The quantum world is a lattice of connections: why particles are never alone ✛ ✎

Original: "On the Quantum Structure"
· Dong-Sheng Wang
arXiv:1101.0503 · 2011-01-03 · arXiv non-exclusive · independent analysis · 2 min
A new paper argues that quantum mechanics describes not individual particles but the connections between them in a space called the tangnet.

A woven basket holds its shape not because it has a rigid frame, but because each cane is interwoven with its neighbors. Pull one out, and the pattern unravels. Quantum mechanics, if we believe the new work, works the same way: its elementary objects do not exist separately, but only in interweaving with each other.

Previously, physicists described particles as isolated waves, and interaction with the environment as something secondary. But the author of the paper says: a particle is always bathed in its environment, and this environment is not noise but part of the particle itself. To describe this, he builds a new space, the tangnet. It is a lattice where nodes are states and the threads between them are entanglement (a special quantum connection where two particles behave as one whole). Distance here is measured not in meters but in the strength of the connection. The elementary cell of such a lattice is a qubit: two subsystems linked so tightly that they have neither an inside nor an outside.

Previously, entanglement was considered a fragile resource that needed to be protected from the environment. The new picture says: entanglement is the very fabric of reality, and the environment is woven into it.

There are no practical applications for this idea yet, but it may help us understand why our classical world appears stable even though it is made of quantum building blocks. The basket that started this text has no distinguished center and no distinguished edge. So does the tangnet: in it, there is neither inside nor outside, only nodes and threads.

The author calls the new space "tangnet" (from the English word tangle), emphasizing that the links between lattice nodes reflect entanglement, not geometric distance.

I = S_S + S_E - S_{SE} = 2S_E
The mutual information equals twice the entropy of the environment, reflecting the complete correlation between system and environment.
I = I(S_1E_1:S_2E_2) - I(E_1:E_2) - I(E_1:S_2|E_2) - I(E_2:S_1|E_1)
The mutual information between systems is obtained by subtracting the correlations of the environments from the total correlation, which accounts for the openness of each subsystem.
|\psi\rangle_{AB} = \frac{1}{\sqrt{2}}(|0_A1_B\rangle - i|1_A0_B\rangle)
An entangled state of two subsystems with a relative phase, which is invariant under local transformations and permutations.
Scientists
William WoottersJohn Stewart BellErwin SchrödingerAlain AspectDavid DeutschSatyendra Nath Bose
Concepts
quantum mechanics quantum wave function state work momentum classical physics trajectory physics correlation Hamiltonian mechanics momentum space coupling chemistry network time qubit matter wave curvature