Matching Items (3)
Filtering by

Clear all filters

148333-Thumbnail Image.png
Description

This thesis attempts to explain Everettian quantum mechanics from the ground up, such that those with little to no experience in quantum physics can understand it. First, we introduce the history of quantum theory, and some concepts that make up the framework of quantum physics. Through these concepts, we reveal

This thesis attempts to explain Everettian quantum mechanics from the ground up, such that those with little to no experience in quantum physics can understand it. First, we introduce the history of quantum theory, and some concepts that make up the framework of quantum physics. Through these concepts, we reveal why interpretations are necessary to map the quantum world onto our classical world. We then introduce the Copenhagen interpretation, and how many-worlds differs from it. From there, we dive into the concepts of entanglement and decoherence, explaining how worlds branch in an Everettian universe, and how an Everettian universe can appear as our classical observed world. From there, we attempt to answer common questions about many-worlds and discuss whether there are philosophical ramifications to believing such a theory. Finally, we look at whether the many-worlds interpretation can be proven, and why one might choose to believe it.

ContributorsSecrest, Micah (Author) / Foy, Joseph (Thesis director) / Hines, Taylor (Committee member) / Computer Science and Engineering Program (Contributor) / Barrett, The Honors College (Contributor)
Created2021-05
132766-Thumbnail Image.png
Description
This paper proposes that voter decision making is determined by more than just the policy positions adopted by the candidates in the election as proposed by Antony Downs (1957). Using a vector valued voting model proposed by William Foster (2014), voter behavior can be described by a mathematical model. Voters

This paper proposes that voter decision making is determined by more than just the policy positions adopted by the candidates in the election as proposed by Antony Downs (1957). Using a vector valued voting model proposed by William Foster (2014), voter behavior can be described by a mathematical model. Voters assign scores to candidates based on both policy and non-policy considerations, then voters then decide which candidate they support based on which has a higher candidate score. The traditional assumption that most of the population will vote is replaced by a function describing the probability of voting based on candidate scores assigned by individual voters. If the voter's likelihood of voting is not certain, but rather modelled by a sigmoid curve, it has radical implications on party decisions and actions taken during an election cycle. The model also includes a significant interaction term between the candidate scores and the differential between the scores which enhances the Downsian model. The thesis is proposed in a similar manner to Downs' original presentation, including several allegorical and hypothetical examples of the model in action. The results of the model reveal that single issue voters can have a significant impact on election outcomes, and that the weight of non-policy considerations is high enough that political parties would spend large sums of money on campaigning. Future research will include creating an experiment to verify the interaction terms, as well as adjusting the model for individual costs so that more empirical analysis may be completed.
ContributorsCoulter, Jarod Maxwell (Author) / Foster, William (Thesis director) / Goegan, Brian (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Department of Economics (Contributor) / Dean, W.P. Carey School of Business (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
Description

Jake Hernandez grew up in Houston, Texas where his frequent visits to the Museum of Fine Arts introduced him to the works of Mark Rothko and Piet Mondrian. Inspired by these artist’s use of color, Hernandez has leveraged his own understanding of color theory and mathematics to explore the complexity

Jake Hernandez grew up in Houston, Texas where his frequent visits to the Museum of Fine Arts introduced him to the works of Mark Rothko and Piet Mondrian. Inspired by these artist’s use of color, Hernandez has leveraged his own understanding of color theory and mathematics to explore the complexity of this element for his honors thesis. In Colored Squares I and II, Hernandez created a process of random color generation from a set of blue, red, and yellow pigments to explore color in the absence of human bias. Since artists' personal biases and inclinations towards color affect our exploration of this element, Hernandez wanted to eliminate these obstructions to investigate color to a much greater extent. In Colored Landscapes I, II, and III, Hernandez used the primaries again in a more expressive style. Drawing inspiration from his travels across Europe and North America, Hernandez created new landscapes all his own. These studies offer a substantiated argument for the limits of art itself, showing artists have only explored a very small fraction of art's possibilities and that more exploration can be done in color and the other elements of art.

ContributorsHernandez, Jake (Author) / Pomilio, Mark (Thesis director) / Button, Melissa (Committee member) / Barrett, The Honors College (Contributor) / School of Art (Contributor) / Department of Economics (Contributor)
Created2023-12