Researchers have uncovered a simple relationship between energy and information transmission rates across quantum field theory interfaces, revealing new insights into a previously complex problem.
An international team of researchers has found a surprisingly simple relationship between the rates of energy and information transmission across an interface connecting two quantum field theories. Their work was published recently in Physical Review Letters.
Interface Dynamics in Quantum Theories
The interface between different quantum field theories is an important concept that arises in a variety of problems in particle physics and condensed matter physics. However, it has been difficult to calculate the transmission rates of energy and information across interfaces.
Discovering Universal Inequalities
Hirosi Ooguri, Professor at the Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI) at the University of Tokyo and Fred Kavli Professor at the California Institute of Technology, together with his collaborators, Associate Professor Yuya Kusuki at Kyushu University, and Professor Andreas Karch and graduate students Hao-Yu Sun and Mianqi Wang at the University of Texas, Austin, showed that for theories in two dimensions with scale invariance there are simple and universal inequalities between three quantities: Energy transfer rate, Information transfer rate, and the size of Hilbert space (measured by the rate of increase of the number of states at high energy). Namely,
[ energy transmittance ] ≤ [ information transmittance] ≤ [ size of the Hilbert space ].
Implications of Quantum Inequalities
These inequalities imply that, in order to transmit energy, information must also be transmitted, and both require a sufficient number of states. They also showed that no stronger inequality is possible.
Both energy and information transmissions are important quantities, but they are difficult to calculate, and no relationship between them was known. By showing the inequality between these quantities, this paper sheds new light on this important but difficult problem.
Reference: “Universal Bound on Effective Central Charge and Its Saturation” by Andreas Karch, Yuya Kusuki, Hirosi Ooguri, Hao-Yu Sun and Mianqi Wang, 30 August 2024, Physical Review Letters.
DOI: 10.1103/PhysRevLett.133.091604
Never miss a breakthrough: Join the SciTechDaily newsletter.
Follow us on Google and Google News.
9 Comments
Ignoring gravity, or equivalently invoking “spacetime” (genius word most often followed, without adding anything informative, of course, by “itself” as in “it’s not a force but spacetime itself”) all information flow is electromagnetic energy flow.
… actually, all the forces carry energy, but force experts in need of gainful employment are always careful to informatively exclude gravity from that.
Theorists are fond of insisting that particles of gravity, unlike the dark matter favored by severely over-monetized people on a global roll, either do not exist or must be severely limited in effect regardless of quantity.
Not sure how interplanetary gravity can be ruled out as a source of extra-low-frequency gravity waves.
Ultra-low-rate attenuation by massive gravity raises a question of why a galactic-scale and cluster-scale oscillatory attenuation should not be considered more reasonable and a way to see a zero-mass spin-2 boson.
Suppose a unified gravito-electro-magnetic vacuum with complementary photonic and gravitonic oscillation modes, where gravitons “somersault” while photons fields keep all the action flat like a propellor’s spin, as all aspects of the photon’s energy must obey the same speed limit but gravity need not be so limited. Otherwise on the topic of massive gravity, notice how it’s okay for those with privilege to not prominently address Feynman’s logic refuting monopolar gravitons on two different bases.
A single energy dipole is spin-1, pairing allows spin-2. Electromagnetic energy uses dipoles.
If only by being sub-Planck omnipresent, ubiquitous, and practically uncountable in any vacuum, paired quantum dipole gravity may embody proximity-paired energy dipoles spinning together in any random longitudinal oscillation plane, filling a consequent directed “pencil.”
Both energy and information transmissions are important quantities, but they are difficult to calculate, and no relationship between them was known.
VERY GOOD.
Do the researchers really want to understand quantum?
Scientific research guided by correct theories can help humanity avoid detours, failures, and pomposity. Please witness the exemplary collaboration between theoretical physicists and experimentalists ( https://scitechdaily.com/microscope-spacecrafts-most-precise-test-of-key-component-of-the-theory-of-general-relativity/#comment-854286 ). Is this the peer review that the academic community takes pride in and vigorously promotes today?
Topological vortices may have a profound impact on the development direction and research methods of physics ( https://scitechdaily.com/microscope-spacecrafts-most-precise-test-of-key-component-of-the-theory-of-general-relativity/#comment-858364 ).
The universe does not write algebra, formulas, or fractions. The universe is a superposition, deflection, and entanglement of geometric shapes, is the interaction and balance of countless topological vortices and its fractal structures. The physical essence of quantum can be the spin of topological vortices.
This is a simple statement,following to the Thermodynamics – Qunantum Mechanical Property Relationship;here,equality stands for 100% or perfect transmission rate for energy and information,which may have an < relationship for energy to information in the direction of transmission.This means for less than perfect or < energy transmission than information case,more effort is required or invested in the forward direction.
VERY GOOD!
The hierarchical structure of things and its interactions are essential for understanding energy and information transmissions.