Dynamics
Nearby Worlds
Two states begin eight decimal places apart. No randomness is added. The same law carries them into visibly different futures.
Exhibitions
Encounters with systems that change.
Short public encounters with dynamics, computation, perspective, scale, instability, and structure. Each begins with a phenomenon before asking what it might mean.
Thirteen encounters.
The analogies are invitations, not substitutions for the model. Where an encounter rests on an executable system, the underlying model and its boundary remain separate from the everyday language used to enter it.
Dynamics
The Horizon of Prediction
Measurement precision buys forecast time, but not an indefinitely knowable trajectory.
Emergence
Pattern Without a Blueprint
Reaction and diffusion turn a small local disturbance into a structured field without any global pattern being specified.
Collective
Flock Without a Leader
Hundreds of agents see only nearby headings. No leader exists, yet the population develops a shared direction.
Waves
The Crest Is Not the Message
In a dispersive packet, individual crests move through the envelope. The visible oscillation and the transported packet are not the same thing.
Waves
Two Solitons Pass Through
Two nonlinear waves collide strongly and then re-emerge with their characteristic shapes intact.
Criticality
The Return Path Is Different
A bistable system can remain trapped in a metastable state, so reversing the control does not retrace the same history.
Inverse problems
Two Worlds, Same Evidence
Different hidden objects can fit the same declared observations exactly.
Many scales
Reversible Parts, Irreversible Story
A deterministic system can be exactly reversible while its coarse description loses order for long intervals.
Instability
A Sideband Eats the Carrier
A tiny modulation grows until a nearly uniform nonlinear wave reorganizes into intense localized pulses.
Computation
Signals Have a Cone
A local update rule cannot transmit a difference faster than its neighborhood radius allows.
Computation
Reversal Needs the Missing Bit
Exact reversal becomes possible when the update keeps information an ordinary step would discard.
Topology
A Loop Remembers
A closed loop can change geometry continuously while an integer describing how it surrounds the origin remains unchanged.
Longer work
Some encounters become research programs.
Exhibitions are a public way into the questions. Research preserves the methods, evidence, failures, and standing needed when the question becomes more consequential.