pith. sign in
def

referenceSpeed

definition
show as:
module
IndisputableMonolith.Combustion.FlameSpeedFromPhiLadder
domain
Combustion
line
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plain-language theorem explainer

The referenceSpeed definition sets the base laminar flame speed to the dimensionless constant 1 in RS-native units. Combustion researchers modeling premixed flames on the phi-ladder cite this as the zero-rung anchor for scaling predictions across fuels. The definition is a direct constant assignment with no computation or hypotheses.

Claim. The reference laminar flame speed $S_{L,0}$ equals the dimensionless constant 1 in Recognition Science native units.

background

The module develops laminar flame speed predictions on the phi-ladder, where each integer step in chain-branching intensity multiplies $S_L$ by exactly the golden ratio φ. The referenceSpeed serves as the base case at rung zero. Upstream rung definitions establish the integer ladder structure in contexts such as particle masses and ore classes, providing the discrete steps used for scaling here.

proof idea

The definition is a direct constant assignment of the real number 1.

why it matters

This definition anchors the flameSpeed computation that scales the reference by φ^k for rung k, supporting the structural prediction that adjacent-rung ratios equal φ. It connects to the self-similar fixed point φ from the forcing chain and the eight-tick octave structure. The module documentation notes empirical bench values for methane-air, ethylene-air, and hydrogen-air that align with the ladder ratios within calibration tolerances.

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