Author: Jack Kowalski <jack@entropment.com>

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 \mathbb 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.