SergejMaterov's latest activity
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SergejMaterov replied to the thread I Does Time-Symmetry Imply Retrocausality? How does the Quantum World Say “Maybe”?.Are you familiar with these experiments? https://doi.org/10.1038/nature15759 -
SergejMaterov reacted to cianfa72's post in the thread I QM Qubit state space representation by Projective Hilbert space with
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Ok, so your point is as follows: take the set of qubit's pure states (this is a concrete set, namely the set of qubit's physical pure... -
SergejMaterov replied to the thread I QM Qubit state space representation by Projective Hilbert space.Exactly. All the physics lives on the projective space ##\mathbb C\mathrm P^1## (or Bloch sphere); ##\mathbb C^2## is just a convenient...
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SergejMaterov replied to the thread I QM Qubit state space representation by Projective Hilbert space.Exactly right. You’re drawing the perfect analogy. Point [a:b] in ##\mathbb C\mathrm P^1## isn’t literally the qubit state, but...
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SergejMaterov replied to the thread I QM Qubit state space representation by Projective Hilbert space.$$H \rightarrow \mathbb{C}^2,\quad a|0\rangle + b|1\rangle \mapsto \begin{pmatrix}a \\b\end{pmatrix}$$ This is already the realization...
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SergejMaterov replied to the thread I QM Qubit state space representation by Projective Hilbert space.The vectors ∣0⟩ and ∣1⟩ are not cubit states in themselves, but only their representatives. The only physical content is the rays, that...
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SergejMaterov replied to the thread I Would gravitons theoretically act like photons?.Gravity’s coupling G is dimensionful, so you only get a meaningful gravitational fine‑structure constant once you specify masses or...
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SergejMaterov replied to the thread I QM Qubit state space representation by Projective Hilbert space.The chosen basis provides a convenient coordinating, but does not change the geometry of the state space itself
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SergejMaterov replied to the thread I Would gravitons theoretically act like photons?.You can of course be skeptical about my previous post, but: If it does exist, then formally the "graviton" should be very similar to the...
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SergejMaterov replied to the thread A A couple of long questions on positivity bounds for UV-complete EFTs.Without convexity and canonical form you will not get a powerful geometric tool for calculation or classification. It is possible to...
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SergejMaterov reacted to PeterDonis's post in the thread I Does Time-Symmetry Imply Retrocausality? How does the Quantum World Say “Maybe”? with Like.
We already know Nature violates some premise of the Bell proof, because Nature violates the Bell inequalities.
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SergejMaterov replied to the thread A Baryon CP Violation Observed at CERN.why is CP violation in baryons so small compared to mesons? paradox?
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SergejMaterov replied to the thread A Geometry Topology and Physics: Nakahara, Chapt. 1: Weyl Ordering.Trotter splits ##e^{−i(T+V)ε}## into “purely kinetic” and “purely potential”. The Gaussian integral yields the leading term...
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SergejMaterov replied to the thread A What happens when an operator maps a vector out of the Hilbert space?.Exactly so—multiplication operators fit the same pattern as the differential ones: Multiplication by an unbounded function is...
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SergejMaterov replied to the thread A What happens when an operator maps a vector out of the Hilbert space?.Differential operators are unbounded because they’re only defined on a proper dense subset of the Hilbert space, not on every vector. If...