The study, led by Hiroshi Ooguri of the Kavli Institute for Physics and Mathematics of the Universe (Kavli IPMU) and Professor Fred Kavli of Caltech, as well as collaborators from Kyushu University and the University of Texas at Austin, has identified a universal set of inequalities for theories that are invariant at two-dimensional scales. Their results establish a clear relationship between three critical quantities: the energy transfer rate, the information transfer rate, and the dimension of the Hilbert space (which measures the increase in the number of quantum states at high energies).
The key inequalities they found are:
Energy transfer ≤ Information transfer ≤ Hilbert space dimension
It follows that energy transfer also requires information transfer, and both processes require a sufficient number of quantum states. The team’s work not only clarifies the relationship between these previously elusive quantities, but also shows that a stronger inequality cannot be proposed.
This discovery could lead to new discoveries in both particle and condensed matter physics.
Source: Ferra

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