chaos...

.

Partilho aqui esta imagem que tirei de uma página da internet,  porque a pergunta que está colocada

atrás da produtora e\ou apresentadora do programa é pertinente. Isto para quem trabalha em e\ou com 

sistemas dinâmicos e sobretudo se interessa, tem curiosidade e interesse

no âmbito de caos, classico e ''quântico''  (e em cosmologia).

São temas que me são (recentemente) muito caros,  que eu gosto muito. Dito isto,

  talvez a pergunta fosse reformulada em

''como é que o caos pode 'aparecer' ...'' e\ou ''porque é que caos aparece...'' i.e.,

talvez perguntas

mais fundamentais. Saliento isto porque o caos não existe definido de uma forma inequivoca

e, ambito quantico (i.e., o que é caos quantico, se é que 'existe' ou pode ser....', pois

há quem diga que

não existe mesmo). A 'progressão'

do  quântico para clássico sobre o fenómeno do caos tem sido motivo de muita e

aturada investigação nesta última metade do século XX e ainda no início deste século. E é

algo que me fascina, que me tem fascinado desde uma palestra que assisti em 1997,

faz muitos anos, sobre a aplicação de métodos clássicos mas como extender para

cenarios... quanticos. Como definir,  se é que é algum modo podemos,

definir caos ou não em tonalidades

quanticas. Gosto pois e bastante da provocação colocada naquela frase.

https://www.fct.pt/apoios/Computacao/computacaoavancada/2edicao.phtml.pt

.

https://www.fct.pt/apoios/Computacao/computacaoavancada/2edicao.phtml.pt

Broadening the meaning about the black-hole surface upon using fractional calculus

.

Somewhat almost coincidently, our paper in  https://arxiv.org/abs/2107.04789 (soon to appear published in

EPJ-C https://epjc.epj.org/epjc-aims-and-scope or https://www.springer.com/journal/10052)

got accepted for publication in a date very close to  the one in https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.011103,

which we

actually cited in a rush, see [12] in https://arxiv.org/pdf/2107.04789.pdf, page 12.

Our work is exciting and rewarding, if we can say it. On the one hand, it bridges with works

from respected colleagues and friends as the paper [3] by the late J Barrow, on the other

hand it opens the possibility to test with cause,  about

black hole thermodymanmics, namely ther area theorem that

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.011103 opens up and is NOT excluding our work,

given the range of our parameter 'alpha' for the allowed deviations; we actually include the

standard case as a particular limit.

Our work maintains the structure of either GR or quantum mechanics, we merely introduce a new

and interesting feature that causes

modifications that may be tested in black hole physics, including gravitational radiation as we also point to:

fractional calculus, an old idea back to Leibniz, worked by

Riemmann, Abel, Liouville and many other mathematical grandees,

is now of  current use in many applications in engineering and material science. And fractional

quantum mecanics, too: The idea is to use derivatives of...fractional order, which have been of sucess in difusion

processes and others, path integrals as well, but then extend it to quantum mechanics (Feynman).

Please, read more about it: https://en.wikipedia.org/wiki/Fractional_quantum_mechanics#Fractional_Schr%C3%B6dinger_equation,

https://en.wikipedia.org/wiki/Fractional_calculus; see also in

https://www.worldscientific.com/doi/abs/10.1142/S0217732321400058 and

https://www.mdpi.com/2227-7390/8/3/313/htm (open access).

In summary, in https://arxiv.org/abs/2107.04789 we

present an analysis of the thermodynamics of a "fractal" induced (by fractional quantum mechanics = FQM)

Schwarzschild black hole,

using a fractional calculus modified version of the Wheeler-DeWitt Equation.

Let us emphasize that the surface area of the black hole ie a measure of its entropy, but we show that in FQM it

can increase beyond the standard  calculation, and thus the Bekenstein-Hawking bound

may need  to be broaden  into an area power law.

Thus, from the geometrical black hole surface, we may

admit that there may be more to unveil. In particular, we

may speculate that a behavior, suggesting a broader

dimensional dynamics at the horizon, can be explored

in the wider ranges of gractional quantum mechanics (and

calculus), actually supporting the conjecture proposed by J Barrow in [3], see page 12

in https://arxiv.org/pdf/2107.04789.pdf. We may,

therefore, be allowed to speculate about the possibility that at some realistic observable scale,

a broader surface area of a black hole

can be considered, encompassing the standard value

from Bekenstein-Hawking, because of the ''fractional'' structure of the horizon.

In this context, we propose a broader equation, for  how

the entropy varies and how the Bekenstein-Hawking expressions fits in, and fitting too

within https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.011103.

It brings an interesting perspective

such that the entropy of a black hole

could instead be proportional to a power of its  surface,

depending on the choice of 'alpha' and, for 1<alpha<2 (alpha=2 the stadard case of

Bekenstein-Hawking') still fitting https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.011103

and vindicating J Barrow's elegant bold but elegant conjecture.

already or soon to appear: calls for post-doc research grants

It has been recently announced

(e.g., FCT www.fct.pt or https://fundacaolacaixa.pt/pt/bolsas-programa)

or it will be further announced in the near future, about

calls for post-doctoral programs, through several funding agencies as cited herewith, among a few.

Please check this blog\mailings and\or other means e.g. sites of those cited agencies or others

that I use and share, e.g., at Facebook, Instagram or Tweeter, Linkedin

for either recent or not so recent

but  with the structural framework of the application for you to follow. Thanks.

In case of doubt or difficulty, please persevere and do search. You know how it is

, ''seek and you will find'',  Matthew 7:7 or so or close by.

Moreover and

this is a very important information. If you are interested in working in the EU (and Portugal in

particular, with a contract for research in R&D) please

do read the guidelines and the regulations e.g., in the FCT site\link. It is very

important that you have  your PhD diploma or certificate

as  approved for equivalent legal stand, otherwise your application will be

immediately rejected on  administrative

arguments. So please, to  apply to work  it will be very important that you have all the documents and

in particular a legal equivalent certificate (e.g., by an embassy or any other agency within Portugal or the

European Union) that allows you to work in the European Union.

Please, see also the possible announcements that I will gradually put here

(possibly only by late August onward, after my summer break / holidays and corresponding absence).

I reiterate that it is VERY important,  besides the whole

amount of technical and R&D content,

that  the administrative document as mentioned is attached.

Moreover, given the extremely ferocious competitive selection for funding, and shortage of

funds due to cuts,

that you ought also start to work as soon as possible within the scientific program.

The 'Delta'...

The Honourable Schoolboy 

Log & linear. Scales can (often) mislead. So, to be taken with reason. 

I.e., things will improve. Things will be better.  In Vaccination 'gratias'. Meanwhile, do brace and do take C-A-R-E. Keep healthy. Be prudent. 

It is the 'Delta'. Important not to let it widen more and more. Preferably, stop. Then, gradually reduce it. 

O futuro do programa CEEC

The Honourable Schoolboy 

Observational confirmation of Hawking’s black-hole area theorem based on data from GW150914

https://journals.aps.org/prl/accepted/36074Y8aM291c462a4e264336d883136eb53c122b?s=15

Testing the black-hole area law with GW150914

Phys. Rev. Lett.

Maximiliano Isi, Will M. Farr, Matthew Giesler, Mark A. Scheel, and Saul A. Teukolsky

Accepted

26 May 2021

ABSTRACT

ABSTRACT

We present observational confirmation of Hawking’s black-hole area theorem based on data from GW150914, finding agreement with the prediction with () probability when we model the ringdown including (excluding) overtones of the quadrupolar mode. We obtain this result from a new time-domain analysis of the pre- and postmerger data. We also confirm that the inspiral and ringdown portions of the signal are consistent with the same remnant mass and spin, in agreement with general relativity.

Powerful

The Honourable Schoolboy 

Physical Review Letters

Constraints on Cosmic Strings Using Data from the Third Advanced LIGO--Virgo Observing Run

A search for gravitational-wave signals produced by cosmic strings in the Advanced LIGO and Virgo full O3 data set improve upon the previous LIGO-Virgo constraints on G\ensuremath{\mu} by one to two orders of magnitude, depending on the model which is tested.

sail

simpósios ANICT 2021

The Honourable Schoolboy 

this may interest you: https://docs.google.com/forms/d/e/1FAIpQLSfvbwV4v7jfPfF8d8g9a7g-ACis58TWyIZB2ltQO4JlDEeNSg/viewform . It is or will be in Portuguese but... maybe of use to you

   Registo nos simpósios ANICT 2021
A ANICT irá organizar um ciclo de simpósios online, entre 5 de junho a 3 de julho, a decorrer aos sábados entre as 10h e as 11h30. Estes eventos pretendem (i) apresentar de forma sucinta algumas das principais políticas que podem ter impacto na estabilidade de emprego e carreira de investigadores em Portugal, (ii) esclarecer a comunidade científica sobre as questões e dúvidas retratadas em cada tema e (iii) recolher sugestões da comunidade para encontrar novas soluções para esses problemas.
*Obrigatório
Endereço de email *
O seu email apenas será utilizado para (i) lhe enviar o link de acesso ao simpósios e (ii) eventualmente enviar-lhe convites para participar em questionários relacionados com os temas dos simpósios. Não partilhamos o seu email com ninguém e no final dos simpósios ANICT 2021 todos os registos serão apagados.
A sua resposta
Indique por favor quais os simpósios que tem interesse em participar. *
12 de Junho - (Dificuldades de) Progressão na carreira científica
19 de Junho - Financiamento e o seu impacto no emprego científico e carreira
26 de Junho - O futuro do programa CEEC
3 de Julho - Os Laboratórios Associados e o impacto em contratos permanentes
Qual a sua situação profissional? *
Desempregado
Bolseiro de investigação
Contrato de trabalho temporário, como investigador
Contrato de trabalho permanente, como investigador
Outro tipo de contrato de trabalho
O número de participantes para cada simpósio é limitado. Irá receber um email com o link de acesso para cada um dos simpósios nos quais se inscreveu, com 1 a 2 dias de antecedência de cada evento.

google translation 

Registration at the ANICT 2021 symposia
ANICT will organize a cycle of online symposia, from June 5th to July 3rd, taking place on Saturdays between 10am and 11.30am. These events aim to (i) briefly present some of the main policies that may have an impact on the stability of employment and career of researchers in Portugal, (ii) clarify the scientific community about the issues and doubts portrayed in each theme and (iii) collect community suggestions for finding new solutions to these problems.
*Mandatory
Email address *
Your email address will only be used to (i) send you the link to access the symposia and (ii) eventually send you invitations to participate in questionnaires related to the topics of the symposia. We do not share your email with anyone and at the end of the ANICT 2021 symposia all records will be deleted.
Please indicate which symposia you are interested in attending. *
June 12 - (Difficulties of) Progression in the scientific career
June 19 - Funding and its impact on scientific employment and career
June 26 - The future of the CEEC program
3rd of July - Associate Laboratories and the impact on permanent contracts
What is your professional situation? *
Unemployed
Research fellow
Temporary employment contract, as a researcher
Permanent employment contract, as a researcher
Other type of employment contract
The number of participants for each symposium is limited. You will receive an email with the access link for each of the symposia you have registered for, 1-2 days before each event.

Post doc grants 2021->2022, 2023... Call(s) will be open soon

The Honourable Schoolboy 

https://www.fct.pt/apoios/contratacaodoutorados/empregocientifico/index.phtml.en

Bolsas e Becas.... . 2021 soon......

The Honourable Schoolboy 

https://fundacaolacaixa.pt/pt/educacao-bolsas/bolsas-da-fundacao-la-caixa/bolsas-de-pos-doutoramento-junior-leader/retaining

https://fundacionlacaixa.org/es/becas-la-caixa-posdoctorado-junior-leader-retaining 

https://fundacaolacaixa.pt/pt/educacao-bolsas/bolsas-da-fundacao-la-caixa/bolsas-de-pos-doutoramento-junior-leader/descricao-do-programa

Still a remarkable book about a tulip 🌷