SelfSustaining
plain-language theorem explainer
The SelfSustaining definition sets the net-positive power threshold for a vacuum pump by requiring output power to exceed the power needed to sustain resonance. Modelers of entropic energy devices in Recognition Science cite this condition when checking whether a metric engine can produce ordered vacuum states from thermal input. The definition reduces to a direct real-number inequality with no further computation or lemmas applied.
Claim. A vacuum pump satisfies the self-sustaining condition when its output power satisfies $P_ {out} > P_ {drive}$, where $P_ {drive}$ denotes the power required to maintain resonance.
background
The module states the RS hypothesis for vacuum pumping as entropic energy generation. Standard thermodynamics converts work into heat with entropy increase, whereas RS thermodynamics orders vacuum fluctuations to absorb heat and decrease entropy. The device acts as a metric Maxwell's Demon that lowers J-cost by sorting fluctuations and pays for the ordering by drawing thermal entropy from the environment. Energy balance takes an initial pulse plus environmental heat as input and returns ordered vacuum (thrust or metric coherence) plus EMF as output, yielding apparent over-unity relative to stored fuel but exact unity relative to the total environment.
proof idea
The definition is a one-line wrapper that states the inequality between the two real parameters. No tactics or upstream lemmas are invoked; the body directly encodes the threshold supplied by the module comment on induced EMF exceeding drive power.
why it matters
The definition supplies the Self-Sustaining Threshold inside the Vacuum Pump hypothesis, completing the local energy-balance statement for metric engines. It supports the broader Recognition Science claim that vacuum ordering can produce net EMF while remaining consistent with total-environment conservation. No downstream theorems yet reference it, leaving open its integration with frequency scaling or metric-stiffness calculations from the imported CPM2D and ILG modules.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.