Temporal Resonance Map — Taxes Module

Incentive Half‑Life · Drift Fields · Propagation Phases · Alignment Surfaces#

1. Purpose#

This map defines the temporal‑resonance structure of the Taxes module.
It models how incentives evolve over time, how drift accumulates, and how half‑life (IHL) interacts with propagation and alignment surfaces.

The map is used to:

• track incentive stability
• measure drift accumulation
• model temporal decay
• align incentives with RRR, IE, and GSM

2. Temporal Axes#

2.1 Time (t)#

Primary temporal axis.
Represents:

• incentive duration
• depreciation curves
• drift accumulation
• half‑life decay

2.2 Drift (Δ)#

Represents:

• baseline drift
• propagation‑induced drift
• compliance‑driven drift
• cross‑jurisdiction drift

2.3 Propagation Load (P)#

Represents:

• jurisdictional propagation
• cross‑domain propagation
• federal/state/international load
• ledger‑based propagation (for crypto regimes)

3. Half‑Life Envelope (IHL)#

The incentive half‑life envelope defines:

• incentive durability
• decay rate
• drift susceptibility
• stability boundaries

IHL is computed via:

• incentive_half_life_operator
• incentive_drift_operator
• jurisdiction_propagation_operator

Outputs:

• IHL curve
• stability envelope
• decay boundary

4. Drift Fields#

4.1 Baseline Drift Field#

Generated by:

• incentive baseline
• compliance substrate
• propagation vectors

4.2 Propagation Drift Field#

Generated by:

• cross‑jurisdiction propagation
• cross‑domain propagation
• federal/state/international alignment

4.3 Alignment Drift Field#

Generated by:

• RRR continuity alignment
• IE cycle alignment
• GSM governance alignment

Each drift field contributes to:

• drift amplitude
• drift acceleration
• drift direction

5. Phase‑Surfaces#

5.1 Stability Phase#

Region where:

• drift amplitude is low
• IHL is long
• propagation load is stable

5.2 Transition Phase#

Region where:

• drift amplitude increases
• IHL compresses
• propagation load fluctuates

5.3 Fragmentation Phase#

Region where:

• drift amplitude exceeds threshold
• IHL collapses
• propagation load destabilizes

6. Temporal Resonance Structure#

IHL(t)  →  stability envelope
Δ(t)    →  drift accumulation
P(t)    →  propagation load

temporal_resonance(t) =
    f( IHL(t), Δ(t), P(t) )

Temporal resonance determines:

• incentive persistence
• decay timing
• drift‑field activation
• alignment behavior

7. Cross‑Module Alignment#

7.1 RRR (Continuity)#

Temporal resonance aligns with:

• continuity envelopes
• revenue propagation
• RRR/1 and RRR/2 layers

7.2 IE (Cycle Inversion)#

Temporal resonance aligns with:

• cycle inversion
• uplift constraints
• economic half‑life (EHL)

7.3 GSM (Governance)#

Temporal resonance aligns with:

• governance coherence
• policy propagation
• civic‑field resonance

8. Map Status#

• Layer: Temporal
• Role: Incentive half‑life and drift‑field mapping
• Version: 2026‑06
• Format: AI‑first · operator‑driven · minimal