Notes from the journey.
Probability takes a field trip into physics, geometry, and information.
Follow the
surprising connections, with room to play and ask why.
A learning machine that grows its own concepts
Two clues can be useless alone and decisive together. Teach a small learner to grow a shared question, then watch that relationship become a building block.
A picture that arrives as a belief
Compare EPIC and EPICS with modern codecs, watch detail arrive first, and explore images that grow, report uncertainty, and survive repeated saves.
Could the true average lie beyond everything you measured?
Take a few readings, let their average escape the sample, and explore a geometric way to leave room for the world you have not seen.
Forces from a network of messages
Let neighbors pass a signal, watch a field emerge, and discover how a little forgetting gives influence a finite range. A relay experiment leads from local messages to Coulomb and screened potentials.
How words emerge without spaces
Remove every space and a familiar sentence becomes a discovery problem. Place the boundaries yourself, watch prediction reveal reusable chunks, and keep several readings alive.
The two dials of creativity
A surprising answer can begin with a surprising reading of the question. Explore meaning and expression separately, with one word and two controls.
When a probability table becomes a room
Give each possible answer a direction, cast an arrow's shadow, and watch Hilbert space produce familiar beliefs. Then discover a prior that fits one question but cannot fit them all.
When is another question worth asking?
Buy clues in a courier workshop, change the stakes, and discover why the value of a question depends on what you can do with its answer.
The Nature of Evidence
Silence can push a belief, time can reveal what counts conceal, and a change of reference can turn evidence into geometry. Follow two clocks through signals, memory, and the algebra of an observer.
A compass for changing minds
Weigh a belief by its recoil, discover valleys made by feedback, and build instruments for the hidden geography of disagreement.
A field of questions
Follow a single observation through a landscape of related questions, audit impossible probability quotes, and design a sensor that changes a belief as little as possible.
Beliefs in motion, from evidence currents to little universes
Ride an evidence current, feel the cost of changing course, and discover why two identical Beta beliefs can carry different histories.
Evidence atoms: generators, echoes, and a strange mirror
Build a belief that generates predictions, trace its echoes, and explore the geometric moves that turn evidence atoms into a possible chemistry.
Learning travels and cools
Follow one Beta belief as a moving point and a thermal cloud. An exact Gibbs identity reveals how direction, spread, and accumulated trials fit together.
Prime signs, wandering clocks, and the Jeffreys connection
Follow a wandering clock from the Jeffreys prior to prime parity, square lattices, and the interference patterns of Dirichlet beta.
The latent heat of insight
Watch competing explanations trade places, discover the price of flexibility, and explore how memory changes the insights we can sustain.
The world inside a normalizer
The constant beneath a Beta density connects predictions, counting, thermal fluctuations, and motion. Follow it far enough and a missing clock becomes visible.
When beliefs start behaving like organisms
Travel from magnetic avalanches to living traditions, then test how much of a message can survive copying, mutation, and the cost of repair.
When evidence remembers order
Turn a bag of observations into a path. Explore phased evidence, moving frames, twisted worlds, and the Brownian law of shuffled histories.
Where zeta waves fall silent
Follow a belief into logarithmic scale, find a sensor's blind frequency, and explore why the critical half connects interference with statistical inference.
One rapidity, many worlds
A chess advantage, a chemical gradient, a neural score, and a relativistic boost can share one coordinate. Translate 21 connections and explore the predictions they suggest.
A “mean” and “variance” for the Cauchy that has neither
Wrap deviations into bounded trial directions to find the Cauchy peak and a variance with constant line width. An Epistemic Physics derivation meets McCullagh’s location and scale.
A belief is more than a number
Two people can agree on a probability and still carry very different evidence. Follow that missing information into inertia, surprise, and memory.
A cell that measures in rapidity
Receptor occupancy, acid-base buffers, and natural selection share the half-log-odds coordinate of spacetime. Let's build a living sensor around it.
A coin, a magnet, and a learning machine
Follow a binary trial from coin flips into magnetic spins, Shannon compression, and neural gradient descent.
A little π between belief and relativity
A coin, a circle, a spring, and a relativistic energy curve share the same square root. Follow it into the geometry of learning.
A universe written in two inks
Signed evidence opens the whole cone diagram, leading through hyperbolic numbers, electrical currents, and a geometry shaped by the questions we ask.
A workshop for beliefs
Springs, circuits, spacecraft, chemical buffers, and robot maps share a surprising toolkit for building systems that learn. Take Epistemic Physics into the engineering workshop.
A world made of little agreements
Three harmless pairwise wishes can create an impossible world. Follow the geometric conflict into frustrated magnets, sheaf contextuality, and gauge holonomy.
One trial, many echoes
Follow a single observation through an echo chamber, then discover effective sample size, lineage-aware attention, and the geometry of justification.
The best sensor is looking sideways
Why a sideways measurement beats another precise one, and how the spacetime cone connects sensors, springs, and network Laplacians.
When evidence puts on sunglasses
Follow a two-by-two matrix from an evidence ledger into polarizing sunglasses, quantum qubits, and wave interference.