W.0 Result Scorecard (one-page summary)
W.0 Result Scorecard (one-page summary): Everything starts locked, gets derived, and is qualified by a verdict — the whole document in one box. One table separates what is frozen from what is earned.
Everything starts locked, gets derived, and is qualified by a verdict — the whole document in one box. One table separates what is frozen from what is earned. 4π.
Reading aid. This page is a stand-alone summary of the paper's main quantitative claims, their epistemic grade, and the single measurement anchor on which all numbers depend. A reader who reads only this page should be able to decide whether to invest further attention.Grade legend.
[F]{} = derived from fixed geometry (no free coefficient); [H]{} = derived structure, coefficient closed under the single anchor; [O]{} = open (not derived from this framework's primitives; absolute value injected from measurement).
The single measurement anchor.
All numbers below ultimately depend on one input from measurement:
Any closure quoted at [F]{} or [H]{} level does not use any other empirical input; no fitted parameters, no per-particle calibration. See §1.8 (No-Tuning Audit) for the formal proof of this.
| Claim | Predicted (this paper) | Grade | Residual |
| α = 2/π (rectification) | 0.6366… | [F]{} | — |
| δ = 1/π² (double rectification) | 0.10132… | [F]{} | — |
| Rₚ/L_q = 2/π | geometric | [F]{} | — |
| σ_geom/L_q²=4/π | geometric | [F]{} | — |
| mₚ/mₑ = 6π⁵=2π· 3π⁴ (νₚ via LOCK-NU-N §8.0.5) | 1836.118 vs measured 1836.153 | [F]{} | -19ppm |
| rₚ = D_anch/(6π⁶) (predicted; was input) | 0.84125 fm vs locked 0.8412 | [F]{} | +61ppm |
| m_H = U_lat/(5π) (5=6-1 gauge lemma, §8.0.6(D)) | 124.69 GeV vs measured 125.20 GeV | [F]{}/[H]{} | -0.40% |
| mₚ = hc/λ_C | 0.9383 GeV (anchor closure) | [H]{} | by construction |
| Coulomb K_C=kₑ e²=α_emħ c (not an independent row — see α_em⁻¹ below) | 2.3071×10⁻²⁸ J m | [O]{} | identity kₑ e²≡αħ c; the EM coupling magnitude is an open input (αₑₘ from measurement, §14.5), not a VP prediction; A^(-1/2)hc route superseded |
| α_em⁻¹ = 4π(11 - 35/32·tfrac2π²·3/7) | 137.0364 (numerical coincidence) vs measured 137.0360 | [O]{} | not derived; recorded coincidence, αₑₘ taken from measurement (§14.5) |
| ν_p,can=3π⁴=292.227s⁻¹ | via n-fold law LOCK-NU-N (§8.0.5); length form 292.24 = cross-check | [F]{} | — |
| Electron Tₑ≈ 1s | Tₑ=NΔ t, N=N₇₅₀ | [H]+{} | 3-way self-consistency |
| Surface gravity g_(⊕)=9.80665 m/s² | cap mechanism derived; absolute value back-substituted | [F]{}+[O]{} | see §17.4 |
| Motion time dilation 1−v²/2c² (leading) | matches measured/GPS at O(c⁻²) | [F]{} | self-wake/refill competition (§18.2) |
| Exact factor √(1−v²/c²) (value) | forced by finite-c closure + electron-rate isotropy | [F]{} | value forced; full-vector dynamics open =§14.0.6 (§18.2–18.3) |
| Gravity time dilation = river √(1−2GM/rc²) | exact Schwarzschild, machine-exact to NS strong field | [F]{} | G-RIVER; v_river=√(2GM/r) (§18.6) |
| Universality (LPI) = rotor isotropy η_rotor→1 | EP its acceleration face | [F?]{} | nuclear p/n handle (§18.9) |
| Gravity sector vs GR (G-CAP-DEPART) | observationally degenerate; no surviving distinct prediction | negative | cap=contact only; geom=GR; weight on cosmology (§18.8) |
| Cosmological (1+z)=n(t_obs)/n(t_em) | handed to cosmology volume Ch 7 | [INPUT] | κ_opt=H₀/c; E-COSMO (§18.9) |
What this scorecard is and is not.
Is: a compact ledger of every quantitative claim with its epistemic status. Is not: a prediction of any number not yet measured. The framework's current mode is "single-anchor consolidation of a dozen ratios," not "advance prediction of a new constant." See §1.9 (Reviewer Doubt Trails) and §1.10 (Falsification Criteria) for the open items and the kill-conditions.W.1 One-page overview (what is locked, what is derived, and how verdicts are made)
- Core idea: Treat the VP as the fundamental unit of space (infinite rigidity / full packing / jamming regime). Every conclusion must start from locked inputs (LOCK) only, be derived, and then be qualified by Gate.
- Role of this document: It fixes, in a machine-auditable way, (a) what is locked as input, (b) what is derived output, and (c) under which conditions a result may be used as evidence (PASS).
- Reading routes: Route A (definitions → derivations → validation), Route B (realization → cross-validation → reproduction), Route C (numbers → trace-back justification) (Chapter 0).
- Supplemental modules (NON-LOCK): For a classical calibration of the discrete-scale reconstruction pipeline, see Appendix K. For a compact reader-facing mapping between the jamming vocabulary and the familiar solid/liquid/gas language (4-3-1 state dictionary), see Appendix L.
W.2 Ledger: LOCK inputs vs derived outputs (summary)
| LOCK inputs (frozen; change only by versioning) | Derived outputs (derived; qualified by Gate) |
| Canonical length anchor D_anch (canon_lock) | Electron radius rₑ=(D_anch/2)δ (e.g., Ch. 9.3, 13.5) |
| Proton radius rₚ (canon_lock) | Connection conventions (e.g., λ_C) and length-ratio invariants (e.g., Ch. 6.3, 13) |
| Realization length a (VP diameter; realization_lock) | Lattice unit energy U_lat:=hc_ref/a (13.1) |
| Realization time Δ t (realization_lock) | Cross-consistency of event counting / time windows (RCROSS, Ch. 11–12) |
| Rectification constants α=2/π, δ=1/π² (universal regime) | Mass scales m(O)=U_lat/S(O) family (Ch. 13) |
| Rotation-drive length ℓ_rot (protocol/realization family) | Anisotropy / SOC / jets (optional route; Ch. 17) |
| — (no new LOCK in v0.5.0) | Easy-to-miss derived results: source-free Maxwell contained (exact curl factorization, §14.0.6); |qₑ|=|qₚ| from synchronized rotation (§14.0.4); particle-card bridge F=mc²/D to 4 digits (§14.1.5); mass-free 633/532 light closure with pre-registered angles (§10.9.1) |
W.2.1 Master SSOT table (single source of truth for all locked quantities)
No section may redefine or recompute these quantities; downstream text references a row (symbol + lock_id) only. Values are at canonical significant figures; the Canon § column is the unique home of each definition/derivation.
| Symbol | Value | lock_id | Canon § | Depends on (←) | Grade |
| λ_ref | 632.99 nm | canon_lock | §11.1 | external anchor (I₂/HeNe) | anchor |
| N | 10¹² | canon_lock | §11.2 | split integer | lock |
| a | 6.3299×10⁻¹⁹ m | realization_lock | §11.2 | λ_ref/N | anchor-derived |
| mₑ | CODATA | canon_lock | §13.5 | mass-scale anchor | anchor |
| λ_(C,e) | 2.42631 pm | — | §13.5 | h/(mₑ c) | [F]{} |
| D_anch | 4.8526 pm | canon_lock | §3.4 | 2λ_(C,e) | anchor-derived |
| rₚ | 0.84125 fm | (predicted) | §6.3/§11.6 | D_anch/6π⁶ | [F]{} (pred.) |
| α | 2/π | analysis_lock | §5.1 | ⟨|cosθ|⟩ | [F]{} |
| δ | 1/π² | analysis_lock | §5.2 | half-wave product | [F]{} |
| νₚ | 3π⁴≈292.23 | analysis_lock | §9.4 | n-fold law [MAP] | [F]{} |
| mₚ/mₑ | 6π⁵=1836.118 | — | §13.5 | 2πνₚ | [F]{} (-19 ppm) |
| U_lat | 1958.7 GeV | — | §13.1 | hc/a | anchor-derived |
| m_H | 124.69 GeV | — | §13.3 | U_lat/5π | [F]{}/[H]{} (-0.40%) |
| A | a_med/g^* 8×10⁵ | analysis_lock | §3.4/§11.6 | jamming output; magnitude 1/g₀, anchored to A_geo=cΔ t/a | [H]{} |
| κ_bb | p_bb/p_bb⁽⁰⁾ | analysis_lock | §10.3.5 | SOC backbone occupancy ratio | [F]{}/[V]{} |
| g₀ | 2×10⁻⁷ | analysis_lock | §10.3 | microscopic gap threshold | chosen |
W.3 Gate verdicts and reproducibility artifacts (summary)
- Gate output: Only PASS/FAIL/INCONCLUSIVE are allowed. A FAIL or INCONCLUSIVE result must not be used as evidence in later sections (Chapter 0).
- Required Gate examples: G-SYM (symbols/units), G-LOCK (lock integrity), G-REG (regime), G-RECT (rectification), G-RCROSS (cross-consistency), G-REP (reproducibility) (0.2).
- Reproducibility package: The spec provides a single-snapshot sealing format that includes
manifest,checksums,registry_snapshot, execution logs, and output paths (Ch. 16).
W.3.0 Claim Tiers
This document defines “rigor” not as rhetorical strength, but as the scope of a claim and the verification duty.
That is, the stronger the conclusion, the larger the required Gate stack; without the corresponding Gate reports,
the conclusion remains automatically UNLOGGED/INCONCLUSIVE.
- Level-C0 (internal consistency / reproducibility): The LOCK→derive→Gate framework closes without internal contradiction, and reproducibility is sealed by
manifest+checksums+registry_snapshot. - Level-C1 (ideal-limit formulas / scaling reproduction): Reproduces limit forms isomorphic to standard expressions (e.g., ideal Casimir), and strictly fixes scaling (e.g., 1/d⁴) and units/dimensions. Interpretation is kept separate.
- Level-C2 (quantitative experimental comparison): Locks a specific experimental setup (geometry/materials/corrections/distance regime) and passes residual-based Gates under the same conditions.
- Level-C3 (strong cosmological conclusions): Passes the required Gate stack (time dilation / surface brightness / blurring / energy sink, etc.), qualifying conclusions such as “expansion replacement” or “no dark energy required”.
Default scope of this version
This PDF (v0.8) primarily presents conventions and derivation formulas within the Level-C0–C1 range.
To use Level-C2+ (quantitative agreement with experiments; cosmological replacement) as conclusions,
the corresponding Gate reports must be attached in the bundle and verified as PASS.
Otherwise, related sentences are treated only as hypotheses / branch examples.
W.3.1 Gate Status Summary Table (key artifacts; WPVersion)
The table below compresses onto a single page the key artifacts already appearing in the main text:
(i) which LOCK inputs are used, (ii) which Gate stack must PASS for the result to be admissible as evidence,
and (iii) where in the bundle the verdict log (evidence) must reside, so a reader can find it immediately.
PASS/FAIL/INCONCLUSIVE are confirmed only when a report exists under bundle_root/gate/reports/.
If this PDF is distributed alone without attached Gate reports, the status is shown as UNLOGGED (= no evidence files attached).
| Artifact (summary) | LOCK used (summary) | Required Gate (summary) | Status | Evidence path (standard) | |
| a (VP diameter; SI realization) | realization_lock: λ_ref, a; analysis_lock: N | G-SYM, G-LOCK, G-REG, G-NT, (G-RCROSS), (G-NUM) | UNLOGGED | gate/reports/gate_report_a.json | |
snapshot/manifest.(json|yaml) | |||||
| Δ t (time tick; realization) | realization_lock: a, c_ref; analysis_lock: A | G-SYM, G-LOCK, G-REG, G-NT, (G-RCROSS), (G-NUM) | UNLOGGED | gate/reports/gate_report_dt.json | |
gate/logs/*dt*.(log|csv) | |||||
| U_lat:=hc_ref/a (lattice unit energy) | canon_lock: h; realization_lock: c_ref,a | G-SYM, G-LOCK, G-REG, G-NT, (G-NUM) | UNLOGGED | gate/reports/gate_report_Ulat.json | |
derived/claims.(tex|json) | |||||
| rₑ=(D_anch/2)δ (electron radius) | canon_lock: D_anch; analysis_lock: δ | G-SYM, G-LOCK, G-REG, G-NT, (G-RECT), (G-NUM) | UNLOGGED | gate/reports/gate_report_re.json | |
derived/claims.(tex|json) | |||||
| mₑ (electron mass; mₑ=U_lat/S) | realization_lock: U_lat; analysis_lock: S; canon_lock: rₑ | G-SYM, G-LOCK, G-REG, G-NT, (G-RECT), (G-NUM) | UNLOGGED | gate/reports/gate_report_me.json | |
derived/tables/*mass*.csv | |||||
| mₚ (proton mass) | canon_lock: rₚ; realization_lock: U_lat; analysis_lock: Sₚ or an event-rate mapping | G-SYM, G-LOCK, G-REG, G-NT, (G-NUM) | UNLOGGED | gate/reports/gate_report_mp.json | |
derived/claims.(tex|json) | |||||
| m_H (Higgs mass; e.g., U_lat/(5π)) | realization_lock: U_lat; analysis_lock: coefficient (e.g., 5π) | G-SYM, G-LOCK, G-REG, G-NT, (G-NUM) | UNLOGGED | gate/reports/gate_report_mH.json | |
derived/claims.(tex|json) | |||||
| mₚ/mₑ (mass ratio; cross-consistency target) | analysis_lock: ν_p,can etc.; derived: mₚ,mₑ | G-SYM, G-LOCK, G-REG, G-NT, (G-RCROSS), (G-NUM) | UNLOGGED | gate/reports/gate_report_mp_me.json | |
gate/reports/gate_report_RCROSS.json | |||||
| c²=B/ρ (single signal speed; collective stiffness) | analysis_lock: jammed packing; backbone | G-REG, G-NUM, G-NT | PASS | jamming_spine_v0.4/01_stiffness_to_c2/results_bulk/bulkG.csv | |
| G_relaxed→0 at z_iso=2d=6 (zero shear reserve; five observables) | analysis_lock: relaxed-G definition | G-REG, G-NUM, G-NT | PASS | jamming_spine_v0.4/02_shear_relaxedG/results/relaxedG.csv, dos_omega_star.png | |
| forced radius rₚ=(2/π)λ_(C,p) (global attractor; F'(x^*)=-(π/2)⁵) | canon_lock: λ_(C,p); analysis_lock: α | G-REG, G-NUM | PASS | jamming_spine_v0.4/03_forced_circle_proton_radius/RESULTS_forced_circle.txt | |
| amplification A=a_med/g^* (structure parameter-free; magnitude 1/g₀, anchored to A_geo=cΔ t/a) | analysis_lock: g₀, kₙₙ | G-NUM, G-NT | PASS | jamming_spine_v0.4/05_light_emergence_quantum_D/soc_indep_summary.json | |
manifest+checksums+registry_snapshot (release integrity) | protocol_lock \ | snapshot/* (sealing specification) | G-SYM, G-LOCK, G-NT, (G-REP) | UNLOGGED | snapshot/manifest.(json|yaml|csv) |
snapshot/checksums.(txt|json) |
W.3.2 Reproducibility map: which numerals are forced, which are simulation-measured, which are inputs (v0.5.0; extended v0.6.0 with the drop-in module registry)
Several numerals in this paper are simulation measurements or calibrations that can be mistaken for fitted anchors when they appear in the same font as forced results. The map below fixes, once, the nature of each recurring numeral and the bundle path that reproduces it. Tag legend: [F]{} forced; [V]{} simulation-measured (script+seed in bundle); [H]{} calibrated/locked by a stated procedure; [O]{} back-substituted external input.| Numeral | Tag | Reproduction path (bundle) | Misreading to avoid |
| A=880918.977… | [V]/[H] | verify_amplification_A.py; soc_percolation_pinning.py (seeds logged) | measured from the lattice (a_med/g^*), not a free fit; absolute magnitude is [H]{} (A_geo=cΔ t/a, 0.16%) |
| ℓ_rot=4.8542 pm | [V] | 05_light_emergence_quantum_D/ellrot_verify.py | a selected best-avalanche from a 7% distribution (median 4.96 pm); canonical D is 2λ_(C,e), not this |
| φ_jam=0.633 | [V] | lattice_3d_jam_percolation.py | no identity claimed with 2/π=0.6366 or 632.99 nm (§11.6 non-claim note) |
| g_c=δ_eff | [V] | percolation module (Union–Find; seeds logged) | the match to δ is an output, not an input |
| κ_bb | [V] | SOC module | distinct symbol from A since v0.2.1 |
| Δ t=1.86×10⁻²¹ s | [H] | outputs/derived/dt_633.txt, dt_532.txt; gate/logs/dt_candidates.csv | locked via Δ t=Aa/c_ref with RCROSS two-wavelength sealing; not an algorithmic step |
| N=10¹² | [H] | (declared split integer) | a chosen split; no dimensionless output depends on it (§1.8.2 N-invariance) |
| g₀=2×10⁻⁷ | [H] | SOC input (declared) | chosen threshold; A's dimensionless structure is g₀-independent (g^*/g₀≈1.1–1.3) |
| c_ref (Option-B) | [H] | realization_lock (value + channel id) | input c_ref≠ output c_env=√K; their agreement is a result (§1.9 A1) |
| Ψ_yield=1.091×10⁻¹⁶ m⁻¹ | [O] | (intentionally no code) | back-substituted per body (§17.4.4 four-wall); per-body values owned by the Earth–Cosmos volume appendix (v0.6.0 handover); never a derivation |
| Tₑ≈1 s | [H]+ | electron_one_second.py | full-sim path is historical testimony (v34); residual O(1) sharpened to gate G-TE-O1 (§12, three-candidate measure table) |
| χ(633)=89.9378^(∘), χ(532)=89.8248^(∘) | [V] | 06_light_mapping_massfree/ (deterministic; output sha256 gated) | zero fit freedom; only D enters; these are the pre-registered B1 numbers |
| τ_q=1.618659959×10⁻²⁰ s | [H] | 06_light_mapping_massfree/ (README, REGISTRY_PATCH: canon_derived) | DERIVED NON-LOCK, τ_q:=D/c by definition; re-deriving c=D/τ_q is forbidden (anti-circularity); realization_lock untouched |
| absorption-rule table (A/B/C) | [V] | 07_absorption_rule_study/ (deterministic, no RNG; output sha256 gated) | LOCK exercised 2026-06-11 under operator delegation: rule B (conserving) adopted — rule A yields identically zero force (bookkeeping and mechanical engines); reduced laws remain rule-invariant upstream of the lock |
| m_q band [2.28,4.56]×10⁻³⁴ kg (128–256 eV/c²); invariant p₁^((⊕))=gm_(mathrm H)/ν_(mathrm H)=5.597×10⁻²⁹ kg m/s | [O] | 08_gravity_mapping_attempt/, 10_column_engine/ (deterministic; sha256 gated) | back-substituted via [INPUT] G/g; sphere branch only (cube retired by recovered 23-volume spec; 3 keV reading retired with engine-internal threshold); residual O(1) = anisotropy η∈[1,1.82]; gate G-GRAV-MAP; no identity with canon constants asserted or examined |
[SIM|script|seed]; an input numeral with [INPUT].
Drop-in module registry (v0.6.0). Two modules produced for this edition are
registered for the bundle. 06_light_mapping_massfree/: gate G-LIGHT-MAP-Q PASS
(deterministic, seed-free; output RESULTS.txt, 109 lines, sha256 cfa6b40b…900c);
carries the pre-registered B1 angles and the DERIVED NON-LOCK tick τ_q; the paired observation
gate G-ISO (§10.9.2) is OPEN. 07_absorption_rule_study/: R1 decision aid
(deterministic, no RNG; RESULTS sha256 c0966c7f…d6a66); LOCK pending — the
choosing act is the operator's. 08_gravity_mapping_attempt/: the light-mapping technique applied to gravity
(deterministic; RESULTS sha256 36467784…b66a); it reduces the absolute-magnitude
problem to the single scalar m_q with a registered target band (gate G-GRAV-MAP).
09_cap_calibration_attempt/: the calibration cross-check (deterministic; RESULTS
sha256 01c49327…4e73e) — O(1) cap outputs × light-derived units overshoot
g_⊕ by 20–29 orders; required suppression =G^*; Wall-1/Wall-3 magnitudes partially
derived as fall-time tick counts.
10_column_engine/: the mechanical single-column (pressing) engine
(deterministic; RESULTS sha256 a8bd09e8…8bd85) — boundary-pressing
structural theorem; demand-set arrival speed; Δ p∝ m_q; c-ceiling; 1-D supply axis
logged as confounded.
Registered-but-unbuilt items remain explicit so they cannot be mistaken for
delivered evidence: G-TE-O1 (§12, analytic task), R-OCC1–3 (§14.0.2), R1–R4 and
G-GRAV-MAP (§17.4.4). Bundle
inclusion and MANIFEST resealing follow the §16 discipline; the registry snippets ship inside the
06 module (REGISTRY_PATCH.md).
W.4 Known constraints / open items (explicit from a white-paper viewpoint)
- Distinguish reporting conventions (mapping conventions) from derivations: Some sections include the option of locking a “standard form” as a reporting/mapping convention in
analysis_lock. This must not be identified with a derived result; internal consistency within a version must be judged by Gate (e.g., the standard-form fixation of the mass ratio in §13.5). - Version discipline: Changing definitions/thresholds/meanings (e.g., diameter vs radius) after seeing results is prohibited; if necessary, handle only via LOCK versioning (Chapter 0, Chapter 1).