A Multi-Variable, Multi-State Function Modeling Transformational Precision at Scale
We define transformation for one person as a function of six variables:
We then define the full ClearPath Value Function (CPV) as:
Where i is each CorePerson served and n is the total number of individuals in the system. Each term represents an instance of clarity-based transformation with compoundable results. The sum means total system value is the sum of every individual transformation, each amplified by its own ripple.
Reading the formula from the inside out: clarity, action, and breakthrough multiply together to give the core transformation; the repeatable yield of that transformation is added; the whole result is then multiplied by how far it spreads.
Clarity is a function of the FieldMap: C = f(F). It increases as more dimensions of truth are surfaced, friction is mapped and removed, and decisions are made from facts, not assumptions. Clarity acts as a multiplier of transformation. The higher the clarity, the more precise the action.
Where:
How limitations enter: the source says L carries an inverse weighting but does not give the exact form. This calculator treats L as a limitations burden scored 0 to 1, and uses the term (1 - L), so heavier limitations lower clarity and lighter limitations raise it. The choice is stated here so the computation is reproducible.
Where t_j is each individual step taken, w_j is the effectiveness weight based on precision of match to the FieldMap, and m is the number of steps taken. TrueSteps are not equal. Some steps are a perfect fit, others are less efficient. The better the step is aligned to the FieldMap, the greater its impact.
Where delta is breakthrough density (the ratio of actions that result in visible movement) and P is psychological shift magnitude (how much it moved the person emotionally and cognitively). This captures both event frequency and emotional gravity of the experience.
Where gamma is the replication coefficient (how transferable this solution is to others). A higher BrightStack value means more of the result can be documented, automated, taught, and resold. BrightStack is essentially codified, transferable precision.
Where rho is base referral strength (conversion rate per SparkPoint) and k is network depth of amplification (how many layers deep it goes). Ripple is an exponential variable. If a transformation reaches Ultrastate-level resonance, R explodes.
The entire equation is optimized by five moves:
If we define E as the Efficiency of the System:
Then we can track average transformation value per CorePerson, which becomes a KPI for system design, product-market fit, coaching impact, sales funnel precision, and AI clarity engine accuracy.
Honest reading of lever 2: in the formula as written, T is a multiplier, so a step with a low weight still adds a little to T. Removing a misaligned step only raises total value if the time and effort it consumed are redeployed to an aligned step. The optimization simulator below models exactly that swap, so the effect is visible instead of assumed.
For future automation, the model runs as a six-stage pipeline:
| Stage | What happens |
|---|---|
| 1. Input | Real person's FieldMap, taken in through a form, voice, or interview. |
| 2. Modeling Layer | Assign weightings to clarity variables (C) and match to existing BrightStacks. |
| 3. TrueStep Generator | A GPT agent matches aligned actions to the FieldMap. |
| 4. SparkPoint Monitor | Track engagement, validation moments, and response triggers. |
| 5. BrightStack Generator | Auto-save winning paths into modular libraries. |
| 6. Ripple Engine | Detect share events and post-event narrative spread. |
This allows for real-time clarity coaching, sales avatar engines, transformational curriculum delivery, and autonomous business modeling.
CorePerson: owns a camera, knows a reseller, has 5 hours per week, needs $500. Limited marketing skill, strong with people, wants freedom not fame.
Their FieldMap generates:
Mathematically:
This CorePerson transformation generated a 6.6x transformation multiplier from one guided clarity session.
The ClearPath Value Equation defines the transformation potential of solving for one person with clarity, by modeling:
It is not theoretical. It is systemic, testable, and productizable.
The ClearPath Value System 2.0 is a separate document with a different formula, built as its own demo. Do not conflate the two. In v1, CPV is a sum over n CorePersons of [(C x T x S) + B] x R, where T is TrueSteps, S is SparkPoints, and B is BrightStack yield. In 2.0, Tvalue = (C x A x B) + S x R for one case, where A is Action Precision, B is Breakthrough Events, and S is System Capture Value. The same letters mean different things in the two documents, and the two equations are not interchangeable.
Enter the values for one person. The calculator shows every intermediate step and the final per-person CPV with the formula written out. Defaults are the resale example.
Add CorePersons to the table. Each row shows its own CPV. Totals give n, total CPV, and efficiency E = CPV / n. Rows are ranked by CPV, highest first.
| Rank | Name | C | T | S | B | R | CPV | |
|---|---|---|---|---|---|---|---|---|
| No CorePersons yet. Load the resale example or add one. | ||||||||
Start from a baseline close to the resale case, then move the levers. Each lever shows its own change in CPV, and the readout names the single highest-leverage change at the current settings. B is recomputed from gamma at every setting, so a lever that raises the core product (C x T x S) also raises BrightStack yield, exactly as the formula B = gamma x (C x T x S) says it should. Baseline: C = 0.88, 3 aligned steps (t = 1, w = 0.95) plus 2 wasteful steps (t = 1, w = 0.20), so T = 3.25; delta = 0.8 and P = 0.8, so S = 0.64; B = 1, which implies gamma = 0.54633; rho = 1.4832 and k = 2, so R = 2.19988, about 2.2.
Two scenarios side by side with the same inputs. Each shows per-person CPV, total CPV for its n people, and efficiency E = total CPV / n. The delta row shows scenario B minus scenario A. Scenario A is prefilled with the resale example; scenario B with the same numbers except C = 0.95.
Sources and scope: all content on this page comes from the ClearPath Formula v1 source document pasted 2026-11-03. The ClearPath Value System 2.0 is a different formula and is not used here except where the v1 versus 2.0 note above says so. Nothing on this page calls a live model or a live data feed; every number is computed in your browser from the values you enter.