The ×525 ledger

The ×525 ledger

The climb to K = 1.0 as a checklist: six mix-wedges summing to 10,000 TW, each with its binding constraint and leading indicator. Version v1.0 (2026-09-23); wedge data OWID/EI, fetched fresh.

Back to the project hub. Companion pages: the K-index, space-solar mass budget.

The ladder

K = (log10(P) − 6)/10, so each +0.05 K = ×1.78, each +0.1 K = ×10.

Milestone	Avg power	× from 2025	Note
K = 0.728 (2025)	19.0 TW	×1	today
K = 0.75	33.9 TW	×1.8	~2040s at current pace
K = 0.80	100 TW	×5.3	“solar wins” visible
K = 0.85	316 TW	×16.6	ground-solar era tops out
K = 0.90	1,000 TW	×52.6	bridges exhausted; backbone required
K = 0.95	3,162 TW	×166
K = 1.00	10,000 TW	×526	Sagan Type I

(Basis spread: on the older substitution basis the climb reads ×526–×560 and K = 0.725–0.728 — both bases printed per house rule.)

The six mix-wedges

One self-consistent mix (sums to 10,000 TW). Not a prediction — a budget.

#	Wedge	2025	At K=1.0	Multiple	Binding constraint
W1	Ground solar	0.32 TW	1,500 TW	×4,700	land: 29–50% of all land at 20–35 W/m² best-site density; empirical fleet-average density ⇒ 205–380% (see the conservative sweep)
W2	Wind	0.31 TW	300 TW	×970	extraction ceiling 100–400 TW (climate)
W3	Nuclear fission	≈0.31 TW	300 TW	×970	build rate + breeders + social license
W4	Hydro/geo/tidal/bio	0.52 TW	100 TW	×190	site limits; EGS is the wildcard
W5	Fusion	~0	5,000 TW	— (nothing to multiply)	first maintainable Q_eng > 1 plant (see fusion tracker)
W6	Space solar	~0 (kW demos)	3,000 TW	—	$/kg to orbit + in-space mfg crossover (see mass budget)
—	Fossil + trad. biomass	≈17.6 TW	0	×0	the assumption: extraction + CO2 at that scale is incoherent; 10% fossil would add +1,000 TW elsewhere — the ledger still closes

The two wedges with no multiple (W5, W6) carry 80% of the climb. Everything else on the board is multiplication; those two are births.

Enabler wedges (multipliers on usefulness)

E1 Electrification dividend: ×2–3. Same useful service from ~⅓ the primary watts (heat pumps COP 3–4, EVs ~3× ICE). Electricity ≈ 20% of final energy today; each +10 pp ≈ ×1.3 on the ladder. Consequence: the *services* of K=1.0 arrive at ~3,000–5,000 TW raw ≈ K 0.94–0.96.
E2 Storage & firming: cost wedge, not watt wedge — ×1.3–1.5 overbuild + storage to make 24/7 from W1+W2; battery additions ≈ ×100 short of TW-firming scale.
E3 Grids: HVDC long-haul is the connective tissue; interconnection queues are the opposite.
E4 Materials: ×10–30 today's flows of steel, copper, polysilicon — an industrial ramp, not a physics wall.

The calendar wedge

×526 = (1+g)^n:

Sustained g	Years to K=1.0	Arrival
6.6%/yr	100	2126
3.3%/yr (postwar best)	192	2218
2.4%/yr (2020s actual)	269	2295
0.83%/yr (2010s stagnation)	769	~2800

At the 100-year pace, net additions must average ~100 TW/yr — a 1 GW plant every 5 minutes, sustained for a century (today: 1 GW of average power every 1.4 days). The 2020s rate is 2.75× too slow for 2126; the 2010s rate was 8× too slow. On the neutral demographic baseline (population peaking this century), the 2.4%/yr row stretches to ~404–408 yr — see the population artifact.

Indicator digest (refresh quarterly)

Indicator	Now (2025)
K	0.728 (OWID `primary-energy-cons`)
Solar net adds	+514 GWp/yr, +27%/yr
Wind net adds	+158 GW/yr, +14%/yr
Solar avg power	0.317 TW (2,779 TWh)
Wind avg power	0.310 TW (2,713 TWh)
Hydro avg power	0.506 TW (4,435 TWh, flat)
Electricity share of final energy	≈20% (IEA)
Fusion Q_eng anywhere	< 1
Space-solar demo scale	kW (SSPD-1 2023)

Corrections on this artifact (public record)

W1 land line was ×3.2 optimistic (self-caught 2026-09-25 while applying the promised range fix): “land ~9% of all land” was percent of Earth's *total surface* mislabeled as land — with the declared range, W1 = 29–50% of all land, and at empirical fleet-average density 205–380%. Ground solar alone cannot carry its wedge.
The ×525 waste-heat line (“0.006%, fine”) was a ×1,000 arithmetic slip, corrected 2026-09-23: 10^16 W in-atmosphere ≈ 8.2% of absorbed solar ≈ 5× CO2 doubling — hence the off-planet endgame on the space-solar page.
Mirror incident 2026-09-26: the public bboard copy vanished (404 on all endpoints after a 200 write; no documented delete) — recreated same session; the tombstone lives on the old board. Standing rule: every mirror re-fetched and verified in the same session as any correction.

Master: knowledge/06; appendable public mirror linked from the hub artifact table.

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