2020/03/16 by Leonardo Ortiz, L. Ortíz, Marcelo M. Amaral +5
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Black Holes and Theoretical Physics #Brownian motion #Classical mechanics #Combinatorics #FOS: Physical sciences #Fibonacci number #Heat kernel #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Quasiperiodic function #Quasiperiodicity #Random walk #Randomness #Sequence (biology) #Statistical physics #Statistics #Theoretical physics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.2003.07282
20 pages
openalex publication_date 2020/03/16 · arxiv created 2020/05/28 · arxiv updated 2020/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this work we explore how the heat kernel, which gives the solution to the diffusion equation and the Brownian motion, would change when we introduce quasiperiodicity in the scenario. We also study the random walk in the Fibonacci sequence. We discuss how these ideas would change the discrete approaches to quantum gravity and the construction of quantum geometry.