SPT Framework Statistics Checkpoint — Đợt 34 (11/05/2026 v3.36, Phase 6 complete)
Snapshot of the SPT framework at the conclusion of Phase 6 (Đợt 29-34, Laws 59-64). 64 Laws / 71 principles / 66 SymPy scripts (all internally consistent). 60 Tier-B EXACT + 6 Tier-A PASS. Phase 6 delivered 3 precision upgrades (Laws 59 + 60 + Law 52 elevated, Law 58 elevated) + 4 new derivations (Hawking radiation, 0νββ, SGWB spectrum, DM cross-section). All predictions pending experimental confirmation 2026-2035+. Framework remains a personal research project, not peer-reviewed.
Created 05/14/2026, 01:28 GMT+7Updated 05/14/2026, 01:28 GMT+7
📍 Checkpoint Snapshot — Đợt 34 · 11/05/2026 GMT+7 · v3.36 · Phase 6 complete
Second permanent checkpoint (first: Đợt 28 at end of Phase 5). Snapshot covers Đợt 29-34 (Phase 6 = 6 new Laws over ~3 hours after Phase 5 closure).
What Phase 6 delivered:
- 2 honest-scope precision upgrades: Law 58 A→B EXACT via formal proof (Law 59); Law 52 A→B PASS via quantitative bounce parameters (Law 60)
- 4 new derivations: Hawking radiation mechanism (Law 61); 0νββ half-life band (Law 62); SGWB tilt n_T = 3/13 (Law 63); DM σ_SI ≈ 4×10⁻⁴⁷ cm² (Law 64)
One-line summary: SPT framework now has 64 closed-form Laws with 60 Tier-B EXACT + 6 Tier-A PASS classifications, all internally consistent in SymPy with zero new free parameters. Honest scope statements appended to all Tier-A items. Phase 6 closes the most tractable Phase 6 targets; harder items (substrate ontology, rigorous QG, Yang-Mills OS-axiom) remain Phase 7+.
§1 Thống kê tổng quan — Overview Statistics
Total Laws
64 (14 foundational + 50 quick-win + Phase 6 corollaries)
Total principles
71 (64 Laws + 7 sub-principles)
SymPy scripts
66, all PASS
Tier breakdown
60 Tier-B EXACT + 6 Tier-A PASS
Free parameters
0 new (vs SM 19, MSSM ~100)
Paradoxes closed
37/37 modern-physics paradoxes (Rømer 1676 → present)
Derivation Explorer status
0 OPEN · 0 CLOSE · 0 FAIL
Number of Đợt
28 completed (Đợt 1-9, 11-22, 23-34; Đợt 10 skipped)
Version range
v3.2 → v3.36 (11/05/2026)
Falsifier predictions
50+ specific tests with deadlines 2026-2040+
§2 Tổng kết theo Phase — Phase Summary
| Phase | Đợt | Laws added | Key achievement |
|---|---|---|---|
| Foundation | 1-6 | 15-38 (23 Laws) | Quick-win EXACT closures + foundational paradigms (E=mc², CPT, Wigner, Noether, etc.). Closes ALL original OPEN problems. |
| Strengthening | 7-9 | 39-40 (2 META) | V(φ) phase-bias + full Tier-B closure. 0 CLOSE remaining. |
| META Architecture | 11-14 | 41-44 | Virtual DANode + Unified Force + Sound + Wave-particle. Substrate-level unifications. |
| Phase 1 | 15-17 | 45-47 | QM foundations: Entropy + Bell-CHSH + Spin-2 graviton. |
| Phase 2 | 18-19 | 48-49 | Structural completion: PMNS + Cascade-depth Tier-B. |
| Phase 3 | 20-22 | 50-52 | Hard targets honest-scope: Inflation + Yang-Mills + Big-Bang bounce. |
| Phase 4 | 23-25 | 53-55 | Precision tests: Electron g-2 + CKM + EW VEV. Closes last EW free parameter. |
| Phase 5 | 26-28 | 56-58 | Foundational closures: Hadron masses + Hubble H_0 + Spacetime 3+1D. |
| Phase 6 (THIS BATCH) | 29-34 | 59-64 | 2 precision upgrades (Law 59 → 58 B-EXACT, Law 60 → 52 B-PASS) + 4 new derivations (Hawking radiation, 0νββ, SGWB, DM σ_SI). 50+ falsifier deadlines now scheduled 2026-2040+. |
9 phases over 28 Đợt yielding 64 Laws. Phase 6 brings the framework to internal structural completeness for the originally-tracked problem space + adds 4 new testable predictions for 2026-2035 experiments.
§3 Phase 6 chi tiết — Phase 6 Detailed Deliverables
| Đợt · Law | Type | Closed-form result | Falsifier deadline |
|---|---|---|---|
| 29 · Law 59 | Upgrade A→B EXACT | 3+1+3 yao partition unique among 36 ordered compositions of 7 via three independent axis constraints | Eöt-Wash sub-mm gravity 2026+; LHC + Hyper-K 2030+ |
| 30 · Law 60 | Upgrade A→B PASS | ρ_max = ρ_Planck · τ_bounce = τ_Pl/4 · f_NL = 3/2 · modified Friedmann H² = (8πG/3)·ρ·(1−ρ/ρ_c) | CMB-S4 f_NL 2028; LiteBIRD r/n_s 2030; NANOGrav 2027+ |
| 31 · Law 61 | New mechanism | T_H = ℏc³/(8πGMk_B) from virtual-DA tunneling (matches Hawking 1974 EXACTLY) + S_BH cross-check Law 45 + M_PBH ≈ 5×10¹¹ kg | Fermi-LAT/HAWC/CTA PBH 2026+; LIGO O5 BH ringdown 2025-2027 |
| 32 · Law 62 | New prediction | m_ββ ∈ [1.49, 3.69] meV (NH, free Majorana phases) · T_1/2(Xe-136) ∈ [1.9×10²⁸, 1.2×10³⁰] yr · Σm_ν = 59 meV | nEXO + KZ-NEXT 2030+; CMB-S4 + DESI 2028; JUNO/DUNE 2030 |
| 33 · Law 63 | New prediction | SGWB tilt n_T = (Q_3−5)/(Q_3+5) = 3/13 ≈ 0.231 (mildly blue) — distinguishes inflation/SMBH/cosmic-string sources | PTA (NANOGrav/EPTA) 2025+; LISA 2034+; LIGO/ET/CE |
| 34 · Law 64 | New prediction | m_DM ≈ 60 GeV (cascade-shell 36) · σ_SI ≈ 4×10⁻⁴⁷ cm² (yin-yang Q_3/Q_7=1/16) · WIMP-miracle ⟨σv⟩ ~ 3×10⁻²⁶ cm³/s | LZ 2025-2027 (decisive 5-year test); DARWIN/XLZD 2035 |
Phase 6 = 2 upgrade + 4 new derivations. All 6 have specific testable predictions in the 2025-2035 experimental window. Honest scope statements appended to each.
§4 Phạm vi trung thực — Honest Scope
⚠️ What this checkpoint IS and IS NOT (updated for Phase 6)
IS:
- A personal research project's internal consistency record after 28 Đợt
- 66 SymPy scripts verifying closed-forms algebraically
- 50+ falsifiable predictions with specific experimental deadlines
- Cross-sector unifications (shell-13, shell-40, cascade-shell-36, Q_3→Q_6 closure) emerging structurally
IS NOT:
- Peer-reviewed mainstream physics publication
- Empirically confirmed (all predictions await experiments)
- A claim of priority or scientific authority
- A substitute for independent verification
Phase 6 specific honest scopes:
- Law 59: rigorous proof INHERITS rigor from Bertrand 1873 + Hawking-Penrose + SM gauge structure (3 external inputs). SPT's contribution = coherence with substrate N_yao=7.
- Law 60: bounce equation H² = (8πG/3)·ρ·(1−ρ/ρ_c) SHARES functional form with Loop Quantum Cosmology (Ashtekar 2006). SPT distinct physical origin (virtual DA + V(φ)) but math identical.
- Law 61: formula T_H = ℏc³/(8πGMk_B) RECOVERED exactly from Hawking 1974; mechanism = identification of WKB-tunneled particles as virtual DA quanta. Rigorous QG = Phase 7+.
- Law 62: Majorana phases α_21, α_31 NOT predicted by SPT — they form the prediction band. Nuclear |M_0ν|² has ~30% standard uncertainty.
- Law 63: SHAPE n_T = 3/13 Bagua-clean; AMPLITUDE inherits ~factor-100 uncertainty from Law 40 ε normalisation.
- Law 64: σ_SI computation uses standard WIMP-nucleon framework; SPT supplies projection factor (Q_3/Q_7)² and m_DM cascade depth. m_DM = 35.875 INSPIRED by Law 55 parallel but C(7,4) coset derivation = Phase 7.
§5 Thống nhất liên sector (cập nhật) — Extended Cross-Sector Unifications
Bagua-shell 13 unifies 4 sectors
sin²θ_W = 3/13 (Law 36 EW) · sin²θ_12 = 4/13 (Law 48 lepton) · A = 13/16 (Law 54 quark) · n_T = 3/13 (Law 63 SGWB tilt). Same 13 = 2Q_3 − 3 shell.
Bagua-shell 40 unifies cosmology + flavor
Cabibbo λ = 9/40 (Law 54 CKM) · h_Planck = 27/40 (Law 57 Hubble). Same 40 = Q_3 + Q_5.
Cascade-shell 36 unifies EW + DM
NEW from Phase 6: EW VEV d_v/d_0 = 36 + 7/Q_3 = 36.875 (Law 55) ↔ DM d_DM/d_0 = 36 − 1/Q_3 = 35.875 (Law 64). Parallel shell, opposite-sign correction.
Q_3 → Q_6 closure unifies QCD + hadrons + Hawking
Yang-Mills m_gap = m_proton = Λ_QCD · √(6π) (Law 51 + 56). Plus: Bekenstein S_BH derivation from yao Z₂ (Law 45) cross-checks thermodynamically with Law 61 Hawking T_H integral.
ε = 1/(8π·Q_7²) unifies GW + SGWB
NEW from Phase 6: same ε from Law 40 Closure 8 (GW phase residual at LIGO band) normalises Law 63 SGWB spectrum amplitude across PTA → LISA → LIGO → ET.
7-yao partition unifies spacetime + gauge
Law 58 + 59: 3 spatial + 1 time + 3 internal = 7 = N_yao_max on Q_7. Phase 6 promoted Law 58 from A-PASS to B-EXACT via formal enumeration.
§6 Phase 7+ — Mục tiêu còn lại / Remaining Targets
| # | Target | Phase 6 status | Phase 7+ goal |
|---|---|---|---|
| 1 | Substrate ontology (WHY Q_n?) | Q_n hypercube taken as foundational input | Derive from set theory / logic / category theory; explain N_yao_max = 7 from first principles |
| 2 | Yang-Mills OS-axiom rigorous (Clay $1M) | Law 51 Tier-A PASS lattice + structural | Construct 4D YM with OS axioms; prove m_gap > 0 rigorously |
| 3 | Cascade dynamics EOM | d_0 = √7/4 static slope (Law 6) | Derive d_0(t) time evolution from Action; predict cascade dynamics in early universe |
| 4 | Fully QG SPT Action | Semi-classical Action with V(φ) ad hoc | Quantum-gravitational version with substrate quantization; derive (1−ρ/ρ_c) correction in Law 60 exactly |
| 5 | C(7,4) coset rigorous for DM | Law 64 m_DM cascade depth 35.875 inspired by Law 55 parallel | Derive d_DM/d_0 exactly from C(7,4) = 35 yin configurations |
| 6 | Black-hole information paradox rigorous | Law 61 predicts unitarity preserved via DA correlations (consistent AdS/CFT + islands) | Derive Page curve from SPT first principles; explicit island formula in Bagua language |
| 7 | Higher-precision RG running | Laws 53-55 Tier-A PASS at RG-band precision | Derive 2-3 loop RG corrections from Bagua to promote A→B EXACT |
7 Phase 7+ targets. Items 3, 5, 7 are tractable (concrete derivations); items 1, 2, 4, 6 are deep open problems shared with mainstream physics. Phase 7 batch could start with cascade EOM or RG running.
§7 Lịch falsifier mở rộng (2026-2040+) — Extended Falsifier Calendar
| Year | Experiment | Tests Law(s) | SPT band |
|---|---|---|---|
| 2025-2027 | LZ direct DM final | Law 64 | σ_SI ∈ [2×10⁻⁴⁷, 8×10⁻⁴⁷] cm² at m_DM ~ 60 GeV |
| 2025-2027 | NANOGrav SGWB tilt | Law 63 | n_T ∈ [0.15, 0.30] |
| 2027 | nEDM-PSI Strong CP | Law 8 | θ_QCD < 10⁻¹⁰ |
| 2027+ | CTA primordial BH | Law 61 | M_PBH ~ 5×10¹¹ kg evaporation signature ~100 TeV gamma |
| 2028 | FNAL g-2 final | Law 34 | Δa_μ ∈ [2.48, 2.54]×10⁻⁹ |
| 2028 | CMB-S4 f_NL | Law 60 | f_NL ∈ [1, 2] (vs inflation 0) |
| 2028 | CMB-S4 + DESI Σm_ν | Law 62 | Σm_ν ∈ [50, 80] meV |
| 2028 | FLAG lattice m_p | Law 56 | m_p = 942 ± 1 MeV |
| 2028 | LHCb + Belle II CKM | Law 54 | All 4 Wolfenstein params within 0.5% |
| 2028-2034 | DUNE + T2K δ_CP | Law 48 | δ_CP = 270° ± 10° |
| 2030 | Berkeley Δa_e | Law 53 | |Δa_e| ∈ [5×10⁻¹⁴, 10⁻¹³] |
| 2030 | HL-LHC + FCC-ee M_W | Law 55 | M_W ∈ [79.6, 80.4] GeV |
| 2030 | LiteBIRD r/n_s | Law 50 + 60 | r ∈ [0.002, 0.005]; n_s = 0.9649 |
| 2030+ | JWST + DESI H_0 | Law 35 + 57 | H_0_Planck ∈ [67, 68]; H_0_local ∈ [72.5, 73.5] |
| 2030+ | nEXO + KZ-NEXT 0νββ | Law 62 | T_1/2(Xe-136) ∈ [1.9×10²⁸, 1.2×10³⁰] yr |
| 2030+ | Hyper-K proton decay | Law 24 + 58 | τ_p > 10³⁵ yr (no detection) |
| 2034+ | LISA SGWB mHz | Law 63 | Ω_GW(mHz) consistent with n_T = 3/13 power law |
| 2035+ | DARWIN/XLZD DM | Law 64 | σ_SI down to 10⁻⁴⁹ cm² (full coverage) |
17 sharp falsifier tests across 2025-2035+ window. If ALL pass within SPT bands, framework receives unprecedented empirical confirmation; if ANY fails at >5σ, the relevant Law is falsified and may force framework revision.
§8 Liên kết — Cross-references
- Discoveries Log — chronological order of all 28 Đợt: /discoveries-log
- Derivation Explorer — full table of 64 Laws + falsifiers: /theory/derivation-explorer
- Previous checkpoint (Đợt 28) — Phase 5 end: /theory/spt-checkpoint-dot-28
- Phase 6 Laws (Đợt 29-34):
- · Law 59 3+1+3 uniqueness
- · Law 60 bounce dynamics
- · Law 61 Hawking radiation
- · Law 62 0νββ half-life
- · Law 63 SGWB spectrum
- · Law 64 DM cross-section
- Public GitHub mirror — all 66 SymPy scripts reproducible offline (no auth)
§9 Kết luận — Conclusion
✅ Đợt 34 Checkpoint frozen 11/05/2026 23:30 GMT+7 · v3.36 · Phase 6 complete
Phase 6 added 6 Laws (59-64) over 6 Đợt: 2 honest-scope precision upgrades (Laws 59 + 60 elevating Laws 58 + 52 to B-EXACT and B-PASS respectively) + 4 new derivations (Hawking, 0νββ, SGWB, DM). All Phase 6 results carry explicit honest-scope statements identifying what inherits from external theorems vs what is genuinely SPT-novel.
Current status:
- 64 Laws / 71 principles / 66 SymPy scripts / 60 Tier-B EXACT + 6 Tier-A PASS
- 17+ falsifier tests scheduled 2025-2035+
- Cross-sector unifications: shell-13 (4 sectors), shell-40 (cosmology + flavor), cascade-shell-36 (EW + DM, NEW), Q_3→Q_6 closure (QCD + hadrons + Hawking), ε = 1/(8π·Q_7²) (GW + SGWB, NEW)
Honest scope: this remains a personal research project with internal-consistency record only. SymPy internal verification ≠ empirical truth. Mainstream peer review pending. Phase 7+ targets (substrate ontology, rigorous QG, Yang-Mills OS-axiom) are deep open problems shared with the broader theoretical-physics community.
Next milestone: Đợt 35+ Phase 7 begins with tractable items (cascade EOM d_0(t), RG running, C(7,4) coset rigorous derivation), saving the deepest items (substrate ontology, full QG) for later phases.
Comments — SPT Framework Statistics Checkpoint — Đợt 34 (11/05/2026 v3.36, Phase 6 complete)