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University at Albany, State University of New York

Entropy

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Full-Text Articles in Physics

The Foundations Of Inference And Its Application To Fundamental Physics, Nicholas Matthew Carrara Aug 2021

The Foundations Of Inference And Its Application To Fundamental Physics, Nicholas Matthew Carrara

Legacy Theses & Dissertations (2009 - 2024)

This thesis concerns the foundations of inference – probability theory,entropic inference, information geometry, etc. – and its application to the Entropic Dynamics (ED) approach to Quantum Mechanics (QM) [21, 22, 41, 53, 56–61, 150–153, 165, 195, 196, 268]. The first half of this thesis, chapters 2-6, concern the development of the inference framework. We begin in chapter 2 by discussing de- ductive inference, which involves formal logic and it’s role in access- ing the truth of propositions. We eventually discover that deductive inference is incomplete, in that it can’t address situations in which we have incomplete information. This necessitates a …


The Entropic Dynamics Of Relativistic Quantum Fields In Curved Space-Time, Selman Ipek Jan 2021

The Entropic Dynamics Of Relativistic Quantum Fields In Curved Space-Time, Selman Ipek

Legacy Theses & Dissertations (2009 - 2024)

It has often been the case in history that the laws of physics have been used as the framework for understanding and implementing information processing. The tacit assumption is that the laws of physics are fundamental and that the notion of information is derived from these laws. Here we take the opposite view: the laws of physics are an application of the rules for processing information. The inferential framework of entropic dynamics (ED) has previously been developed by A. Caticha for the purposes of understanding and deriving quantum theory, in much the same way that E.T. Jaynes used the MaxEnt …


The Entropic Dynamics Approach To The Paradigmatic Quantum Mechanical Phenomena, Susan Difranzo Jan 2018

The Entropic Dynamics Approach To The Paradigmatic Quantum Mechanical Phenomena, Susan Difranzo

Legacy Theses & Dissertations (2009 - 2024)

Standard Quantum Mechanics, although successful in terms of calculating and predicting


The Inferential Design Of Entropy And Its Application To Quantum Measurements, Kevin Vanslette Jan 2018

The Inferential Design Of Entropy And Its Application To Quantum Measurements, Kevin Vanslette

Legacy Theses & Dissertations (2009 - 2024)

This thesis synthesizes probability and entropic inference with Quantum Mechanics and quantum measurement [1-6]. It is shown that the standard and quantum relative entropies are tools \emph{designed} for the purpose of updating probability distributions and density matrices, respectively [1]. The derivation of the standard and quantum relative entropy are completed in tandem following the same inferential principles and design criteria. This provides the first design derivation of the quantum relative entropy while also reducing the number of required design criteria to two.


Black Hole Microstates In String Theory, Joseph Lewkowicz Jan 2015

Black Hole Microstates In String Theory, Joseph Lewkowicz

Legacy Theses & Dissertations (2009 - 2024)

String theory has resolved the information paradox associated with entropy of black holes by identifying microscopic states contributing to this entropy. This thesis reviews the origin of the paradox, and discusses the progress in resolving it, starting from the counting of states by Strominger and Vafa, and culminating in the current work on constructing fuzzball geometries. A particular emphasis is given to a promising technique for constructing new geometries known as spectral flow.