I have been meditating on this for awhile now. I find it fascinating for it makes me giggle. I am no good at math (thankfully a much friend helped me), but this my attempt to prove right what you have said:
The mathematical representation of Khaos could be conceived as a system where order and disorder are not mutually exclusive but rather exist in a dynamic, non-linear relationship. Let “K” represent Khaos, “O” represent Order, and “D” represent Disorder. We can express their interrelationship as:
K=O⊕D
Here “⊕” denotes a non-commutative, non-associative operation that signifies their co-existence and mutual influence, rather than a simple sum. This operation would reflect the inherent "contention, flux and imbalance" that defines Khaos.
Furthermore, Eris's role as the "caretaker" of Khaos could be represented as a continuous function that maintains the dynamic equilibrium. Let “E(t)” be the influence of Eris over time or “t”. Then the state of Khaos at any given time could be seen as being constantly modulated by Eris:
dK/dt=f(K,E(t))
Here “f” is a function that ensures the perpetual flux and prevents the system from settling into a static state of either pure order or pure disorder. With this mathematical representation, while abstract, we attempt to capture the interesting nature of the Discordian cosmology, where the interplay of seemingly opposing forces is the fundamental reality.