Equation 9 · Part 1 · How Much of Gravitationally Induced Entanglement Is in the Eye of the Frame
Symbol varphi_ent
What this part means
varphnt is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
varphnt is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol varphi_ent→Article meaning
The passage around this formula
and the paper’s core theorem is that both the entanglement quantifiable in the state and the actual spin-correlation witness a detector reads out are functions of and of the locally removable phases only — never of anything else. Because is built entirely from relational branch separations, it is invariant under the same quantum-reference-frame transformations that reshuffle the entanglement structure between the three frames. The witness, in other words, is a scalar. Every frame computes the identical number for it, even while disagreeing about which subsystems that number’s nonzero value is entanglement “between.”
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Sources cited in the article section
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