Chiralkine exploits the fundamental principle that reflection in a mirror plane reverses orientation along the axis perpendicular to the mirror plane, while retaining it along the axes parallel to the plane, to create a system of information processing that is simultaneously both chiral (handed) and mirror-symmetric (achiral overall in certain contexts).
This is accomplished through the following steps:
Relational definition: Chiralkine defines objects relationally (as a distinction between what an object is and what it is not) rather than as fixed entities. This allows for a dynamic and context-dependent interpretation of “handedness”.
Dual processes (XOR and XNOR): The system uses two mirror-opposite processes, based on the truth tables for Boolean XOR and XNOR logic gates. When viewed independently, each process appears to have a single, fixed “handedness” or orientation (e.g., clockwise or anticlockwise rotation in a ring of values).
Symmetry conservation via anticommutativity: The key insight is that while the standard commutative interactions (where order doesn’t matter) maintain the appearance of symmetry, an underlying anticommutative mechanism enables “tunnelling” or conversion between the two mirror-opposite (chiral) forms. This is because in an anticommutative interaction, clockwise and anticlockwise rotations (representing the opposite chiral forms) produce opposite results, allowing for controlled interconversion.
Exploiting the directional difference: The system uses the directional nature of chirality change under reflection. By combining these commutative and anticommutative interactions in a specific cycle, chiralkine ensures that the overall system conserves mirror symmetry (is achiral in the aggregate) through a unitary transformation, but the individual components and processes still exhibit and can transition between specific chiral properties. This allows for a novel way to process information that treats both sides of a relationship “mirror symmetrically”. In essence, chiralkine uses the precise rules of how orientation changes (or doesn’t) along different axes during a reflection to manipulate and manage seemingly mutually exclusive “handed” properties within a single, unified, and ultimately non-chiral system.