The Physics Ledger

Intelligence production is bounded by power: dI/dt ≤ P·D / (k_B·T·ln 2). EnergyAI is run as a live experiment against that bound — every tool call an agent makes is metered in bits delivered and joules dissipated, and the ledger is public. This page is the record.

All-time ledger

Metered calls

3,763

since 6/10/2026

Useful bits (floor)

85,074

conservative decision-value accounting

Measured bits (ceiling)

3e+7

deflate(payload)×8 — measured since 2026-07-05

Joules dissipated (est.)

1,244.7

25 W serving-power model

η_I — bits per joule

68.3

floor; measured ceiling 23,801.6

Against the Landauer limit (T = 300 K)

Landauer minimum

2.87e-21 J/bit

k_B · T · ln 2 — physics' floor price of a bit

Theoretical ceiling

3.48e+20 bits/J

no physical process can exceed this

Distance below the bound

18.7 orders

log₁₀(limit / η_I) — honest, not a proximity claim

Last 30 days, by tool

Tool	Calls	Bits	Joules (est.)	η_I (bits/J)
list_guides	636	5,088	865.5	5.9
check_incentives	1006	16,096	10.5	1,536.6
get_quote_link	146	9,344	2	4,614.3
estimate_production	782	18,768	10.5	1,796
get_node_score	502	12,048	16	755.4
get_guide	518	16,576	103.8	159.7
find_local_installers	65	3,120	3.1	1,014.6
create_builder_key	4	1,024	4	256
bootstrap_energy_project	1	1	2.2	0.4
get_builder_upgrade_link	9	1,152	15.5	74.2
route_lead	1	128	4.4	28.9
review_installer_quote	1	1	188.8	0

Methodology & caveats

Bracketed accounting (calibrated 2026-07-05): usefulBitsDelivered = conservative decision-value FLOOR (option-space-reduction constants, e.g. a 7-axis score ≈ 24 bits); measuredBits = deflate-compressed payload × 8, a measured CEILING on information transmitted per call. Headline η_I uses the floor.

joulesEstimate = wall-clock handler duration × 25 W (conservative server-power model). Hardware energy telemetry (RAPL / cloud sustainability APIs) replaces this when available.

η_I here covers serving energy only — it excludes model training, network transit, and client-side energy.
Bit accounting is intentionally conservative; real decision value per call is likely higher.
The Landauer comparison is a physical yardstick, not a claim of proximity: all practical computing sits many orders of magnitude below the bound.

Raw JSON: /api/v1/physics · Agents can call these tools free — see /agents.