Physics from a Counting LedgerQTT

Canonical gravity authority · Updated 2026-08-20

One endpoint. Six faces. Every dependency visible.

The gravity programme was distributed across the QTT corpus. This page binds its source geometry, dimensional anchors, laboratory readouts, evidence levels, and open gates into one authority map. Start here before scoring or summarizing QTT gravity.

Open reference paperMachine referenceJSON manifest

Stable concept DOI: 10.5281/zenodo.21303020

Standard algebraℓP = √(ℏG/c3)

Rearranging the conventional Planck-length definition does not by itself predict G.

QTT-specific contentA2 current + CΩ = 4π + χg = 1

Those declared premises produce the Newton-Poisson normalization with ℓA as the source ruler.

Still openχg theorem · source-only SI · E5

The endpoint identity, absolute ruler, and independent prospective confirmation remain separate gates.

01 · Source spine

The denominator has a genealogy.

A7 supplies the axiomatic completed bundle 2π. A5-X derives the two-sided surface charge QΣ = 8πℓA2 from isotropy, one address thickness, and a closed interface. Those are different epistemic roles.

isotropic direction bundle∫S²dΩ = 4π
radial-angular capacityVSQ = 4πℓA3
two-sided surfaceQΣ = 8πℓA2
Volume lockVSQ / Vpix = 24
Surface lockQΣ / Smin = 32
Event lockQΣ2 = 16π ΔV4
Finite source evolutiondot rho = -hbar^-1 [JH,rho] + sum D[B]rho + sum D[D]rho; P_A7 rho P_A7 = rho

The source evolves by reversible real-J transport and typed birth/endurance channels while remaining inside the A7-legal finite state space.

Completed-address geometryV_pix = (pi/6) ell_A^3; V_SQ = 4 pi ell_A^3; Q_Sigma = 8 pi ell_A^2; Delta V_4 = 4 pi ell_A^4; Q_Sigma^2 = 16 pi Delta V_4

The 8pi denominator is downstream of isotropic S2 capacity, one address thickness, and a two-sided closed interface.

Regular absolute transportS_min = (pi/4) ell_A^2; W_C(e) = (C/t_A)(A_e/S_min)(ell_A/ell_e) Pi_e^A2; H_tr = H_nn(C) + H_unresolved; 0 < C <= 1

Parallel and serial composition force the two exponents to one. They do not fix C=1 or prove that the unresolved Hamiltonian sector vanishes.

Completed-event scale familyR_chi(p) = chi e; 0 < chi <= 1; A_silent = hbar(1-chi); C_H = chi

Event provenance fixes one primitive Hamiltonian direction. Faithfulness, exhaustivity, and naturality do not select its magnitude; the action-isometry point chi=1 remains an explicit theorem gate.

Gauge-natural spatial projectorP_sp = (I-R)/2; rank(P_sp) = 3; Omega_xy = P_y P_x|im(P_x) = U_xy |Omega_xy|

Three local spatial directions arise as the reversal-odd part of the six-face source packet. Full-rank adjacent overlap fixes the gauge-natural polar connection U_xy; global orientation, cycle holonomy, and a unique metric camera remain separate gates.

Finite quasi-locality||[A_x(T),B_y]|| <= C ||A_x|| ||B_y|| exp[-mu(d(x,y)-v_LR |T|)]

Finite-range, bounded local generators produce an exponentially suppressed influence outside an effective cone. This closes quasi-locality, not an exact continuous-time light cone with v_LR=c.

Conditional A2 normalization identitydiv g = -4 pi G_A rho; G_A = ell_A^2 c^3 / hbar = hbar c^5 / E_star^2

The Planck-scale rearrangement is standard algebra. The QTT-specific statement is conditional: its A2 endurance current, isotropic 4pi capacity, and endpoint map chi_g=1 reproduce the Newton-Poisson coefficient once the Artian ruler is independently supplied.

Conditional infrared Einstein reconstructionG_mn[g] + Lambda_A g_mn - (8 pi G_A/c^4) T_mn^src = E_mn^(9)

The smooth Einstein equation is the infrared shadow when every printed action, orientation, locality, reconstruction, covariance, clock, deformation, boundary, CEAC, and coefficient-transfer defect in E_mn^(9) vanishes.

Surface entropyS_H^QTT = k_B (2 pi A/Q_Sigma) = k_B A/(4 ell_A^2)

A7 supplies the axiomatic 2pi numerator; A5-X supplies the derived 8pi ell_A^2 denominator.

Same-count invarianteta kappa_QTT hbar c / k_B = 2 pi

The entropy density and Einstein coupling are reciprocal readings of one surface address count.

02 · Constructor rank

Six equations do not make six experiments.

All faces read one E★/ℓA endpoint. The present external evidence rank is three non-gravitational anchor clusters plus one gravitational calibration branch.

EnduranceGA = ℓA2c3/ℏ
Neutrino / EWm0E★ = (2π)5vQ2
EM capacityU(1) = αE★/2
source rank = 1E★ ↔ ℓAone capacity endpoint
Higgs / Fermiv = √2 qHRHE★
Top unitmt = qHRtE★
Resolved photon edgeℓA(γH)
GF-anchored construction+0.211626 ppm+0.009416 σone non-G anchor cluster · Keystone A · E2
Top row172.5579163069 GeV−0.006722 σ inverse lockscheme guarded
Neutrino rowsource frozenlive solar / joint testfirst JUNO reactor row strained
Observed-G ruler calibrationseparate branchcircular as a G predictionkept out of the non-G rank

03 · Canonical claim cards

Every claim carries its own ceiling.

Closed at scope is not the same thing as independently confirmed.

G-FINITE-SOURCE-DYNAMICS
U · RE2

Is the microscopic gravity source only a schematic cartoon?

dot rho = -hbar^-1 [JH,rho] + sum D[B]rho + sum D[D]rho; P_A7 rho P_A7 = rho

closed for the declared finite source category; gravity identification remains downstream

Constructors
finite address graph · real-J Hamiltonian · typed birth and endurance maps · A7 legality projector
Anchors
None
Falsifier
A lawful typed generator leaves the A7 sector, violates trace preservation, or breaks the printed ledger continuity identity.
Book
pp. 48, 49, 50, 51, 139, 140, 141, 142, 143, 144, 145
G-ABSOLUTE-TRANSPORT
U · RE2

What part of the microscopic transport law is actually forced?

R_chi(p)=chi e; 0<chi<=1; A_silent=hbar(1-chi); C_H=chi

primitive direction and scale-family classification closed; action isometry chi=1 and H_unresolved=0 open

Constructors
completed-event funding quotient · projective Hamiltonian direction · faithfulness · exhaustivity · source naturality
Anchors
None
Falsifier
A lawful natural primitive map has a second independent image direction, a nontrivial kernel, or a magnitude outside the declared 0<chi<=1 gate.
Book
pp. 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 659, 660, 661, 662, 717, 817
G-RANK-THREE-FRAME
U · RE2

Does the finite source derive three local spatial directions?

P_sp = (I-R)/2; P_sp^2=P_sp=P_sp^dagger; rank(P_sp)=3

rank-three module, O(3) frame torsor, and full-rank local projector-polar connection closed; SO(3), global holonomy, and metric-camera uniqueness open

Constructors
A5-X six-face packet · opposite-face involution · source-automorphism naturality · adjacent full-rank projector overlap · polar decomposition
Anchors
None
Falsifier
The reversal-odd source module fails idempotence or rank three, or the full-rank polar connection fails gauge covariance under a legal local frame change.
Book
pp. 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61
G-STRUCTURAL
R · KE2

What, exactly, does QTT derive about Newton's constant?

G_A = ell_A^2 c^3 / hbar

coefficient genealogy closed for the declared premises; chi_g=1 and source-only SI remain open

Constructors
A2 endurance current · A5-X isotropic capacity C_Omega=4pi · ell_A · c · hbar · endpoint postulate chi_g=1
Anchors
None
Falsifier
A universal weak-field law requires a retuned angular or endpoint coefficient after access effects are removed.
Book
pp. 159, 160
G-HIGGS-FERMI
AE2

Does a non-gravitational weak-sector ruler reproduce G?

ell_A^(gamma H) = 2^(3/4) hbar c q_H R_H^EW sqrt(G_F)

+0.211626 ppm; +0.009416 sigma versus CODATA G; E2 anchored retrospective consistency, not E5 confirmation

Selection audit: The frozen finite class contains 5,376 joint words: 2 land within 0.5 ppm, 9 within 5 ppm, and 42 within the current one-sigma CODATA-G window. Historical search exposure is unreconstructable and independent reproduction is absent.

Constructors
q_H · R_H^EW · source alpha_QTT · measured G_F · exact SI conversions
Anchors
G_F
Falsifier
The frozen branch moves beyond its declared G tripwire without a lawful predeclared access correction.
Book
pp. 160
G-SIX-FACE-RANK
RE2

Are the six faces six independent measurements?

rank_Estar = 1; external evidence rank = 3 + 1 calibration

closed

Constructors
six face equations · anchor-correlation matrix
Anchors
G_F cluster · top-mass row · solar mass-splitting row · observed-G ruler calibration branch
Falsifier
A face requires a second independent source endpoint or an undeclared anchor.
Book
pp. 160
G-EINSTEIN-IR
RE2

Does QTT recover Einstein's field equation?

G_mn[g] + Lambda_A g_mn - (8 pi G_A/c^4) T_mn^src = E_mn^(9)

conditional implication closed with explicit remainder; E_mn^(9)=0 is not yet an unconditional source theorem

Constructors
A2 conservation · finite continuity · symmetric source stress · local metric readout · C3 covariance · second-order moment response · Newton-Poisson normalization
Anchors
None
Falsifier
Any printed premise closes while its assigned remainder term survives, or an additional infrared rank-two operator survives the complete declared symmetry, covariance, conservation, and clock-decoupling gate.
Book
pp. 224, 756
G-ENTROPY-QUARTER
U · RE2

Is the horizon one-quarter coefficient inserted twice?

S_H/k_B = 2 pi A/Q_Sigma = A/(4 ell_A^2)

closed inside A5-X/A7; independent microstate observation open

Constructors
A7 bundle 2pi · A5-X Q_Sigma = 8 pi ell_A^2
Anchors
None
Falsifier
Legal source counting under the same axioms yields a different area coefficient.
Book
pp. 233, 684
G-LORENTZ-ONE-LOOP
RE2

Does the finite source automatically violate local Lorentz tests?

Pi_SME[Gamma_1PI^Artian - Gamma_1PI^Lorentz]_(d<=4) = 0; d Delta c/d xi|_1 = alpha/(12 pi)

closed at one-loop local-QED scope; all-orders source derivation open

Constructors
scalar entire regulator · local Einstein-gauge QED · Postulate E no-spurion domain · SME projector
Anchors
None
Falsifier
A nonzero isotropic minimal-SME counterterm or failed declared Cutkosky sum.
Book
pp. 169, 170, 171, 172, 216
G-SOURCE-ONLY-SI
KE2 reduction only

What remains before G is a source-only absolute SI prediction?

a_A = t_A Delta nu_Cs; ell_A = c a_A/Delta nu_Cs

open

Constructors
caesium nuclear and many-electron source packet
Anchors
None
Falsifier
The source-derived dimensionless tick ratio misses the exact-SI comparator after a blind freeze.
Book
pp. 48, 49, 50, 51

04 · Reading key

One label cannot carry six different claims.

Keystone classes describe what kind of ruler a result uses. Evidence levels describe what has actually been checked. Neither one is a confidence percentage.

U

Unconditional dimensionless row

A dimensionless source relation whose printed constructor has no measured dimensional anchor.

A

Anchored dimensional row

A dimensional result built with one declared measured anchor and its propagated uncertainty.

K

Source-only keystone open

The relation is known, but its absolute SI value still waits on a source-only bridge.

R

Structural recovery

A structural relation or familiar law is recovered; no new standalone numerical prediction is implied.

E2

Derivation reconstruction

The algebra, dependencies, anchors, and no-smuggling claim can be audited. This is not an observation and may remain target-aware.

E4 / E5

Prospective / independent evidence

E4 freezes a discriminating test before decisive data. E5 requires an independent observation or reproduction without QTT retuning.

Retrieval-score corrections are documentation quality control, not evidence for gravity. They now live on the separate Gravity Retrieval QC page.

05 · What remains open

A source of truth must expose its unfinished edges.

  1. 01

    Completed-event transport allocation

    Fix the remaining coefficient C from source law and decide whether Hunresolved vanishes, without importing a measured propagation rate.

  2. 02

    Spatial orientation and connection

    Derive the reduction from the local O(3) frame torsor to a coherent orientation, then select the physical inter-cell connection and holonomy.

  3. 03

    Source-only SI endpoint

    Derive aA = tAΔνCs from the caesium source packet without G, GF, or a measured dimensional constructor.

  4. 04

    Independent prospective gravity result

    Move one frozen protocol from E4 to E5 without QTT retuning.

  5. 05

    Postulate E and quantum-gravity loops

    Derive the local no-spurion domain from A1–A7 and extend beyond local one-loop matter and gauge diagrams.

  6. 06

    High-curvature source evolution

    Replace admissibility arguments with a unique finite black-hole and early-universe evolution operator.

06 · Concept DOI authorities

Stable families, not scattered record IDs.

Newton constant and six faces10.5281/zenodo.20057430

Structural G theorem, six-face endpoint ledger, anchor rank, no-smuggling Jacobian, and falsifiers.

A2 to Einstein-field dynamics10.5281/zenodo.20763263

Conditional infrared recovery of Einstein's field equation from the A2 endurance domain.

Surface coupling and entropy quarter10.5281/zenodo.21249112

Q_Sigma provenance, Einstein 8pi coupling, entropy one-quarter, and same-count invariant.

Entropy and modular charge10.5281/zenodo.20045306

Source-side entropy count and declared evidence boundary.

Non-G Artian ruler10.5281/zenodo.21190193

Fermi-anchored Planck-length construction with G excluded from the constructor.

Radiative Lorentz stability10.5281/zenodo.21301312

One-loop local-QED minimal-SME projection, anisotropic negative control, and perturbative Cutkosky scope.

Source-only SI bridge10.5281/zenodo.20936013

The open absolute-SI keystone and caesium-tick reduction.

Main bookv10.01

Axioms pp. 48–51; address geometry p. 153; endurance pp. 159–160; EFE p. 224; entropy pp. 233 and 684; 8π p. 756.

Open concept DOI