Topological continuum charges of acoustic phonons in two dimensions and the Nambu-Goldstone theorem

GF Lange, A Bouhon, B Monserrat, RJ Slager - Physical Review B, 2022 - APS
We analyze the band topology of acoustic phonons in 2D materials by considering the
interplay between spatial/internal symmetries and additional constraints that arise from the …

Gauge symmetries and the Higgs mechanism in Quantum Finance

I Arraut - Europhysics Letters, 2023 - iopscience.iop.org
By using the Hamiltonian formulation, we demonstrate that the Merton-Garman equation
emerges naturally from the Black-Scholes equation after imposing invariance (symmetry) …

The probability flow in the Stock market and Spontaneous symmetry breaking in Quantum Finance

I Arraut, JA Lobo Marques, S Gomes - Mathematics, 2021 - mdpi.com
The spontaneous symmetry breaking phenomena applied to Quantum Finance considers
that the martingale state in the stock market corresponds to a ground (vacuum) state if we …

The quantum Yang-Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem

I Arraut - Symmetry, 2019 - mdpi.com
We demonstrate that when there is spontaneous symmetry breaking in any system,
relativistic or non-relativistic, the dynamic of the Nambu-Goldstone bosons is governed by …

Revenue Management in Airlines and External Factors Affecting Decisions: The Harmonic Oscillator Model

I Arraut, W Rosado, V Leong - Mathematics, 2024 - mdpi.com
The Revenue Management (RM) problem in airlines for a fixed capacity, single resource
and two classes has been solved before by using a standard formalism. In this paper we …

Spontaneous symmetry breaking in quantum finance

I Arraut, A Au, AC Tse - Europhysics Letters, 2020 - iopscience.iop.org
We analyze the phenomena of spontaneous symmetry breaking in quantum finance by
using as a starting point the Black-Scholes (BS) and the Merton-Garman (MG) equations …

Symmetries for nonconservative field theories on time scale

O Postavaru, A Toma - Symmetry, 2021 - mdpi.com
Symmetries and their associated conserved quantities are of great importance in the study of
dynamic systems. In this paper, we describe nonconservative field theories on time scales …

The solution to the Black Hole information paradox

I Arraut - arXiv preprint arXiv:2406.10644, 2024 - arxiv.org
The information paradox suggests that the black hole loses information when it emits
radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum …

[HTML][HTML] A Possible Solution to the Black Hole Information Paradox

I Arraut - AppliedMath, 2025 - mdpi.com
The information paradox suggests that the black hole loses information when it emits
radiation. In this way, the spectrum of radiation corresponds to a mixed (non-pure) quantum …

On the Local equivalence of the Black Scholes and the Merton Garman equations

I Arraut - arXiv preprint arXiv:2410.00925, 2024 - arxiv.org
It was demonstrated previously that the stochastic volatility emerges as the gauge field
necessary for restoring the local symmetry under changes of the prices of the stocks inside …