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E. Aldo Arroyo

Publications and source records attributed to E. Aldo Arroyo.

At least 19 recordsLinked to original sources
arXiv2026

A Geometric Family of Correlations Containing the Quantum Singlet

We introduce a geometrically constrained hidden-variable framework that generates a family of correlations parametrized by a boundary function, within which the quantum singlet correlation appears as a particular member. Exact expressions for the correlation function are derived. Several structural results are established, including admissibility conditions, symmetry properties, a universal stationary point of the associated CHSH function, and an exact relation between the CHSH value at $ν=π/4$ and a geometric contrast measure defined on the underlying hidden-variable distributions. Rather than treating the quantum singlet correlation as an isolated target to be reproduced, the present framework places it within a broader geometric structure of correlations. These results suggest the existence of a nontrivial geometric structure underlying the family of correlations and motivate the search for a principle capable of selecting the quantum singlet solution from within that family.

quant-ph↗
arXiv2025

A New Real Tachyon Vacuum Solution in Cubic Superstring Field Theory

We study a real tachyon vacuum solution in cubic superstring field theory that avoids square roots and phantom terms. Using this new solution, we evaluate the vacuum energy and obtain a result consistent with Sen's conjecture. Additionally, we demonstrate that the equation of motion, when contracted with the solution itself, is satisfied.

hep-th↗
arXiv2024

A Family of Local Deterministic Models for Singlet Quantum State Correlations

This work investigates the implications of relaxing the measurement independence assumption in Bell's theorem by introducing a new class of local deterministic models that account for both particle preparation and measurement settings. Our model reproduces the quantum mechanical predictions under the assumption of relaxed measurement independence, demonstrating that the statistical independence of measurement settings does not necessarily preclude underlying correlations. Our findings highlight the nuanced relationship between local determinism and quantum mechanics, offering new insights into the nature of quantum correlations and hidden variables.

quant-ph↗
arXiv2024

Exploring the transition between Quantum and Classical Mechanics

We investigate the transition from quantum to classical mechanics using a one-dimensional free particle model. In the classical analysis, we consider the initial positions and velocities of the particle drawn from Gaussian distributions. Since the final position of the particle depends on these initial conditions, convolving the Gaussian distributions associated with these initial conditions gives us the distribution of the final positions. In the quantum scenario, using an initial Gaussian wave packet, the temporal evolution provides the final wave function, and from it, the quantum probability density. We find that the quantum probability density coincides with the classical normal distribution of the particle's final position obtained from the convolution theorem. However, for superpositions of Gaussian distributions, the classical and quantum results deviate due to quantum interference. To address this issue, we propose a novel approach to recover the classical distribution from the quantum one. This approach involves removing the quantum interference effects through truncated Fourier analysis. These results are consistent with modern quantum decoherence theory. This comprehensive analysis enhances our understanding of the classical-quantum correspondence and the mechanisms underlying the emergence of classicality from quantum systems.

quant-ph↗
arXiv2023

The jump effect of a general eccentric cylinder rolling on a ramp

Interesting phenomena occur when an eccentric rigid body rolls on an inclined or horizontal plane. For example, a variety of motions between rolling and sliding are exhibited until suddenly a jump occurs. We provide a detailed theoretical description of the jump effect for a general eccentric cylinder. Before the jump, when the cylinder moves along the ramp, we can assume a pure rolling motion. However, it turns out that when the cylinder reaches its jumping position, both the normal and static frictional forces approach zero. Thus, it seems that there will no longer be sufficient force to maintain rolling without slip. In order to have a jump without slipping, we prove that the parameters that characterize the dynamic behavior of the cylinder must belong to some restricted region.

physics.class-ph↗
arXiv2023

Signatures of physical constraints in rotating rigid bodies

We study signatures of physical constraints on free rotations of rigid bodies. We show analytically that the physical or non-physical nature of the moments of inertia of a system can be detected by qualitative changes both in the Montgomery Phase and in the Tennis Racket Effect.

physics.class-ph↗
arXiv2021

$KBc$ algebra and the gauge invariant overlap in open string field theory

We study in detail the evaluation of the gauge invariant overlap for analytic solutions constructed out of elements in the $KBc$ algebra in open string field theory. We compute this gauge invariant observable using analytical and numerical techniques based on the sliver frame $\mathcal{L}_0$ and traditional Virasoro $L_0$ level expansions of the solutions.

hep-th↗
arXiv2019

Numerical solution for tachyon vacuum in the Schnabl gauge

Based on the level truncation scheme, we develop a new numerical method to evaluate the tachyon vacuum solution in the Schnabl gauge up to level $L=24$. We confirm the prediction that the energy associated to this numerical solution has a local minimum at level $L=12$. Extrapolating the energy data of $L \leq 24$ to infinite level, we observe that the energy goes towards the analytical value $-1$, nevertheless the precision of the extrapolation is lower than in the Siegel gauge. Furthermore, we analyze the Ellwood invariant and show that its value converges monotonically towards the expected analytical result. We also study the tachyon vacuum expectation value (vev) and some other coefficients of the solution. Finally, some consistency checks of the solution are performed, and we briefly discuss the search for other Schnabl gauge numerical solutions.

hep-th↗
arXiv2017

Numerical solution of open string field theory in Schnabl gauge

Using traditional Virasoro $L_0$ level-truncation computations, we evaluate the open bosonic string field theory action up to level $(10,30)$. Extremizing this level-truncated potential, we construct a numerical solution for tachyon condensation in Schnabl gauge. We find that the energy associated to the numerical solution overshoots the expected value $-1$ at level $L=6$. Extrapolating the level-truncation data for $L\leq 10$ to estimate the vacuum energies for $L > 10$, we predict that the energy reaches a minimum value at $L \sim 12$, and then turns back to approach $-1$ asymptotically as $L \rightarrow \infty$. Furthermore, we analyze the tachyon vacuum expectation value (vev), for which by extrapolating its corresponding level-truncation data, we predict that the tachyon vev reaches a minimum value at $L \sim 26$, and then turns back to approach the expected analytical result as $L \rightarrow \infty$.

hep-th↗
arXiv2017

Comments on real tachyon vacuum solution without square roots

We analyze the consistency of a recently proposed real tachyon vacuum solution without square roots in open bosonic string field theory. We show that the equation of motion contracted with the solution itself is satisfied. Additionally, by expanding the solution in the basis of the curly $\mathcal{L}_0$ and the traditional $L_0$ eigenstates, we evaluate numerically the vacuum energy and obtain a result in agreement with Sen's conjecture.

hep-th↗
arXiv2016

A singular one-parameter family of solutions in cubic superstring field theory

Performing a gauge transformation of a simple identity-like solution of superstring field theory, we construct a one-parameter family of solutions, and by evaluating the energy associated to this family, we show that for most of the values of the parameter the solution represents the tachyon vacuum, except for two isolated singular points where the solution becomes the perturbative vacuum and the half brane solution.

hep-th↗
arXiv2014

Comments on multibrane solutions in cubic superstring field theory

In a previous paper, we have studied multi-brane solutions in the context of cubic superstring field theory. The kinetic term of the action was computed for these multi-brane solutions, and for the evaluation of the energy, the equation of motion contracted with the solutions itself was simply assumed to be satisfied. In this paper, we compute the cubic term of the action and discuss the validity of the previous assumption. Additionally, we evaluate the Ellwood's gauge invariant observable.

hep-th↗
arXiv2012

Multibrane solutions in cubic superstring field theory

Using the elements of the so-called $KBcγ$ subalgebra, we study a class of analytic solutions depending on a single function $F(K)$ in the modified cubic superstring field theory. We compute the energy associated to these solutions and show that the result can be expressed in terms of a contour integral. For a particular choice of the function $F(K)$, we show that the energy is given by integer multiples of a single D-brane tension.

hep-th↗
arXiv2011

Level truncation analysis of regularized identity based solutions

We evaluate the vacuum energy of regularized identity based solutions through level truncation computations in open bosonic string field theory. We show that the level truncated solutions bring a value of the vacuum energy expected for the tachyon vacuum in agreement with Sen's first conjecture.

hep-th↗
arXiv2011

Conservation laws and tachyon potentials in the sliver frame

Conservation laws have provided an elegant and efficient tool to evaluate the open string field theory interaction vertex, they have been originally implemented in the case where the string field is expanded in the Virasoro basis. In this work we derive conservation laws in the case where the string field is expanded in the so-called sliver $\mathcal{L}_0$-basis. As an application of these conservation laws derived in the sliver frame, we compute the open string field action relevant to the tachyon condensation and in order to present not only an illustration but also an additional information, we evaluate the action without imposing a gauge choice.

hep-th↗
arXiv2010

Comments on regularization of identity based solutions in string field theory

We analyze the consistency of the recently proposed regularization of an identity based solution in open bosonic string field theory. We show that the equation of motion is satisfied when it is contracted with the regularized solution itself. Additionally, we propose a similar regularization of an identity based solution in the modified cubic superstring field theory.

hep-th↗
arXiv2010

Generating Erler-Schnabl-type Solution for Tachyon Vacuum in Cubic Superstring Field Theory

We study a new set of identity-based solutions to analyze the problem of tachyon condensation in open bosonic string field theory and cubic superstring field theory. Even though these identity-based solutions seem to be trivial, it turns out that after performing a suitable gauge transformation, we are left with the known Erler-Schnabl-type solutions which correctly reproduce the value of the D-brane tension. This result shows explicitly that how a seemingly trivial solution can generate a non-trivial configuration which precisely represents to the tachyon vacuum.

hep-th↗