Haute Lumière
Commerce · VII.09 · MMXXVI · daylight
For the person working inside a gainshare arrangement, where a defined share of verified improvement returns to the people who produced it. This chapter is the best teacher in the edition on one specific thing: how to tell the difference between a gain you can claim and a gain you cannot, before you spend a quarter chasing the wrong one.
A gainshare ledger pays on verified, attributable improvement. Three words, and every one of them is a filter.
This chapter is four hundred lines of arithmetic about a field where enormous improvements are real, genuinely enormous — three billion to one in specific escape energy between Earth and a small asteroid — and almost none of them can be verified, attributed or banked by the person who found them. Learning to see that distinction here, where it is stark, makes it easy to see at your own desk, where it is subtle.
The short version, and it is the whole workbook:
A positional gain is bankable when you control the position. It is not bankable when you only observe it.
The water in low orbit is worth $3,059 a kilogram against a tenth of a penny at a tap — a ratio of 3,059,211 to one. Nobody banks that ratio. What is banked is the $23.0 million a year of launch the station's 98 percent water closure actually avoids, because somebody built the loop, the loop is measured, and the avoided launch is attributable to it.
One of those is an observation. The other is a claim. Your ledger only knows the second kind.
The four tests a gain must pass before it is worth your quarter.
1. Is it measured before it is changed? The chapter's whole method is a baseline: the launch price, dated and sourced, before the depot price is quoted against it. Without a before, there is no delta, and without a delta there is no claim. If you can do only one thing this month, establish the baseline on the thing you intend to improve.
2. Is the improvement larger than the noise? The chapter refuses to state a carrying capacity as a number because the honest answer spans 4,412 to 196,111 — a bracket 44.4 times wide. A gain inside your own measurement's noise band is unclaimable however real it is. Compute your period-to-period variation first; the rule of thumb is that the effect should exceed roughly three times it.
3. Is it attributable to an identifiable act? The $23.0 million of avoided launch is attributable to a specific engineering loop. The three-billion-to-one gravity ratio is attributable to the solar system. Both are true. Only one has an author.
4. Does the gain survive its own success? This is the chapter's sharpest lesson and the one most often missed inside an incentive scheme. If your improvement destroys the condition that made it valuable, the second year's number is smaller than the first's. The chapter's case: landing 23.9 tonnes of platinum, 13.3 percent of world supply, moves the price −33.2 percent and destroys $3.74 of value for every dollar earned. Ask this question of your own gain before you build the case, not after.
Exercise 2.1 — Your p register (two weeks)
Everything you handle that can come round again has a circulation fraction, and the multiplier is 1/(1 − p):
p = 50% -> 2.00x p = 90% -> 10.0x
p = 85% -> 6.67x p = 93% -> 14.3x
p = 98% -> 50.0x
Build a register: every recoverable input in your area, its current p, the measurement method, and the date measured. Rank by proximity to 0.9, not by spend.
This ranking is the single most useful page you will produce this year, because the curve is convex: five points added at 0.93 is worth 3.5 times the multiplier, and five points added at 0.40 is worth almost nothing. A gainshare ledger rewards the steep part of a curve, and most people spend their effort on the flat part because that is where the embarrassment is.
Exercise 2.2 — The avoided-cost line (one week)
For your best candidate, write the avoided cost the way the chapter writes it:
open-loop requirement 7,670 kg / yr
requirement at 98% closure 153 kg / yr
avoided 7,517 kg / yr
x benchmark delivered price $3,059 / kg
= avoided cost $23.0 million / yr
Four lines and a multiplication. Note what makes it claimable: the open-loop figure is computed from a published consumption rate, the closure fraction is measured, and the benchmark is a published price with a date. Every one of those three is checkable by somebody who does not trust you, which is the only standard that matters in a ledger.
Exercise 2.3 — The benchmark, and the fact that it moves (half a day)
The chapter's benchmark falls at 5.05 percent a year, halving every 13.4 years. Yours may too.
This matters to you directly and in a way that catches people out: an avoided cost computed against a falling benchmark shrinks even when your performance improves. If you claim against a benchmark, fix the convention in writing before the period starts — benchmark at period open, at period close, or averaged — and get it countersigned. That single sentence has settled more gainshare disputes than any amount of goodwill.
The entry. A claimable gain has six fields, and a claim missing any one of them is not refused, it is deferred, which is worse because it consumes the period.
| Field | What it holds | The chapter's example |
|---|---|---|
| Baseline | The measured before, dated and signed | Launch price per kg, with source and date |
| Method | How it is measured, named | Mass flow through the recovery loop |
| Intervention | The identifiable act | The closure loop, built by a named team |
| Delta | The measured after, same method | 98 percent recovery |
| Valuation | Delta × a public price | 7,517 kg × $3,059 = $23.0 million |
| Attribution | Who, and what share | The engineering team, agreed at the start |
The share. Agreed before the work, never after. This is not a matter of trust; it is a matter of arithmetic being easier to agree on when nobody yet knows the answer. The chapter's own instrument uses the same discipline: the disposal bond is sized at licence, the offtake strike is set as a discount to benchmark, and both are fixed before anyone knows what the delivered price will be.
The verification. Somebody who did not produce the gain checks it, by a route that shares no assumptions with yours. The chapter publishes its computation in lib/verify/VII_09.py — inputs, intermediate terms and results, with units and sources — precisely so a sceptic can re-derive rather than argue. Do the same with your claim. A one-page appendix that lets a finance analyst reproduce your number in ten minutes converts an argument into a signature.
The reversion. Where the arrangement returns the full benefit to the operating area after the shared period ends, say so in the claim. It costs the ledger nothing and it converts colleagues from reluctant hosts into genuine beneficiaries, which is worth more to you next quarter than the share itself.
Claim these.
Let these go, quickly and without regret.
Five asks, in the order they are easiest to get.
p on the standing pack. One line in an existing report. Once the multiplier is visible, the arithmetic argues on your behalf and you do not have to.Four, and every one of them has been paid for by somebody.
The unagreed baseline. The most expensive document in any gainshare arrangement is the one that was never signed. Without a countersigned before, the result is arguable by anyone who prefers a different answer, and the argument lands in the period when you were meant to be doing the next thing. Cost: one quarter, every time.
The generous definition. p defined as collected rather than returned to service and doing the job again. A definition that drifts produces a rising number out of a flat reality, and the correction, when it comes, is applied to every claim you have ever filed. Write the narrow definition first, and never widen it.
The borrowed trend. A claim resting on an external benchmark that was moving anyway. The chapter's launch price falls 5.05 percent a year without anybody in your building doing anything, and a delivered cost that merely tracks it has improved nothing. Strip the benchmark movement out before you value the delta, and say in the claim that you did. A claim that discloses its own deduction is believed twice as fast.
The single number where a bracket was honest. The chapter refuses to state carrying capacity as one figure and publishes 4,412 to 196,111 instead, with 29,417 as a central estimate and 40,500 objects in the shell today. That refusal is not caution; it is what makes the rest of its arithmetic trustworthy. If your gain has a genuine range, file the range with the method, and file your claim at the conservative end. A claim filed low and verified high is the best thing that can happen to your name in a ledger.
| Day | Action | Artifact |
|---|---|---|
| 1–15 | Build the p register for your area | The register, with methods and dates |
| 16–30 | Rank by proximity to 0.9; pick one | The convexity case, one page |
| 31–45 | Establish and countersign the baseline | The signed baseline |
| 46–60 | Fix the benchmark convention; name the verifier | The convention note |
| 61–75 | Run the intervention; log the delta by the same method | The measurement log |
| 76–90 | File the six-field entry with a re-runnable appendix | The claim |
Read your claim back and answer these out loud. Every one is a yes or the claim is not ready.
Eight questions, ten minutes. A claim that passes all eight is not usually argued with. That is not because it is generous. It is because there is nothing left in it to argue about, and that is the entire craft.
The chapter's whole finding, translated into your ledger, is one sentence:
Value that exists because of where something is belongs to whoever moved it — and only if they measured it before they moved it.
The gravity well is three billion to one. The water in orbit is three million to one against the tap. Neither of those numbers has ever paid anybody, and they never will, because nobody authored them.
The $23.0 million a year of launch that a closure loop avoids has paid, is paying, and will keep paying — because somebody built the loop, somebody measured what it saved, and somebody agreed the share before the work began.
That is the whole difference between an astonishment and a claim, and once you can see it in a chapter about asteroids you will see it every week in your own.