Quantum field theory on compact stars near the Buchdahl limit

Very compact stars seem to be forbidden in general relativity. While Buchdahl’s theorem sets an upper bound on compactness, further no-go results rely on the existence of two light rings, the inner of which has been associated to gravitational instabilities. However, little is known about the role of quantum fields in these strong gravity regimes. Here, we consider the particularly simple model of a constant density star and we work in the probe approximation where the backreaction is ignored. We show that the trapping of modes inside the star leads the renormalized stress tensor of conformal field theories to diverge faster than the classical source in the Buchdahl limit. This leads to the violation of the null energy condition around the inner light ring. The backreaction of quantum fields in this regime therefore cannot be ignored. This happens as the star’s surface approaches the Buchdahl radius 9GM/4 rather than the Schwarzschild radius. The results are independent of the details of the interactions, but contain an ambiguity associated to the renormalization scheme

Black hole superradiance with dark matter accretion

Studies of black hole superradiance often focus on the growth of a cloud in isolation, accompanied by the spin-down of the black hole. In this paper, we consider the additional effect of the accretion of matter and angular momentum from the environment. We show that, in many cases, the black hole evolves by drifting along the superradiance threshold, in which case the evolution of its parameters can be described analytically or semianalytically. We quantify the conditions under which accretion can serve as a mechanism to increase the cloud-to-black hole mass ratio, beyond the standard maximum of about 10%. This occurs by a process we call oversuperradiance, whereby accretion effectively feeds the superradiance cloud, by way of the black hole. We give two explicit examples: accretion from a vortex expected in wave dark matter and accretion from a baryonic disk. In the former case, we estimate the accretion rate by using an analytical fit to the asymptotic behavior of the confluent Heun function. Level transition, whereby one cloud level grows while the other shrinks, can be understood in a similar way

Distinguishing environmental effects on binary black hole gravitational waveforms

Future gravitational wave interferometers such as the Laser Interferometer Space Antenna, Taiji, DECi-hertz Interferometer Gravitational wave Observatory and TianQin will enable precision studies of the environment surrounding black holes. These detectors will probe the millihertz frequency range, as yet unexplored by current gravitational wave detectors. Furthermore, sources will remain in band for durations of up to years, meaning that the inspiral phase of the gravitational wave signal, which can be affected by the environment, will be observable. In this paper, we study intermediate and extreme mass ratio binary black hole inspirals, and consider three possible environments surrounding the primary black hole: accretion disks, dark matter spikes and clouds of ultra-light scalar fields, also known as gravitational atoms. We present a Bayesian analysis of the detectability and measurability of these three environments. Focusing for concreteness on the case of a detection with LISA, we show that the characteristic imprint they leave on the gravitational waveform would allow us to identify the environment that generated the signal and to accurately reconstruct its model parameters.</p

Role of the repeat expansion size in predicting age of onset and severity in RFC1 disease

RFC1 disease, caused by biallelic repeat expansion in RFC1, is clinically heterogeneous in terms of age of onset, disease progression and phenotype. We investigated the role of the repeat size in influencing clinical variables in RFC1 disease. We also assessed the presence and role of meiotic and somatic instability of the repeat. In this study, we identified 553 patients carrying biallelic RFC1 expansions and measured the repeat expansion size in 392 cases. Pearson’s coefficient was calculated to assess the correlation between the repeat size and age at disease onset. A Cox model with robust cluster standard errors was adopted to describe the effect of repeat size on age at disease onset, on age at onset of each individual symptoms, and on disease progression. A quasi-Poisson regression model was used to analyse the relationship between phenotype and repeat size. We performed multivariate linear regression to assess the association of the repeat size with the degree of cerebellar atrophy. Meiotic stability was assessed by Southern blotting on first-degree relatives of 27 probands. Finally, somatic instability was investigated by optical genome mapping on cerebellar and frontal cortex and unaffected peripheral tissue from four post-mortem cases. A larger repeat size of both smaller and larger allele was associated with an earlier age at neurological onset [smaller allele hazard ratio (HR) = 2.06, P < 0.001; larger allele HR = 1.53, P < 0.001] and with a higher hazard of developing disabling symptoms, such as dysarthria or dysphagia (smaller allele HR = 3.40, P < 0.001; larger allele HR = 1.71, P = 0.002) or loss of independent walking (smaller allele HR = 2.78, P < 0.001; larger allele HR = 1.60; P < 0.001) earlier in disease course. Patients with more complex phenotypes carried larger expansions [smaller allele: complex neuropathy rate ratio (RR) = 1.30, P = 0.003; cerebellar ataxia, neuropathy and vestibular areflexia syndrome (CANVAS) RR = 1.34, P < 0.001; larger allele: complex neuropathy RR = 1.33, P = 0.008; CANVAS RR = 1.31, P = 0.009]. Furthermore, larger repeat expansions in the smaller allele were associated with more pronounced cerebellar vermis atrophy (lobules I–V β = −1.06, P < 0.001; lobules VI–VII β = −0.34, P = 0.005). The repeat did not show significant instability during vertical transmission and across different tissues and brain regions. RFC1 repeat size, particularly of the smaller allele, is one of the determinants of variability in RFC1 disease and represents a key prognostic factor to predict disease onset, phenotype and severity. Assessing the repeat size is warranted as part of the diagnostic test for RFC1 expansion

Ionization of gravitational atoms

Superradiant instabilities may create clouds of ultralight bosons around rotating black holes, forming so-called "gravitational atoms". It was recently shown that the presence of a binary companion can induce resonant transitions between bound states of these clouds, whose backreaction on the binary's orbit leads to characteristic signatures in the emitted gravitational waves. In this work, we show that the interaction with the companion can also trigger transitions from bound to unbound states of the cloud - a process that we refer to as "ionization"in analogy with the photoelectric effect in atomic physics. The orbital energy lost in the process overwhelms the losses due to gravitational wave emission and contains sharp features carrying information about the energy spectrum of the cloud. Moreover, we also show that if the companion is a black hole, then the part of the cloud impinging on the event horizon will be absorbed. This "accretion"leads to a significant increase of the companion's mass, which alters the dynamical evolution and ensuing waveform of the binary. We argue that a combined treatment of resonances, ionization, and accretion is crucial to discover and characterize gravitational atoms with upcoming gravitational-wave detectors

Ionization of gravitational atoms

Superradiant instabilities may create clouds of ultralight bosons around rotating black holes, forming so-called "gravitational atoms". It was recently shown that the presence of a binary companion can induce resonant transitions between bound states of these clouds, whose backreaction on the binary's orbit leads to characteristic signatures in the emitted gravitational waves. In this work, we show that the interaction with the companion can also trigger transitions from bound to unbound states of the cloud - a process that we refer to as "ionization"in analogy with the photoelectric effect in atomic physics. The orbital energy lost in the process overwhelms the losses due to gravitational wave emission and contains sharp features carrying information about the energy spectrum of the cloud. Moreover, we also show that if the companion is a black hole, then the part of the cloud impinging on the event horizon will be absorbed. This "accretion"leads to a significant increase of the companion's mass, which alters the dynamical evolution and ensuing waveform of the binary. We argue that a combined treatment of resonances, ionization, and accretion is crucial to discover and characterize gravitational atoms with upcoming gravitational-wave detectors

Avaliação do processo produtivo de uma indústria de manufatura de painéis por meio do balanço de material e do rendimento da matéria-prima Evaluation of the productive process of a panel manufacturing industry through material balance and the raw-material yield

O trabalho foi desenvolvido no setor de manufatura de painéis da Battistella Indústria e Comércio Ltda., localizada em Santa Catarina, e teve como objetivo a avaliação do processo produtivo de painéis, utilizando-se os princípios do balanço de material e do rendimento da matéria-prima. Além disso, pretendeu-se estabelecer uma metodologia para aplicação em outras indústrias madeireiras. Os dados foram obtidos através de visitas, aplicação de questionários e dados de escritório, e elaboraram-se equações e um fluxograma para representar o balanço de material. Concluiu-se que a indústria é integrada, representando vantagem competitiva. O balanço de material indicou que a atividade com maior potencial gerador de resíduos foi a preparação de sarrafos de madeira (55,71% do total de resíduos gerados). As atividades com maiores rendimentos foram a prensagem (97,44%), o seccionamento (93,92%), o esquadrejamento (93,51), o lixamento (90,97%) e a preparação de sarrafos (54,51%). O rendimento geral da manufatura foi de 63,16%, sendo os valores encontrados no trabalho similares aos da literatura. A metodologia desenvolvida para o trabalho é simples e pode ser aplicada em outras indústrias do setor madeireiro.<br>The present study aimed at evaluating the productive process of panels, using the principles of material balance and the yield of wood raw material, in order to establish a methodology to be applied in other wood industries. This work was carried out in the panel-manufacturing sector of Battistella Indústria e Comércio Ltda, State of Santa Catarina. Data were obtained by means of visits, questionnaire application and office data. In order to represent the material balance some equations and a flowchart were produced. Based on these data, it was possible to conclude that the industry is integrated, fact that represents a competitive advantage. The material balance indicated that the activity with the highest potential to produce waste was wood lath preparation (55,71% from all the waste); the activities with the highest yield were pressing (97,44%) followed by sectioning (93,92%); boarding (93,51%); sandpapering (90,97%) and lath preparation (54,51%). The overall yield of manufacturing was 63,16%. These values were similar to those found in the literature. The methodology developed in this study is simple and may be applied to any other industry of the wood sector