Map: Predictions Dependencies of the Canvas Model

This document maps every prediction of the Canvas Model to its axiomatic dependencies using a formal dependency notation. The map reveals the logical structure of the framework: which axioms are load-bearing, which predictions are independent, and where the framework's falsifiability resides.

What this document provides:

· A complete catalog of 165 predictions organized into two categories: 111 known numbers reproduced (from the fine-structure constant to the Hawking temperature) and 54 novel predictions (from the \pi/2 waveform asymmetry to the Hubble tension reduction).· A formal dependency notation linking each prediction to specific primitives (P1–P8) and pillars (I–IV):  · P1 (Order): Primitive before/after sequence  · P2 (Amplitude): Primitive field magnitude scale  · P3 (Acceleration): Primitive second derivative  · P4 (Polarity): Primitive sign function  · P5 (Chirality): Primitive handedness (h = +1)  · P6 (Dimension): Primitive spatial dimension count (n = 3)  · P7 (Angle): Primitive axis orthogonality (\theta = \pi/2)  · P8 (Charge): Primitive coupling to spatial axes  · I (UWE): Unified Wave Equation  · II (Threshold): Threshold Condition  · III (Eigenvalue): Eigenvalue Equation  · IV (Feed): Feed (Steering) Equation· An analysis of the dependency structure showing axiom frequency across all predictions. Pillar II (Threshold Condition) appears in over 100 predictions—it is the single most load-bearing axiom. P6 (Dimension) and P8 (Charge) are the most important primitives. P5 and P7 appear almost exclusively in the \pi/2 \to J \to \eta chain, making that chain the most constrained and most falsifiable part of the framework.

Examples of predictions and their dependencies:

· Number of spatial dimensions (d = 3): P2, P6, II· Fine-structure constant (\alpha^{-1} \approx 137): P8, II· Waveform asymmetry (T_{\text{rise}}/T_{\text{fall}} = \pi/2): P5, P7, I, IV· No fourth generation of fermions: P6, P8, III· Hubble tension reduction (\Delta H_0 \approx +3 to +5 km/s/Mpc): IV· Truth is spectral, not Boolean (CTM axiom): I–IV

Why this matters:

The dependency map makes the Canvas Model's logical structure explicit and falsifiable. If the \pi/2 asymmetry is confirmed experimentally, it validates P5, P7, I, and IV simultaneously. If falsified, it eliminates them all. This is the framework's testing ground. The map also reveals which axioms are load-bearing and where the framework's predictions are independent.

Keywords: Canvas Model, dependency map, predictions, primitives, pillars, falsifiability, threshold condition, dimensionality, charge, chirality, angle, waveform asymmetry, known numbers reproduced, novel predictions