01-EFT.WP.Core.Terms v1.0 | Appendix A — Term Index

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Appendix A — Term Index

I. Usage Notes & Sorting Rules

• Entries are ordered alphabetically by English letter. Each entry includes: code, English definition (introduced with def=), type, dim where necessary, ref (an anchor consumable by resolve_ref), and first (the first formal location of appearance).
• Formulas, symbols, and definitions are all in English and plain text; all inline quantities follow the established notation rules. Any expression involving a path and measure must make gamma(ell) and d ell explicit.
• Page numbers are auto-generated by the layout engine from anchors. Cross-volume citations use the fixed format, e.g., Core.Terms:Ch3:Fields or P70-4.

II. Alphabetical Index (A–Z)

A

• add_alias — def= register an alias that maps to a canonical symbol; type=api; ref: I10-2; first: Core.Terms:Ch8:I10-2
• approx — def= textual mark for numerical approximation; type=notation; ref: Ch1:Notation; first: Core.Terms:Ch1:Notation
• arrival_time(n_eff_path, ds, c_ref) — def= discrete implementation of T_arr integral; type=api; ref: I10-5, P70-4; first: Core.Terms:Ch8:I10-5
• avg_gamma[f] — def= ( 1 / L_gamma ) * ( ∫_gamma f d ell ); type=operator; dim=dim[f]; ref: Ch5:PathStats; first: Core.Terms:Ch5:Path
• avg_t[f; Δt] — def= time-windowed mean over window Δt; type=operator; dim=dim[f]; ref: Ch5:Stats, P70-6; first: Core.Terms:Ch5:Stats
• avg_V[f; V=Ω] — def= volume mean over region Ω; type=operator; dim=dim[f]; ref: Ch5:Stats; first: Core.Terms:Ch5:Stats

C

• c_ref — def= reference upper bound for propagation speed; type=constant; dim=[L T^-1]; ref: Ch4:c_ref, P70-4; first: Core.Terms:Ch4:Refs
• check_dim(expr) — def= return dimension string of expr; type=api; ref: I10-3; first: Core.Terms:Ch6:I10-3
• cov_t[f,g; Δt] — def= time-windowed covariance; type=operator; dim=dim[f] dim[g]; ref: Ch5:Stats; first: Core.Terms:Ch5:Stats
• curl[F] — def= spatial curl; type=operator; dom=F: R^3→R^3; rng=R^3; ref: Ch5:SpatialOps; first: Core.Terms:Ch5:Spatial

D

• d ell — def= path measure (arc-length differential); type=measure; dim=[L]; ref: Ch3:Paths, P70-3; first: Core.Terms:Ch3:Paths
• Density — def= abstract density object in core vocabulary; type=object; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects
• dim[X] — def= dimension operator returning [L^a T^b M^c]; type=notation; ref: Ch6:Dimensions; first: Core.Terms:Ch6:Dim
• div[F] — def= spatial divergence; type=operator; dom=F: R^3→R^3; rng=R; ref: Ch5:SpatialOps; first: Core.Terms:Ch5:Spatial
• D_ell f — def= directional derivative along gamma(ell); type=operator; ref: Ch5:Path; first: Core.Terms:Ch5:Path

E

• e — def= elementary charge unit used for normalization; type=constant; dim=[I T] (system-dependent); ref: Ch4:Refs; first: Core.Terms:Ch4:Refs
• export_terms(format="yaml") — def= export registered terms as a list; type=api; ref: I10-7; first: Core.Terms:Ch8:I10-7

G

• gamma(ell) — def= integration path parameterized by arc length ell; type=path; ref: Ch3:Paths, P70-3; first: Core.Terms:Ch3:Paths
• gamma_ref(ell) — def= canonical calibration path; type=path; ref: Ch4:GammaRef; first: Core.Terms:Ch4:GammaRef
• grad[f] — def= spatial gradient; type=operator; dom=f: R^3→R; rng=R^3; ref: Ch5:SpatialOps; first: Core.Terms:Ch5:Spatial

H

• hat_ — def= prefix for estimator notation; type=notation; ref: Ch6:Scaling; first: Core.Terms:Ch6:Scaling

I

• IRef — def= opaque identifier for registered items; type=meta; fields={id, version, hash, created_at}; ref: Ch8:Conventions; first: Core.Terms:Ch8:Conventions

K

• k_T — def= conversion coefficient between tension scale and effective mass/energy scale; type=constant; ref: Ch4:k_T; first: Core.Terms:Ch4:k_T

L

• lap[f] — def= Laplacian = div[grad[f]]; type=operator; ref: Ch5:SpatialOps; first: Core.Terms:Ch5:Spatial
• L — def= locking loop length (topological length); type=scalar; dim=[L]; ref: Ch2:Fields; first: Core.Terms:Ch2:Fields
• L_gamma — def= ∫_gamma 1 d ell (path length); type=scalar; dim=[L]; ref: Ch3:Paths; first: Core.Terms:Ch3:Paths
• L0 — def= reference length scale for non-dimensionalization; type=constant; dim=[L]; ref: Ch6:ScalingB; first: Core.Terms:Ch6:Scaling

II. Alphabetical Index (A–Z) — continued

M

• m_ref — def= reference mass scale; type=constant; dim=[M]; ref: Ch4:Refs; first: Core.Terms:Ch4:Refs

N

• n(x,t) — def= particle number density; type=field; dim=[L^-3] (system-dependent); ref: Ch2:Fields, P70-2; first: Core.Terms:Ch2:Fields
• n_eff(x,t) — def= effective refractive index; type=field; dim=dimensionless; ref: Ch3:Fields, P70-4; first: Core.Terms:Ch3:Fields
• normalize_symbol(token) — def= map token to canonical symbol; type=api; ref: I10-2; first: Core.Terms:Ch8:I10-2

P

• p(x,t) — def= unit-norm orientation vector field; type=field; constraint=|p|=1; ref: Ch2:Fields; first: Core.Terms:Ch2:Fields
• Pi_i — def= i-th Buckingham–Pi group; type=dimensionless group; ref: Ch6:PiGroups; first: Core.Terms:Ch6:Pi
• P70-1 … P70-6 — def= chapter-7 mandatory postulates on ambiguity prevention; type=postulate; ref: Ch7:P70; first: Core.Terms:Ch7:Postulates

R

• register_term(...) — def= register a term with code/type/unit/definition; type=api; ref: I10-1; first: Core.Terms:Ch8:I10-1
• register_unit(...) — def= register a unit with base/scale/dim; type=api; ref: I10-3; first: Core.Terms:Ch8:I10-3
• render_expr(expr, "text") — def= render an expression in textual style; type=api; ref: I10-4; first: Core.Terms:Ch8:I10-4
• resolve_ref(ref) — def= resolve cross-volume anchors; type=api; ref: I10-6; first: Core.Terms:Ch8:I10-6
• rho(x,t) — def= mass density field; type=field; dim=[M L^-3]; ref: Ch3:Fields; first: Core.Terms:Ch3:Fields

S

• Sea — def= background medium object of the weave system; type=medium; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects
• sim — def= textual mark for similarity by dimensional analysis; type=notation; ref: Ch1:Notation; first: Core.Terms:Ch1:Notation
• STG — def= statistical tension gravity (effective statistical effect); type=object; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects

T

• T0 — def= reference tension scale; type=constant; ref: Ch6:ScalingC; first: Core.Terms:Ch6:Scaling
• t0 — def= reference time scale; type=constant; dim=[T]; ref: Ch6:ScalingA; first: Core.Terms:Ch6:Scaling
• T_arr — def= ( ∫_gamma ( n_eff / c_ref ) d ell ); type=scalar; dim=[T]; ref: Ch3:T_arr, P70-4; first: Core.Terms:Ch3:T_arr
• T_arr_ref — def= ( ∫_{gamma_ref} ( n_eff / c_ref ) d ell ); type=scalar; dim=[T]; ref: Ch4:GammaRef; first: Core.Terms:Ch4:GammaRef
• T_fil(x,t) — def= intrinsic tension field of the weave; type=field; ref: Ch3:Fields, P70-1; first: Core.Terms:Ch3:Fields
• T_trans — def= transmission coefficient (not tension); type=scalar; ref: Ch7:Conflicts, P70-1; first: Core.Terms:Ch7:Conflicts
• TBN — def= tension background noise; type=object; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects
• Tension — def= abstract tension object in core vocabulary; type=object; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects
• TensionGrad — def= gradient-like descriptor of tension field; type=object/derived; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects
• TensionPot — def= potential-like descriptor of tension field; type=object/derived; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects

W

• WavePacket — def= localized wave packet entity; type=object; ref: Ch2:Objects; first: Core.Terms:Ch2:Objects
• w — def= winding number; type=scalar (integer); ref: Ch2:Fields; first: Core.Terms:Ch2:Fields

Other prefixes & marks

• bar_ — def= prefix for non-dimensionalized variables; type=notation; ref: Ch6:Scaling; first: Core.Terms:Ch6:Scaling
• tilde_ — def= prefix for perturbation variables; type=notation; ref: Ch6:Scaling; first: Core.Terms:Ch6:Scaling
• def= — def= sign marking a definition; type=notation; ref: Ch1:Notation; first: Core.Terms:Ch1:Notation

III. Prohibited & Conflicts (Indexed Rules)

• Prohibited symbols (must not be registered as terms or aliases): "c", "T", "n"; ref: P70-1, P70-2, P70-4.
• Conflict pairs (mutually exclusive): { "T_fil", "T_trans" }, { "n_eff", "n" }, { "c_ref", "c_like" }; co-appearance in the same scope triggers R1/R2 (see Ch7:Rules).

IV. Reverse Index (by Chapter of First Appearance)

• Ch2 Basic Objects & Roles
  Thread, Sea, Density, Tension, TensionGrad, TensionPot, WavePacket, STG, TBN, p(x,t), L, w
• Ch3 Fields & Paths
  T_fil(x,t), rho(x,t), n(x,t), n_eff(x,t), gamma(ell), d ell, L_gamma, T_arr
• Ch4 Constants & Baselines
  c_ref, k_T, m_ref, e, gamma_ref(ell), T_arr_ref
• Ch5 Operators & Statistics
  grad[f], div[F], curl[F], lap[f], avg_t[•], avg_V[•], avg_gamma[•], var_t[•], cov_t[•], xcorr_t[•], D_ell f
• Ch6 Dimensions & Units
  dim[X], [L], [T], [M], L0, t0, T0, bar_, tilde_, hat_, Pi_i
• Ch7 Ambiguity Avoidance
  P70-1 … P70-6, T_trans, c_like (conflict placeholder only, not usable)
• Ch8 Implementation-Binding Interfaces
  register_term, add_alias, normalize_symbol, register_unit, check_dim, validate_expr, render_expr, arrival_time, resolve_ref, export_terms, IRef

V. Quick Lookup Tips

• Arrival-time related: search T_arr, n_eff, c_ref, gamma(ell), d ell, avg_gamma; adhere to P70-3, P70-4, P70-5.
• Non-dimensionalization mappings: search L0, t0, T0, bar_, Pi_i; see Ch6:ScalingA/B/C and I10-3.
• Implementation interfaces: search I10-*; see Ch8 for signatures and the error-code catalog.
• 。