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João Penedones
João Miguel Augusto Penedones Fernandes (born in Porto, Portugal) is a Portuguese theoretical physicist active in the area of quantum field theory. He is currently an associate professor at the École Polytechnique Fédérale de Lausanne (EPFL). Career João Penedones studied physics at the University of Porto, where he obtained his undergraduate degree in 2002. He then obtained a Certificate of Advanced Studies in Mathematics from the University of Cambridge in 2003. In 2007, he got his PhD from the University of Porto, working in the field of string theory under the supervision of Miguel Costa. He then performed postdoctoral work at the Kavli Institute for Theoretical Physics (University of California, Santa Barbara) from 2008 to 2010 and at the Perimeter Institute for Theoretical Physics in Waterloo, Canada from 2010 to 2011. He then returned to the University of Porto to work as a research fellow until 2015, when he was named tenure track assistant professor at EPFL. ...
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University Of California, Santa Barbara
The University of California, Santa Barbara (UC Santa Barbara or UCSB) is a Public university, public Land-grant university, land-grant research university in Santa Barbara County, California, United States. Tracing its roots back to 1891 as an independent teachers college, UCSB joined the University of California system in 1944. It is the third-oldest undergraduate campus in the system, after University of California, Berkeley, UC Berkeley and University of California, Los Angeles, UCLA. UCSB's campus sits on the oceanfront site of a converted WWII-era United States Marine Corps, Marine Corps air station. UCSB is organized into three undergraduate colleges (UCSB College of Letters and Science, Letters and Science, UCSB College of Engineering, Engineering, College of Creative Studies, Creative Studies) and two graduate schools (Gevirtz Graduate School of Education, Education and Bren School of Environmental Science & Management, Environmental Science & Management), offering more ...
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Portuguese Physicists
Portuguese may refer to: * anything of, from, or related to the country and nation of Portugal ** Portuguese cuisine, traditional foods ** Portuguese language, a Romance language *** Portuguese dialects, variants of the Portuguese language ** Portuguese man o' war, a dangerous marine animal ** Portuguese people, an ethnic group See also * * ''Sonnets from the Portuguese'' * "A Portuguesa", the national anthem of Portugal * Lusofonia * Lusitania Lusitania (; ) was an ancient Iberian Roman province encompassing most of modern-day Portugal (south of the Douro River) and a large portion of western Spain (the present Extremadura and Province of Salamanca). Romans named the region after th ... * {{disambiguation Language and nationality disambiguation pages ...
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Mellin Transform
In mathematics, the Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform is closely connected to the theory of Dirichlet series, and is often used in number theory, mathematical statistics, and the theory of asymptotic expansions; it is closely related to the Laplace transform and the Fourier transform, and the theory of the gamma function and allied special functions. The Mellin transform of a complex-valued function defined on \mathbf R^_+= (0,\infty) is the function \mathcal M f of complex variable s given (where it exists, see Fundamental strip below) by \mathcal\left\(s) = \varphi(s)=\int_0^\infty x^ f(x) \, dx = \int_f(x) x^s \frac. Notice that dx/x is a Haar measure on the multiplicative group \mathbf R^_+ and x\mapsto x^s is a (in general non-unitary) multiplicative character. The inverse transform is \mathcal^\left\(x) = f(x)=\frac \int_^ x^ \varphi(s)\, ds. The notation ...
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Quantum Gravity
Quantum gravity (QG) is a field of theoretical physics that seeks to describe gravity according to the principles of quantum mechanics. It deals with environments in which neither gravitational nor quantum effects can be ignored, such as in the vicinity of black holes or similar compact astrophysical objects, as well as in the early stages of the universe moments after the Big Bang. Three of the four fundamental forces of nature are described within the framework of quantum mechanics and quantum field theory: the Electromagnetism, electromagnetic interaction, the Strong interaction, strong force, and the Weak interaction, weak force; this leaves gravity as the only interaction that has not been fully accommodated. The current understanding of gravity is based on Albert Einstein's general theory of relativity, which incorporates his theory of special relativity and deeply modifies the understanding of concepts like time and space. Although general relativity is highly regarded for ...
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S-matrix
In physics, the ''S''-matrix or scattering matrix is a Matrix (mathematics), matrix that relates the initial state and the final state of a physical system undergoing a scattering, scattering process. It is used in quantum mechanics, scattering theory and quantum field theory (QFT). More formally, in the context of QFT, the ''S''-matrix is defined as the unitary matrix connecting sets of asymptotically free particle states (the ''in-states'' and the ''out-states'') in the Hilbert space of physical states: a multi-particle state is said to be ''free'' (or non-interacting) if it Representation theory of the Lorentz group, transforms under Lorentz transformations as a tensor product, or ''direct product'' in physics parlance, of ''one-particle states'' as prescribed by equation below. ''Asymptotically free'' then means that the state has this appearance in either the distant past or the distant future. While the ''S''-matrix may be defined for any background (spacetime) that is a ...
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String Theory
In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interact with each other. On distance scales larger than the string scale, a string acts like a particle, with its mass, charge, and other properties determined by the vibrational state of the string. In string theory, one of the many vibrational states of the string corresponds to the graviton, a quantum mechanical particle that carries the gravitational force. Thus, string theory is a theory of quantum gravity. String theory is a broad and varied subject that attempts to address a number of deep questions of fundamental physics. String theory has contributed a number of advances to mathematical physics, which have been applied to a variety of problems in black hole physics, early universe cosmology, nuclear physics, and condensed matter ph ...
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Quantum Field Theory
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines Field theory (physics), field theory and the principle of relativity with ideas behind quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and in condensed matter physics to construct models of quasiparticles. The current standard model of particle physics is based on QFT. History Quantum field theory emerged from the work of generations of theoretical physicists spanning much of the 20th century. Its development began in the 1920s with the description of interactions between light and electrons, culminating in the first quantum field theory—quantum electrodynamics. A major theoretical obstacle soon followed with the appearance and persistence of various infinities in perturbative calculations, a problem only resolved in the 1950s with the invention of the renormalization procedure. A second major barrier came with QFT's apparent inabili ...
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Canada
Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of countries and dependencies by area, second-largest country by total area, with the List of countries by length of coastline, world's longest coastline. Its Canada–United States border, border with the United States is the world's longest international land border. The country is characterized by a wide range of both Temperature in Canada, meteorologic and Geography of Canada, geological regions. With Population of Canada, a population of over 41million people, it has widely varying population densities, with the majority residing in List of the largest population centres in Canada, urban areas and large areas of the country being sparsely populated. Canada's capital is Ottawa and List of census metropolitan areas and agglomerations in Canada, ...
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Waterloo, Ontario
Waterloo is a city in the Canadian province of Ontario. It is one of three cities in the Regional Municipality of Waterloo (formerly Waterloo County, Ontario, Waterloo County). Waterloo is situated about west-southwest of Toronto, but it is not considered to be part of the Greater Toronto Area (GTA). Due to the close proximity of the city of Kitchener, Ontario, Kitchener to Waterloo, the two together are often referred to as "Kitchener–Waterloo", "K-W", or "The Twin Cities". While several unsuccessful attempts to combine the municipalities of Kitchener and Waterloo have been made, following the 1973 establishment of the Region of Waterloo, less motivation to do so existed, and as a result, Waterloo remains an independent city. At the time of the Canada 2021 Census, 2021 census, the population of Waterloo was 121,436. History Indigenous peoples and settlement Indigenous peoples in Canada, Indigenous peoples such as the Haudenosaunee, Iroquois, Anishinaabe and Neutral Natio ...
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Perimeter Institute For Theoretical Physics
Perimeter Institute for Theoretical Physics (PI, Perimeter, PITP) is an independent research centre in foundational theoretical physics located in Waterloo, Ontario, Canada. It was founded in 1999. The institute's founding and major benefactor is Canadian entrepreneur and philanthropist Mike Lazaridis. The original building, designed by Saucier + Perrotte, opened in 2004 and was awarded a Governor General's Medal for Architecture in 2006. The Stephen Hawking Centre, designed by Teeple Architects, was opened in 2011 and was LEED Silver certified in 2015. In addition to research, Perimeter also provides scientific training and educational outreach activities to the general public. This is done in part through Perimeter's Educational Outreach team. History In 1999, Howard Burton—who had a PhD in theoretical physics from the University of Waterloo—emailed Mike Lazaridis along with 20 CEOs in an attempt to leave his Wall Street job. Lazaridis then pitched the idea of the ...
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Kavli Institute For Theoretical Physics
The Kavli Institute for Theoretical Physics (KITP) is a research institute of the University of California, Santa Barbara dedicated to theoretical physics. KITP is one of 20 Kavli Foundation (United_States)#The Kavli Institutes, Kavli Institutes. The National Science Foundation has been the principal supporter of the institute since it was founded as the Institute for Theoretical Physics in 1979. In a 2007 article in the ''Proceedings of the National Academy of Sciences'', KITP was given the highest impact index in a comparison of nonbiomedical research organizations across the United States. About In the early 2000s, the institute, formerly known as the Institute for Theoretical Physics, or ITP, was named after businessman and philanthropist Fred Kavli, in recognition of his donation of $7.5 million to the institute. Kohn Hall, which houses KITP, is located just beyond the Henley Gate at the East Entrance of the UCSB campus. The building was designed by the Driehaus Pri ...
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