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• On a positive field, the positive piece will remain on board.
• On a negative field, the negative piece will remain on board.

And if neither piece is appropriately charged? Presumably the capture takes place as normal? (unless both are oppositely‐charged, in which case they repel)

If a negative piece attempts to capture a negative piece on a negative field, the shortcircuit rule does not apply

I assume you meant ‘neutral’ here?

If a shortcircuit happens, the two pieces will change colors, and the field will reverse its charge:

If a nonroyal nonn̈eutrally‐charged King is short‐circuited, since it has the right charge (+^ve for black‐becoming‐white, −^ve for vice versa), does it become a second Royal for its new owner? Since you specify Royalty of Kings as a primary property and charge in terms of royalty I assume not, but just to be sure…

When two pieces change colors they will also swap their initial positions

I'm not clear on the relevance of this; as far as I can tell once a piece has moved in this game its initial position becomes irrelevant. Or did you mean they repel each other in the opposite direction compared to how they would without a colour change?

All Kings (of a player) behave as non Royal Kings until the Royal King is revealed.

So it's also possible to capture a king outriight? If it hasn't tried to capture anything and is attacked either on a Neutral space or on an oppositely‐charged space by an oppositely‐charged or neutral piece