62 citations · 473 across the 38 of their papers we have counts for
39 papers
The Tully-Fisher's law and Dark Matter effects derived via modified symmetries
Ivan Arraut
In any physical system, when we move from short to large scales, new spacetime symmetries emerge which help us to simplify the dynamics of the system. In this letter we demonstrate…
Gauge symmetries and the Higgs mechanism in Quantum Finance
Ivan Arraut
By using the Hamiltonian formulation, we demonstrate that the Merton-Garman equation emerges naturally from the Black-Scholes equation after imposing invariance (symmetry) under lo…
The probability flow in the Stock market and Spontaneous symmetry breaking in Quantum Finance
Ivan Arraut, Joao Alexandre Lobo Marques, Sergio Gomes
The Spontaneous Symmetry breaking in Quantum Finance considers the martingale condition in the stock market as a vacuum state if we express the financial equations in the Hamiltoni…
The solution to the Hardy's paradox
Ivan Arraut
By using both, the weak-value formulation as well as the standard probabilistic approach, we analyze the Hardy's experiment introducing a complex and dimensionless parameter ()…
Order parameter conditions from mutual information and symmetry conditions
Ivan Arraut, Wing Chi Yu
The mutual information method has demonstrated to be very useful for deriving the potential order parameter of a system. Although the method suggests some constraints which help to…
Spontaneous symmetry breaking in Quantum Finance
Ivan Arraut, Alan Au, Alan Ching-biu Tse
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 expressed in t…
Black-Hole evaporation and Quantum-depletion in Bose-Einstein condensates
Ivan Arraut
We study the analogy between the Hawking radiation in Black-Holes and the Quantum depletion process of a Bose-Einstein condensate by using the Bogoliubov transformations method. We…
On the multiplicity of the martingale condition: Spontaneous symmetry breaking in Quantum Finance
Ivan Arraut, Alan Au, Alan Ching-biu Tse
We demonstrate that the martingale condition in the stock market can be interpreted as a vacuum condition when we express the financial equations in the Hamiltonian form. We then s…
On the loss of learning capability inside an arrangement of neural networks
Ivan Arraut, Diana Diaz
We analyze the loss of information and the loss of learning capability inside an arrangement of neural networks. Our method is new and based on the formulation of non-unitary Bogol…
On the probability flow in the Stock market I: The Black-Scholes case
Ivan Arraut, Alan Au, Alan Ching-biu Tse +1
It is known that the probability is not a conserved quantity in the stock market, given the fact that it corresponds to an open system. In this paper we analyze the flow of probabi…
The counting of Nambu-Goldstone bosons in a non-Hermitian field theory
Ivan Arraut
We demonstrate that the number of Nambu-Goldstone bosons is always equal to the number of conserved currents inside the scenario of non-Hermitian field theories with spontaneous sy…
The connection between multiple prices of an Option at a given time with single prices defined at different times: The concept of weak-value in quantum finance
Ivan Arraut, Alan Au, Alan Ching-biu Tse +1
We introduce a new tool for predicting the evolution of an option for the cases where at some specific time, there is a high-degree of uncertainty for identifying its price. We wor…
Black-Hole evaporation from the perspective of neural networks
Ivan Arraut
We study the black-hole evaporation from the perspective of neural networks. We then analyze the evolution of the Hamiltonian, finding in this way the conditions under which the sy…
The origin of the mass of the Nambu-Goldstone bosons
Ivan Arraut
We explain the origin of the mass for the Nambu-Goldstone bosons when there is a chemical potential in the action which breaks explicitly the symmetry. The method is based on the n…
The Hawking radiation in massive gravity: Path integral and the Bogoliubov method
Ivan Arraut, Carlos Segovia, Wilson Rosado
We prove the consistency of the different approaches for deriving the black-hole radiation for the spherically symmetric case inside the theory of Massive Gravity. By comparing the…
Spontaneous symmetry breaking as a triangular relation between pairs of Goldstone bosons and the degenerate vacuum: Interactions of D-branes
Ivan Arraut
We formulate the Nambu-Goldstone theorem as a triangular relation between pairs of Goldstone bosons with the degenerate vacuum. The vacuum degeneracy is then a natural consequence…
The Quantum Yang Baxter conditions: The fundamental relations behind the Nambu-Goldstone theorem
Ivan Arraut
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 the Quantu…
The Nambu-Goldstone theorem in non-relativistic systems
Ivan Arraut
In non-relativistic systems, when there is spontaneous symmetry breaking, the number of Nambu-Goldstone bosons () are not necessarily equal to the number of broken generato…
The -deformed Bogoliubov transformations
Ivan Arraut, Carlos Segovia
An approach for -deformed Bogoliubov transformations is presented. Assuming a left-right module action together with an *-operation and deformed commutation relations, we constr…
Non linear massive gravity as a gravitational -model
Ivan Arraut, Kaddour Chelabi
We show the direct analogy between the ghost-free non-linear formulation of massive gravity and the standard -models well understood in the literature. This issue explains why t…
Vacuum degeneracy in Massive gravity=Multiplicity of fundamental scales
Ivan Arraut, Kaddour Chelabi
The presence of Nambu-Goldstone bosons introduce a natural degeneracy inside the vacuum solutions of the non-linear formulations of massive gravity in the same spirit of the -mo…
The graviton Higgs mechanism
Ivan Arraut
The Higgs mechanism at the graviton level formulated as a Vainshtein mechanism in time domains implies that the extra-degrees of freedom become relevant depending on the direction…
The dynamical origin of the graviton mass in the non-linear theory of massive gravity
Ivan Arraut
We compare the standard Higgs mechanism corresponding to the scalar field, with the dynamical origin of the graviton mass inside the scenario of the dRGT theory of massive gravity.…
The Vainshtein conditions: The Vainshtein mechanism in terms of Stückelberg functions
Ivan Arraut
Here I develop the simplest method in order to evaluate whether or not the Vainshtein mechanism can operate for a given set of parameters in a given solution. The method is based o…