How cold can you make something? 0K is cold, but it doesn't describe how cold it feels.

Something with 0 heat capacity but 0K would not cool down anything. It would be a perfect mirror-finish and be a perfect insulator.

Suppose we made a 0K object that was the opposite of a perfect insulator. A perfect heat-suck.

Every particle that touches it loses almost all kinetic energy. The air turns to solid. Maybe to make it useful, it isn't quite zero, and it actually pushes the resulting solids away so they don't stick or somesuch.

How far away is does this energy-sucking aura go? The blade isn't really stuff at this point (as even stuff isn't stuff). We could imagine a blade that cooled things off rapidly within a range of a few mm or cm, unless contained by handwavium. The hilt and scabbard would contain said handwavium, preventing the rabbit from being frozen.

Swung through a target, it would freeze the flesh. This would prevent immediate bleeding, but effetively kill everything near the blade. If we add in the repulsion thing, where it prevents solids from being solid, it could cut through the frozen flesh as if it wasn't there.

So now you have a weapon that is an "ice blade". It generates flakes of frost when exposed to air. When it cuts into something, it leaves a clean cut with frozen edges. It behaves a lot like you'd expect a "frost blade" to behave like.

The blade cutting strait though flesh is most of the damage, but the whatever radius of leftover frozen flesh both increases the long-term damage and reduces the short-term damage (as the target doesn't bleed out ... until it defrosts).

The weapon is an infinite black with frozen flakes of "snow" falling off it. This "snow" mostly frozen air. The rabbits have a long handle and a large guard. Their scabbards have a "funnel" of handwavium at the entrance to keep the blade away from their flesh. "Grabbing" the blade leaves you with a frozen hand that dies as it thaws out.

How cold can you make something? 0K is cold, but it doesn't describe how cold it feels.

Something with 0 heat capacity but 0K would not cool down anything. It would be a perfect mirror-finish and be a perfect insulator.

Suppose we made a 0K object that was the opposite of a perfect insulator. A perfect heat-suck.

Every particle that touches it loses almost all kinetic energy. The air turns to solid. Maybe to make it useful, it isn't quite zero, and it actually pushes the resulting solids away so they don't stick or somesuch.

How far away is does this energy-sucking aura go? The blade isn't really stuff at this point (as even stuff isn't stuff). We could imagine a blade that cooled things off rapidly within a range of a few mm or cm, unless contained by handwavium. The hilt and scabbard would contain said handwavium, preventing the rabbit from being frozen.

Swung through a target, it would freeze the flesh. This would prevent immediate bleeding, but effectively kill everything near the blade. If we add in the repulsion thing, where it prevents solids from being solid, it could cut through the frozen flesh as if it wasn't there.

So now you have a weapon that is an "ice blade". It generates flakes of frost when exposed to air. When it cuts into something, it leaves a clean cut with frozen edges. It behaves a lot like you'd expect a "frost blade" to behave like.

The blade cutting strait though flesh is most of the damage, but the whatever radius of leftover frozen flesh both increases the long-term damage and reduces the short-term damage (as the target doesn't bleed out ... until it defrosts).

The weapon is an infinite black with frozen flakes of "snow" falling off it. This "snow" mostly frozen air. The rabbits have a long handle and a large guard. Their scabbards have a "funnel" of handwavium at the entrance to keep the blade away from their flesh. "Grabbing" the blade leaves you with a frozen hand that dies as it thaws out.