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WORKBOOK — THE CORPORATE EXECUTIVE

Chapter VII.10 · The Cosmological Frame

For the person with a P&L, a signature authority and a board that does not want a lecture about the universe. Everything below lands on a line in your accounts inside one reporting period, and the cosmology stays out of the paper.

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THE PREMISE, STATED COMMERCIALLY

Two things come out of this chapter and go straight into a business.

One: you are managing half of a thermodynamic transaction. Every energy budget you own has a supply side, which is metered, tendered, hedged and reported monthly, and a rejection side, which in most organisations is not measured at all. The temperature at which your plant dumps heat is a large free variable sitting unmanaged in the middle of your operations, and unlike most free variables it has a market price attached — the chiller electricity it would otherwise cost you.

Two: the only long-run term anyone can move is the denominator. Output growth minus energy-intensity improvement equals growth in energy use. The world manages about 1.3 percent a year of intensity improvement against something like 2.0 percent output growth. That gap of 0.7 points a year is the entire cosmological budget rendered as something a firm decides, and your firm's own figure is either better or worse than the world's. You almost certainly do not currently know which.

What does not go in the board paper: the two-hundred-and-thirty-one-year threshold, the Kardashev ladder, or the entropy export. At a three percent discount rate a payoff at 231 years is worth 0.000978 of itself. Anyone arguing from that number in a capital paper will lose the room and take the good part of the argument with them.

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PART ONE — DISCOVERY

Days 1–30: find the sink you already own

Exercise 1.1 — The rejection audit (one day of one engineer's time)

For every significant thermal system in the business — chillers, condensers, compressors, ovens, kilns, data halls, cold stores — fill one row:

Three findings appear reliably. First, the rejection temperature column is empty everywhere, because nobody has ever been asked for it. Second, at least one system is rejecting high-grade heat that another system is separately paying to generate. Third, the rejection side is almost never sub-metered, so the largest controllable variable in the plant is invisible to the reporting pack.

None of these is a fault to report. All three are unpriced positions, which is the same finding Chapter I.01 makes about maintenance and supplier relationships, arriving here through the plant room.

Exercise 1.2 — The roof inventory (half a day, from drawings)

List every roof you control, with area, structural capacity, current use, ownership status and — the column nobody has — the sky view. For each, record whether an adjacent site could be developed upward and what the local planning envelope allows.

You are looking for large, single-owner, unshaded roof area above a continuous cooling load. Data centres, cold stores, supermarkets, hospitals and pharmaceutical plants are where this is most often sitting unused.

Exercise 1.3 — The tariff test (twenty minutes, and it is the go/no-go)

Pull your commercial electricity tariff from an actual invoice — the all-in rate including distribution and capacity charges, not the commodity strip.

                  hurdle rate x installed aperture cost
  break-even tariff  =  ------------------------------------
                       displaced kWh-e per m2 per year

On the chapter's assumptions — 40 W/m² net cooling, a 40 percent duty cycle, a chiller coefficient of performance of 4.0, 100 USD/m² installed, a 7 percent hurdle — that is 0.07 × 100 / 35.0 = 0.20 USD/kWh.

Above roughly twenty cents a kilowatt-hour this clears. Below it, it does not. At 0.25 USD/kWh the aperture returns 8.76 USD/m²/yr, a simple return of 8.8 percent and a payback of 11.4 years. At 0.12 USD/kWh it returns less than half the hurdle and you should say so and stop. Do this before you take a vendor meeting, because a vendor will not do it for you and the answer takes twenty minutes.

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PART TWO — THE ARITHMETIC

Days 31–45: your own intensity number

Exercise 2.1 — Build the firm's intensity series (three days)

Take five years of two quantities you already report: real output (revenue deflated, or units, or tonnes, or floor-area-hours — anything defensible and consistent) and total energy in gigajoules across every carrier.

  energy intensity  =  energy in GJ  /  real output
  improvement rate  =  the annual compound decline in that ratio

Then compare three numbers on one line: your improvement rate, your real output growth, and the world's 1.3 percent a year.

If your improvement rate exceeds your output growth, your absolute energy use is falling while the business grows, and that is a board slide on its own. If it does not, you now know the size of the gap and it is the gap the rest of this workbook closes.

For scale while you argue about method: world GDP was about 1.054e+14 USD in 2023 against 620 EJ of primary energy — 170 USD per gigajoule, or 0.61 USD per kilowatt-hour of value. Any business unit producing less value per gigajoule than the world average is, on this one metric, below the line, and that framing gets attention in a way that a percentage does not.

Exercise 2.2 — Cost the rejection side (two days)

For the largest system in your Exercise 1.1 table, compute:

1. Annual chiller electricity, from the bill or from run-hours and the part-load curve.
2. What fraction of that load is condenser-side, and how it varies with ambient temperature.
3. The kilowatt-hours that a pre-cooled condenser loop would displace, at whatever ΔT your engineers will defend.
4. That, valued at your actual all-in tariff.

Then the same for avoided capacity: if pre-cooling shaves the coincident peak, you may be deferring a chiller replacement, and deferral is usually larger than the energy saving. Cost the counterfactual, as Chapter I.01 insists, not the visible line.

Exercise 2.3 — The three sanity checks (one hour)

Before any of this reaches a paper, confirm you can answer these, because a sceptical CFO will ask at least one:

• Is this a heat problem or a gating problem? Human dissipation warms the planet by 0.010 K; Earth's energy imbalance is 459 TW against a human energy system of 19.6 TW, 23.4 times larger. You are not proposing this to reduce waste heat. You are proposing it to reduce an electricity bill.
• What is the error bar? The uncertainty on the planetary imbalance is 204 TW, 10.4 times the whole human energy system. Nothing your firm does is visible at that scale, and claiming otherwise in public is a reputational liability.
• What horizon does the argument need? Yours needs 11.4 years or less. The physics needs centuries. Keep them in separate documents.

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PART THREE — DESIGN

Days 46–60: the instrument

Exercise 3.1 — Draft the sky-access easement first

Before a panel is ordered. An aperture without a recorded right of view is an asset a neighbour can destroy with a planning consent, and it will be worth nothing on the day it matters.

The drafting is not novel. Solar access easements, rights of light, restrictive covenants and airspace rights are mature, litigated and conveyable in most jurisdictions. A sky-access easement is a solar easement pointed the other way. Give your property counsel the following and expect a first draft in a week:

• The benefited roof polygon, by survey coordinates.
• An obstruction limit expressed as a solid angle or an elevation envelope from the polygon's centroid, not as a building height.
• Term: perpetual where possible, otherwise matched to the contract with an extension option.
• Recorded against title, not a side letter.

Exercise 3.2 — Structure it as a service, not a lease

This determination decides whether the arrangement is invisible on your balance sheet or drags a right-of-use asset and a lease liability onto it.

An availability contract for a service, where you have no right to direct the use of an identified asset and the provider can substitute, is an executory service contract: expensed as incurred. A contract that hands you control of identified panels is a lease. Get this in writing from the auditors at term sheet stage, not at year end, and draft towards the answer you want rather than discovering it afterwards.

Exercise 3.3 — Write the term sheet

The floor and cap on the tariff link are the commercially important line. Without them you have written an unhedged exposure to the power market into a cooling contract, and your treasurer will find it.

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PART FOUR — DESTINY AND DELIGHT

Days 61–90: make it hold

Exercise 4.1 — Get the denominator into the standing pack

One line, monthly: gigajoules per unit of real output, with the twelve-month improvement rate beside it. Not an annual sustainability disclosure — the standing operational pack, reviewed by the people who review the revenue line.

Anything reviewed monthly persists; anything reviewed by exception does not. This single line is worth more than the pilot, because it outlives the pilot and because every subsequent proposal now has a denominator to be measured against.

Exercise 4.2 — Name the second owner

One owner is a hobby. Give the second owner the credit for the first verified result, and give them it publicly.

Exercise 4.3 — The failure modes, named so you can see them coming

• The cosmological term gets into the paper. Someone adds a slide about the twenty-third century and the credibility of the whole case collapses. Cut it. The horizon is why you know this; it is never why you fund it.
• The aperture is installed and the easement is not. Three years later a development takes the sky and there is no recourse at all. Easement first, always.
• Soiling is nobody's job. An upward-facing optical surface degrades, output falls, and the contract has no performance floor. Put the obligation and the abatement on the provider.
• Split incentive. Landlord owns the roof, tenant pays the electricity, and the saving accrues to the party with no capital at risk. Owner-occupied sites first; for leased sites solve the incentive before the physics.
• The baseline was built after the intervention. Then the result is arguable by anyone who wants it to be, and somebody will want it to be.

Exercise 4.4 — Run the sensitivity before anyone runs it at you

Four assumptions carry the whole case, and a competent CFO will test them in this order. Have the answers on one page.

Note the asymmetry, because it decides where to spend your diligence. The physics — the 40 W/m² — is the best-established input in the table and the one least worth arguing about. The duty cycle and the tariff carry the result, and both are site facts you can measure in an afternoon rather than estimates you have to defend. Measure them first and the meeting is short.

Exercise 4.5 — Write down what would make you stop

One line, in the paper, before you start: if the first cooling season shows displacement below x kWh per square metre, we stop and write down why. A proposal that names its own kill criterion is approved faster than one that does not, and it is the only version of this that leaves you able to bring the next one.

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THE NINETY DAYS ON ONE PAGE

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BOARD PAPER TEMPLATE

One page. Five headings. No cosmology.

1. The position. Our energy intensity has improved x percent a year over five years against output growth of y percent. Here is the gap.
2. The unpriced asset. We control n square metres of unshaded roof above a continuous cooling load, currently generating nothing.
3. The test. Our all-in tariff is z USD/kWh against a break-even of 0.20 USD/kWh on stated assumptions. State the assumptions in the paper, not in an appendix.
4. The instrument. A recorded sky-access easement and an availability contract for displaced cooling. No capital, expensed as incurred, confirmed as a service by our auditors.
5. The decision. One signature, one bay, one baseline, ninety days, and the number that would make us stop.

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APPRECIATIVE QUESTIONS FOR YOUR LEADERSHIP TEAM

1. Where in this business are we already using something free that belongs to nobody — a slope, a river, a wind, a cold night — and who first noticed it?
2. Which of our systems rejects heat, and what would it take to know by Friday the temperature it rejects at?
3. If the standing pack carried one line for value per gigajoule, which of our current arguments would settle themselves?
4. What do we control that depends on a condition somebody else could remove without telling us — a view, an access, a right of way — and what would it cost to record it properly while relations are good?
5. When did we last make a decision that will still look right in twenty years, and what made that possible?
6. Who would have to agree for a contract here to be written as a service rather than a lease, and what do they need to see from us first?