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Chapter 1 — Scope of Use & Dependencies


I. Scope of Use


II. Scenarios & Thresholds

Scenario

Primary quantities/metrics

Key thresholds

Notes

Timing

T_arr, Q_res

p_dim = 1.0; clock_state = locked; `

δt_abs

Imaging

ε_flux, p_dim

Paraxial: ε_flux → 0 @ O(θ^2); Δell ≤ Δell_max

Verify via conservation heatmap

Spectral

Phi, r_phi

λ_ref required; dispersion n_eff(λ) controlled

Fisher–z intervals

Mixed

Combination

All sub-chain thresholds satisfied

Cross-domain consistency

Unified display forms:
T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell ) or T_arr = ( ∫ ( n_eff / c_ref ) d ell );
Phi = ( 2π / λ_ref ) * ( ∫ n_eff d ell ).


III. Dependencies & Alignment


IV. Citations & Versioning


V. Preconditions & Compliance


VI. Outputs & Interfaces


VII. Checklist


Copyright & License (CC BY 4.0)

Copyright: Unless otherwise noted, the copyright of “Energy Filament Theory” (text, charts, illustrations, symbols, and formulas) belongs to the author “Guanglin Tu”.
License: This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0). You may copy, redistribute, excerpt, adapt, and share for commercial or non‑commercial purposes with proper attribution.
Suggested attribution: Author: “Guanglin Tu”; Work: “Energy Filament Theory”; Source: energyfilament.org; License: CC BY 4.0.

First published: 2025-11-11|Current version:v5.1
License link:https://creativecommons.org/licenses/by/4.0/