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Patient-Level Breast Cancer Classification From Multi-View Mammography With Side-Specific Evidence For Interpretability, Bushra Intakhab
Patient-Level Breast Cancer Classification From Multi-View Mammography With Side-Specific Evidence For Interpretability, Bushra Intakhab
Electronic Theses and Dissertations 2020 - Present
Breast cancer remains one of the leading causes of cancer-related death among women. Early detection through screening mammography is therefore very important. However, mammogram interpretation can be difficult because abnormalities may be subtle and spread across different views. The increasing workload of radiologists can also affect timely analysis. Artificial intelligence (AI) has been widely explored to support mammography interpretation by improving speed and consistency. However, many existing AI methods focus on patch-level or image-level analysis rather than the full patient exam. This limits their ability to capture the complete clinical picture, since important information is distributed across multiple views. In …
Spot Scanning Proton Beams Characterization Via Plastic Scintillator Detector, Saad Bin Saeed Ahmed
Spot Scanning Proton Beams Characterization Via Plastic Scintillator Detector, Saad Bin Saeed Ahmed
Electronic Theses and Dissertations 2020 - Present
In spot scanning proton therapy, the machine steers magnetically a narrow pencil beam across the target volume, delivering highly conformal dose distributions layer by layer. As beam size is very small, this introduces a dosimetry problem. The beam is dynamic and the dose gradients are steep — conditions that push conventional ionization chambers beyond their reliable operating range. Plastic scintillation detectors offer a potential solution. Their sub-millimeter active volumes avoid the volume-averaging effects over larger chambers, and their very high temporal resolution making real-time monitoring feasible. This thesis characterizes the Blue Physics plastic scintillation detector in spot scanning proton fields …
Development And Flight Of Stratospheric Missions For Hard X-Ray Polarimetry And Hard X-Ray Spectroscopy, Ephraim Gau
Development And Flight Of Stratospheric Missions For Hard X-Ray Polarimetry And Hard X-Ray Spectroscopy, Ephraim Gau
Arts & Sciences Graduate Student Theses and Dissertations
The recent launches of the {\it Imaging X-ray Polarimetry Explorer} ({\it IXPE}\,) and {\it XRISM} have provided significant advances to the realms of polarization and high-resolution spectroscopy in X-ray astrophysics. However, both of these satellite missions conduct measurements in the soft X-rays, below 10 keV. To obtain a complete picture of any astrophysical source, we must extend these capabilities to the hard X-rays, above 10 keV, as well. Thus, in my graduate work, I have directed my efforts in these two regimes: measuring the polarization of hard X-rays with {\it XL-Calibur}, and improving the energy resolution of hard X-ray telescopes …
Techno-Enviro-Economic Analysis Of Precipitated Calcium Carbonate Production From Carbon Dioxide In Cement Industry Flue Gas And Calcium Hydroxide, Natalia Debora Panggabean, Widodo Wahyu Purwanto
Techno-Enviro-Economic Analysis Of Precipitated Calcium Carbonate Production From Carbon Dioxide In Cement Industry Flue Gas And Calcium Hydroxide, Natalia Debora Panggabean, Widodo Wahyu Purwanto
Journal of Materials Exploration and Findings
CCUS is a technological solution to reduce emissions from the cement industry, which is the second largest CO2-intensive industry. This study aims to analyze technical, economic, and environmental performance of Precipitated Calcium Carbonate (PCC) synthesis in cement industry flue gas. The process simulation includes the CO2 capture system from cement plant, CO2 captured used as feedstock for PCC synthesis process through its reaction with calcium hydroxide. The simulation was carried out using ASPEN Plus software. Technical analysis was performed to determine the CO2 capture efficiency and PCC synthesis efficiency. Economic analysis was conducted to calculate CO2 capture cost and production …
Feasibility Analysis Of Thermal Oxidizer To Determine Remaining Life Using Fitness- For-Service Level 3 Method, Yudhi Yudistirawan, Donanta Dhaneswara, Wahyuaji Narottama Putra, Gama Widyaputra, Dewi Kurnia Suci, Agung Putra Mahardhika
Feasibility Analysis Of Thermal Oxidizer To Determine Remaining Life Using Fitness- For-Service Level 3 Method, Yudhi Yudistirawan, Donanta Dhaneswara, Wahyuaji Narottama Putra, Gama Widyaputra, Dewi Kurnia Suci, Agung Putra Mahardhika
Journal of Materials Exploration and Findings
An aged thermal oxidizer (TOX) in the oil and gas industry necessitates a comprehensive evaluation to ensure its continued safe operation. This study presents a Remaining Life Assessment (RLA) and a Fitness for Service (FFS) evaluation for the four main components of the TOX, in accordance with API 510, API 579/ASME FFS-1, and ASME BPVC Section VIII Div-1 standards. The investigation includes the determination of maximum stress and maximum temperature required to assess the operational viability of the reactor. The four components are radiant, convection, transition, and stack sections—were modeled using the finite element method (FEM). Following the geometric modeling, …
Assessing Passenger Electric Vehicle Growth Strategies And Their Impacts On Electricity Demand Load And Co2 Emissions In Aceh Province To Achieve Net Zero Emission Target By 2060, Taufik Hidayat, Widodo Wahyu Purwanto
Assessing Passenger Electric Vehicle Growth Strategies And Their Impacts On Electricity Demand Load And Co2 Emissions In Aceh Province To Achieve Net Zero Emission Target By 2060, Taufik Hidayat, Widodo Wahyu Purwanto
Journal of Materials Exploration and Findings
The electrification of the transport sector is a crucial pathway for achieving Indonesia’s Net Zero Emissions (NZE) target by 2060. This study assesses the potential impact of passenger electric vehicle (EV) penetration on electricity demand and CO2 emissions in Aceh Province through a scenario-based modelling approach. Two policy-aligned scenarios are assessed: a low-penetration (LP) scenario and a high-penetration (HP) scenario. Using the Gompertz model and the ASIF framework, total CO2 emissions were projected from 2020 to 2060. Results show that although higher EV penetration reduces direct emissions from internal combustion engine (ICE) vehicles, total CO2 emissions increase more significantly under …
Bremsstrahlung Photons Emissions Measured At Different Rf Power In 28 Ghz Ecr Ion Source, Mwingereza John Kumwenda
Bremsstrahlung Photons Emissions Measured At Different Rf Power In 28 Ghz Ecr Ion Source, Mwingereza John Kumwenda
Tanzania Journal of Engineering and Technology (TJET)
High-performance electron cyclotron resonance ion sources (ECRISs) generate large amounts of bremsstrahlung photons that affect the cryogenic systems due to the extra heat load that is produced. Thus, this study investigates the bremsstrahlung photons energy spectra at various RF powers, presenting some insight about the trends of the electron heating process inside the plasma. Bremsstrahlung photons from a 28 GHz ECRIS were measured at Busan center of Korean Basic Science Institute (KBSI). The gamma-ray detection system consists of three round-type NaI(Tl) scintillation detectors placed 620 mm radially from the beam axis at the extraction side of the ECRIS, and a …
Correcting Faraday Cup Measurements Using Rutherford Backscattering, Spencer Hughes, A. Bunnell, J. Kim
Correcting Faraday Cup Measurements Using Rutherford Backscattering, Spencer Hughes, A. Bunnell, J. Kim
25th Annual A. Paul and Carol C. Schaap Celebration of Undergraduate Research and Creative Activity (2026)
Faraday cup is a conductive cup that measures the current of an incident beam of charged particles. Faraday cups are frequently used in particle accelerator-based studies where the beam intensity must be measured. A previous study determined the systematic error in Faraday cup measurements for a 3.4 MeV proton beam using Rutherford scattering at large angles. Our study builds upon this previous work to include six different beam energies ranging from 3.0 MeV to 0.6 MeV and two different incident masses (H and He). A silicon surface barrier detector measured the energy of back-scattered ions from a copper target. The …
Eigenmode Decomposition Analysis Of Resistive Magnetic Reconnection, Isaac Q. Evans
Eigenmode Decomposition Analysis Of Resistive Magnetic Reconnection, Isaac Q. Evans
25th Annual A. Paul and Carol C. Schaap Celebration of Undergraduate Research and Creative Activity (2026)
Recent work demonstrates that specific aspects of nonlinear magnetic reconnection in a collisionless regime are directly attributable to linearly damped eigenmodes. In this work, we apply similar eigenmode analysis tools to characterize nonlinear magnetic reconnection driven by resistivity. In contrast to the collisionless case which contains a single unstable/stable eigenmode pair, the resistive case contains an unstable eigenmode and a wide spectrum of stable modes. Calculating eigenmode amplitudes allows for a determination of the significance of each eigenmode in the nonlinearly-evolved resistive reconnection. Linearly stable modes are found to be important in determining properties of nonlinear systems. We discuss how …
Quantum Simulation And Nanoscale Sensing Of Many-Body Phenomena With Solid-State Spin Defects, Guanghui He
Quantum Simulation And Nanoscale Sensing Of Many-Body Phenomena With Solid-State Spin Defects, Guanghui He
Arts & Sciences Graduate Student Theses and Dissertations
Emergent phenomena in interacting quantum systems arise from collective behavior that cannot be reduced to single-particle physics. Understanding these phenomena requires platforms capable of both synthesizing many-body states under controlled conditions and probing them at the microscopic scale where correlations originate. Solid-state spin defects, including nitrogen-vacancy (NV) centers in diamond and negatively charged boron vacancy centers in hexagonal boron nitride (hBN), offer precisely this dual capability. In the first part of this dissertation, a strongly interacting NV ensemble is subjected to periodic and quasi-periodic drives to access a long-lived prethermal regime and realize a discrete time quasicrystal (DTQC). In the …
The Effects Of Solvent Vapor Annealing On Organic Semiconductor Materials, Nicholas Cox
The Effects Of Solvent Vapor Annealing On Organic Semiconductor Materials, Nicholas Cox
Honors Theses
No abstract provided.
Quantum Scattering Of Hc5n And Para-H2 On A New Potential Energy Surface, Shan Gao, François Lique, Ernesto Quintas-Sánchez, Richard Dawes, Jérôme Loreau
Quantum Scattering Of Hc5n And Para-H2 On A New Potential Energy Surface, Shan Gao, François Lique, Ernesto Quintas-Sánchez, Richard Dawes, Jérôme Loreau
Chemistry Faculty Research & Creative Works
In the interstellar medium (ISM), non-local thermodynamic equilibrium situations are common due to low density, and one needs to consider the effect of molecular collisions in order to interpret the observations. Among the species detected in the ISM, cyanopolyynes, with the general molecular formula HC2n+1N (n = 1, 2, …), are characterized by large dipole moments and small rotational constants and constitute an indispensable class of candidates for the sensitive tracers of local density and temperature. We present a study of the collisional (de-) excitation of HC5N by para-H2 (p-H2) in its ground …
The Efficacy Of Manganese Sulfate As A Negative Contrast Agent For Magnetic Resonance Cholangiopancreatography, Zainab Abdulla Mankhi
The Efficacy Of Manganese Sulfate As A Negative Contrast Agent For Magnetic Resonance Cholangiopancreatography, Zainab Abdulla Mankhi
Karbala International Journal of Modern Science
The current study aims to find an alternate oral contrast media for use in magnetic resonance cholangiopancreatography (MRCP) that satisfies the following criteria, the greatest imaging quality safety, no or few side effects, and low cost. The present study created an oral contrast agent sample (solution) by dissolving a one tablet of manganese sulfate supplement (taken daily dose) in 200 ml of distilled water. Thirty-three volunteers assessed the sample using MRCP examine pre and post contrast. By evaluating the signal intensity to compute contrast (C), signal to noise ratios (SNR), and contrast to noise ratio (CNR), the resulting MR images …
Fourier Analysis Of Electronic Synthesizer Waveforms, Jiayan Ling, Jack W. Maseberg
Fourier Analysis Of Electronic Synthesizer Waveforms, Jiayan Ling, Jack W. Maseberg
SACAD: Scholarly Activities
We compute Fourier series coefficients for some standard electronic synthesizer waveforms and provide plots of our results.
Design Of Virtual Impedance Controller For Parallel-Connected Converters In A Microgrid, Manyanda Makoye, Francis Mwasilu, Peter M. Makolo, Jackson Justo
Design Of Virtual Impedance Controller For Parallel-Connected Converters In A Microgrid, Manyanda Makoye, Francis Mwasilu, Peter M. Makolo, Jackson Justo
Tanzania Journal of Science
This paper addresses the significant challenge of inaccurate power sharing among Distributed Generators (DGs) in islanded microgrids, which is primarily caused by mismatched feeder and line impedances. Conventional decentralized control solutions often fail to ensure accurate power sharing, especially when line impedances are resistive. To overcome this, the paper proposes a robust, coordinated Virtual Impedance Control (VIC) strategy for DGs. This method implements fixed virtual resistance and virtual inductance to standardize the output impedance characteristics of parallel-connected inverters, thereby minimizing impedance discrepancies and enhancing system stability through increased damping. The theoretical analysis and design of the VIC were validated through …
Measuring Cosmic Rays With Muon Detectors (Quarknet), Jack W. Maseberg
Measuring Cosmic Rays With Muon Detectors (Quarknet), Jack W. Maseberg
SACAD: Scholarly Activities
We report measurements of atmospheric muon particles originating from cosmic rays. Using four QuarkNet project scintillators in a stacked geometry, we recorded muons in coincidence with each other. We observed a change in the muon flux due to a solar Coronal Mass Ejection (CME) event on Jan 19, 2026.
Two-Dimensional Inverse Scattering Solution Using Nurbs Expansion And A Deep Learning Method, Meisam Shafaee
Two-Dimensional Inverse Scattering Solution Using Nurbs Expansion And A Deep Learning Method, Meisam Shafaee
Turkish Journal of Physics
This paper presents a novel framework for solving two-dimensional (2D) inverse scattering problems by integrating nonuniform rational B-spline (NURBS) parameterization with convolutional neural networks (CNNs). Tra ditional pixel/voxel-based deep learning methods often suffer from high dimensionality and discretization artifacts, while purely geometric approaches lack robust inversion mechanisms. To address these limitations, we propose a hybrid frame work where the relative permittivity profile of an unknown scatterer is compactly represented as a NURBS surface, parameterized by a sparse set of control points and weights. This approach reduces the problem dimensionality over 16 times. On the other hand, using NURBS expansion ensures …
From Stability To Spintronics: A Comprehensive High-Throughput Investigation Of 2d Mf4 Lieb Lattices, Uğur Yorulmaz
From Stability To Spintronics: A Comprehensive High-Throughput Investigation Of 2d Mf4 Lieb Lattices, Uğur Yorulmaz
Turkish Journal of Physics
The research on two-dimensional (2D) materials which have intrinsic magnetism and exotic electronic struc tures is an important quest in condensed matter physics. The Lieb lattice offers a unique platform for studying strongly correlated electron phenomena. In this work, we systematically investigated the structural, dynamical, mechanical, electronic, and magnetic properties of monolayer transition metal tetrafluorides (MF4, where M = Ag, Cd, Cr, Cu, Fe, Hf, Mn, Mo, Nb, Ni, Pd, Pt, Rh, Ru, Sc, Ta, Ti, V, W, and Y) arranged in a 2D Lieb lattice, using first-principles calculations based on density functional theory (DFT) with Hubbard (U) corrections. Our …
Analytical Solution Of The Green’S Functions For The Poisson Problem Outside A Disk, Mohammad Khorrami
Analytical Solution Of The Green’S Functions For The Poisson Problem Outside A Disk, Mohammad Khorrami
Turkish Journal of Physics
The Poisson problem in the space outside of a disk is investigated. Specifically, the Green’s function corresponding to the problem is calculated. The Green’s function equation is separable in terms of (oblate) ellipsoidal coordinates. Therefore, these coordinates are used to obtain a series expression for the Green’s function. This is done for both the Dirichlet and Neumann problems. The result is used to calculate the electric potential for some examples, with specific boundary conditions on a disk.
Long-Term Measurements Of Global Solar Radiation In Osmaniye, Türkiye (2014–2023), Muhi̇tti̇n Şahan, Hali̇de Şahan, Ramazan Kaya
Long-Term Measurements Of Global Solar Radiation In Osmaniye, Türkiye (2014–2023), Muhi̇tti̇n Şahan, Hali̇de Şahan, Ramazan Kaya
Turkish Journal of Physics
This paper presents the horizontal solar radiation data for Osmaniye (37◦04′N, 36◦22′E), located in Mediterranean region of Türkiye, over the period 2014–2023. Solar radiation variability, recorded at 1-min intervals, was evaluated in terms of hourly, daily, monthly, seasonal, and annual averages. Over the 10-year periods, the mean daily total and daily average global radiations received on a horizontal surface were 1,360,000 W/m2 and 371.47 W/m2, respectively. The monthly averaged daily global radiation (averaged over the 10-year period) ranged from 202.94 W/m2 in December to 496.86 W/m2 in July. The seasonal average values of solar radiations were 452.14 W/m2 in summer, …
Diffeomorphisms In Quantum Black Hole Interiors, Ian William Bornhoeft
Diffeomorphisms In Quantum Black Hole Interiors, Ian William Bornhoeft
Electronic Theses and Dissertations 2020 - Present
We begin with an introduction to canonical Loop Quantum Gravity. We then introduce a notion of residual diffeomorphism covariance in quantum Kantowski–Sachs (KS), describing the interior of a Schwarzschild black hole. We solve for the family of Hamiltonian constraint operators satisfying an associated covariance condition, as well as parity invariance, preservation of the Bohr Hilbert space of Loop Quantum KS and a correct (naive) classical limit. We further explore imposing minimality of the number of momentum shift terms, and compare the solution with other Hamiltonian constraints proposed for Loop Quantum KS in the literature. In particular, we discuss a lapse …
Computational Approaches To Laser Alignment And Phase Correction, Joseph E. Temple
Computational Approaches To Laser Alignment And Phase Correction, Joseph E. Temple
ATU Scholars Symposium
The goal of our work is to automate the tedious and delicate process of optical alignment (rotating mirrors, shifting lenses by millimeters, and iterating endlessly) in the context of generating vortex beams from a Gaussian laser beam. We create vortex beams by illuminating a digital hologram displayed on a spatial light modulator (SLM). Two main issues arise: misalignment and phase imperfections in the input beam. If the beam does not pass directly through the center of the SLM, or if it deviates from an ideal Gaussian profile, the resulting vortex beam becomes distorted.
Last semester, we developed two methods to …
Creating A Floating Volumetric Display, Joy Skaggs, Hope Skinner
Creating A Floating Volumetric Display, Joy Skaggs, Hope Skinner
ATU Scholars Symposium
The public has long been interested in futuristic technology, especially ‘holograms’ and their possibilities, evidenced by pop culture icons such as Iron Man and the popularity of the Sci-Fi Genre. The popular term ‘hologram’ actually describes the phenomenon of a volumetric display, where light is directed to form 3D forms in the air. Attempts to create these volumetric displays began as early as 1988 with creators like Gregg Favelora and Alan Sullivan. As technology improved, so too did the ability to make the futuristic ‘hologram’ a reality.
Another common form of these interactive holograms is the floating display, which may …
Physics-Informed Neural Network Solution Of The 2d Helmholtz Equation With A Gaussian Source, Theodoros Panagiotakopoulos, Chris Velissaris, Aristotelis Nikolaos Rapsomanikis
Physics-Informed Neural Network Solution Of The 2d Helmholtz Equation With A Gaussian Source, Theodoros Panagiotakopoulos, Chris Velissaris, Aristotelis Nikolaos Rapsomanikis
Faculty Scholarship and Creative Works
We present a physics-informed neural network (PINN) framework for solving the complex-valued two-dimensional Helmholtz equation with a localized Gaussian source and spatially varying permittivity. Starting from Maxwell’s equations, the frequency-domain scalar Helmholtz formulation under transverse electric (TE) polarization is derived and enforced directly within the neural network loss function. The model employs a sinusoidal representation network (SIREN) architecture to capture the oscillatory nature of wave solutions and incorporates the Sommerfeld radiation condition to impose open boundary conditions. Training is performed using a hybrid collocation strategy combined with a two-stage optimization procedure consisting of Adam followed by L-BFGS. Numerical experiments in …
Comparison Of Anomaly Detection Methods On Event-Based Vision Sensor Data In A High Noise Environment, Will Johnston, Anthony L. Franz, Shannon R. Young, Rachel Oliver, Zachary Theis, Brian Mcreynolds, Michael L. Dexter
Comparison Of Anomaly Detection Methods On Event-Based Vision Sensor Data In A High Noise Environment, Will Johnston, Anthony L. Franz, Shannon R. Young, Rachel Oliver, Zachary Theis, Brian Mcreynolds, Michael L. Dexter
Faculty Publications
Event-based vision sensors (EVSs) provide unique frequency analysis opportunities due to their event data output and high temporal resolution. Anomaly detection methods used in hyperspectral analysis can be used on the event frequency spectra to detect targets. However, the introduction of a strong, flickering interfering source can reduce the EVS sensitivity and obscure targets of interest. Previous work presented a method showing that targets could still be detected through an overwhelming source using frequency analysis, background suppression, and statistical filtering. This paper extends that research and compares the ability of five different eigenanalysis anomaly detection methods (principal component background suppression …
Optimizing Controller Speed And Torque To Reduce Drivetrain Stress, Selene J. Welch
Optimizing Controller Speed And Torque To Reduce Drivetrain Stress, Selene J. Welch
SACAD: Scholarly Activities
This project investigates how torque delivery from the motor controller affects mechanical stress on the rear freewheel ratchet mechanism of a three-wheel electric race car. Excessive initial torque has caused accelerated wear and tear on the ratchet mechanism, reducing drivetrain reliability during Kansas ElectroRally competitions. Preliminary testing showed that slower, gradual acceleration prevented malfunction and allowed the vehicle to maintain top speed reliably. Prior research shows that torque-control strategies strongly influence electric-drive performance. Current research focuses on optimizing the controller’s torque and speed using the Alltrax Software ToolKit to reduce drivetrain tension while preserving the car’s performance capabilities.
Analysis Of The Effects Of Magnetic Field, Heat Transfer, And Thermal Radiation On Blood Flow Through Bifurcated Artery To Enhance Tumor Treatments, Abdullahi Isah, Dauda Gulibur Yakubu, Ali Musa
Analysis Of The Effects Of Magnetic Field, Heat Transfer, And Thermal Radiation On Blood Flow Through Bifurcated Artery To Enhance Tumor Treatments, Abdullahi Isah, Dauda Gulibur Yakubu, Ali Musa
Tanzania Journal of Science
The work presents the effects of some pertinent parameters on blood flow through bifurcated artery to enhance tumor treatments. Combining appropriately the basic equations, together with the fractionalized Maxwell fluid model allow us to determine the velocity, temperature and concentration of blood flow through bifurcated artery. The study adopted the Atangana-Baleanu fractional time derivative on fluid model to describe the non-Newtonian behavior of blood flow. The numerical simulations were performed using the combined Laplace transform and the method of undetermined coefficients and the results obtained with the aid of Mathcad software were simulated and presented graphically. From the graphical results, …
Multiple-Valued Quantum Automata For Robotics, Yuchen Huang
Multiple-Valued Quantum Automata For Robotics, Yuchen Huang
Dissertations and Theses
This dissertation introduces a new type of quantum automata, their encoding and circuit realization. I concentrate on possible applications in robotics. Several methods and application of quantum automata and quantum circuit-based controllers for elementary robotic systems, with a focus on humanoid robot motion, emotion, and behavior generation are illustrated in detail. The research introduces several novel methodologies that bridge quantum computing principles with robotic control, aiming to overcome the limitations of classical deterministic and probabilistic approaches.
The dissertation first presents a quantum-circuit-based framework for generating non-repetitive and expressive (e)motions in a humanoid robot actor, using superposition and entanglement to produce …
Towards Physics-Informed Neural Networks For Simulating Multiphase Geothermal Convection*, Daniel C. Patton, Andrew Harrison Eno
Towards Physics-Informed Neural Networks For Simulating Multiphase Geothermal Convection*, Daniel C. Patton, Andrew Harrison Eno
Campus Research Month
Water and steam flow through porous rock, transferring heat via conduction and buoyancy-driven convection caused by density differences. Traditional numerical methods (finite-volume/finite-element) model this well but can become memory-intensive and unstable for long, high-detail simulations. This work demonstrates a Physics-Informed Neural Network (PINN) using a finite-difference approach within the NVIDIA PhysicsNeMo framework to simulate magma chambers in 2D. Tested on the Rio Pisco pluton in Peru, results are compared with the USGS HYDROTHERM model. PINNs learn from physical laws, offering accurate, flexible solutions with less data and development effort.
Revisiting Quantum Foundations: Deriving The Klein-Gordon-Fock Equation Without Axiomatic Postulates*, Joshua Lohr, Vola Andrianarijaona, Anton A. Lipovka
Revisiting Quantum Foundations: Deriving The Klein-Gordon-Fock Equation Without Axiomatic Postulates*, Joshua Lohr, Vola Andrianarijaona, Anton A. Lipovka
Campus Research Month
This paper presents a derivation of the Klein-Gordon-Fock equation from first principles. The proposed method eliminates the need to axiomatically postulate wave functions or equation coefficients. Instead, the derivation is performed on an adiabatically variable manifold, locally described by the Friedman-Robertson-Walker metric, incorporating complete electrodynamics. In this framework, the transverse electromagnetic field quantizes due to adiabatic changes in the metric tensor, with Planck's constant serving as its adiabatic invariant. Consequently, wave functions naturally emerge as eigenfunctions of a Sturm-Liouville problem used to expand the electromagnetic field.