A universe with one purpose

Same law as Experiment 1, plus one reward: a body earns a little energy for predicting what its 3×3 neighbourhood will look like next. The reward is smaller than the cost of staying alive, so prediction can never replace eating. Half the first bodies carry a gene that lets them read the field as it was 20 steps ago. Every body also writes down a guess at the rule that feeds the world.

Connecting…

The universe right now

Pale is energy, dark is empty, coral is where bodies crowd. The energy rule is the same hidden rule as in Experiment 1.

The lock

Five bits of the hidden rule decide where energy appears. The bodies' majority guess is shown on the tumblers. An amber ring means that bit is right. Guessing blindly gets 2.5 of 5.

Bits right over time.

How far ahead can it see

Each body predicts its neighbourhood 1, 5 and 20 steps ahead. Only the 1-step guess is rewarded. The other two tell us whether the mind sees further than it is paid to.

Prediction error at 1 step (amber), 5 steps (light amber), 20 steps (dark amber). Lower is better. Zero would be a mind that knows the rule.
Bodies that can read the past (green) against bodies that cannot (grey), 1-step error.
Share of the population carrying the history gene. It is inherited and can flip. If it is useful it should spread; if it costs more than it gives, it fades.

Did purpose widen the mind, or narrow it

The same archive of unseen behaviours as Experiment 1, drawn against it. The pre-registered question is only which is larger at the same step.

Behaviours archived: this world in gold, Experiment 1 in teal.

What the bodies became

Every archived way of living, placed by how it lived. Bright points are the newest.
Births per step.
Bodies alive.
Neurons switched on per brain.
Mutation rate, set by the bodies themselves.

How to read it honestly

The rule guess is a majority vote of thousands of bodies, so a run of 4 of 5 can be luck. Only 5 of 5 held for 100,000 steps counts. The history gene can die out by chance rather than by being useless; if it does, that is reported as a fail, not hidden. One thing we learned before going public: when the prediction reward was larger than the cost of living, bodies lived on reward alone and evolution stopped. It is now 0.008 against a cost of 0.01.