Full Quantum Gravity in SPT — complete research map, honest score, and comparison

1. What “Full Quantum Gravity” means (plain language)

Classical gravity (Newton, then Einstein 1915) describes how mass curves spacetime. Quantum theory describes atoms, light, and particles. Full Quantum Gravity is the still-missing theory that treats gravity with the same quantum rules — without singularities that break mathematics, and with predictions we can test.

In SPT we split the goal into two different bars so nobody confuses “we have a consistent story” with “we proved it from first principles.”

1b. Core principles from the Full-QG report (Đợt 72)

Principle P1 — (S_0) has no geometric sector

Four pieces only: flip kinetic, spinor, Bagua rotation, phase potential. No dynamical metric/tetrad and no (\varepsilon e\wedge e\wedge F). Varying (S_0) yields equations for (X,\psi,J,R,\varphi) — not Einstein equations. Residual Newton gravity is large-(N) phase-locking (effective), not a geometric sector inside (S_0).

Principle P2 — Binary Âm–Dương ontology → emergent geometry

Each yao ∈ (\{0,1\}), (Q_7=\{0,1\}^7) (128 vertices), DANode = Tai Chi polarity. In-phase attract / out-of-phase repel. Strong force = short-range phase lock; gravity = long-range residual (1/N). Observable 3+1 geometry, time dilation, lensing, (1/r^2) are collective effects of locking + cascade depth + large-(N) — emergent geometry, not a fundamental field already inside (S_0).

Principle P3 — Unique leading IR extension (S_0+S_\chi+S_{\rm geom})

Meaning of fields: tetrad (e) = frame/flip orientation of the DANode network; connection (\omega) from locking gradients; (F) = frame incompatibility. Under constraints — binary ontology, one phase-coupling, hierarchy (N), fermions need a frame, IR covariance + no-ghost, zero new free parameters — no other leading-order extension survives (missing (\chi), missing geometry, extra scalars, or higher-curvature as leading term all fail).

Principle P4 — Tightened coefficients (0-Immirzi, ε_GW, amplitudes)

pip install sympy numpy && python3 scripts/spt_full_qg_effective_framework.py

2. The Full-QG checklist (eight boxes)

We only call the programme “Full QG complete” if all eight close at the absolute bar. Today’s honest ticks:

3. Plain analogy: cathedral vs unfinished vault

Imagine building a stone cathedral. SPT already has: solid foundations (Q₇ lattice, DANodes), load-bearing walls (locality, 4 forces, constants from Map F), a working clock tower silhouette (cascade time, membrane tick), and beautiful stained glass (spin-2 waves, Page curve shape, bounce sky signatures). What is missing for “Full QG absolute” is the keystone of the main vault: a proof that the geometry sector itself is forced by the Action — the stone that makes the arch self-supporting without scaffolding. Today the vault stands with temporary steel props (EFT Einstein–Cartan term, κ(N) with Planck anchor, entropic postulate δS = δQ/T). Those props are honest engineering. They are not yet the keystone.

4. What is already solid (the built walls)

4.1 Section C — quantum gravity framework on Q₇

Hub index: Section C hub · dedicated pages under each Law slug (spt-law-quantum-action-constraints, spt-law-page-curve-da, …).

4.2 Supporting gravity pieces (not Full QG alone)

• Law 42 — four forces from DA spin; gravity as spin-2 frame rotation (mechanism, not continuum Einstein).
• Law 47 — exactly two graviton polarizations; scalar/vector forbidden; matches LIGO/Virgo nulls.
• Laws 58–59 — spacetime 3+1+3 yao partition; uniqueness under external axes (Bertrand, causality, SM gauge).
• Laws 12 / 52 / 60 — Planck cutoff + bounce replaces singularity (regularised cosmology).
• Laws 45 / 61 — Bekenstein form + Hawking T_H recovered; virtual-DA tunneling picture.
• Law 63 — SGWB tilt n_T = 3/13 from bounce (distinct from inflation).
• Đợt 67–68 — time as membrane tick τ; c = a/τ; civil unit ladder (ontology clocks, not WDW time solved).

4.3 Hierarchy and G — SPT’s strongest gravity card

Nature’s gravity is ~10⁴⁰ times weaker than electromagnetism. SPT’s residual / phase-mixing story gives a geometric large number:

  N  ≈  2^140            (7 yao × 20 generations; optional +2/7 ansatz)
  G  ≈  G_Planck / N     when the Planck scale is used as anchor
  log10(N) ≈ 42.14       matches grav:EM hierarchy order

Honest split: the ratio 1/N is first-class geometric. The absolute Newton constant still needs a Planck-scale anchor (or an unproven pure-Bagua κ). Candidate 2^{2/7} improves numerics but is a strong ansatz, not Tier-B.

5. Ten research directions tried (29/07/2026) — the map of walls

Internal Full-QG day research pushed every natural path inside SPT. None produced Tier-B-absolute Full Einstein from the Action alone. That negative map is as valuable as the positive Laws — same spirit as the FTL investigation (Ant and airplane).

6. Closest approach: (S_0+S_\chi+S_{\rm geom}) (= SPT + LQG spirit + Emergent IR)

The DOCX report names the unique leading Action and maps it onto a three-layer reading:

  7 yao → Ê, Â, Area
  Residual + N → G(N)
  Area → S = A / (4 G(N))     (semi-classical — micro coeff open)
  Gradient locking → T
  δS = δQ/T → G_μν = 8π G(N) T_μν
  Constraints + coherent state → semi-classical consistency

6.1 Action package (practical IR — not absolute from (S_0))

See Principle P3 above for the full (S_0+S_\chi+S_{\rm geom}) form. Semi-classical: coherent locking (\Rightarrow \langle H_\perp\rangle=0 \Rightarrow G_{00}=8\pi G(N)T_{00}+O(N_{\rm loc}^{-1/2})); Newton (\nabla^2\Psi=4\pi G(N)\rho_N); weak Schwarzschild with the same (G(N)). Dynamics: Master Constraint + path integral over flip/cluster history (\to S_{\rm IR}).

7. Is the geometric sector “mandatory”? Two meanings

Deep-research audit of Laws 58, 59, 69 and Map F axioms A0–A5 draws a sharp line:

• Law 58 — 3+1+3 partition is structural emergence (A-PASS), not pure Action derivation.
• Law 59 — (3,1,3) unique among 36 ordered compositions conditional on Bertrand / Hawking–Penrose / SM gauge axes; SPT contributes coherence with N_yao = 7, not a proof of N_yao from Action.
• Map F A1 — packing (3,1,3) as STRUCT: drop A1 and shell W is undefined. Geometry is not optional after A0–A5 — but A1 is not pure-math necessity from Action alone.
• Minimal audit L2_STRICT — capacity N_yao = 7 alone does not force n_w or W = 13; L2_STRUCT only passes after prioritizing (3,1,3).

8. What remains (absolute bar vs compute bar)

8.1 Absolute-bar gaps (if one insists on pure (S_0))

1. Force εeeF inside (S_0) by pure identity (report: not available with current structure).
2. κ(N) with no Planck anchor (absolute pure Bagua scale).
3. Continuum (J\cdot\dot R\to\varepsilon EEF) as a theorem (already fails: only (E\cdot\dot A)).

8.2 Practical-IR remaining work (does not reopen leading principles)

1. Full 128-dim volume spectrum numerics; spin-foam amplitudes depth.
2. Bounce coefficient (c_b=O(1)) from constraint dynamics (not free fit).
3. Horizon state counting detail beyond leading measure (\sim N).
4. Problem of time + measurement theory (universal QG).
5. Peer review, independent recompute, multi-year community maturation.

9. Importance assessment (why this research matters)

Historically, the value of this dossier is closer to “mapping the walls of the fortress” (what FTL research did for causality) than to “opening the gate.” Both are scientific progress. Only one is a solved theory.

10. Comparison with other approaches

10.1 Integration paths ranked (internal research)

Fair reading: SPT is peer-class with the world’s serious QG programmes on residual gravity, conditional Einstein, and quantization framework; ahead on a clean geometric hierarchy story; behind String/LQG on decades of detailed dynamics literature. The shared human fact: unconditional Full QG is open for everyone.

11. Honest scoreboard (numbers you can quote)

12. Falsifiers tied to the gravity / QG edge

These do not all kill “Full QG path” at once, but each breaks a load-bearing brick of the conditional package:

13. Research roadmap (what to do next)

1. Freeze honest EFT ceiling — document Action + κ(N) + Einstein–Cartan as conditional package (this page + internal note).
2. Attack Gᵢⱼ — complete semi-classical Einstein components under Law 69 + coherent states.
3. Entropy coefficient N — either derive 1/(4G(N)) microscopically or formalize semi-classical-only.
4. Keep principle gap (1) open and visible — no fake closure via Map F shells or Clay %.
5. Problem of time — link membrane τ_tick (Đợt 67) to WDW physical clocks (multi-year).

Realistic horizon for a claim-ready absolute Full QG (if principle gap ever closes): years, not a single Đợt. Conditional package can keep improving and facing experiments meanwhile.

14. FAQ (careful-reader questions)

15. Reading map & scripts

• Law 69 — Quantum Action constraints · spt_quantum_action_constraints.py
• Law 76 — DA inner product · spt_inner_product_da_sector.py
• Law 79 — Master constraint gravity · spt_master_constraint_gravity.py
• Law 70 Page · 71 Bounce QM · 72 w(z)
• Law 47 graviton · 61 Hawking · 58/59 spacetime
• Time from membrane · Section C hub · Checkpoint Đợt 50
• Status panorama · FTL & cosmic frontier (method cousin)

16. Conclusion

SPT Full QG (report 29/07/2026 + Đợt 72 SymPy):

1. Practical IR package CLOSED at leading order:
   binary → phase lock → continuum → S0+Sχ+Sgeom
   → Einstein + G(N) → 0-Immirzi → large-N semi-classical
   → ε_GW + amplitudes → horizon + bounce scaffold

2. Hierarchy + 0 free IR params ............... LEADING vs String/LQG/AS

3. Absolute Full QG from pure S0 variation ... NOT ACHIEVED
   (same: nobody has unconditional Full QG)

4. Remaining work is mostly computation/community
   (128-dim volume detail, c_b bounce, peer review)
   — not reopening the leading-order principle map

5. Honest rank: unique strong hierarchy candidate;
   NOT "most successful completed Full QG theory"