Dynamics of Belief

Stable State A
Stable State B
System State: Stabilizing...
Energy: Low

The Landscape of Conviction

We often talk about changing minds as if it’s a binary switch: you see a counter-example, you flip. This is Folk Popperism: the idea that a single black swan instantly falsifies the “all swans are white” theory.

But minds don’t work like logic gates. They work like dynamic systems settling into energy wells.

Bayesian Friction

In this visualization:

  • Basins are Priors: The depth of a basin represents the strength of your prior belief.
  • The Particle is Posterior: Your current state is a negotiation between the landscape (priors) and the noise (evidence).
  • Resistance: When you’re deep in a “strong belief” basin, small contradictory evidence (noise) doesn’t push you out. It just rolls you a bit up the wall, and you slide back down. You interpret the anomaly within your current frame.

Escaping the Basin

To change a deep-seated belief, you need more than just a fact. You need:

  1. Massive Error (Perturbation): A shock so large it kicks you over the ridge.
  2. Flattening (Unlearning): Reducing the precision of your priors (shallowing the basin) so the state becomes mobile again.

This explains why “facts don’t care about your feelings” is practically wrong: facts alone rarely have enough kinetic energy to escape a deep geometric attractor.