You are currently searching within Foundations
|
The Causal Quantum Spacetime Theory (CQST) treats spacetime as emergent from a discrete causal substrate, the quantum spacetime regenerating (QSR) lattice, assembling its geometric, holographic, quantum-foundational and phenomenological strands. The...
Mobi spaces provide an algebraic abstraction of interpolation between points. In this paper we investigate their relation with geodesic structures. We present a construction of mobi spaces from a parametrized map, formulate conditions under which the...
Decomposition integrals on finite spaces have a natural linear programming representation, but their evaluation may require exponentially many variables indexed by subsets of the underlying space. Restricting the admissible sets or collections produc...
Foodborne bacterial infections remain an important public health concern, creating a need for effective antimicrobial materials produced through safer and more sustainable methods. Silver nanoparticles (AgNPs) are promising candidates because of thei...
Synchronization in networks of conductance-based neurons depends on the external stimulus, coupling architecture, coupling strength, and initial state of the constituent cells. In this work, we numerically investigate a finite all-to-all network of i...
This paper presents a hybrid search algorithm for Zermelo’s navigation problem in complex vector fields. The method combines local analytical navigation with A*-based graph search to compute high-quality trajectories in scenarios with multiple...
This paper examines how different physical modelling frameworks represent structural change and asks when the organisation through which physical interactions occur should itself form part of the model state. The literature spans classical continuum...
The classical mass–spring–damper and inductor–capacitor–resistor analogy is extended from constant to state-dependent parameters and connected to an experimentally realized coupled Metglas AMCC-1000 resonant magnetic system. T...
We study a three-firm market following the breakdown of an initially complete cartel, taking both the breakdown and the identity of the departing firm as exogenously given. In the baseline model, the former cartel members no longer coordinate: all th...
We study the extremal behavior of real two-term linear combinations of third-order Zernike modes on the closed unit disk
Introductory and intermediate electrical-engineering education commonly models fundamental circuit and device parameters, including inductance, capacitance, resistance, permeability, permittivity, conductivity, characteristic impedance, transformer t...
Antimicrobial nanomaterials have attracted increasing attention as potential alternatives for controlling pathogenic microorganisms. In this study, pure ZnO and Ag-modified ZnO nanoparticles prepared using nominal Ag contents of 1 and 5 wt.% were syn...
We analyze the distributions of historic S&P500 multi-day returns for the number of days of accumulation from 20 to 120. With the increase in the number of days of accumulation, we observe clear tempering of power-law tails toward a seemingly fin...
The present paper addresses models of non-local materials and, in particular, flexoelectric materials as dielectrics with higher-order gradients. While the literature develops the subject through variational formulations, here the modelling is develo...
We develop a framework in which quantum field equations are reconstructed from a multi-branch Hamilton–Jacobi structure supplemented by density functionals on configuration space. Each branch is defined by a solution of a functional Hamilton&nd...
The mathematical representation of discrete signals is classically governed by linear basis transforms, such as the Discrete Fourier Transform (DFT), which treat spectral projection as a rigid, deterministic geometric operation. Under this paradigm,...
The Clopper–Pearson method of constructing a confidence interval for the probability of success in a binary population that follows a Bernoulli distribution is well known. This paper pedagogically justifies the Clopper–Pearson method and...
The mathematization of science is undergoing a structural transformation driven by the rise of computation and data-intensive methods. While classical mathematization relied largely on explicitly formulated laws and formal structures, contemporary sc...
A study of elementary counting (of simple clouds of dots by the Munduruku indigenous people of Brazil) is reanalysed in order to compare and contrast three kinds of probability mass functions (PMFs): (i) quantitative response to a discrete range of c...
This paper presents a comprehensive theoretical derivation of a membrane potential formula based on the Association-Induction Hypothesis (AIH), challenging traditional membrane theory and the Goldman–Hodgkin–Katz equation (GHK equation)....
A nonlinear backstepping control framework is developed for autonomous landing of a quadrotor on a wave-excited marine platform. This study addresses the underactuated nature of the aerial vehicle and the strong coupling between translational and rot...
We analyze historic S&P500 multi-day returns: from daily returns to those accumulated over up to ten days. Despite symmetry breaking between gains and losses in the distribution of returns, resulting in its positive mean and negative skew, realiz...
This study introduces a novel matrix defined over the nonzero natural numbers, whose entries are governed by a rigorous closed-form expression. The matrix architecture replicates the topological properties of the Ulam spiral, mapping the integer sequ...
In recent years, large-scale optimization problems have become increasingly common in various fields, such as machine learning and data analysis, generating increased references to both computational cost and accurate solutions. The Grey Wolf Optimiz...
Students entering engineering programs often exhibit insufficient mathematics knowledge and considerable variability in prior training, which can create learning gaps and challenges for higher education integration. This study aims to characterize st...
In this paper, we discuss extensions of the canonical quantization procedure in quantum field theories. We focus specifically on S-matrix representation as a T-exponent. This extension involves flat bundles on certain infinite dimensional functional...
The Shapley value is the predominant point-valued solution concept in cooperative game theory and has recently become a foundational method in interpretable machine learning. In this domain, a prevailing strategy for circumventing the computational i...
We develop an information-theoretic, cost-first framework for discrete dynamics in which the primitive operation is ratio-based comparison. Given two quantities compared via their ratio
Time–space fractional diffusion equations are widely used to model anomalous transport in heterogeneous biological tissues, where memory effects, spatial nonlocality, and coefficient variability are intrinsically coupled. However, existing nume...
The convergence order of higher-order iterative methods for solving systems of nonlinear equations was analyzed using Taylor series expansion, which typically requires the computation of higher-order derivatives not inherently part of the method. Thi...
We present a proof, using elementary methods, of the Euler reflection formula for the Gamma function, based on an integral computed by Laplace and on the Euler–Gauss infinite product representation of Gamma. This way, we reverse the classical p...
We show that thermodynamic consistency in systems with finite excluded volume implies compact support of the grand canonical particle-number distribution. Understanding whether fundamental bounds on information and matter content can arise purely fro...
This work focuses on the analysis of a sequential fractional boundary value problem involving coupled Erdélyi–Kober and Caputo fractional differential operators, together with nonlocal boundary conditions of fractional type. The well-pos...
Carbon dots (C-Dots) have attracted significant interest due to their strong photoluminescence, aqueous stability, and tunable surface chemistry; however, their environmental safety remains incompletely understood. In this work, C-Dots were synthesiz...
Aquatic pollution threatens biodiversity, disrupts ecological balance, and poses risks to communities dependent on freshwater resources. Aquaculture ponds are especially susceptible, as contaminants directly influence both ecosystem stability and the...
Figure 8 and the corresponding reference in the original publication [...]
Global value chains (GVCs) have evolved into highly interconnected and geographically fragmented production networks, increasing exposure to systemic disruptions and revealing the limitations of static input–output and conventional network appr...
Einstein derived the expansion of space ever since the Big Bang started and introduced the possible cosmological constant
A novel approach for analyzing the structural integrity and operational vulnerability of complex networks using intuitionistic fuzzy graphs has been modeled. While traditional fuzzy graph metrics focus primarily on existence, they fail to capture the...
This study examines the time evolution of structural and informational quantifiers in a damped Rabi oscillator, specifically focusing on fidelity, entropy, disequilibrium, and Fisher information. We observe that all four measures exhibit damped oscil...
The well-known shooting algorithm has produced important results in solving various linear as well as nonlinear BVPs, defined on unbounded intervals, but has become obsolete. The main difficulty lies in the numerical handling of the domain’s in...
As a contribution to automated set-theoretic inferencing, a translation is proposed of conjunctions of literals of the forms
Global optimization represents a fundamental challenge in computer science and engineering, as it aims to identify high-quality solutions to problems spanning from moderate to extremely high dimensionality. The Differential Evolution (DE) algorithm i...
The structural vibration of industrial droplet dispensers can be modeled by telegraph-like equations to a good approximation. We reinterpret the telegraph equation from the standpoint of an electric–circuit system consisting of an inductor and...
In this paper, we investigate a new class of nonlinear fractional boundary value problems (BVPs) involving
The root mean square deviation (RMSD) is a widely used item fit statistic in item response models. However, the sample RMSD is known to exhibit positive bias in small samples. To address this, seven alternative bias-corrected RMSD estimators are prop...
Perceptual Control Theory (PCT) and the Free Energy Principle (FEP) are two foundational, principle-based frameworks originally developed to explain brain function. However, since their initial proposals, both frameworks have been generalized to acco...
A probabilistic version of geometry is introduced. The fifth postulate of Euclid (Playfair’s axiom) is adopted in the following probabilistic form: consider a line and a point not on the line—there is exactly one line through the point wi...
We consider a class of strongly mixing sequences with infinite second moment. This class contains important GARCH processes that are applied in econometrics. We show the relative stability for such processes and construct a counterexample. We apply t...
This study investigates the origin and amplification of magnetic fields in planets and galaxies, emphasizing the foundational role of a seed magnetic field (SMF) in enabling dynamo processes. We propose a universal mechanism whereby an SMF arises nat...
of 6