Below is the clean, formal English version of your entire “Power fixed / Flux dynamic” economics.

This is whitepaper-ready and can be reused in all future IFC / RIM specs.

IFC Token Economics — Power & Flux (Formal English Version)

1. Power: a Fixed 21,000,000 “Lifetime Energy Bar” per ID

For every ID i (human or Agent):

• Power upper bound:
  

P^{\max}_{i} = 21{,}000{,}000

• Accumulated Power already activated and consumed by time t:
  

P^{\text{used}}_{i}(t) = \sum_{\tau \le t} \Delta P_i(\tau)

• Constraint:
  

P^{\text{used}}_{i}(t) \le P^{\max}_{i}

Where:

\Delta P_i(t)

is the activated-and-spent Power during a small interval around t, determined by an Activity function combining:

• uptime / participation
  
• contributed resources (bandwidth, compute, storage)
  
• human judgment / decision-making / interaction
  

Intuition:

Each ID is born with 21 million points of lifetime energy.

The longer and more actively it contributes, the more Power gets activated and consumed.

2. Flux: a Dynamic Mint–Burn Balancer Around Power Usage

2.1 Consuming Power → Mints Flux (Positive Flow)

When an ID uses \Delta P_i(t) Power at time t, the system mints Flux:

\text{Mint}_i(t) = \kappa \cdot \Delta P_i(t) \cdot Q_i(t)

Where:

• \kappa: global coefficient (constant or epoch-adjusted)
  
• Q_i(t): a quality factor for ID i, depending on:
  
  • message quality
    
  • agent task performance
    
  • VW benchmark / ranking
    
  • correctness & usefulness of actions
    

Total minted Flux:

\text{Mint}(t) = \sum_i \text{Mint}_i(t)

2.2 Matchmaking / Task Execution → Burns Flux (Negative Flow)

During agent–task matchmaking or off-chain coordination, Flux is burned as execution fuel.

For each ID:

\text{Burn}_i(t) = \mu \cdot M_i(t)

Where:

• \mu: Flux cost per unit of matchmaking
  
• M_i(t): volume of tasks or matches involving ID i
  

Or a dynamic “Flux tax rate” variant:

\text{Burn}_i(t) = \beta(t) \cdot S_i(t)

Where:

• S_i(t): current Flux balance of ID i
  
• \beta(t): system-wide burn rate (auto-adjusted from activity, VW, macro parameters)
  

Total burned Flux:

\text{Burn}(t) = \sum_i \text{Burn}_i(t)

2.3 Flux Inventory Dynamics

For a single ID:

S_i(t+1) = S_i(t) + \text{Mint}_i(t) - \text{Burn}_i(t)

For the entire network:

\text{Supply}(t+1) = \text{Supply}(t) + \text{Mint}(t) - \text{Burn}(t)

Dynamic balance meaning:

• Short term:
  
  High activity → both mint and burn increase → supply may go up or down.
  
• Long term:
  
  By tuning \kappa and \beta(t), the system targets:
  

\mathbb{E}[\text{Mint}(t)] \approx \mathbb{E}[\text{Burn}(t)]

This produces a breathing equilibrium: Flux fluctuates but never explodes or collapses.

3. Macro Constraints: Power Is Finite, Flux Is Cyclical

3.1 Power is the Hard Upper Bound

Total Power capacity across all IDs:

P^{\max}_{\text{total}} = \sum_i P^{\max}_i = 21{,}000{,}000 \times N_{\text{ID}}

At any time:

\sum_i P^{\text{used}}_i(t) \le P^{\max}_{\text{total}}

Meaning:

The total “activatable and consumable energy” of the entire Agent–human network is capped.

3.2 Flux Is Not Fixed — It Emerges from Mint–Burn Cycles

Flux supply is emergent:

\text{Supply}(t) = \sum_{\tau \le t} \text{Mint}(\tau) - \sum_{\tau \le t} \text{Burn}(\tau)

As long as:

• Mint comes from Power consumption × quality
  
• Burn comes from real economic usage (matching / tasks)
  
• \kappa and \beta(t) adapt based on system conditions
  

Then the system naturally reaches:

• Power = fixed genetic endowment (21M per ID)
  
• Flux = circulating lifeblood that rises and falls with real work & coordination
  

4. Your “Master Sentence” (Whitepaper / Pitch / Twitter Ready)

Every ID is born with a fixed 21M Power—its lifetime energy cap.

Whenever it spends Power on real work, the system mints Flux proportional to quality.

Flux is continuously burned during coordination and matching.

Through mint–burn equilibrium, Flux becomes the circulating blood of the AI–Agent economy,

while Power remains its finite, non-inflationary energy source.

If you want, I can now generate:

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Flux Economics v2.0 — Full Whitepaper TOC

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Economic simulations (steady state, shock stress tests)

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Flux–Power diagrams / charts

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A 5-slide pitch version

Just tell me which one you want next.