Canvas Model — Foundations with Provenance

A single authoritative statement of what the Canvas Model assumes, what tools it has, and where every element came from. Built to prevent the failure mode that motivated it: compression losing content silently. Motivating evidence: Three separate compressions in the corpus lost real content: 1. ToE8 dropped EMG 20's waveform taxonomy entirely (the primitive→waveform assignments and the derivation of the UWE from weighted primitives).2. The six core equations were compressed to three pillars, dropping back-reaction (Eq. 5, the h_{ijk} field-field coupling) and the charge value q_s = 0.3. §15's crossing calculus introduced machinery — the Type A/B/C classification and the threshold factors 1/3, 1/5, 1/X — that appears nowhere in EMG 1–20. Audit found three of four factors asserted, role-inconsistent, or reverse-engineered. The mass sector's failure traces directly to (2) and (3). This document exists so that does not recur. Provenance tags: Every element below carries one: Tag Meaning[PRIM] Primitive. Assumed, not derived.[DER] Derived. Derivation exists and is cited.[SUPER] Superseded. Retained as historical record, not in current use.[UNUSED] Present in the foundations, available, not yet deployed in any derivation.[INVENTED] Appears in derived documents only; no foundational source. Requires rebuild or removal. The [UNUSED] tag is the one that would have prevented the mass-sector failure. Back-reaction was never wrong — it was forgotten. The twelve postulates (current form) — the operative postulate set: The eight primitives: · P1: Order (Dynamic, before/after sequence)· P2: Amplitude (Dynamic, Planck scale)· P3: Acceleration (Dynamic, second derivative)· P4: Polarity (Dynamic, sign function)· P5: Chirality (Property, left-handed)· P6: Dimension (Property, three spatial axes)· P7: Angle (Property, perpendicular)· P8: Charge (Property, coupling to 1, 2, or 3 axes) P8 discrepancy — flagged: Genesis states "coupling to 1, 2, or 3 axes." EMG 1 Eq. (6) states q_s \in \{0,1,2,3\} — four values. The value q_s = 0 (no coupling to any spatial axis, i.e. a gauge singlet — the right-handed neutrino) is present in the foundations and absent from the current statement. [UNUSED] — restore or explain its omission. The six core equations — the sanctioned toolkit: 1. Canvas wave equation [PRIM]2. Threshold condition [PRIM] — pairwise, exactly two fields3. Emergent spacetime lattice [PRIM]4. Quantization [PRIM]5. Back-reaction [PRIM] [UNUSED] — dropped in the six→three compression and never used. The second source term \sum_{j,k} h_{ijk} \Phi_j \Phi_k is a field-specific coupling — the only place in the foundations where couplings depend on which fields are involved. The mass sector's unsolved problem is precisely the absence of a derived source of sector dependence. This is the leading candidate and it has not been tried.6. Spatial charge and gauge symmetry [PRIM] — with q_s \in \{0,1,2,3\} Invented machinery — requires rebuild or removal: Item Where VerdictType A/B/C classification Handover §15.1 [INVENTED] — zero occurrences across EMG 1–20. Remove.Threshold factor 1/3 (Order) Handover §15.3 [INVENTED] — internally inconsistent. Generates the falsified universal m_3/m_2 = 3.Threshold factor 1/5 (Amplitude) Handover §15.5 [INVENTED] — role-inconsistent.Threshold factor 1/X (Polarity) Handover §15.3 [INVENTED] — reverse-engineered by elimination.n-fold crossing products Handover §15.4 [INVENTED] — foundational threshold Eq. (2) is pairwise. Composition rule for n > 2 not derived. Retained from the audit: \pi/2 for Acceleration is not invented. It is the normalisation constant making \langle|\Phi_{\sin}|\rangle = 1, independently confirmed by the attractor derivation. [DER] Rebuild status — mass sector: Since Eq. (2) is pairwise, a fermion is a two-field crossing, and generations are modes of one field pair rather than products of increasing primitive counts. With mode overlap \sim e^{-\alpha n^2}, the predicted hierarchy shape is \ln(m_2/m_1)/\ln(m_3/m_2) = (n_1^2-n_2^2)/(n_2^2-n_3^2). For modes (3,2,1): predicted 5/3 = 1.667; observed (charged leptons) 1.889. 13.3% deviation, no free parameters. For comparison, §15's calculus predicted m_3/m_2 = 3 universally against observed 16.8, 44.9, 136 — wrong by factors of 5.6–45. Still unsolved: sector dependence. The rebuild predicts identically for quarks and leptons. Next step: deploy h_{ijk} from Eq. (5) — the field-specific coupling that the six→three compression dropped. Rules for future compression: 1. Never compress without a map.2. Tag anything dropped as [UNUSED], not deleted.3. Any construct without a foundational source is [INVENTED] and must be derived or removed.4. Postulate sets must distinguish primitive from derived.5. When a compressed form fails, return to the full toolkit before inventing. Immediate actions: 1. Resolve q_s = 0 — restore to P8 or document its exclusion.2. Audit postulates 7, 8, 9, 13 — absent from the Genesis compression map.3. Deploy h_{ijk} — the leading candidate for mass-sector sector dependence, never tried.4. Remove Type A/B/C and the invented threshold factors, or derive them from Eqs. (1)–(6).5. Derive the n-fold composition rule for the pairwise threshold, or restrict the calculus to pairwise crossings. Keywords: canvas model, provenance, foundations, back-reaction, mass sector, six core equations, compression audit, unused machinery, invented machinery, rebuild, rules for compression