36-EFT.WP.EDX.Current v1.0 | Chapter 1 — Scope & Aims

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Chapter 1 — Scope & Aims

I. Chapter Objectives & Positioning
This chapter fixes the object of study, boundaries, and evaluation criteria of the volume, clarifies the interfaces with classical electrodynamics, and states dependencies on EFT core volumes (Threads/Sea/Tension) together with the mandatory cross-reference dialect. Cross-volume citations must use the fixed pattern “work name + version + anchor (P/S/M/I)” with preference for article-level anchors; symbols and formulae follow the unified rules of Comprehensive Template v0.1 and Citation & Cross-Reference Spec v0.1.

II. Background & Motivation

1. Conventional descriptions of impedance and current transport rely on localized approximations of medium parameters and boundary conditions. In high-gradient, strongly inhomogeneous, and path-dependent regimes these approximations produce redundancy and obscure parameter couplings.
2. This volume introduces the T_fil-driven tension-mediated relay picture to describe the generation, sustainment, and propagation of J(x,t) through complex media, providing a set of minimal equations and experimental criteria directly comparable to the classical framework.
3. The shared “time-of-arrival” term adopts two equivalent dialects with explicit path gamma(ell) and measure d ell:
   • Constant factored out: T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell )
   • General form: T_arr = ( ∫ ( n_eff / c_ref ) d ell )
     The chosen dialect must be recorded via delta_form; dimensional checks align with Core.Metrology. See EFT.WP.Core.Equations v1.1 Ch.2 S20-; EFT.WP.Core.Metrology v1.0 Mx-.

III. Problem Domain & Interfaces

• Interface to classical electrodynamics: At the macroscopic measurement layer, map I(t), V(t), and Z(omega) to the T_fil landscape without altering local continuity and power balance; departures concentrate in path dependence and time-varying media. See EFT.WP.Core.Equations v1.1 S20-*.
• Interface to EFT ontology: The definition and constraints of T_fil come from the ontology volumes; this work does not re-derive them and cites as needed. See EFT.WP.Core.Tension v1.0 S72-*; EFT.WP.Core.Threads v1.0; EFT.WP.Core.Sea v1.0.
• Terminology & symbols: Unified English symbols with inline backticks; T_fil (tension) and T_trans (transmittance) must not be conflated; n and n_eff are strictly distinguished. See Comprehensive Template v0.1; Citation & Cross-Reference Spec v0.1.

IV. Objectives & Testable Contributions

• Establish the minimal equation set for the tension-mediated relay (S40-*) with stated domains of validity, supporting one-to-one comparisons to RLC/telegrapher models. See EFT.WP.Core.Equations v1.1 S20-*.
• Provide the impedance–tension landscape mapping and its divergence from classical predictions (S50-*), including frequency-domain phase and path nonlocal corrections.
• Publish the metrology and experimental stack (M10-* / M20-*) with synchronization constraints, uncertainty budgets, and positive/negative criteria.
• Publish the implementation-binding interfaces (I30-* / I40-*) to couple tension landscapes with netlists/layouts for simulation and inversion.
• Unify engineering practice for the two T_arr dialects in current/signal contexts and the delta_form recording rule, ensuring cross-volume comparability. See Citation & Cross-Reference Spec v0.1.

V. Scope

• Media: Metallic conductors, semiconductor interconnects, composite media, and near-field coupling structures; engineering objects from macro-scale down to sub-millimeter.
• Band: DC to upper microwave; higher-frequency cases with dominant radiation and strong dispersion are delegated to EFT.WP.EDX.HighSpeed v1.0.
• Phenomena: Steady state and slowly time-varying regimes, inhomogeneous paths, boundary/interface coupling, phase and amplitude transfer within coherence windows.
• Observables: I(t), V(t), Z(omega), path-dependent delay and phase; all key equations must pass check_dim. See EFT.WP.Core.Metrology v1.0 Mx-*.

VI. Out of Scope

• Strong-radiation far field and antenna efficiency (delegate to EDX.HighSpeed v1.0 and Packets.Light v1.0).
• Pure plasma confinement regimes (delegate to Plasma.Confinement v1.0).
• EMI/EMC engineering procedures in detail (delegate to EDX.EMI v1.0).
• Foundational ontology derivations not directly measurable in engineering (handled by Core volumes; this work cites conclusions and constraints only).

VII. Criteria & Evaluation Modality

• Model comparison: Evidence-based comparison on predictive deltas, including path nonlocal corrections and coherence-window assessment.
• Falsification lines: Operational positive/negative criteria and minimal sample sizes targeting S40-* / S50-*.
• Uncertainty budgets: Separate synchronization, instrumentation, path correction, and modeling components; adopt composition rules and gating thresholds. Workflow and dialects interface with Methods.* / Metrology.*. See Comprehensive Template v0.1 §II–III.

VIII. Data & Reproducibility Requirements

• Data contracts: I/O structures, minimal metadata fields, and audit-trail export; dataset and pipeline cards are provided in appendices as templates.
• Reproducibility: Release regression cases and thresholds; provide cross-platform environment locks and versioned exports. Interfaces to EFT.WP.Core.DataSpec v1.0, Methods.Repro v1.0, and Data.Pipeline v1.0. See Comprehensive Template v0.1 §II.

IX. Document Map
Chapter II fixes terminology and symbols; Chapters III–VI introduce axioms, minimal equations, the relay mechanism, and the impedance reinterpretation; Chapters VII–XI publish boundary-condition interfaces, path/arrival dialects, metrology & experiments, and implementation/inversion; Chapters XII–XIV address high-speed interconnects, EMI/EMC, and the simulation stack; Chapters XV–XVI cover data/reproducibility and engineering rules; appendices publish the symbol table, API prototypes, and dataset/pipeline cards. Structure and numbering follow the unified chapter template. See Comprehensive Template v0.1 §I.

X. Mandatory Rules for Citation & Typesetting (Execution Dialect)

• Citations: Always “work + version + anchor”; e.g., See "EFT.WP.Core.Equations v1.1" Ch.2 S20-1. No short codes or aliases; cite at article-level whenever possible.
• Symbols & formulae: English only, inline with backticks; any division/integral/composed operator must use parentheses and declare gamma(ell) and d ell; use unified names c_ref, n_eff, T_fil, etc.
• Dimensional checks & records: Key equations must record check_dim pass; wherever T_arr appears, record delta_form. These are hard publishing gates. See Citation & Cross-Reference Spec v0.1 and Comprehensive Template v0.1.

XI. Audience & Prerequisites

• Audience: Researchers and engineers in electromagnetics and electronics, SI/EMC engineers, metrology and test teams, and software/algorithm developers.
• Prerequisites: Classical electrodynamics, network parameters and transmission-line theory, statistics and uncertainty, basic signal processing and path-integral representations. Essential terms and equations are anchored at first use with cross-volume references. See EFT.WP.Core.Terms v1.0 P10-; EFT.WP.Core.Equations v1.1 S20-.

XII. Chapter Summary
This chapter sets motivation, domain, interfaces, and boundaries; it states the volume’s testable objectives and execution dialect. The following chapters expand under the fixed numbering/template, enabling cross-volume consistency and a verifiable, engineering-ready alternative to the classical framework.