Vacuum Energy Research Articles

One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D N = 1 supersymmetric completion

One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D <i>N</i> = 1 supersymmetric completion

A possible exploration of the cause for the wide-range scattering of the G values

Abstract A statistical theory about gravity is obtained in this paper by studying the change of zero-point energy of one-dimensional vacuum caused by mass. The theory indicates that measured value of the gravitational constant obtained by the present method is not a constant but a quantity related to acceleration and it will increase when the acceleration decreases. Our theory accords well with the experimental data by fitting high-precision measurement of the gravitational constant during the previous two decades, the critical acceleration is obtained by the fitting, and the value is 1.3111 × 10-11m s-2, the standard error is 2.5 × 10-12, the theory predicts that when the acceleration in torsion pendulum experiment is around or less than critical acceleration, the gravitational constant value measured by the existing method will be significantly greater than the current measured value.&amp;#xD;

New integrable RG flows with parafermions

Abstract We consider irrelevant deformations of massless RSOS scattering theories by an infinite number of higher [$$ T\overline{T} $$ T T ¯ ]s operators which introduce extra non-trivial CDD factors between left-movers and right-movers. It is shown that the resulting theories can be UV complete after bypassing typical Hagedorn-like singularities if the coefficients of the deformations are fine-tuned. By classifying all integrable cases, we have discovered a new UV complete QFT associated to the $$ {\mathcal{M}}_p $$ M p (p ≥ 3) minimal CFT based on the integrable structure of the RSOS scattering theory. This new theory is the massless ℤp−1 parafermionic sinh-Gordon (PShG) model with a self-dual coupling constant. This correspondence is confirmed by showing that the scale-dependent vacuum energies computed by the thermodynamic Bethe ansatz derived from the S-matrices match those from the quantization conditions for the PShG models using the reflection amplitudes.

From infinite to infinitesimal: Using the universe as a dataset to probe Casimir corrections to the vacuum energy from fields inhabiting the dark dimension

From infinite to infinitesimal: Using the universe as a dataset to probe Casimir corrections to the vacuum energy from fields inhabiting the dark dimension

ℛ2 effectively from inflation to dark energy

In this paper, we consider the single-parameter [Formula: see text] gravitational action and use constraints from astrophysics and the laboratory to derive a natural relation between the coefficient c and the value of the cosmological constant. We find that the renormalization of c from the energy of the inflationary phase to the infrared, where the acceleration of the expansion of the universe takes place, is correlated with the evolution of the vacuum energy. Our results suggest that the coefficient of the [Formula: see text] term may provide an unexpected bridge between high-energy physics and cosmological phenomena such as inflation and dark energy.

Dark dimension and the effective field theory limit

In [1], we pointed out that in the Dark Dimension scenario [2] theoretical issues arise when the prediction for the vacuum energy [Formula: see text], that is obtained from swampland conjectures in string theory, is confronted with the corresponding result for [Formula: see text] in the effective field theory (EFT) limit. One of the problems concerns the widely spread belief that in higher dimensional EFTs with compact dimensions the vacuum energy is automatically finite. On the contrary, our analysis shows that [Formula: see text] contains (previously missed) UV-sensitive terms. Our work was challenged in [3]. Here we show why in our opinion the claims in [3] are flawed, and provide further support to our findings. We conclude presenting ideas on the physical mechanism that should dispose of the large UV contributions to [Formula: see text].

Application of Clifford’s Algebra to Describe the Early Universe

This article is a shortened review of previous results obtained by the author. The advantages of describing the geometric nature of the physical properties of the early universe using the Clifford algebra approach are demonstrated. A geometric representation of the wave function of the early universe is used, and a new mechanism of spontaneous symmetry breaking with different degrees of freedom is proposed. A possible supersymmetry is revealed, and it is shown that the energy of the initial vacuum can be considered equal to zero. The origin of baryonic asymmetry and the nature of dark matter can be explained using a geometric representation of the wave function of the early universe.

Phantom Matter: A Challenging Solution to the Cosmological Tensions

The idea of composite dark energy (DE) is quite natural since on general grounds we expect that the vacuum energy density (associated with the cosmological term Λ) may appear in combination with other effective forms of DE, denoted X. Here we deal with model wXCDM, a simplified version of the old ΛXCDM model, and exploit the possibility that X behaves as “phantom matter” (PM), which appears in stringy versions of the running vacuum model (RVM). Unlike phantom DE, the PM fluid satisfies the strong energy condition like usual matter, hence bringing to bear positive pressure at the expense of negative energy. Bubbles of PM may appear in the manner of a transitory “phantom vacuum” tunneled into the late Universe before it heads toward a new de Sitter era, thereby offering a crop field for the growing of structures earlier than expected. Using Type Ia supernovae, cosmic chronometers, transversal baryon acoustic oscillations (BAO 2D), large-scale structure data, and the full cosmic microwave background likelihood from Planck 2018, we find that the H 0 and growth tensions virtually disappear, provided that BAO 2D are the only source of BAO data used in the fit. In contrast, our preliminary analysis using exclusively anisotropic BAO (BAO 3D) indicates that the ability to ease the H 0 tension is significantly reduced as compared to the scenario with BAO 2D, despite the fact that the overall fit to the cosmological data is still better than in the ΛCDM. Finally, our approach with BAO 2D favors quintessence-like behavior of the DE below z ≃ 1.5 at ≳3σ confidence level, which is compatible with the recent DESI measurements.

Vacuum energy density for interacting real and complex scalar fields in a Lorentz symmetry violation scenario

Vacuum energy density for interacting real and complex scalar fields in a Lorentz symmetry violation scenario

Indefinitely flat rotation curves from Mpc sized charged cocoons

Abstract Weak lensing exhibits that rotation curves of isolated galaxies remain flat up to Mpc scale (Mistele et al, 2024). Recently we proposed that dark matter is a combination of electrostatic and vacuum energy in standard physics. In this theory, isolated galaxies may be embedded in ``charged cocoons'', spheres with $\pm 1/r^2$ charge density. The related circular rotation curves decay at the Mpc scale. The analytic solution is extended to the early Universe. A peak in the cosmic microwave background spectrum is expected at the arcsec scale. The induced nanometer size of the cocoons at the Big Bang makes the initial state inhomogeneous.

Energy and Environmental Aspects of the Sustainability of Clothing Production

The textile and clothing industries are very often lumped together when it comes to the environmental aspect such that the negative connotation of the textile industry from an environmental aspect is automatically transferred to the clothing industry. However, the two industries should be considered separately, particularly with regard to the machinery used and energy consumption in the production process. The energy consumption of electricity, compressed air, vacuum, steam, and other energy sources in the clothing industry is low compared to other related industries. Furthermore, no carcinogenic and allergenic waste is generated during the production of clothing, which has a low carbon footprint, i.e., it practically does not pollute the air, soil, and water. The waste produced during cutting is clean and unused and is immediately recycled. All of this contributes to the sustainability of the clothing industry from the energy and environmental aspects. This article describes the cutting and joining techniques used in the manufacture of clothing, from the energy and environmental aspects as well as aspects of the weaves, the necessary machine elements and mechanisms, and the energy used in all joining techniques, from which the above claims and facts can be seen.

Vacuum Polarization in the Point Impurity Background

The vacuum polarization effect of a massive scalar field φ(x) near the point δ-like source is considered. The corresponding interaction is introduced within a technique of self-adjoint extension of the Laplace operator. This method has been widely discussed within the framework of quantum mechanics. We propose to use it to investigate vacuum field effects. This approach allows computing the renormalized Hadamard function and the renormalized vacuum energy density hT00(x)iren for massive real scalar field with minimal curvature coupling. The dependence of the vacuum polarization effect upon the fields’s mass is analyzed.

A simple model of magnetic universe without singularity associated with a quadratic equation of state

A model of magnetic universe based on nonlinear electrodynamics has been introduced by Kruglov (Phys Rev D 92:123523, 2015). This model describes an early inflation era followed by a radiation era. We show that this model is related to the model of universe based on a quadratic equation of state introduced in our previous paper (Chavanis in Universe 1:357, 2015). This correspondence may provide a more fundamental justification of our equation of state. It may arise from quantum corrections to linear electrodynamics when the electromagnetic field becomes very high. We discuss two quantitatively different models of early universe. In Model I, the primordial density of the universe is identified with the Planck density. At t=0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$t=0$$\\end{document}, the universe had the characteristics of a Planck black hole (“planckion” particle). During the inflation, which takes place on a Planck timescale, the size of the universe evolves from the Planck length to a size comparable to the Compton wavelength of the neutrino. If we interpret the radius of the universe at the end of the inflation (neutrino’s Compton wavelength) as a minimum length related to quantum gravity and use Zeldovich’s first formula of the vacuum energy, we obtain the correct value of the cosmological constant. In Model II, the primordial density of the universe is identified with the electron density as a consequence of nonlinear electrodynamics. At t=0\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$t=0$$\\end{document}, the universe had the characteristics of an electron. This can be viewed as a refinement of the “primeval atom” of Lemaître. During the inflation, which takes place on a gravitoelectronic timescale, the size of the universe evolves from the electron’s classical radius to a size comparable to the size of a dark energy star of the stellar mass. If we interpret the radius of the universe at the beginning of the inflation (electron’s classical radius) as a minimum length related to quantum gravity and use Zeldovich’s second formula of the vacuum energy, we obtain the correct value of the cosmological constant. This provides an accurate form of Eddington’s relation between the cosmological constant and the mass of the electron. We use these arguments to show that the present universe contains about 1080\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$10^{80}$$\\end{document} protons (Eddington’s number). We also introduce a nonlinear electromagnetic Lagrangian that describes simultaneously the early inflation, the radiation era, and the dark energy era. It may account for a form of “generalized radiation” that is present from the beginning to the end of the cosmic evolution. Baryonic and dark matter are treated as independent noninteracting species. The dark energy era is due to the electromagnetic vacuum energy (zero-point radiation). In this approach, both the early inflation and the late acceleration of the universe (dark energy) arise as a consequence of nonlinear electrodynamics. This leads to a simple model of magnetic universe without singularity (aioniotic universe).

Asymptotic Behavior of Saxion–Axion System in Stringy Quintessence Model

AbstractThe late time behavior of the slow‐roll parameter in the stringy quintessence model is studied when axion as well as saxion are allowed to move. Even though the potential is independent of the axion at tree level, the axion can move through its coupling to the saxion and the background geometry. Then the contributions of the axion kinetic energy to the slow‐roll parameter and the vacuum energy density are not negligible when the slow‐roll approximation does not hold. As the dimension of the field space is doubled, the fixed point at which the time variation of the slow‐roll parameter vanishes is not always stable. It is found that the fixed point in the saxion–axion system is at most partially stable, in particular when the volume modulus and the axio‐dilaton, the essential ingredients of the string compactification, are taken into account. It seems that as more saxion–axion pairs are considered, achieving the stability of the fixed point becomes difficult.

Does the cosmological constant really indicate the existence of a dark dimension?

According to the “dark dimension” (DD) scenario, we might live in a universe with a single compact extra dimension, whose mesoscopic size is dictated by the measured value of the cosmological constant. This scenario is based on swampland conjectures that lead to the relation [Formula: see text] between the vacuum energy [Formula: see text] and the size of the extra dimension [Formula: see text] ([Formula: see text] is the mass scale of a Kaluza–Klein tower), and on the corresponding result [Formula: see text] from the effective field theory (EFT) limit. We show that [Formula: see text] contains previously missed UV-sensitive terms, whose presence invalidates the widely spread belief (based on existing literature) that the calculation gives automatically the finite result [Formula: see text] (with no need for fine-tuning). This renders the matching between [Formula: see text] and [Formula: see text] a nontrivial issue. We then comment on the necessity to find a mechanism that implements the suppression of the aforementioned UV-sensitive terms. This should finally allow to frame the DD scenario in a self-consistent framework, also in view of its several phenomenological applications based on EFT calculations.

ЗОРЯНЕ ВИПРОМІНЮВАННЯ У ГАЛАКТИЧНОМУ ЦИКЛІ

The existence of the Universe presupposes the circulation of energy emitted by stars between galaxies and the cosmic environment. The third galactic process presented in the article "Life of Galaxies in the Observable Universe" contains a fragment associated with the release of energy by stellar photons propagating through space. In this report, it is suggested that the release of energy by quanta is carried out through two channels. The first is the transfer of energy to hypothetical particles of the subtle component of dark matter formed from the paired unification of microwave quanta. The second channel is the release of the bulk of the photons' energy to the vacuum structures. The distribution of the returned energy over the two channels is determined by its participation in processes at two different levels. The first level is electromagnetic processes occurring in the plasma of stellar atmospheres. The second is the participation of the returned energy in the processing of stellar waste in galactic centers, when the latter are in the quasar phase and destroy the nuclei of atoms of old stars into the original particles. The participation of vacuum in the reception of energy and its transfer to galaxies means that the vacuum near large masses will be distinguished by an increased density of its energy. The latter should be reflected in the physical constants whose values depend on the state of the vacuum. Such constants include, for example, the electric and magnetic constants. Therefore, one should expect a shift in the spectral lines of radiation of atoms near the nuclei of quasars relative to the spectral lines of radiation emanating from points of the same galaxies, but remote from their centers. The latter means that the indicated difference in redshifts within galaxies can introduce additional errors in determining the distances to them. Classical electrodynamics and the above assumption indicate the dependence of the speed of light on the point of its determination. It is concluded that some physical constants depending on the local density of vacuum energy will be constant only conditionally.

Vacuum energy of nonsupersymmetric S˜ heterotic string models

We use the free fermionic formulation of the heterotic string in four dimensions to study the vacuum structure and energy of nonsupersymmetric tachyon free models that correspond to compactifications of tachyonic vacua of the ten-dimensional heterotic string. We explore the class of heterotic SO(10) nonsupersymmetric models constructed from the S˜ model in the free fermionic formalism and investigate the dependence of the potential on the geometric moduli. This paper will explore a sample of 109 string vacua to find the frequency of viable models, classifying these vacua by the following fertility criteria: tachyon presence, number of spinorial 16/16¯ representations, vectorial 10 states, and top quark mass coupling compatibility. Of these we find those that mimic supersymmetric models with equal number of bosons and fermions at the massless level: a00=0. Tachyon free models occur with a frequency of 5.309×10−3. Furthermore, models that fulfil the rest of the phenomenological fertility conditions and the additional condition on a00 occur with probability 4.0×10−9 We analyze the partition functions and study the moduli dependence of such models, finding that almost all fertile models have finite, positive potential at the free fermionic point, with 2 out of 84 of the fertile cores having negative, finite potential. We demonstrate that the free fermionic point is not necessarily a minimum in the potential. This work provides further evidence that supersymmetry may not be a necessary ingredient of phenomenological models, recreating many of the desirable features of such models without employing supersymmetry. Published by the American Physical Society 2024

The hydrodynamics of inverse phase transitions

First order phase transitions are violent phenomena that occur when the state of the universe evolves abruptly from one vacuum to another. A direct phase transition connects a local vacuum to a deeper vacuum of the zero-temperature potential, and the energy difference between the two minima manifests itself in the acceleration of the bubble wall. In this sense, the transition is triggered by the release of vacuum energy. On the other hand, an inverse phase transition connects a deeper minimum of the zero-temperature potential to a higher one, and the bubble actually expands against the vacuum energy. The transition is then triggered purely by thermal corrections. We study for the first time the hydrodynamics and the energy budget of inverse phase transitions. We find several modes of expansion for inverse bubbles, which are related to the known ones for direct transitions by a mirror symmetry. We finally investigate the friction exerted on the bubble wall and comment on the possibility of runaway walls in inverse phase transitions.

The cosmological constant and energy quantization in hydrogen atom in light of a doubly special relativity with a minimum speed

We show the existence of an invariant minimum speed in space–time as a new fundamental constant of nature by forming the basis of a doubly special relativity so-called Symmetrical Special Relativity (SSR). Such an observer-independent minimum speed emerges from the Dirac’s Large Number Hypothesis (LNH), which leads us to build SSR-theory. This allows us to understand that the hydrogen atom represents the most stable bound state in the universe as being a fundamental structure in space–time with two speed limits, i.e., the speed of light c and a minimum speed V. So the symmetry in space–time given by an invariant minimum speed, which has origin in the electrical and gravitational bound states in hydrogen atom is able to provide a deeper understanding of the proton-electron mass ratio. We investigate how the minimum speed plays a fundamental role in the quantization of energy in hydrogen atom. The minimum speed V is related to a preferred background frame (ultra-referential SV) represented by the surface of a dark cone forbidden to the world line of any particle. It is related to the vacuum energy that leads to the cosmological constant. An investigation of SSR is done and a hypothetical experiment of Bose–Einstein condensation is proposed to detect the minimum speed as a possible Lorentz violation at very low energies.

Ion Leakage Current Control for Polycrystalline Metal Halide Perovskite Direct X-ray Detectors.

Metal halide perovskites have emerged as promising materials for X-ray detection due to their high X-ray attenuation coefficients, defect tolerance, and suitability for large-area, low-temperature fabrication. However, the intrinsic high ion conductivity of these materials presents challenges, such as high dark current density and current drift, which impair the stability and sensitivity of perovskite X-ray detectors. This study introduces an approach to mitigating these issues by incorporating 2,2,3,3,3-pentafluoropropylamine hydrochloride (PFH) into polycrystalline MAPbI3-xClx films using a one-step blade-coating method. PFH aggregates at grain boundaries, raising local vacuum energy levels and passivating surface defects, thereby reducing ion conductivity without affecting electron conductivity. As a result, this approach significantly reduces the dark current and enhances sensitivity, achieving a low detection limit of 14.7 nGyair/s. Additionally, it improves signal stability, consistency, and response speed of the detector. These findings suggest that PFH is a promising additive for advancing the performance and practical application of polycrystalline metal halide perovskite-based X-ray detectors.