After finding formal definitions in various texts (see, eg, Witten, Notes On Some Entanglement Properties Of Quantum Field Theory, Rev. Mod. Phys. 90, 45003 (2018), doi:10.1103/RevModPhys.90.045003 arXiv:1803.04993), I have ($\text I$) not been able to obtain a good intuition for them and ($\text{II}_1$) have not seen anyone relate such factors to more commonly understood Hilbert spaces such as $L^2(\mathbb R)$. This is very likely for good reason, but it would be nice to have these ideas come down from the clouds so that one can present them to non-mathematicians and (maybe this is too ambitious) laypeople.

After finding formal definitions in various texts (see, eg, Witten, Notes On Some Entanglement Properties Of Quantum Field Theory, Rev. Mod. Phys. 90, 45003 (2018), doi:10.1103/RevModPhys.90.045003 arXiv:1803.04993), I have ($\text I$) not been able to obtain a good intuition for them and ($\text{II}_1$) have not seen anyone relate such factors to more commonly understood Hilbert spaces such as $L^2(\mathbb R)$. This is very likely for good reason, but it would be nice to have these ideas come down from the clouds so that one can present them to non-mathematicians and (maybe this is too ambitious) laypeople.

Some more technical sources which helped me answer this are here and here.

After finding formal definitions in various texts (see, eg, Witten, Notes On Some Entanglement Properties Of Quantum Field Theory, Rev. Mod. Phys. 90, 45003 (2018), doi:10.1103/RevModPhys.90.045003 arXiv:1803.04993), I have ($I$) not been able to obtain a good intuition for them and ($II_1$) have not seen anyone relate such factors to more commonly understood Hilbert spaces such as $L^2(\mathbb R)$. This is very likely for good reason, but it would be nice to have these ideas come down from the clouds so that one can present them to non-mathematicians and (maybe this is too ambitious) laypeople.

After finding formal definitions in various texts (see, eg, Witten, Notes On Some Entanglement Properties Of Quantum Field Theory, Rev. Mod. Phys. 90, 45003 (2018), doi:10.1103/RevModPhys.90.045003 arXiv:1803.04993), I have ($\text I$) not been able to obtain a good intuition for them and ($\text{II}_1$) have not seen anyone relate such factors to more commonly understood Hilbert spaces such as $L^2(\mathbb R)$. This is very likely for good reason, but it would be nice to have these ideas come down from the clouds so that one can present them to non-mathematicians and (maybe this is too ambitious) laypeople.

After finding formal definitions in various texts, I have ($I$) not been able to obtain a good intuition for them and ($II_1$) have not seen anyone relate such factors to more commonly understood Hilbert spaces such as $L^2(\mathbb R)$. This is very likely for good reason, but it would be nice to have these ideas come down from the clouds so that one can present them to non-mathematicians and (maybe this is too ambitious) laypeople.

After finding formal definitions in various texts (see, eg, Witten, Notes On Some Entanglement Properties Of Quantum Field Theory, Rev. Mod. Phys. 90, 45003 (2018), doi:10.1103/RevModPhys.90.045003 arXiv:1803.04993), I have ($I$) not been able to obtain a good intuition for them and ($II_1$) have not seen anyone relate such factors to more commonly understood Hilbert spaces such as $L^2(\mathbb R)$. This is very likely for good reason, but it would be nice to have these ideas come down from the clouds so that one can present them to non-mathematicians and (maybe this is too ambitious) laypeople.