The hidden springs of a belief
Find Gaussian springs inside a Beta belief, then listen with complex rotating arrows.
Explore the survey 17 min All fields By Field · Formal worlds Survey · 2 interactive demos Survey · 4 interactive demos Survey · 2 interactive demos Survey · 2 interactive demos Survey · 3 interactive demos Survey · 3 interactive demos Survey · 2 interactive demos Survey · 3 interactive demos Survey · 2 interactive demos Survey · 2 interactive demos With an interactive demo Keep crossing boundaries
Mathematics
What structures are hiding inside two positive numbers?
Find algebra, geometry, and dynamics inside evidence coordinates.
10 readings · 3 subfieldsAlgebra
What changes when the square of an imaginary unit becomes positive?
Complex numbers · Split-complex numbers · Mathematical physics
When evidence takes different roads
Reconstruct beliefs from report fragments, hidden causes, active questions, and complex joint tables.
Explore the survey 26 minWhen a channel carries mass
Read channel overlap as cone mass, turn a Lorentz factor into an error exponent, and discover when forgetting labels costs information.
Explore the survey 22 minA decoder that computes in rapidity
Build a decoder from two cone operations: multiply velocities to check parity, add rapidities to combine messages, and watch information polarize.
Explore the survey 17 minLocal to global
When can several locally sensible descriptions fit into one world?
Category theory · Sheaves · Stacks · Topology
When the numbers refuse to fit
Test joint possibilities, pay for signed weights, and follow evidence through time.
Explore the survey 21 minHow to read a living landscape
Turn cell axes, follow molecular journeys, and discover new categories without losing old answers.
Explore the survey 16 minAnalysis & dynamics
Which behavior comes from a distribution and which comes from its dynamics?
Analysis · Dynamical systems · Fractals
The hidden springs of a belief
Find Gaussian springs inside a Beta belief, then listen with complex rotating arrows.
Explore the survey 17 minEvolution has an order
Explore selection, mutation, lineage histories, and the Beta distributions of wandering populations.
Explore the survey 18 minA cell chooses what to remember
Gene switches preserve chosen fates; adapting receptors remember the background to keep noticing change.
Explore the survey 17 minA compass can hide two destinations
Compare directional populations that share one average but tell different stories.
Explore the survey 10 minStrong clocks, a quiet chorus
Discover how strong cellular clocks can cancel the collective rhythm.
Read the article 12 min