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It's not an extension. It can be something as simple as a method (without code), proprietary algorithms for generating BVH.. or anything else, it's just like using any other API, if SAP and Oracle were to release the next ERP on .net API, neither of them would be able to reuse the others code stating that we are using the same set of APIs after all. SAP can also prohibit usage on certain kinds of hardware/os that supports .net and would require the buyer to buy special licenses for such hardware/os configs
I'm not trying to infer anyone can re-use code here. Merely that there's no vendor restrictions for using Microsoft DirectX, and DXR is part of DirectX. Nvidia cannot control who can and cannot use the DirectX API and thus the DXR instructions. They can control who can use the RTX engine that is built on top of that, but AMD will be no doubt working on their own RTX equivalent. CDPR if they want a vendor agnostic type of ray tracing can simply use DXR instructions and any video card that meets the DirectX spec will be able to use them.
The implication behind all of this is that Nvidia could if they wanted to pull the DXR rug out from under everyone, leaving AMD and other competitors screwed, and they can't. Despite having contributed to the instruction set.