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Sep 23, 2022 at 0:13 history edited Qmechanic
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Sep 22, 2022 at 22:13 comment added Ghoster Although I don’t know of a geometric interpretation, tensor algebra does have a physical interpretation in terms of the quantum state of multiple non-interacting quantum objects. If object $A$ has state $|A\rangle$ and similarly for B, then if they don’t interact the quantum state of the system is $|A\rangle\otimes|B\rangle$.
Sep 22, 2022 at 21:08 vote accept CBBAM
Sep 22, 2022 at 21:03 answer added Cosmas Zachos timeline score: 2
Sep 22, 2022 at 20:54 comment added CBBAM @Ghoster Thank you I will take a look at exterior algebras, I'm not familiar with them at the moment. I suppose I will just have to consider tensor algebras are purely algebraic with no physical or geometric interpretation.
Sep 22, 2022 at 20:31 comment added Ghoster Exterior algebra, which is related to tensor algebra, has an intuitive geometric interpretation. In my opinion, tensor algebra itself doesn’t. But there is no reason that it should. It seems to me to be natural (in the vague, undefined sense of that word) algebraically but not geometrically.
Sep 22, 2022 at 20:23 history edited CBBAM CC BY-SA 4.0
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Sep 22, 2022 at 20:09 history edited CBBAM CC BY-SA 4.0
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Sep 22, 2022 at 20:02 history asked CBBAM CC BY-SA 4.0