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Mo Isotopes In The Aleutian And Costa Rican Arcs: Source Variability And Juvenile Crust Formation, Ekaterina Rojas Kolomiets Jul 2025

Mo Isotopes In The Aleutian And Costa Rican Arcs: Source Variability And Juvenile Crust Formation, Ekaterina Rojas Kolomiets

Theses and Dissertations

Chemical and physical transfer between the surface, lithosphere and asthenosphere at subduction zones leads to arc magmatism and continental crust (CC) production. Subduction zones magmas and associated volcanic products sample a variety of magmatic sources that contribute to their chemical compositions in various proportions. This dissertation contributes to the study of subduction zones magmatism by assessing the relative role of subduction inputs (sediments, altered oceanic crust – AOC – and serpentinite) as flux agents in the arc magmatism and in CC formation in subduction zones under the scope of Mo isotope systematics.

I present the first Mo isotope analyses form …


Exploring The Self-Assembly Of Functional Bis-Urea Macrocycles: M-Terphenyl Bis Urea Macrocycles And Triphenylamine Bis-Urea Macrocycles, Gamage Isuri Pramodya Wijesekera Jul 2025

Exploring The Self-Assembly Of Functional Bis-Urea Macrocycles: M-Terphenyl Bis Urea Macrocycles And Triphenylamine Bis-Urea Macrocycles, Gamage Isuri Pramodya Wijesekera

Theses and Dissertations

Porous materials have gained significant attention due to their diverse applications in catalysis, separation, and molecular storage. Among them, self-assembled macrocycles represent a unique class of functional materials that leverage non-covalent interactions to form well-defined architectures with pores of controlled size. This thesis explores the design, synthesis, and self-assembly of bis-urea macrocycles in both solid-state and solution-phase environments, with a particular focus on supramolecular polymerization mechanisms and the emergence of kinetically trapped states.

The first chapter of this thesis presents a detailed overview of self-assembled porous materials, categorizing them based on pore dimensions and discussing their significance in catalysis, separation, …


Two Dimensional Van Der Waals Magnet, Cheongheon Lee Jul 2025

Two Dimensional Van Der Waals Magnet, Cheongheon Lee

Theses and Dissertations

Conventional charge-based memory has reached its limits in improving energy efficiency while scaling down size. Consequently, memory utilizing 2D magnetic materials has emerged as an alternative. 2D Van der Waals (VdW) magnets are ultrathin magnets with unique properties that make them optimal for this purpose. Utilizing the weak interlayer coupling via VdW interaction has enhanced the possibility of integrating diverse materials to create heterostructures. The integration of spintronics requires not only stable magnetization but also an effective switching mechanism. Various external influences have been experimentally tested, such as the proximity effect, external magnetic field, gate voltage, and temperature dependence. This …


Physics Oriented Deep Learning For Material Prediction And Generation, Nihang Fu Jul 2025

Physics Oriented Deep Learning For Material Prediction And Generation, Nihang Fu

Theses and Dissertations

The discovery of new materials is critical to advancing various industries, but traditional experimental methods for materials discovery remain slow and resource-intensive. Recent advances in machine learning (ML), particularly deep learning (DL), have greatly improved and accelerated two main aspects of modern computational material discovery: material design (e.g., material generation) and material screening (e.g., property prediction). However, a key challenge remains: standard ML models often struggle to perform domain-specific tasks effectively. Incorporating domain-specific knowledge, specifically the underlying physics of materials, into ML/DL models is key to improving the accuracy and reliability of material generation and prediction models.

This dissertation discusses …


On A Conjecture On Covering Systems And An Irreducibility Question On Sparse 0,1-Polynomials, Alexandros Kalogirou Jul 2025

On A Conjecture On Covering Systems And An Irreducibility Question On Sparse 0,1-Polynomials, Alexandros Kalogirou

Theses and Dissertations

In 1952, H. Davenport posed the problem of determining a condition on the minimum modulus $m_0$ in a finite distinct covering system that would imply that the sum of the reciprocals of the moduli in the covering system is bounded away from 1. In 1973, P.~Erd\H os and J.~Selfridge indicated that they believed that $m_0$ > 4 would suffice. We provide a proof that this is the case in Chapter 2. Chapters 3 and 4 are dedicated to showing that $0,1$-polynomials of high degree and few terms are irreducible with high probability. Formally, let $k\in\mathbb{N}$ and $F(x)=1+\sum_{i=1}^kx^{n_i}$, where $ 0


In Vivo Analysis Of Fe-S Cluster Assembly And Iron Homeostasis In Escherichia Coli, Dexter Mclaurin Reasons Jul 2025

In Vivo Analysis Of Fe-S Cluster Assembly And Iron Homeostasis In Escherichia Coli, Dexter Mclaurin Reasons

Theses and Dissertations

Iron-sulfur (Fe-S) clusters are an essential cofactor for a wide range of cellular processes, and their assembly and storage require tight regulation.

In Escherichia coli (E. coli), there are two pathways of Fe-S cluster assembly, the Isc and the Suf pathways. The Isc pathway is used under good growth conditions, and the Suf pathway is used under iron starvation and oxidative stress conditions. Once the cluster has been assembled on the scaffold protein of either pathway, it is transferred to Fe-S cluster trafficking proteins. In E. coli, the monothiol glutaredoxin GrxD and the BolA-type proteins BolA and IbaG …


Some Likelihood-Based Methods For Clustering Functional Data, Tong Shan Jul 2025

Some Likelihood-Based Methods For Clustering Functional Data, Tong Shan

Theses and Dissertations

The analysis of functional data is an increasingly relevant part of statistics. The exploratory data analytic method of cluster analysis plays a very important role in different fields. Over the years, researchers have developed many clustering approaches, striving to achieve more accurate and efficient clustering. In Chapter 1, we aim to improve the accuracy of our outcome when clustering functional data. To achieve this goal, we use a predictive likelihood function which serves as an objective function to optimize in order to determine the most appropriate clusters. To optimize the objective function over the space of clustering partitions, we produce …


On Berge Pancyclicity For Uniform Hypergraphs, Teegan Cole Bailey Jul 2025

On Berge Pancyclicity For Uniform Hypergraphs, Teegan Cole Bailey

Theses and Dissertations

An $n$-vertex graph $G$ is \textit{hamiltonian} if it contains a length $n$ cycle as a subgraph. A stronger notion of hamiltoncity is pancyclicity. A graph $G$ is \textit{pancyclic} if $G$ contains a cycle of length $k$ for every $3\leq k \leq n$. Dirac's classical result on hamiltonicity states that if an $n$-vertex graph $G$ has minimum degree $\delta(G)\geq \frac{n}{2}$, then $G$ is hamiltonian. Under the same minimum degree condition as Dirac, J. A. Bondy showed that $G$ must also be pancyclic or the exceptional graph $K_{\frac{n}{2}, \frac{n}{2}}$. In 1971, Bondy proposed a so called meta-conjecture claiming that \textit{``almost any nontrivial …


Effect Of Growth Conditions On The Performance Of Vertically Conducting Beta-Ga2o3 Diodes On 4h-Sic Substrate By Mocvd, Nifat Jahan Nipa Jul 2025

Effect Of Growth Conditions On The Performance Of Vertically Conducting Beta-Ga2o3 Diodes On 4h-Sic Substrate By Mocvd, Nifat Jahan Nipa

Theses and Dissertations

This thesis highlights the critical influence of doping strategies, specifically co-delta doping with silicon (Si) and indium (In), on improving the structural quality and device performance of β-Ga₂O₃-based Schottky barrier diodes (SBDs). To achieve better thermal management, β-Ga₂O₃ thin film was grown on bulk 4H-SiC substrates using the Metal-Organic Chemical Vapor Deposition (MOCVD) technique, renowned for its precise control over composition, thickness and doping profile. The ultra-wide bandgap (UWBG), high critical breakdown field and low turn-on resistance of β-Ga₂O₃ make it a strong candidate for next-generation power electronics and short-wavelength detection in extreme environments. However, the presence of structural defects …


Artificial Intelligence In Sport Management: A Systematic Review, Scale Development And Validation, And Implications, Kemardo Tyrell Jul 2025

Artificial Intelligence In Sport Management: A Systematic Review, Scale Development And Validation, And Implications, Kemardo Tyrell

Theses and Dissertations

The democratization of intelligent systems and their ubiquitous presence across the sport industry have created an urgent need to understand the current environment and how stakeholders perceive artificial intelligence (AI) as it reshapes decision-making, engagement, and organizational design. This three-manuscript dissertation conceptualizes artificial intelligence as a contested domain shaped by stakeholder meaning-making, consumer perception, and shifts in organizational practice. The first manuscript provides a systematic review of AI in sport management using the PRISMA framework, mapping how AI has been conceptualized as a methodological tool or contextual innovation across the sport industry segmentation (performance, production, and promotion). The second manuscript …


The Impact Of The Flipped Learning Approach On Student Engagement In A High School Chemistry Classroom, Alana Lyn Hicks Jul 2025

The Impact Of The Flipped Learning Approach On Student Engagement In A High School Chemistry Classroom, Alana Lyn Hicks

Theses and Dissertations

This mixed-methods action research study investigated the impact of the flipped classroom approach on student engagement and attitudes within a science classroom. Data was collected using student-reported responses on the Classroom Engagement Inventory, Motivated Strategies for Learning Questionnaire, student journal entries, teacher reflective journals, and an observation tracking chart kept by the classroom teacher. Findings revealed that the flipped classroom model significantly increased affective and cognitive engagement among students in a larger class size, as well as for medium-achieving students and girls. These results suggest that while the flipped classroom has the potential to enhance engagement, its effectiveness is influenced …


Explainable Process Recommendation Through Multi-Contextual Grounding Of Dynamic Multimodal Process Knowledge Graphs, Revathy Venkataramanan Jul 2025

Explainable Process Recommendation Through Multi-Contextual Grounding Of Dynamic Multimodal Process Knowledge Graphs, Revathy Venkataramanan

Theses and Dissertations

Can I eat this food or not? Is this food suitable for diabetes and why? Which AI pipeline is best suited for a given task and dataset? How should an end-to-end pipeline be constructed? These questions differ from factual question-answering tasks. Recipes and AI pipelines are processes consisting of several entities interacting with each other. A recipe consists of ingredients, cooking methods, and their interactions, while an AI pipeline includes datasets, preprocessing techniques, models, hyperparameters, tasks, and results. Each entity must be analyzed individually, and collective inferencing is performed to derive the final decision. This decision-making process, known as compositional …


The Tur Nout Effect: Challenging The Median Voter Theorem, George Thomas Rogers Jul 2025

The Tur Nout Effect: Challenging The Median Voter Theorem, George Thomas Rogers

Theses and Dissertations

The classical Median Voter Theorem (MVT) predicts that, in a two-party system with majority rule, candidates will converge toward the ideological center to capture the median voter. This logic, grounded in spatial models of political competition, assumes full voter participation and fails to account for the growing ideological polarization in modern democracies. This thesis reevaluates the MVT by incorporating probabilistic turnout into a utility-based model of voter behavior. It theorizes that turnout is shaped not only by ideological proximity but also by expressive motivations, including both strong affinity and strong aversion to candidates. A novel measure of turnout utility is …


A Spatial Scan Statistic For Group Testing Data, Vincent Onyame Jul 2025

A Spatial Scan Statistic For Group Testing Data, Vincent Onyame

Theses and Dissertations

Group testing involves pooling specimens from multiple individuals and offers an efficient means to surveil low-prevalence pathogens, but poses challenges for spatial cluster detection when only pooled results are observed. In this thesis, we develop a spatial scan statistic tailored to group-testing data with variable pool sizes. The statistic compares a null hypothesis of a homogeneous infection rate across all clusters to an alternative hypothesis that infection probabilities differ inside and outside a candidate cluster, with both models fitted by maximum likelihood estimation. We approximate the null distribution of the maximum likelihood ratio test via Monte Carlo simulation.

Through a …


Self-Efficacy And Mathematical Identities In A Rural Georgia Middle School Classroom, Gavin Wilson Jul 2025

Self-Efficacy And Mathematical Identities In A Rural Georgia Middle School Classroom, Gavin Wilson

Theses and Dissertations

Even into adulthood, some people have a strong resentment of math. Their beliefs toward their mathematical abilities have created a fear of the subject, resulting in an avoidance of anything math-related. These thoughts and beliefs regarding math and mathematical abilities begin somewhere along an individual’s academic journey in a math classroom. This action research study, using a mixed-methods approach, attempted to uncover the origins and development of self-efficacy and mathematical identities in rural eighth-grade students. Furthermore, this study explored ways that a teacher can influence these sets of beliefs and examined the impact on academic performance. The framework used to …


Multi-Task Deep Learning Approach For Segmenting And Classifying Competitive Swimming Activities Using A Single Imu, Mark Shperkin Jul 2025

Multi-Task Deep Learning Approach For Segmenting And Classifying Competitive Swimming Activities Using A Single Imu, Mark Shperkin

Theses and Dissertations

Competitive swimming performance analysis has traditionally relied on manual video review and multi-sensor systems, both of which are resource-intensive and impractical for everyday training use. This study investigates whether a single wrist-worn inertial measurement unit (IMU) can be used to automatically segment and classify swimming activities with high accuracy. We propose a multi-task deep learning pipeline based on the MTHARS (Multi-Task Human Activity Recognition and Segmentation) architecture introduced by Duan et al. to perform stroke classification, lap segmentation, stroke count estimation, and underwater kick count estimation. Data were collected from eleven collegiate-level swimmers wearing left-wrist-mounted IMUs, each performing five 100-yard …


Process-Grounded Knowledge-Infused Learning And Decision Making, Kaushik Roy Jul 2025

Process-Grounded Knowledge-Infused Learning And Decision Making, Kaushik Roy

Theses and Dissertations

This dissertation introduces process-grounded knowledge-infused learning and reasoning, a novel framework for integrating domain-expertise-based process knowledge into the learning and reasoning mechanisms of artificial intelligence systems. This approach is designed to produce controlled, transparent, and reliable predictions in critical tasks such as medical diagnosis and recommendation. By focusing on the case study of mental illness diagnosis and recommendation—where decision-making must be grounded in processes such as disorder-specific diagnostic criteria—this work demonstrates methods to embed structured decision-making directly into the system architecture during both training and inference. This integration facilitates end-to-end training and reasoning while ensuring that outputs strictly adhere to …


An Investigation Of Preservice And Novice Elementary Education Graduate Students’ Self-Efficacy Toward Teaching Engineering Design, Victoria Harkins Cameron Jul 2025

An Investigation Of Preservice And Novice Elementary Education Graduate Students’ Self-Efficacy Toward Teaching Engineering Design, Victoria Harkins Cameron

Theses and Dissertations

This mixed-methods action research study examined how an experiential learning–based pedagogical approach influenced the development of teaching engineering self-efficacy in preservice and novice elementary education graduate students. Grounded in Bandura’s self-efficacy theory and Kolb’s experiential learning cycle, the study examined the impact of mastery experiences, vicarious experiences, verbal persuasion, and affective states on shaping participants’ instructional self-efficacy. Data were collected using the Teaching Engineering Self-Efficacy Scale (TESS), written reflections, and a focus group. Engineering pedagogical content knowledge was the only TESS construct to show statistically significant gains, while qualitative findings indicated broader growth in self-efficacy and emotional readiness. The study’s …


Circannual And Kinship Cues Shape Reproduction And Epigenetic Aging In Peromyscus, Kim Tuyen Huynh Dam Jul 2025

Circannual And Kinship Cues Shape Reproduction And Epigenetic Aging In Peromyscus, Kim Tuyen Huynh Dam

Theses and Dissertations

Evolutionary success is defined by the ability of a species to adapt and survive across many generations. This success is not determined by any single attribute but rather includes the entrenched, complex system that could be associated with biological rhythms, reproductive strategies, and regulations of epigenetic and genetic components. By using closed Peromyscus colonies as a model and by coupling mathematical modeling, analyses of breeding records, epigenetic studies, and in vitro and in vivo experiments, this dissertation aims to discover how Peromyscus adjusts to the internal and external pressures to ensure their survival and preserve evolutionary fitness in controlled environments. …


Satellite Radar Imagery Analysis For Ground Hazard Risk Monitoring In Railway Tracks And Slopes, Sumanth Varma Byrraju Jul 2025

Satellite Radar Imagery Analysis For Ground Hazard Risk Monitoring In Railway Tracks And Slopes, Sumanth Varma Byrraju

Theses and Dissertations

Railway transportation is essential to national economies globally, and disruptions from geohazards can result in significant operational delays and considerable economic consequences. Satellite radar technologies, including Interferometric Synthetic Aperture Radar (InSAR), offer an effective means to monitor geohazard risks across extensive railway networks. This thesis employs Multi-Temporal InSAR (MTInSAR) techniques, including Persistent Scatterer InSAR (PSInSAR) and Small Baseline Subset (SBAS), to identify high-risk areas along railway rights of way (ROW) prior to geohazard occurrences. However, the efficiency of these MT-InSAR and, consequently, the caliber of the data generated may be restricted by elements like topographical profile, vegetation, and surface soil …


Action Research To Explore The Use Of Augmented Reality To Support High School Students In Understanding And Creating Art Work In A Drawing Course, Alicia Joanne Cobler Jul 2025

Action Research To Explore The Use Of Augmented Reality To Support High School Students In Understanding And Creating Art Work In A Drawing Course, Alicia Joanne Cobler

Theses and Dissertations

High school students in Drawing 1 at a high school in South Carolina struggle to understand meaning or make personal connections to their own artwork. The purpose of this action research was to evaluate the implementation of immersive reality technology, specifically augmented reality (AR), in art for high school Drawing 1 students to help them understand meaning in art and create their own meaningful artwork. Creating personally meaningful symbolic works of art is one of the first Visual Art National Core Standards (National Core Visual Art Standards, 2014). Creating meaning in artwork allows students to understand society, provide an opportunity …


Development Of Teacher Leader Identities In Stem Teacher Leader Programs: Key Experiences From The Perspectives Of Program Developers And Program Completers, Paula Adams Jul 2025

Development Of Teacher Leader Identities In Stem Teacher Leader Programs: Key Experiences From The Perspectives Of Program Developers And Program Completers, Paula Adams

Theses and Dissertations

The purpose of this qualitative case study was to add to the understanding of attributes of a STEM teacher leader project that contribute to the growth of STEM teacher leader identity. Single case study design was employed to explore key experiences in a collaborative Science Technology Engineering and Math teacher leader project and to explore how those experiences enhanced the teacher leader identity of participants. This research includes seven programs from six universities across the United States. The perceptions of two subunits, program developers and program completers, were considered. Data collection began with a document review which included initial university …


Regression With Atypical Data: Measurement Error, Periodicity, And Non-Normality, Nicholas W. Woolsey Jul 2025

Regression With Atypical Data: Measurement Error, Periodicity, And Non-Normality, Nicholas W. Woolsey

Theses and Dissertations

Regression is a ubiquitous and fundamental method that can be found in any ele- mentary statistics course. The simplicity and self evidently useful nature of linear regression beguiles a non-negligible portion of researchers into disrespecting assump- tions required by these models, namely in terms of accuracy of covariates and the underlying nature of the data. This disregard can at best lead to meaningless results and at worse cause significant misunderstandings in scientific pursuit.

In this dissertation we strive propose remedies to violations of specific assump- tions. Namely the assumptions that covariates are either observed without measure- ment error or they …


Rapid Charging Lithium-Ion Batteries: Structure, Morphology, And Methodology, Sean Cade Wechsler Jul 2025

Rapid Charging Lithium-Ion Batteries: Structure, Morphology, And Methodology, Sean Cade Wechsler

Theses and Dissertations

The initial commercialization and subsequent development of the lithium-ion battery (LIB) in 1991 has revolutionized the way that humans power devices, cars, and homes and led to the advent of many technologies that seemed impossible just half a century ago. As LIBs are integrated into more of daily life through handheld devices, wearable medical devices, transportation, and grid-level energy storage, the demand for fast charging and high energy density increases rapidly. To design a battery with these favorable qualities, an understanding of the effect of electrode crystal structure and electrode morphology on the ionic/electronic transport and failure modes must be …


Quantifying Biomass Burning Impacts On Soil Nox Emissions And Reactive Nitrogen Cycling, Olivia Rae Steinbeck Jul 2025

Quantifying Biomass Burning Impacts On Soil Nox Emissions And Reactive Nitrogen Cycling, Olivia Rae Steinbeck

Theses and Dissertations

Nitrogen oxides (NOx = NO + NO₂) are trace gases that play a critical role in the atmosphere by influencing air quality, oxidation chemistry, and the deposition of fixed nitrogen. Historically, NOx emissions have been primarily linked to anthropogenic sources such as fossil fuel combustion, industrial activities, and agriculture. However, as successful legislation has significantly reduced these emissions, the relative importance of natural NOx sources has become an increasing concern. Soil NOx emissions are of particular interest due to their strong temperature dependence and their connection to global climate change. Rising global temperatures are expected to accelerate soil NOx emissions …


Autoregressive Modeling Of Dna Molecule Shapes Accompanied By An Empirical Assessment Of The Ljung-Box Test, David William Custer Jul 2025

Autoregressive Modeling Of Dna Molecule Shapes Accompanied By An Empirical Assessment Of The Ljung-Box Test, David William Custer

Theses and Dissertations

The assumption of independence rarely holds in real-world data. Correlated observations are ubiquitous, especially in sequential contexts where time series models are essential for capturing temporal dependence. This study analyzed six groups of damaged and undamaged DNA sequences, where an "F" in the middle of a sequence indicates damage. One biological aim is to understand how DNA regenerates with the assistance of proteins that recognize damaged regions. Motivated by empirical support for AR(2) modeling, we fit autoregressive models to the first three principal component scores of each DNA group, capturing the dominant structure in the data. We conducted model diagnostics, …


Essential Characteristics And Perceived Needs Of Teachers And School Leaders Of Steam-Focused Elementary Schools: An Exploratory Study, Christopher Abbaleo Jul 2025

Essential Characteristics And Perceived Needs Of Teachers And School Leaders Of Steam-Focused Elementary Schools: An Exploratory Study, Christopher Abbaleo

Theses and Dissertations

While STEAM (science, technology, engineering, arts, and mathematics) education has traditionally been emphasized at the high school level, there is growing recognition of its importance in elementary education. This exploratory, action research multiple-case study identified the essential characteristics of two STEAM-focused elementary schools and how they are operationalized as well as the perceived needs of teachers and school leaders working within the schools. Within-case analyses and a cross-case synthesis revealed both common and distinct STEAM-focused curricular approaches, along with other commonalities such as enriching co-curricular offerings, connections to STEAM careers, professional development, teacher collaboration, visionary leadership, and networking with external …


Characterizing The Relationships Between Cranial Geometry, Brain Morphometry, And Brain Mechanical Properties Using Mr Imaging And Elastography, Jessica Restivo Jul 2025

Characterizing The Relationships Between Cranial Geometry, Brain Morphometry, And Brain Mechanical Properties Using Mr Imaging And Elastography, Jessica Restivo

Theses and Dissertations

Traumatic brain injury (TBI) is a global health concern, with over 69 million cases annually. TBI risk depends on subject-specific neuroanatomical variation, yet research often only considers generic finite element (FE) models, based on the geometry and material composition of a 50th percentile male head. Although highly accurate, subject-specific models require expensive magnetic resonance (MR) imaging, elastography, and time-consuming computational resources. There is a need to create subject-specific TBI models that account for subject-specific variations, without neuroimaging. This study aims to create mathematical models to predict brain morphometry (dimensions, volume) [Objective 1] and mechanical properties (shear stiffness, damping ratio, octahedral …


Elevating Next Generation Wireless Devices Towards Contactless Sensing For Healthcare Applications, Aakriti Adhikari Jul 2025

Elevating Next Generation Wireless Devices Towards Contactless Sensing For Healthcare Applications, Aakriti Adhikari

Theses and Dissertations

There is an increasing interest in technologies that can understand and perceive at-home human activities to provide personalized healthcare monitoring, aimed at early detection of disease markers and assisting physicians in making clinical decisions. Existing approaches, such as wearables, require users to wear sensors that can be cumbersome and cause discomfort. Vision based solutions, such as optical cameras, IRs, LiDARs, etc., can be used to design contactless at-home monitoring systems. However, these systems are limited by poor lighting and occlusion, and they are privacy-invasive. Fortunately, high-frequency millimeter-wave wireless devices provide an effective alternative to the existing systems to enable fine-grained …


The Role Of Symmetries In Atomic, Electromagnetic, And Particle Physics, Joshua Martin O'Connor Jul 2025

The Role Of Symmetries In Atomic, Electromagnetic, And Particle Physics, Joshua Martin O'Connor

Theses and Dissertations

Symmetries in atomic, electromagnetic, and weak interaction physics are explored to understand symmetry-breaking extensions of the Standard Model of particle physics. Lorentz-violating field theories are extremely interesting theoretically, since they possess many new features that are absent in Lorentz-invariant models. We outline the formalism and experimental status of the Lorentz- and CPT-violating Standard Model Extension, in both the classical and quantum regimes. Processes such as vacuum Cerenkov radiation, which are kinematically forbidden when Lorentz symmetry is exact may become allowed when this symmetry is weakly broken. Particle decays, such as pion and kaon decays, although allowed in Lorentz-invariant theories, are …