Simulation Pipeline

Status Boundary

This work is part of the authorial PHYSICA / Science of Fabric Reality corpus. It is presented as a research framework, formalization target, computational model, or theoretical synthesis unless explicitly marked otherwise. It is not presented as accepted physics, external consensus, or experimentally confirmed science.

1. Scientific Purpose

Defines the visual, algorithmic, and structural requirements for representing the Simulation Pipeline, simulation contract schemas, and numerical lattice convergence verification within the formal framework.

2. Concepts Visualized

• Simulation Contract Architecture · Four-stage computational pipeline:$$\text{1. Boundary Setup }({\mathcal{B}}_0)⟶\text{2. Graph Discretization }({\mathcal{G}}_{\mathrm{\Delta }x})⟶\text{3. Symplectic Integrator }({\hat{U}}_{\mathrm{\Delta }t})⟶\text{4. Convergence Audit }(\mathrm{\Delta }\mathcal{I}<ϵ)$$
• Null Test & Permutation Verification · Rigorous permutation testing against scrambled surrogates confirming baseline $p_{\text{null}}=0.62$.
• Invariant Preservation Telemetry · Real-time tracking of symplectic conservation laws and Landauer dissipation bounds.

3. Mathematical Symbols & Grounding

• $\text{SimContract}(S)$: Formal execution contract defining grid bounds, tolerances, and seed hashes.
• $\mathrm{\Delta }t,\mathrm{\Delta }x$: Temporal update tick and spatial lattice constant.
• ${\rho }_{j,k}\le {\tau }_j$: Parameter identifiability threshold.
• $p_{\text{null}}$: Canonical null-hypothesis permutation probability ($0.62$).

4. Required SVG Layers & Coordinate Geometry

• Coordinate System: viewBox="0 0 800 500", responsive SVG container with fluid scaling.
• Layer 1: base-topology:
  • Horizontal flowchart sequence consisting of 4 rounded computation stage blocks.
  • Verification harness envelope surrounding stages in var(--vp-c-border).
• Layer 2: interaction-vectors:
  • Direct feedforward execution pipeline arrows and feedback error-correction loops.
  • Accent colors transitioning across computational stages (var(--vp-c-brand-1) to var(--vp-c-brand-2)).
• Layer 3: labels-and-nodes:
  • Execution stages, runtime diagnostics, and tolerance bounds bound to var(--vp-c-text-1).
  • Accessible screen reader title and <desc> descriptions.

5. Caption & Interpretation Boundary

Figure: Schematic representation of the computational simulation contract and numerical verification pipeline, illustrating automated lattice execution and null-test validation.

NOTE

This figure serves as a formalization target and visual aid for the authorial model. It must not be interpreted as empirical proof or accepted physics.

6. Canonical Continuations

Direction	Target Resource	Purpose	Formal Code Link
Simulation Atlas	Simulation Atlas & Schema	Canonical simulation contracts & status	Fabrica.Fabricon
Invariant Harness	Invariant Preservation Check	Numerical symplectic verification	Fabrica.InvariantEngineering
Multiscale Solver	FQFT Scale Transition Model	Multiscale lattice solver	Fabrica.FQFT
Figures Atlas	Visual Cartography Atlas	Full figure programs index	Visual Cartography
Formalization Gateway	Formalization Gateway	Lean 4 Interactive Proof Suite	Fabrica.PGP

EXTERNAL REFERENCE