 + 72)↳Clay hub — Phase 8 Yang-Mills chain (Laws 67–68, 73–78)↳Law 67 — Yang-Mills OS-Axiom Partial Framework on Q_7 (Đợt 37 · 11/05/2026 v3.39) [Phase 7+ partial]↳Law 68 — Phase 8a Rigorous Lattice Gauge Construction (Đợt 38 · 12/05/2026 v3.40) [Phase 8a]↳Law 73 — Phase 8b: Thermodynamic Limit V→∞ Existence (Đợt 43 · 12/05/2026 v3.45) [Phase 8b]↳Law 74 — Phase 8c PARTIAL: Continuum Limit Framework (Đợt 44 · 12/05/2026 v3.46) [Phase 8c partial — NOT Clay]↳Law 75 — Phase 8d: Mass Gap RG-Flow CONDITIONAL (Đợt 45 · 12/05/2026 v3.47) [Phase 8d conditional]↳Law 77 — Phase 8c-rest: OS-1 SO(4) Emergence (Đợt 47 · 12/05/2026 v3.49) [Phase 8c-rest CLOSES Conjecture 2]↳Law 78 — Phase 8d UNCONDITIONAL: Mass Gap m_gap = Λ_QCD·√(6π) (Đợt 48 · 12/05/2026 v3.50) [Phase 8d unconditional]↳Clay hub — Section C Quantum Gravity (Laws 69–72, 76, 79–80)↳Law 69 — Quantum SPT Action with Dirac Constraints (Đợt 39 · 12/05/2026 v3.41) [Phase 7+]↳Law 70 — Page Curve from Virtual-DA Correlations (Đợt 40 · 12/05/2026 v3.42) [Phase 7+]↳Law 71 — Bounce Quantum Dynamics (Đợt 41 · 12/05/2026 v3.43) [Phase 7+]↳Law 72 — Cosmological-Constant w(z) Evolution from d_0(t) (Đợt 42 · 12/05/2026 v3.44) [Phase 7+]↳Law 76 — Phase 8+ Section C: Physical Inner Product on DA Gauge Sector (Đợt 46 · 12/05/2026 v3.48) [Phase 8+ Section C step]↳Law 79 — Section C Gravity: Master Constraint Inner Product (Đợt 49 · 12/05/2026 v3.51) [Section C gravity closure]↳Law 80 — Phase 8 SUBSTANTIAL COMPLETION Synthesis META (Đợt 50 · 12/05/2026 v3.52) [META]Full Quantum Gravity in SPT — complete research map, honest score, and comparison
Chapter

Eastern Astrology

In development
Chapter

Spirituality

In development

Spirituality

Consciousness — Ý Thức as the Felt Geometry of Phase-CoherenceSouls, Spirits, and the Unseen World↳Ancestor Worship and Spiritual Connection — How Honouring Ancestors Builds Good KarmaCause-and-Effect & Karma — Nhân Quả and Nghiệp↳Tích Phúc and Tích Nghiệp — Why One Bad Act Burns a Forest of Merit, But Merit Accumulates Slowly↳Tâm Sinh Tướng — Why Personality, Fate and Appearance AlignDeath and Birth — The Two Rotations of a Pattern↳Natural Death and Sudden Death — Two Modes of Càn-De-AnchoringLaw of Attraction — Why Sustained Thought Becomes Reality↳Luck and Misfortune, Positive and Negative — The Geometry of Felt Fortune↳Positive and Negative — How Inner State Shapes Health and Fortune↳Wealth and Poverty — Why Good Living Conditions Create More Phase-Coherent Opportunities↳Nhân Duyên and Phase-Resonance — Why People Cluster, Marry Their Equals, and Meet the Right People at the Right Time↳Severing Nhân Duyên — How Deceit and Cruelty Break Karmic ConnectionsReincarnation — Luân Hồi as the Cycle of Pattern Rotation↳Heredity and Resemblance — Why Children Look Like Parents and Twins Are Similar