Research · Lineage

Two centuries of physics, traced into eight instruments.

Chiral didn't invent these mechanisms, it implemented them. Follow the thread from the original discovery to the plugin it became, and read the paper or run the lab at each stop. For how this catalog sits in the wider landscape of science-based music software, read the field guide.

1834 first observation1975 latest law8 instruments shipped10 papers
The 19th century · observed in the world
1834Union Canal, Scotland
J. S. Russell · the solitary wave

An engineer chases a wave that refuses to break.

Following a boat's bow wave on horseback for two miles, Russell watches a single heap of water hold its shape. The founding observation of soliton theory, sixty years before the equation that described it.

became →
Soliton
Dispersion-balanced delay
Read
1838Brussels
P. Verhulst · logistic growth

Growth that feeds itself, then hits a ceiling.

dx/dt = r·x·(1 − x / K)

Verhulst's curve describes a population that accelerates, then saturates against its carrying capacity. Autocatalysis runs sixteen resonators on that law, harmonics that bloom, compete, and self-limit without ever clipping.

became →
Autocatalysis
Logistic resonator bank
Read
1868Vienna
L. Boltzmann · statistical mechanics

The probability of a state falls with its energy.

pᵢ ∝ exp(−Eᵢ / kT)

Boltzmann gave disorder a temperature. The instrument sequences pitch by that distribution: cold sits near the ground state in a tight motif; heat the system and it scatters into high-entropy melody, every state a valid phrase.

became →
Boltzmann
Statistical-mechanics sequencer
Interactive labRead
1889Stockholm
S. Arrhenius · the rate law

Heat a reaction and it runs exponentially faster.

k = A · exp(−Eₐ / RT)

Arrhenius fixed how reaction rate depends on temperature: a larger fraction of molecules clears the activation barrier as the system warms. Arrhenius gates audio events by that same factor, so a single Temperature control sets how often the instrument fires, from a frozen, sparse loop to a dense, boiling one.

became →
Arrhenius
Reaction-kinetics gate
Interactive labRead
1895Amsterdam
Korteweg & de Vries · the KdV equation

The equation that finally caught Russell's wave.

∂u/∂t + u·∂u/∂x + ∂³u/∂x³ = 0

Dispersion and nonlinearity, set against each other, produce a pulse that propagates without spreading. Soliton's eight dispersion stages and saturator recreate that balance, so each repeat reshapes itself instead of smearing.

became →
Soliton
Dispersion-balanced delay
Interactive labRead
The 20th century · formalized into law
1916Eastern Front
K. Schwarzschild · the first exact solution to GR

Clocks run slower the deeper they sit in a well.

α(r) = √(1 − r_s / r)

Solved from a trench within months of Einstein's field equations, the Schwarzschild metric sets a clock rate at every radius. Geodesic places delay taps at radii: near taps redshift and slow toward a frozen horizon, far taps keep their time.

became →
Geodesic
Time-dilation delay
Interactive labRead
1946Corning glassworks
A. Q. Tool · fictive temperature

Glass remembers how fast it was cooled.

dTf/dt = (T − Tf) / τ(T)

Cool a liquid faster than its structural relaxation time and disorder freezes in as glass rather than settling into the ordered crystal. Tool's fictive temperature records that cooling trajectory, not the instantaneous reading on the thermometer. Anneal gives every patch the same memory: quench it and the same knob position yields 17.3 cents of frozen disorder, anneal it slowly and it settles to a 0.95-cent crystal.

became →
Anneal
Glass-transition synthesizer
Interactive labRead
1958Bell Labs
P. W. Anderson · localization

Enough disorder, and a wave stops moving.

ψ(r) ∼ exp(−r / ξ)

Anderson showed that disorder can trap a wave in place rather than scatter it onward. Anderson Freeze raises spectral disorder until a sound localizes and stands still, a freeze with no loop point, held by a quantum-Zeno hold.

became →
Anderson Freeze
Spectral localization
Interactive labRead
1975Kyoto
Y. Kuramoto · coupled oscillators

Weakly coupled, they spontaneously fall into step.

dθᵢ/dt = ωᵢ + (K/N) Σ sin(θⱼ − θᵢ)

Past a critical coupling, a population of oscillators with different natural frequencies synchronizes. Foxfire turns that phase transition into a chorus that drifts, locks, and breaks apart, the order parameter made audible.

became →
Foxfire
Kuramoto chorus
Interactive labRead
Nexton the bench
In development

The thread continues.

Chemotaxis (gradient-following), Lattice (crystalline reverb), Hysteresis (magnetic memory), and more candidate phenomena are being tested against the same standard: does the equation map cleanly onto sound?