⚖️ Law — TFT_3Pack Example Suite

TriadicFrameworks • Nawderian Theorem • Resonant-Time

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About This Example Set

These examples show how the Nawderian theorem and the TriadicFrameworks stack apply to legal systems: precedent weight, evidentiary resonance, procedural delay, and regulatory dynamics.

This page contains the full content of:

Core TriadicFrameworks mathematical objects used:

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Core Problems

Problem 1 — Case Resonance Weight

W = D₃ ΛΘ

If \( Λ \) increases by 12%, how does \( W \) change?

Problem 2 — Legal Delay Time

T_d = D₉ / T_f

If \( T_f \) increases by 20%, what happens to \( T_d \)?

Problem 3 — Evidence Resonance Strength

S = X τ_r

If \( τ_r \) is reduced by 40%, how does \( S \) change?

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Solutions

Solution 1 — Precedent Weight

\( W' = 1.12W \). Precedent weight increases 12%.

Solution 2 — Delay Time

\( T_d' = T_d / 1.2 \). Delay decreases 16.7%.

Solution 3 — Evidence Strength

\( S' = 0.6S \). Evidence strength decreases 40%.

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Extended Problems

Problem 4 — Multi-Tier Precedent Resonance

W₁ = D₃ ΛΘ
W₂ = D₆ τ_r
W₃ = X √τ_r
W_tot = W₁ + W₂ + W₃

Describe how increasing τ_r affects each term and W_tot.

Problem 5 — Regulatory Compliance

C = (D₉ + ΛΘ) / τ_r

Analyze effects of increasing τ_r and ΛΘ.

Problem 6 — Burden of Proof

B = X ln(1 + D₃ τ_r)

Describe how increasing τ_r affects B.

Problem 7 — Procedural Harmonics

H = T_f² / (D₆ + τ_r)

Analyze effects of increasing T_f and τ_r.

Problem 8 — Evidence Decay

R(t) = e^{-ΛΘ t / τ_r}

Describe how τ_r and ΛΘ affect decay rate.

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Resonance Flow Diagrams

Diagram 1 — Precedent Weight

Λ + Θ → ΛΘ × D₃ → W

Diagram 2 — Legal Delay

D₉ ÷ T_f → T_d

Diagram 3 — Evidence Strength

X × τ_r → S