RunawaySignature
plain-language theorem explainer
The runaway acceleration predicate defines the condition under which an unloaded vacuum pump exhibits unbounded rotation rate increase. Researchers modeling entropic energy devices cite it to distinguish RS-based generators from conventional ones that remain stable under zero load. The definition consists of a direct logical implication between zero load and positive rotation speed.
Claim. The predicate for runaway acceleration holds precisely when zero load implies positive rotation speed: $load=0 implies rpm>0$.
background
The VacuumPump module formalizes the thermodynamics of a Metric Engine acting as a generator through entropic pumping. In RS thermodynamics, ordering the vacuum leads to heat absorption and entropy decrease, in contrast to standard work-to-heat conversion. The device sorts vacuum fluctuations to lower J-cost and absorbs thermal entropy from the environment to pay for it. Energy quantities are represented as real numbers in RS-native units.
proof idea
The definition directly encodes the implication that zero load yields positive RPM, serving as a one-line characterization of the runaway condition without further lemmas.
why it matters
This definition supplies the RS falsifier for runaway acceleration in the vacuum pump hypothesis. It marks the distinction from conventional generators as stated in the module documentation. Within the Recognition Science framework it relates to the energy balance of initial pulse plus thermal input yielding ordered vacuum and EMF output. It highlights the stability question for such over-unity devices.
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