Chapter 1 Introduction & Scope
I. Abstract & Scope
This chapter establishes the applicability, out-of-scope items, and baseline assumptions of the “layered acceleration protocol” serving a unified treatment of cosmic-ray sources, GRBs, and FRBs. Formatting, numbering, and cross-volume referencing follow the unified specification: subsection titles use Roman numerals in bold; bullet items use “- ” and ordered lists use “1. ”. Inline symbols are wrapped in backticks. Any expression with division, integrals, or composite operators must add parentheses and state path gamma(ell) and measure d ell. All time-of-arrival (ToA) derivations must present both forms and record delta_form: T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell ) and T_arr = ( ∫ ( n_eff / c_ref ) d ell ). Throughout, T_fil (tension) must not be confused with T_trans (transmittance), and n (number density) must be separated from n_eff (effective refractive index). Equations, symbols, and definitions use English notation and SI units.
II. Dependencies & References
- Terms & notation: see EFT.WP.Core.Terms v1.0 P10-*.
- Minimal equations & path formulation: see EFT.WP.Core.Equations v1.1 Ch.2 S20-*.
- Metrology & uncertainty: see EFT.WP.Core.Metrology v1.0 Ch.1–3.
- Physical ontology: see EFT.WP.Core.Threads v1.0, Core.Sea v1.0, Core.Density v1.0, Core.Tension v1.0.
- Timebase & path corrections: see EFT.WP.Packets.Light v1.0, EFT.WP.Metrology.TimeBase v1.0, EFT.WP.Metrology.PathCorrection v1.0.
- Inference & falsification: see EFT.WP.Methods.Inference v1.0, EFT.WP.Methods.Falsification v1.0.
- Data & reproducibility: see EFT.WP.Data.DatasetCards v1.0, EFT.WP.Methods.Repro v1.0.
III. Normative Anchors (added in this chapter)
- P10-1 (Scope): The layered acceleration protocol covers energy-gain processes driven by reconnection and shear and their coupling to escape/loss/transport, delivering cross-source, testable predictions.
- P10-2 (Non-Targets): Diffusive shock acceleration (DSA) and purely second-order turbulent acceleration are used only as comparators and limiting cases; equivalence and degeneration conditions are given in Chapter 6.
- P10-3 (Observables Mapping): Targets include dN/dE, alpha_spec, Pi, DM, and T_arr. Any T_arr-related derivation or data contract must explicitly carry gamma(ell) and d ell and record delta_form.
- P10-4 (Notation Discipline): Global, cross-chapter symbols are centralized in “Appendix A”; chapter-local temporary symbols are listed in a local table at chapter start and must not leak across chapters.
IV. Body Structure
I. Background & Problem Statement
- Fragmentation in traditional treatments (DSA, second-order turbulence, reconnection/shear) lacks a cross-source validation aperture.
- Objective: adopt a layered (geometry–dynamics–statistics) view, folding reconnection and shear into a single minimal description closed with common transport/loss terms, directly coupling to observation and inference workflows.
- Notation discipline: do not mix T_fil with T_trans; keep n distinct from n_eff; all equations, symbols, and definitions use English notation only.
II. Key Equations & Derivations (S-series)
- No new minimal equations are introduced here; the path/ToA formulations of Core.Equations v1.1 Ch.2 S20-* are the unified baseline for this volume.
- Subsequent chapters provide closures and approximations for reconnection (S30-), shear (S40-), spectrum formation (S50-), and transport & losses (S52-).
III. Methods & Flows (M-series)
No concrete flows in this chapter; methods are instantiated later via M30-* / M40-* / M50-* / M52-* / M60-* …, aligned with Methods.Inference v1.0 and Methods.Repro v1.0.IV. Cross-References within/beyond this Volume
- Path & ToA: see EFT.WP.Core.Equations v1.1 Ch.2 S20-1 (strong form) / S20-2 (weak form).
- Metrology chain: see EFT.WP.Core.Metrology v1.0 check_dim; timebase and path corrections in Metrology.TimeBase v1.0 and Metrology.PathCorrection v1.0.
- Ontology: Threads/Sea/Density/Tension volumes are prerequisites for geometry and constraints.
V. Validation, Criteria & Counterexamples
- Positive criteria: spectral-index ranges and break energies, consistent polarization patterns, frequency-dependent sign and amplitude of T_arr residuals.
- Negative criteria: if k_STG → 0, beta_TPR → 0, or gamma_Path → 0 while fit quality does not degrade, the corresponding mechanism is falsified; record at text and data-contract levels.
- Power analysis & sample size: follow Methods.Falsification v1.0 and pair with Data.Benchmarks v1.0.
VI. Summary & Handoff
- This chapter completes scope, assumptions, and dependency closure. Chapter 2 will lock symbols, units, and the “do-not-confuse” list, defining the division between the local symbol table and the centralized appendix (P12-*).
V. Figures & Tables (planned for this chapter)
- Fig. 1-1 Overview of the layered acceleration protocol (reconnection/shear/transport coupling schematic).
- Tab. 1-1 Local symbols & units (centralized table in Appendix A).
- Tab. 1-2 Dependency & reference inventory (volume, version, anchor, purpose).
- Tab. 1-3 Target vs. non-target comparison (criteria, limits, degeneration).
VI. Change Log & Compatibility (CL-)
- CL-ASTROACC-20250914-001: Initialize Chapter 1 (scope, assumptions, dependencies); establish versioned references to Core.Terms v1.0, Core.Equations v1.1, Core.Metrology v1.0.
- Compatibility: no new S/M/I anchors; backward-compatible with v1.*. Any later addition of S10-* or M10-* will be recorded via incremental CL entries with impact and rollback conditions.