Liesa Berisha - Academia.edu (original) (raw)
Liesa Berisha is an independent academic conducting graduate-level research with a strong focus on celestial holography and higher-dimensional BMS symmetry. She is the founder and Executive Director of the Institute for Advanced Research "Cognitio", which empowers young scholars to explore cutting-edge research. Liesa has published a paper on the intersection of nuclear physics and quantum phenomena and is currently conducting research on BMS symmetry in higher-dimensional spacetimes. Additionally, she holds certifications in blockchain technology, data analysis (Wolfram U and Google), and embeddings for natural language processing, highlighting her interdisciplinary expertise in science and technology.
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Papers by Liesa Berisha
In the article, I trace the historical development of BMS symmetry research from 2014 to 2024, co... more In the article, I trace the historical development of BMS symmetry research from 2014 to 2024, covering foundational studies and notable advancements. A particularly interesting study from 2018 discusses the ADM approach at spatial infinity, presenting new boundary conditions for BMS invariance. Additionally, I explore the extension of the Corvino-Schoen theorem to super translations, shedding light on the role of polylogarithmic terms in understanding gravitational phenomena. These insights are crucial for advancing our grasp of gravitational waves and spacetime dynamics in higher dimensions.
This scientific manuscript will provide a definitive answer to the asymmetrical term in the Semi-... more This scientific manuscript will provide a definitive answer to the asymmetrical term in the Semi-empirical mass formula, proving the obligatory quantization of classical models. We will asses the problem with fermions as they strictly obey the conceptual laws of the Pauli exclusion principle. Finally, we will conclude the importance of newly-progressive discoveries that posses a certain empirical approach in the Nuclear Shell Model. 1 Historical background The semi-empirical mass formula is an empirically purified form of the liquid drop model. This formula is based partly on theory and partly based on experimental research, as the name states. The "Weizsäcker Formula" is one of the other names that is originally used, since in 1935 Carl Friedrich von Weizsäcker Was the one who formulated it. It is a semi-empirical formula, because although it contains a number of constants that have to be found by fitting experimental data, the formula does have a theoretical basis[1].
Teaching Documents by Liesa Berisha
The solution to the problem involves deriving the stress-energy tensor for the string theory worl... more The solution to the problem involves deriving the stress-energy tensor for the string theory worldsheet and examining how it impacts the equations of motion. Starting with the definition of the stress-energy tensor, the solution shows that variations around the classical solution lead to the equation of motion stating that the stress-energy tensor is equal to zero. By using the identity for the variation of the worldsheet metric, an explicit expression for the stress-energy tensor is derived, capturing the behavior of the string's worldsheet and its coordinates.
The solution also addresses the boundary conditions for both open and closed strings, ensuring that the Neumann boundary condition for open strings is respected. It further includes the application of Weyl rescaling and solves for the Ricci scalar to derive the equation of motion for the string's worldsheet metric. The approach moves through the formulation of the Polyakov action, the path integral quantization, and the role of boundary conditions for open strings. Laurent expansions are introduced to define the Virasoro generators, and their algebra is shown to be consistent with the conformal symmetry of string theory.
In conclusion, the solution ensures that the stress-energy tensor is conserved and satisfies the necessary conditions for both open and closed strings. The method provides a comprehensive framework for understanding the string's dynamics, worldsheet structure, and quantum effects, ensuring that these are consistent with the equations of motion and underlying symmetries in various geometrical contexts.
In the article, I trace the historical development of BMS symmetry research from 2014 to 2024, co... more In the article, I trace the historical development of BMS symmetry research from 2014 to 2024, covering foundational studies and notable advancements. A particularly interesting study from 2018 discusses the ADM approach at spatial infinity, presenting new boundary conditions for BMS invariance. Additionally, I explore the extension of the Corvino-Schoen theorem to super translations, shedding light on the role of polylogarithmic terms in understanding gravitational phenomena. These insights are crucial for advancing our grasp of gravitational waves and spacetime dynamics in higher dimensions.
This scientific manuscript will provide a definitive answer to the asymmetrical term in the Semi-... more This scientific manuscript will provide a definitive answer to the asymmetrical term in the Semi-empirical mass formula, proving the obligatory quantization of classical models. We will asses the problem with fermions as they strictly obey the conceptual laws of the Pauli exclusion principle. Finally, we will conclude the importance of newly-progressive discoveries that posses a certain empirical approach in the Nuclear Shell Model. 1 Historical background The semi-empirical mass formula is an empirically purified form of the liquid drop model. This formula is based partly on theory and partly based on experimental research, as the name states. The "Weizsäcker Formula" is one of the other names that is originally used, since in 1935 Carl Friedrich von Weizsäcker Was the one who formulated it. It is a semi-empirical formula, because although it contains a number of constants that have to be found by fitting experimental data, the formula does have a theoretical basis[1].
The solution to the problem involves deriving the stress-energy tensor for the string theory worl... more The solution to the problem involves deriving the stress-energy tensor for the string theory worldsheet and examining how it impacts the equations of motion. Starting with the definition of the stress-energy tensor, the solution shows that variations around the classical solution lead to the equation of motion stating that the stress-energy tensor is equal to zero. By using the identity for the variation of the worldsheet metric, an explicit expression for the stress-energy tensor is derived, capturing the behavior of the string's worldsheet and its coordinates.
The solution also addresses the boundary conditions for both open and closed strings, ensuring that the Neumann boundary condition for open strings is respected. It further includes the application of Weyl rescaling and solves for the Ricci scalar to derive the equation of motion for the string's worldsheet metric. The approach moves through the formulation of the Polyakov action, the path integral quantization, and the role of boundary conditions for open strings. Laurent expansions are introduced to define the Virasoro generators, and their algebra is shown to be consistent with the conformal symmetry of string theory.
In conclusion, the solution ensures that the stress-energy tensor is conserved and satisfies the necessary conditions for both open and closed strings. The method provides a comprehensive framework for understanding the string's dynamics, worldsheet structure, and quantum effects, ensuring that these are consistent with the equations of motion and underlying symmetries in various geometrical contexts.