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Appendix B. Implementation Binding & Function Prototypes
I. Goals & Coverage
- Binding/implementation scope: I30-HF (layout–path–mode binding), I40-HF (S↔Z / 3D-EM co-sim), Methods.SimStackHF (simulation stack), Mx-* (priors/likelihood/evidence/inference), M10-HF (metrology & alignment).
- Mandatory arrival dialect (two equivalent forms; path/measure explicit; record delta_form):
- Constant-factored: T_arr = ( 1 / c_ref ) * ( ∫ n_eff d ell )
- General: T_arr = ( ∫ ( n_eff / c_ref ) d ell )
- Hard release gates: check_dim = pass, passivity (Re{Z_eft} ≥ 0), KK_consistency = pass, two-dialect T_arr agreement (≤ u(T_arr)).
II. Namespaces & Versioning
- Namespaces:
- edx.highspeed.binding (I30-HF)
- edx.highspeed.circuit (I40-HF)
- edx.highspeed.simstack (Methods.SimStackHF)
- edx.highspeed.inference (Mx-*)
- edx.highspeed.metrology (M10-HF)
- Version policy: api_version: "1.0" (semver); all responses attach {api_version, impl_version, checksum}.
III. Common Data Structures (minimal set)
types:
PathSegment:
fields: {layer:str, len_m:float, n_eff:float, neigh:str}
PathSpec:
fields: {id:str, segments:list[PathSegment], weight_init:float} # 0..1
ModeSpec:
fields: {name:str, Zc_ohm:list[float], alpha_per_m:list[float], beta_per_m:list[float]}
ArrivalRecord:
fields:
{form:enum["n_over_c","one_over_c_times_n"], gamma:"explicit", measure:"d_ell",
c_ref:float, Tarr_s:float, u_Tarr_s:float, delta_form:str}
QAGates:
fields: {check_dim:enum["pass","fail"], passivity:enum["pass","fail"], KK:enum["pass","fail"]}
Ports: {names:list[str], zref_ohm:list[float]}
Deemb: {method:str, version:str, artifact:str, baseline_id:str}
Sync: {ref:str, scheme:str, dt_sync_s:float}
BindingHF: {id:str, paths:list[PathSpec], modes:list[ModeSpec]}
Weights: {w:map[(path_id,mode)->list[float]]} # w_{p,m}(ω)
Grid: {freq_grid_Hz:list[float]}
MixedMode: {enabled:bool, T_mm:str, Z0_mm_ohm:list[float]}
IV. I30-HF — Layout–Path–Mode Binding Prototypes
edx.highspeed.binding:
- id: "I30-HF.bind_layout_hf"
proto: "bind_layout_hf(layout:any, stackup:any, returns:any, constraints:any) -> BindingHF"
requires: ["explicit path segmentation with n_eff(seg)", "return/bridge annotations"]
qa: ["check_dim"]
- id: "I30-HF.mode_project"
proto: "mode_project(dataset:any, M_omega:any) -> x_m"
notes: ["conserve power"]
- id: "I30-HF.mode_merge"
proto: "mode_merge(x_m:any, rules:any) -> dataset'"
qa: ["passivity","KK"]
- id: "I30-HF.path_correct_hf"
proto: "path_correct_hf(dataset:any, binding:BindingHF, arrival:ArrivalRecord) -> aligned"
post: ["write arrival; two-dialect T_arr consistency check"]
V. I40-HF — S↔Z / Co-Simulation Prototypes
edx.highspeed.circuit:
- id: "I40-HF.map_S_to_Z"
proto: "map_S_to_Z(S:any, Znorm:list[float], mode:enum['single','mixed'], T_mm?:any, Z0_mm?:any) -> {Z_eft:any, argZ:list[float], Zc_ohm:list[float], qa:QAGates}"
- id: "I40-HF.em_port_align"
proto: "em_port_align(em:any, Znorm:list[float], T_mm?:any) -> S_ren:any"
- id: "I40-HF.cosimulate"
proto: "cosimulate(em:any, circuit_netlist:any, binding:BindingHF, options:any) -> cosim_handle"
VI. Methods.SimStackHF — Simulation Stack Prototypes
edx.highspeed.simstack:
- id: "SimStackHF.build"
proto: "build(netlist:any, layout:any, binding:BindingHF, options:any) -> sim_handle"
- id: "SimStackHF.forward"
proto: "forward(sim_handle:any, theta:map, grid:Grid) -> {Z_eft:any, argZ:list[float], T_group_s:list[float], w:Weights, deltaZ_rad?:any}"
- id: "SimStackHF.invert"
proto: "invert(sim_handle:any, data:any, priors:any, sampler:str='NUTS') -> {posterior:any, logZ:float, summary:any}"
- id: "SimStackHF.ppc"
proto: "ppc(sim_handle:any, posterior:any, grid:Grid) -> {residual_spectrum:list[float], gates:QAGates}"
- id: "SimStackHF.export"
proto: "export(sim_handle:any, format:enum['cards','json']) -> artifact_paths:list[str]"
VII. Mx- — Priors/Likelihood/Evidence (HF constraints)*
edx.highspeed.inference:
priors:
n_eff_seg: {type:"normal", mu:"n_eff_hat", sigma:"0.05*mu"}
sigma_eff: {type:"lognormal", mu:-12.0, s:0.8, unit:"S/m"}
Ks_amp: {type:"halfnormal", sigma:0.5}
Ks_tau: {type:"loguniform", low:1e-12, high:1e-7, unit:"s"}
w_dirichlet: {type:"dirichlet", alpha:[0.3,0.3,0.3]} # Σ≤1
dt_sync: {type:"normal", mu:0.0, sigma:2.0e-12, unit:"s"}
deltaZ_rad_Re: {type:"halfnormal", sigma:1.0, constraint:"Re≥0"}
likelihoods:
complex_Z: "joint_gaussian([Re,Im]; W_ω)" # ε=Z_meas−Z_model
kpi_terms: "penalty(E_phase,GDR,T_group)"
radiation: "penalty(P_rad − 0.5*Re(ΔZ_rad)*|I_port|^2)"
evidence:
compute: ["laplace","nested_sampling"]
gates: ["passivity","KK","check_dim"]
VIII. M10-HF — Metrology & Alignment Prototypes
edx.highspeed.metrology:
- id: "M10-HF.align"
proto: "align(raw:any, deemb:Deemb, sync:Sync, binding:BindingHF, arrival:ArrivalRecord, Znorm:list[float], mixed?:MixedMode) -> aligned"
post: ["outputs Z_eft/argZ/T_group", "writes QAGates & KPIs"]
- id: "M10-HF.arrival_consistency"
proto: "arrival_consistency(arrival:ArrivalRecord, binding:BindingHF) -> {diff_s:float, pass:bool}"
rule: "|T_arr(n_over_c) − T_arr(one_over_c_times_n)| ≤ u_Tarr"
IX. QA Gates & Check Functions
qa:
- id: "check_dim"
proto: "check_dim(obj:any) -> enum['pass','fail']"
- id: "check_passivity"
proto: "check_passivity(Z:any) -> {min_Re:float, pass:bool}"
- id: "check_KK"
proto: "check_KK(Z:any, grid:Grid) -> enum['pass','fail']"
- id: "check_weights"
proto: "check_weights(w:Weights) -> {sum_max:float, pass:bool}" # Σ_{p,m} w_{p,m} ≤ 1
- id: "check_radiation_positive"
proto: "check_radiation_positive(deltaZ_rad:any) -> {min_Re:float, pass:bool}"
X. Error Codes (Unified)
errors:
E_BAD_UNITS: "Unit or dimensional mismatch"
E_KK_FAIL: "K–K consistency failed"
E_PASSIVITY: "Passivity failed (Re{Z}<0)"
E_BINDING_MISSING: "Missing binding_ref or path segments"
E_DELTA_FORM_MISSING: "Arrival delta_form not recorded"
E_TARR_MISMATCH: "Two-dialect T_arr mismatch"
E_QA_FAIL: "QA gate failed"
E_PRIOR_INVALID: "Invalid prior or bounds"
E_PORT_NORM: "Port normalization / mixed-mode basis inconsistent"
E_RADIATION_NEG: "ΔZ_rad not positive-real"
XI. Request/Response Pattern (minimal example)
request:
api_version: "1.0"
op: "s2z_forward"
payload:
S_path: "/artifacts/S.s2p"
Znorm_ohm: [50.0, 50.0]
mixed_mode: {enabled:true, T_mm:"/cfg/T_mm.yaml", Z0_mm_ohm:[100.0,25.0]}
grid: {freq_grid_Hz: [1e9, 1.01e9, ...]}
response:
api_version: "1.0"
result:
Z_eft: {real:[...], imag:[...]}
argZ: [...]
Zc_ohm: [...]
qa_gates: {check_dim:"pass", passivity:"pass", KK:"pass"}
checksum: "sha256:..."
XII. Compliance Templates (Arrival & Binding)
arrival:
form: "n_over_c" # or "one_over_c_times_n"
gamma: "explicit"
measure: "d_ell"
c_ref: 299792458.0
Tarr_s: 1.234e-09
u_Tarr_s: 6.0e-12
delta_form: "n_over_c"
binding_hf:
id: "LAY2PATH-HF-0001"
paths:
- id: "γ_main"
segments:
- {layer:"L3", len_m:0.0100, n_eff:2.12, neigh:"GND_L2"}
- {layer:"L4", len_m:0.0020, n_eff:2.18, neigh:"GND_L5"}
weight_init: 0.88
- id: "γ_side"
segments:
- {layer:"L3", len_m:0.0035, n_eff:2.40, neigh:"slot_L2"}
weight_init: 0.12
modes:
- {name:"DM", Zc_ohm:[...], alpha_per_m:[...], beta_per_m:[...]}
- {name:"CM", Zc_ohm:[...], alpha_per_m:[...], beta_per_m:[...]}
XIII. End-to-End Call Sequence (pseudocode)
# 1) Binding & alignment
binding = bind_layout_hf(layout, stackup, returns, constraints)
aligned = edx.highspeed.metrology.align(raw, deemb, sync, binding, arrival, Znorm, mixed_mode)
# 2) S→Z & co-sim
Zpack = map_S_to_Z(S_aligned, Znorm, mode="mixed", T_mm=Tmm, Z0_mm=Z0mm)
# 3) Simulation stack
sim = SimStackHF.build(netlist, layout, binding, options)
out = SimStackHF.forward(sim, theta0, grid)
# 4) Inversion & PPC
post = SimStackHF.invert(sim, aligned, priors, sampler="NUTS")
pp = SimStackHF.ppc(sim, post.posterior, grid)
# 5) Export
SimStackHF.export(sim, format="cards")
XIV. Constraints & Gates (HF release hard gates)
Σ_{p,m} w_{p,m} ≤ 1; min Re{Z_eft} ≥ 0; KK_consistency = pass; two-dialect T_arr difference ≤ u(T_arr); radiation channel Re{ΔZ_rad} ≥ 0; KPIs E_phase/GDR within gates; S↔Z loop preserves power & reciprocity.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/