I've always treated eternalism and the B theory of time as largely synonymous and thought they just refer to the perspective of viewing the universe as a single static entity with "slices" or "instants".

I read here https://philosophy.stackexchange.com/a/30362/27054 that eternalism is a metaphysical theory and the B theory of time is a semantic theory, but I'm not exactly sure what that means in this context. What would an eternalist but non-[B theory] viewpoint look like, for instance?

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    It is a very legalistic distinction in that A/B theories regulate which claims can be legitimately made about time, while presentism/eternalism are concerned with the nature of time itself. So technically, one could combine eternalism (future events already exist) with A theory by using some extra property of "moving present" to ground tense intutitions, but that is just confusing and almost never done.
    – Conifold
    May 30 '17 at 23:42
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    Hi. I find the claim that the B theory is "semantic" rather than "metaphysical" strange, and probably wrong. McTaggart's essay, which originated the B theory notion, was about metaphysics, not semantics. One subtle point is that, at least for McTaggart himself, the B theory was not a theory of time at all. He believed that only the A theory was recognizable as a theory of time. And that if the A theory fails (as he also believed, and argued for) then time just does not exist. May 31 '17 at 19:47
  • The central question in the philosophy of time is whether time is tensed or tenseless. If you see the formula of Tesla about Tension, then "T.L=MC^2". Then it would be a good question to Interprete , B-Theory of Time using Tesla formula!. B-Theory of Time claiming that Time is Tenseless which contradicts with the relation between Time, Light and Tension.
    – user47436
    Sep 28 '20 at 11:26

Special Relativity could be considered an eternalism that does not admit a B-Theory of time.

Spacetime is a single 4-dimensional object. So this is an eternalism. But simultaneity is not the same across different locations, so there is no B-series.

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