The finite infinite range Heisenberg model and microcanonical black hole statistics
Andreas Aste
TL;DR
This paper explores a finite-range Heisenberg model with infinite-range interactions, connecting its mathematical structure to the microcanonical statistics of non-rotating black holes, revealing insights into quantum gravitational systems.
Contribution
It introduces a novel finite infinite-range Heisenberg model and relates its Gelfand pattern to black hole microstate statistics, bridging condensed matter and quantum gravity.
Findings
Gelfand pattern analysis of SU(2) tensor products
Connection between Heisenberg model and black hole microstates
Insights into quantum statistical properties of black holes
Abstract
The Gelfand pattern of the reduction of the N-fold tensor product of the fundamental representation of the special unitary group SU(2) by itself is studied in the framework of a finite Heisenberg model with infinite range, where N spins couple to each other with the same strength. The present findings are related to the microstatistics of non-rotating black holes for illustrative purposes.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Complex Systems and Time Series Analysis · Fluid Dynamics and Turbulent Flows