Data Entropment Labs https://entropment.com
Author: Jack Kowalski <jack@entropment.com>

Patent Pending


ENGINEERING NOTE: Representation-Induced Behavior
------------------------------------------------

This implementation intentionally relies on properties of IEEE-754
floating-point arithmetic as a computational substrate.

Key points for implementers:

- The algorithm does NOT assume exact arithmetic over ℝ.
- Floating-point rounding, exponent scaling, and mantissa truncation
  are treated as deterministic projection operators.
- Observed attractors and quasi-stable states arise from the global
  geometry of the floating-point lattice, not from numerical noise.
- Behavior is stable across rounding modes and precision reductions,
  indicating representation-level invariance rather than
  implementation artifacts.

From an engineering perspective:
- This is expected behavior.
- This is reproducible behavior.
- This is architecture-consistent behavior.

Attempts to "fix" these effects by enforcing real-number identities
(associativity, exact cancellation, symbolic reordering) will destroy
the intended dynamics of the system.

This code operates in a representation-induced projective algebra,
not in an ideal real-number field.