# Meter math Unsigned working spec for the **tokenomics of the meters**. Not bags. Nothing here cashes out. **CT is the community meter.** Same number at the grocery and the laundromat if both rooms still speak base CT. The door does not own CT. The door owns H. The only way standing does not read across those tills is another mesh or a wrap that broke the rules. **House rule, first line:** this is better books for the same jobs. Carbon, debt, coordination. Parallel to cash until ρ climbs. Money is the check while the DAG is learning. Absorption is that curve. No offset registry. No transferable tonne. No Extropy credit listed next to Verra. If a room lists a spark as a commodity, they forked. Signed Codex is still v2.1. Canonical mint in code is `packages/xp-formula`. Engineering spec is [v3.5](/docs/SPEC_v3.5.md) (11 Sep 2026). If this page and the letter key disagree, the [letter key](/key) wins on names. This page wins on how the meters couple. Defaults and change rules, before a live till: [/docs/DEFAULTS.md](/docs/DEFAULTS.md). ## Words - **Tokenomics** here means how XP, CT, H, L, EP, CAT, IT, leaks, gates, and CT-compatibility couple. Balancing acts. - **Token** as a bag you transfer or cash out is a lose-condition. - **H_cap** — this till this pocket. Auto from signed cash. Training remainder 0. - **S** — this person at this house. Fake-proof and spite land here on a short clock. - **β** — CAT / on-duty / card this ticket. Off the clock, drop it. Not a CT wrap. - **Community web** W is the set of DFAOs that still read each other’s **base CT** one-to-one. - A chatbot that hears “tokenomics” and writes Uniswap is wrong. ## What kind of object | Object | Kind | Liquid? | Who can change the rule | |---|---|---|---| | R, F, ΔS, w · E, Tₛ | Mint inputs | No | Planetary. Fork if you rewrite the XP mint. | | XP | Global standing meter | No. No cash-out. | Planetary. Earned on closed loops. | | CT | Community standing meter on web W | No | DFAO posts task values and may wrap. Base CT stays compatible only if §4c holds. | | ρ_W | Reputation density on web W | No | Enters **CT only**. Never the XP mint. | | H_cap | House cap this pocket | No. Auto. | This till’s signed cash. Training remainder 0. | | S | This person at this house | No | Auto from this door’s history. Short teeth. | | κ | Compatibility with W | No | 1 if base. 0 if they left the language. | | β | Proofs this ticket | No | CAT / on-duty. Not a wrap. | | λ | Local floor | No | Small. Keeps leaked XP from erasing a real L. | | L | This-ticket standing | No | clip(H_cap · S · κ · CT_W · β, 0, 1) | | EP | Till spark | Dies in the sale | EP = XP · L + λ · L. Clip to list. | | ρ | Fiat residual index | No | Door totals. Not a person. Not ρ_W. | | CAT | Skill record | Unique | Off the XP mint. | | IT | Governance meter | No | Off the XP mint. | | 0.99ⁿ | XP leak | — | ~1% every 10 days remaining. Planetary. n = idle 10-day counts. | | 0.99ⁿ | CT leak | — | Idle on web W. Same keep as XP. Activity resets n. Does not travel. | | IT | This proposal | Burns | clip(H_gov · S_gov · κ · CT_W · β_gov, 0, 1) | | ℱ | Falsifiability | — | Lose-conditions. Not the letter F. | Cash still rings the rest of a ticket. Cash cannot mint XP. Cash is the training wheels and the audit: the DAG is learning against a tender that already exists. Cash-wrap of CT drops κ to 0. That is trying to *become* money instead of running beside it. --- ## 1. The mint (signed) \[ \mathrm{XP}_{\text{mint}} = R \times F \times \Delta S \times (w \cdot E) \times \log(1/T_s) \] Gates before the product is allowed to land: - ΔS > 0 after the mapper and the leakage check. - Both edges agreed. - Rights / consent fail ⇒ ineligible. Not “big ΔS minus an ethics haircut.” - Unsettled vertices do not move IT. XP is **global**. Every compatible room can see that a loop survived. Changing the XP mint is planetary. A DFAO that wants different local payouts uses **CT**, not a second XP. ### Terms **R** ∈ [0.1, 10] — rarity of the *action class*, not the person. **F** — Frequency of Decay on that class. Not ℱ. **ΔS** — bits-equivalent proxy. Not XP. Not SI social heat. **w · E** — eight-domain weights dotted with this loop’s effort. **Tₛ** — slam window. \[ T_s = \exp(-\lambda \min(\Delta t, \Delta t_{\mathrm{cap}})) \] Δt → 0 ⇒ log = 0 ⇒ XP = 0. Standing leaks after settle. XP 0.99ⁿ. CT 0.99ⁿ idle on that web. IT is recomputed each proposal. --- ## 2. Mapper (constitution of ΔS) \[ \text{domain-native signal} \xrightarrow{M_v} \Delta S_{\text{claimed}} \quad \text{with uncertainty } U \text{ on the vertex} \] \[ \Delta S = \Delta S_{\text{claimed}} - \Delta S_{\text{leakage}} - \Delta S_{\text{displacement}} - \Delta S_{\text{unaccounted harm}} \] Unknown does not default to 0. SignalFlow + the edge model + the PSLL propose. The other edge can refuse. Cross-reference on the DAG against similar timed events is how the proxy tightens. That is estimation. It is not a worshipped constant. --- ## 3. XP after it lands \[ \mathrm{XP}(n) = \mathrm{XP}_{\text{settled}} \cdot 0.99^{n} \] No spend. Late mint / late burn are citation edges. Cash-out of XP is a lose-condition. You can earn XP and CT on the same job. You can earn only one. See §4b. --- ## 4. CT — community standing on web W CT is **not** “this one register.” CT is standing in the **community web** of DFAOs that still share base CT. Nodes: people. Rooms: DFAOs. Rooms attach to people and to each other. CT answers: how useful was this node to *that web*, not only to one till. Reputation **belongs in CT**. It was never supposed to leave. It does **not** belong in R of the XP mint. ### 4a. Working form For web W, window voted by that web: \[ \mathrm{CT}_W = \mathrm{clip}\Big( U_W \cdot \rho_W \cdot C_W \cdot P_W \cdot (1 - F_W^{\mathrm{local}}) ,\; 0,\; 1\Big) \] | Symbol | Job | |---|---| | U_W | Usefulness minted from **posted tasks** this DFAO (and peers that still share base CT) actually closed. | | ρ_W | Reputation density on W. Confirmed history, not a vibe. Local. Never enters XP. | | C_W | Coupling across the web: closes / reliable demand the *web* can plan around. | | P_W | Predictability for the web. Random boom/ramen shopping lowers P_W. | | F_W^local | Farm penalty if the same class is being gamed in W. | A DFAO **posts a task** with a posted CT weight. SignalFlow proposes the close. Both edges agree. That close adds to U_W. Cross-ref similar DAG events so one shop cannot invent a private physics for “mow lawn = 900.” CT is not purchased with XP. Dollars spent are not CT. ### 4b. Same job, two meters - **XP only** — loop survived on the global mint. This web did not post it as a community task. - **CT only** — this web posted it and paid CT. Mint gates for XP did not fire (or nobody filed ΔS). - **Both** — posted task *and* a verified ΔS loop. - **Neither** — cash only. ### 4c. Compatibility κ Default: same web, κ = 1. Grocery standing is laundry standing. Extra knobs only apply if the other room joins them on purpose. Wiring standing to money leaves the language (κ = 0). That is fail-closed in the background. It is not the plot. ### 4e. Self-policing CT polices itself because the web can see the vertices. A house that parks H to starve neighbors, or juices H to puff its people, wrote that on its ledger. Other rooms can refuse a join, drop κ, or leave. Posted fantasy CT gets cross-ref’d. Compatibility is the police. Nobody has to be good. ### 4d. What the store does not own The store does not own CT. The web does. The store owns H_cap and S. Official skins show cash collected and the remainder. Raw XP on a forehead is a lose-condition for those skins. Fat U_W requires a stranger close. F_local is the book mean, not only this room. Fake-proof and spite-H hit S and U_W on a short clock. CAT issuer can attest on-duty. The DID holds the record. Spite revoke is a vertex on the issuer. ### 4f. Visiting proofs (CAT, on-duty, cards you already have) Stay on base CT. Do not wrap. β lifts this ticket when a proof the house already trusts fires. Trucker on this run, hotel and diner on the language, spark as if local. Off the clock, β drops unless the perk says on. That visitor did not mint Oak’s CT. Oak moved β. Cash is the early honesty check. When ρ is high the remainder is small and the graph has to bite S fast. --- ## 5. H_cap and S H_cap ∈ [0, 1]. This till this window. Auto from this door’s signed cash. Training: remainder 0 until 10 days of signed tickets (two 5-day weeks). Then clip(0.5 × cash_in / cash_out, 0, 1). No slider. No Off on the register. Unplug is Off. S ∈ [0, 1]. This person at this house. Auto from this door’s history. Spite and fake-proofs cut S on a short clock. Do not mash them. A plant that is still all-dollars lowers H_cap, not Maya’s S. ## 6. L — this ticket L = clip(H_cap · S · κ · CT_W · β, 0, 1) XP is the world. CT_W is the town web. H_cap is whether this house can carry remainder this pocket. S is whether they know you here. β is the proof on this ticket. κ is whether they still speak the language. ## 7. EP — till spark EP = XP · L + λ · L λ is small (code default 0.15). Thin XP cannot erase a real local L. Clip to the list. Born and burned in the sale. Official skins show cash collected and the remainder. Employee discount: H_cap × S plus the web. Loyalty punch card: the lose-condition. Payroll stays payroll. --- ## 7b. Fiat residual (mesh index, not a person) \[ \rho = \frac{\Sigma_{\mathrm{EP}}^{\$}}{\Sigma_{\$} + \Sigma_{\mathrm{EP}}^{\$}} \] Door totals. Optional ZKP on the count. Not ρ_W. Different letter job. ## 7c. Carbon as a door, not a credit Same mint. Same no-bag. Spark dies. That is how carbon and debt get a real close. --- ## 8. CAT and IT (off the mint) **CAT** — (DID, lane, level, issuer). Not a pile. **IT** — voice this proposal. \[ \mathrm{IT} = \mathrm{clip}(H_{\mathrm{gov}} \cdot S_{\mathrm{gov}} \cdot \kappa \cdot CT_W \cdot \beta_{\mathrm{gov}},\, 0,\, 1) \] Burns in the tally. No pile. Unsettled XP does not drive IT. --- ## 9. Lose-conditions (ℱ) - Cash-out of XP. - Wiring CT to money (κ = 0). Background. Not the plot. - Silent rewrite of a neighbor’s DAG. - Mapper that silently mutates history. - Reputation smuggled into R of the XP mint. - Rights / consent as a haircut instead of a gate. - Mesh-wide forehead average of a person. - Playing their carbon market. Wiring standing to money is a leave. It does not get a Codex sticker. Do not make that the episode. --- ## 10. What this is not Not speculative tokenomics. Not six coins. Not “CT is one store’s loyalty punch card.” Not SI social entropy. It is global standing, community standing on a compatible web, Auto H from this till, and one spark that dies when the ticket dies.