Same destination, different history.
Two executions can end near one another while having followed very different paths.
Geometric Memory
A state does not always explain how we got there.
Geometric Memory shifts attention from the current value to trajectory, precedents and path differences that can remain invisible in a purely data-centric reading.
Memory as precedent.
The goal is to compare a current path with previous experiences without assuming that one state summarizes everything.
Evolution
The theory changed with measurement.
Some early formulations were corrected when execution and larger corpora exposed their limits. The ability to revise the model is part of the work, not a flaw to hide.
A global representation seemed sufficient.
The first formulation was simpler and more ambitious.
Behavior at scale did not confirm everything that was expected.
Measurement forced a distinction between what was established and what was not.
Reasoning becomes more local and more cautious.
Nearby precedents become more important.
Trajectory remains central, with explicit limits.
Useful memory must also be able to say that it cannot determine.