6 papers
Wavefunctions localization, and the Wigner's Friend Paradox in a Framework of Discrete-Space Hypothesis
W. A. Zúñiga-Galindo
We present a resolution of the Wigner's Friend paradox within a framework of quantum mechanics (QM) on the hybrid space RxQ_{p}, where Q_{p} denotes the field of p-adic numbers, re…
p-Adic Dirac Equations and the Jackiw-Rebbi Model
W. A. Zúñiga-Galindo
We present a new p-adic version of the Jackiw-Rebbi model. In the new model, the real numeric line is replaced by a p-adic line (the field of p-adic numbers Q_{p}), and the Dirac H…
Critical Organization of Deep Neural Networks, and p-Adic Statistical Field Theories
W. A. Zúñiga-Galindo
We rigorously study the thermodynamic limit of deep neural networks (DNNS) and recurrent neural networks (RNNs), assuming that the activation functions are sigmoids. A thermodynami…
Quantum mechanics, non-locality, and the space discreteness hypothesis
W. A. Zúñiga-Galindo
The space discreteness hypothesis asserts that the nature of space at short distances is radically different from that at large distances. Based on the Bronstein inequality, here,…
Continuous-Time Quantum Markov Chains And Discretizations Of p-Adic Schrödinger Equations: Comparisons And Simulations
W. A. Zúñiga-Galindo, L. F. Chacón-Cortés
The continuous-time quantum walks (CTQWs) are a fundamental tool in the development of quantum algorithms. Recently, it was shown that discretizations of p-adic Schrödinger equatio…
Koba-Nielsen local zeta functions, convex subsets, and generalized Selberg-Mehta-Macdonald and Dotsenko-Fateev-like integrals
Willem Veys, W. A. Zúñiga-Galindo
The Koba-Nielsen local zeta functions are integrals depending on several complex parameters, used to regularize the Koba-Nielsen string amplitudes. These integrals are convergent a…