Cardiorespiratory Emergence: Heart and Lung as Coupled Relaxation Oscillators under Reflex Control
This volume derives from the jamming branch of VP Theory → /physics/. Heart and lung are emerged from their measured master-gene stacking stabilities and shown to be the same relaxation oscillator; their reflex loops and coupling, and a shared R19 oncology kernel, follow from that one substrate with deterministic, graded results.
Resting heart rate 1.17 Hz is the single time anchor. Breathing rate 16.86/min, the apnea threshold (loop gain ≈ 1), RSA (HF-HRV lock), the Cheyne–Stokes period (≈ 2× delay), and baroreflex regulation are reproduced; cancer relative risk rises from RR(0)=1 with no threshold.
Sections
- §1 Overview [interpretation]
Heart and lung emerge from their measured master-gene stacking stabilities and turn out to be the same FitzHugh–Nagumo r… - §2 Shared oscillator [interpretation]
Heart and lung are the same FitzHugh–Nagumo relaxation oscillator built on the R19 cubic switch. Only the slow recovery … - §3 Eupnea period [code output]
With one time anchor — the heart's intrinsic rhythm set to the cited resting rate 1.17 Hz — the lung's breathing rate fa… - §4 Apnea threshold [consistency]
Periodic breathing is a delayed-negative-feedback instability of the chemoreflex: ventilation is floored at zero (the ap… - §5 RSA [consistency]
When the respiratory oscillator frequency-modulates the cardiac drive, a high-frequency heart-rate-variability peak appe… - §6 Cheyne–Stokes [code output]
Cheyne–Stokes respiration is the chemoreflex limit cycle in the delay-dominated heart-failure regime, and its period sca… - §7 Baroreflex [L]
A blood-pressure step is corrected by an opposite heart-rate change with the cited sensitivity -1 bpm/mmHg and latency 0… - §8 Carcinogen dose–response [consistency]
A carcinogen is a sustained bias that lowers the R19 switch barrier, so malignant-crossing rate is Kramers over that bar… - §9 Reproducibility & grades
Every claim on this site carries one grade: [consistency] by the substrate, [code output] reproduced and checked, [L] anchored to a c… - §10 From DNA: the emergence chain [interpretation]
The cardiorespiratory dynamics descend from DNA: the master genes NKX2-5 (heart) and NKX2-1 (lung) carry measured stacki… - §11 Shared-substrate spectrum [interpretation]
The same three primitives — the R19 switch, the FitzHugh–Nagumo oscillator, and the delayed chemoreflex loop — reproduce… - §12 Methods & reproducibility [code output]
Every number is regenerated by one deterministic engine: a two-run identical SHA-256 with drift 0. A single command emer…
Grade ledger
Every claim was graded: [F] forced by the substrate, [V] reproduced and checked, [L] anchored to a cited value, [O] open with a stated obstacle. Under the 2026-09-29 reading rule the section labels above replace [F]/[V] for biological claims. The open items are the absolute cancer relative-risk magnitude and organ size (relative size and developmental order read from γ are also open [O], dna §RB); both are detailed in §9.
Related volumes
Organ identity and developmental order are cited from the 4D-DNA Blueprint; the R19 switch and jamming-lattice substrate are from VP Theory; the felt/interoceptive arm is in Felt Cognition, which cites this volume for cardiac mechanism. The full DNA emergence chain for this volume — gene → γ → R19 switch → oscillator — is set out in §10.