The ε Arc¶
The framework's primary object is the transition itself — not any particular point on it, but the continuous arc from ε = 0 to ε = 1. This transition is not a policy choice, a historical stage, or a development theory. It is a physical consequence of how entropy obligations get fulfilled. As machines take over more of the work that entropy demands, human labor is progressively liberated. The transition describes that liberation quantitatively.
What Changes with ε¶
| Quantity | ε = 0 | ε = 0.40 | ε = 0.99 |
|---|---|---|---|
| Human share of EOH fulfillment | 100% | 60% | 1% |
| Personal EOH on collective ledger | ~0% | ~14% | ~87% |
| TEH prices (relative to ε=0) | 1.0× | ~0.72× | ~0.11× |
| Care registration share | ~5% | rising | ~95% |
| Source of TEH destruction | income-driven | mixed | biology-anchored |
These are illustrative numbers, not hard limits.
What Does Not Change with ε¶
The physical reality of entropy. Personal bodies still need food, water, shelter, and care regardless of how automated the production systems are. Infrastructure still degrades. Ecological systems still require stewardship. Knowledge still atrophies. The four entropy domains are invariant. What changes is who — or what — fulfills the obligations they generate.
What ε Does Not Determine¶
The physical state of the capital stock, ecosystem, and population. A civilization could reach high automation with an aging, neglected capital base — or low automation with rich ecological infrastructure. ε measures the fulfillment split, not the quality or quantity of the physical assets.
The ideal arc (the canonical trajectory) describes expected physical state at each ε for a civilization that invests optimally, but real civilizations diverge. EOH functions measure the physical state they are given; ε tells them how much of the resulting obligation falls on humans versus machines.
Coherence at the Extremes¶
Arc coherence requirement
Any mechanism that only works at ε = 0.40 (the current calibration reference) is calibrated for a moment, not for the arc. The test is whether it produces physically grounded results at both extremes.
At ε = 0: The ledger sees almost no registered activity — most personal EOH is private, most production is household-scale, and TEH barely circulates. The framework must remain well-defined in this regime, not merely degrade gracefully to it.
At ε = 0.99: Prices have collapsed, human labor is near-zero, and TEH destruction approaches zero despite full real consumption. The ledger must remain solvent, the floor must still rise, and the account identity must still hold.
D3's Shape as the Signature of the Transition¶
Terminal TEH destruction (D3) rises as ε grows — more personal EOH moves onto the collective ledger, more goods are priced and consumed within the system. Then it falls as basket prices collapse faster than registration grows. That rise-then-fall arc is what a mechanism that correctly expresses the transition looks like.
D2 was income-driven and calibrated to the middle of the arc — it could not produce this shape. Every mechanism should be interrogated for whether it expresses the transition's arc or merely approximates one point on it.
The Four Arc Waypoints¶
ε = 0 — Subsistence: Nearly all labor is personal EOH fulfillment, most of it internal to the household and unregistered by the collective ledger. The formal monetary economy is small. Personal EOH on-ledger is near-zero. Focus: building infrastructure that begins reducing personal EOH burden and expanding the scope of collectively registered labor.
ε = 0.40 — Current equilibrium: Production has substantially reduced personal EOH. A growing capital stock generates increasing infrastructure and ecological EOH. Production and stewardship labor are well-established in the collective ledger. Focus: scaling production, beginning the shift toward stewardship capacity, and progressively admitting care labor to the ledger as the collective's stake in human capital formation rises.
ε = 0.90 — Near-post-scarcity: Automation handles most production and much stewardship. Personal EOH in human-labor terms is low. Care labor is broadly registered and compensated. Focus: maintaining distributed competency, sustaining ecological systems, and fully recognizing care as the economy's core function.
ε = 0.99 — Effective post-scarcity: Remaining human labor is almost entirely care, judgment, and knowledge maintenance — all registered, all compensated. Prices have collapsed. TEH supply contracts on both creation and destruction sides simultaneously. Focus: ensuring the floor rises with automation, sustaining the knowledge EOH domain, and preserving the human capacity to intervene when automated systems fail.
See also: Three Economies — how the center of economic gravity moves along this arc.