Abstract: Background/Objectives: Vaccination against respiratory viruses—such as respiratory syncytial virus (RSV), pneumococcal disease, influenza, and COVID-19—may reduce the risk of adverse outcomes in older adults with cardiovascular disease. This study conducted a scoping review of the effects of respiratory vaccines in older adults with cardiovascular disease. Methods: We included studies evaluating adults aged ≥60 years with cardiovascular disease who received different types of respiratory vaccines. Eligible designs comprised clinical trials, observational cohort studies, and other relevant studies. Editorials, commentaries, and non-original publications were excluded. A comprehensive and targeted literature search was conducted in PubMed, Scopus, EMBASE, and Web of Science from database inception through January 2026. Results: A total of 26 studies were included, encompassing 1,782,787 adults aged ≥60 years with cardiovascular disease who received various respiratory vaccines. RSV vaccines were associated with a lower incidence of cardiorespiratory hospitalization and stroke among vaccinated individuals. Pneumococcal vaccines showed that sequential dual vaccination strategies were associated with a lower risk of cardiovascular events. Influenza vaccination was associated with improved cardiovascular outcomes, lower mortality, and reduced adverse events. COVID-19 vaccines were associated with reductions in mortality and hospitalizations. These benefits are particularly relevant in an older population with a high burden of comorbidities; therefore, complete vaccination schedules, including booster doses, should be considered a central strategy for prevention and comprehensive management in this high-risk group. Conclusions: Vaccination against respiratory viruses in older adults with cardiovascular disease demonstrates an overall favorable/acceptable profile of efficacy and safety, with reductions in mortality, hospitalizations, and cardiovascular events, without a significant increase in serious adverse events.

Abstract: Bell tests and Bell's theorem used to interpret the test results opened the door to quantum information processing, such as quantum computation and quantum communication. Based on the erroneous interpretation of the test results, quantum information processing contradicts a well-established mathematical fact in point-set topology. In this study, the feasibility of quantum computation and quantum communication is investigated. The findings are as follows. (a) Experimentally confirmed statistical predictions of quantum mechanics are not evidence of experimentally realized quantum information processing systems. (b) Physical carriers of quantum information coded by quantum bits (qubits) do not exist in the real world. (c) Einstein's ensemble interpretation of wave-function not only will eliminate inexplicable weirdness in quantum physics but also can help us see clearly none of quantum objects in the real world carry quantum information. The findings lead to an inevitable conclusion: Without carriers representing quantum information, physical implementations of quantum information processing systems are merely an unrealizable myth. Examples are given for illustrating the reported results. For readers who are unfamiliar with point-set topology, the examples may alleviate difficulty in understanding the results.

Abstract: Background: Post-thyroidectomy vocal cord dysfunction (PT-VCD) is an important side effect of thyroid surgery. With the introduction of IONM, hopes have been raised that either the rate or severity of PT-VCD could be reduced. However, data to support these concepts are scarce. To better understand the relationship between IONM outcomes and the severity of PT-VCD, a detailed time course evaluation of recovery of PT-VCD was performed in a continuous clinical quality registry from a specialized high-volume endocrine surgery center. Methods: Retrospective analysis of prospectively documented data from a clinical quality assurance registry from June 2015 to May 2016 with a 12-month follow-up of all cases. All patients underwent vocal cord (VC) laryngoscopy (VCL) by independent ENT specialists before and after surgery. Cases with newly diagnosed PT-VCD were enrolled in a detailed follow-up program (recruiting from June 2015 to May 2016) and structured telephone interviews every 4-6weeks to assess the exact time course of PT-VCD recovery and VC status for periods of at least 12 months. Clinical data were analyzed for variables affecting the time course of recovery by univariate analysis. Results: From 6/2015 - 5/2016 there were 1097 consecutive thyroid procedures. During this period, there were 78 PT-VCD (1591 nerves at risk (NAR); 4,9 %) entered into the detailed follow-up-program. Of these, 3 PT-VCD persisted at 12 months (PT-VCD 0,18 % NAR), with 6 LOF (maximum rate of potentially persisting PT-VCD of 0,54% NAR). 15% of PT-VCD recovered within 4 weeks, mean recovery time was 4.4 months and 6 months after thyroidectomy 18 % still had impaired VC laryngoscopy tests. Individual cases were followed > 12 months showing late full recovery of PT-VCD, challenging the definition of permanent VCD. Logistic regression analysis revealed non-transitory loss of signal (ntLOS) (OR for recovery within 12 weeks 0.39 (95%CI 0.15-0.98), p= 0.046) and more specific, secondary ntLOS to be a significant independent predictor of PT-VCP recovery > 12 weeks (OR for recovery within 12 weeks 0.303 (95%CI 0.115-0.797), p= 0.016). Conclusion: For the first time, these data provide a detailed description of the time course of PT-VCD recovery in a large cohort and a correlation with operative data and IONM. We found that recovery takes a long time and non-transitory loss of signal – especially secondary ntLOS - during IONM was associated with prolonged PT-VCD recovery. Therefore, IONM provides an additional benefit and early initiation of speech therapy may be advisable for these patients.

Abstract: Background/Objectives: Children’s social development is a significant aspect that supports appropriate behavior in the community, and parents, as the main caregivers, play a central role in developing children’s social skills. However, caregivers experiencing psychological distress – such as depression, anxiety, stress - may find it challenging to provide a nurturing rearing environment. This longitudinal study examined whether caregivers’ baseline mental health predicts children’s social skills 1 year later in an urban Indonesian context. Methods: A one-year follow-up study was conducted in an urban area of Indonesia in 2023–2024, inviting all nine kindergartens in the area to participate. Caregivers completed the demographic and Depression, Anxiety, Stress Scale (DASS-21), while teachers assessed children’s social skills using the Social Skills Scale (SSS). Linear mixed-effects models with random intercepts for kindergarten were estimated to account for clustering. Results: Finally, a total of 270 parent–child dyads were included. After adjusting for baseline social skills and covariates, higher levels of baseline caregiver depression (B = -0.15, p < .001), anxiety (B = -.22, p < .001), and stress (B = -.27, p < .001) were associated with lower children's social skills in the follow-up. Conclusions: Even subclinical variations in caregiver psychological distress may meaningfully influence children’s social development over time. Strengthening caregiver mental health support, particularly in urban communities, may represent an important pathway for promoting early social competence and long-term developmental outcomes.

Abstract: Telmisartan (TEL) is a non-peptide, orally administered antihypertensive agent primarily known as angiotensin II type 1 (AT1) blocker. In this review, we provide a detailed overview of how TEL modulates voltage-gated Na⁺ current (I_Na) and affects action potential (AP) firing behavior. TEL exerts differential stimulatory effects on the peak and late components of I_Na when subjected to brief depolarizing pulses across a range of cell types, such as mHippoE-14 hippocampal neuron, cultured dorsal root ganglion neurons, and HL-1 atrial cardiomyocytes. TEL can augment the inactivating (persistent) I_Na elicited by ascending long ramp pulse in mHippoE-14 cells. By using a parvalbumin-expressing interneuron-based modeled cell combined with bifurcation analysis, it is possible to predict how applied current influences subthreshold oscillations and the generation of somatic spiking in the presence of TEL. According to the Hodgkin-Huxley model, mimicking the action of TEL—characterized by an increased peak amplitude of I_Na and a slowed inactivation time course—leads to the emergence of periodic oscillations in membrane potential. Using a Markovian process, a separate model can also be mathematically constructed, showing that changes in certain rate constants can simulate the effect of TEL on I_Na in cardiac cells. The molecular docking prediction between TEL and the NaV1.7 channel was made by expected formation of hydrophobic interactions as well as hydrogen bonding. Beyond its antagonistic action on AT1 receptor and agonistic activation of peroxisome proliferator-activator-γ, the direct stimulation of I_Na may also contribute to its modulation of AP firing in various excitable cells. Current evidence supports TEL’s modulatory impact on Na_V channel activity and cellular excitability, while also acknowledging that the mechanism—whether direct or indirect—remains under investigation.

Abstract: Hydrophobic carbon quantum dots (hbCQDs) with tunable photoluminescence were synthesized via a solvothermal approach and further hybridized with Rhodamine B (RhB) to extend emission into the visible range. The hbCQDs exhibit quasi-spherical morphology with an average particle size of 8 nm and predominantly disordered graphitic structure, as confirmed by TEM and XRD analyses. FTIR and XPS characterizations reveal surface functional groups including C–N, C=O/C–O, and S–H, which govern the photoluminescence properties. Pure hbCQDs display blue emission at 453 nm under excitation, with a quantum yield (QY) of 6.2%. Incorporation of RhB leads to dual-emission behavior: the surface-state emission remains in the blue region, while molecular-state emission from RhB appears in the orange-red region. The 0.2 mL RhB–CQD composite exhibits optimal properties, including a QY of 13% and a production yield of 82%, emitting white light under 365 nm UV excitation. Increasing RhB loading to 0.4 mL results in a shift of emission peaks and a reduced QY (<9%), with weaker orange fluorescence. These findings demonstrate that controlled RhB hybridization effectively tunes the emission spectrum of hbCQDs, offering a simple and reproducible strategy to achieve dual-color and white-light emission. The optimized hbCQDs/RhB composites hold significant potential for applications in hydrophobic media-compatible optoelectronics, light-emitting devices, and bioimaging.

Abstract: Inadequate surface sanitization represents a significant risk to sterility assurance and regulatory compliance. Therefore an effective cleaning and disinfection programme is a critical component of contamination control strategies in pharmaceutical facilities manufacturing sterile medicinal products. This study aimed to standardize a carrier-based methodology for evaluating the efficacy of disinfectants against in-house environmental isolates recovered from a pharmaceutical industry facility. Nine representative strains (six bacteria and three fungi), selected based on historical environmental monitoring data (2012–2022), were characterized using matrix-assisted laser desorption/ionization - time-of-flight / mass spectrometry (MALDI-TOF MS) and molecular sequencing (16S rRNA or D2 LSU rDNA). Disinfectant efficacy was assessed on stainless-steel and low-density polyethylene surfaces using NF T 72-281:2014 with adaptations, testing alcohol 70%, sodium hypochlorite 0.5%, quaternary ammonium 0.05%, peracetic acid 0.5%, and accelerated hydrogen peroxide wipes. All agents demonstrated ≥5 log₁₀ reductions against vegetative bacteria and fungi on both surfaces. However, variable sporicidal performance was observed, particularly for one Bacillus cereus group strain (B1342/15), which showed limited reduction on stainless-steel. These findings highlight inter-strain variability and the greater tolerance of surface-associated spores. The study reinforces the importance of carrier-based testing using in-house isolates to ensure realistic validation of disinfectants and to strengthen microbiological risk management within pharmaceutical contamination control strategies.

Abstract: In the marine navigation environment, static obstacles such as shallow waters, islands, and restricted zones coexist with dynamic threats like typhoons. Rapidly planning safe, shortest routes is crucial for ensuring vessel and personnel safety while enhancing navigation efficiency. However, existing path planning algorithms face limitations when addressing dynamic threats like typhoons, struggling to achieve an effective balance between efficiency and effectiveness. To address this, this study proposes an improved Time-Dynamic Theta algorithm (TDM-Theta*) based on the Theta algorithm. By incorporating wave height as a key constraint, it comprehensively evaluates the actual impact of dynamic marine environments on routes, thereby efficiently planning safe, shortest paths that proactively avoid typhoon impacts. Through testing and analysis of eight case studies across three typical scenarios, this algorithm demonstrates high efficiency and effectiveness in planning the shortest safe routes across diverse operational environments. The research findings provide theoretical foundations and methodological support for intelligent planning of safe vessel routes.

Abstract: Despite the availability of antibiotics, pulmonary tuberculosis (TB) remains a leading infectious cause of mortality globally. Treatment failure and the emergence of drug-resistant strains are largely driven by the heterogeneous architecture of caseating granulomas and the complex biophysical mechanisms by which Mycobacterium tuberculosis (Mtb) evades host immunity. Highly lipophilic frontline drugs, such as bedaquiline and clofazimine, exhibit severe sequestration within the lipid-rich necrotic caseum, preventing them from reaching the dormant persister bacilli at the lesion's core. Furthermore, recent biophysical discoveries reveal that Mtb utilizes extracellular vesicles and specialized lipids to mechanically stiffen host macrophage membranes, thereby arresting phagosome-lysosome fusion. This review proposes an AI-optimized, "Trojan Horse" hybrid nanocarrier strategy—comprising a lipidic core, a mucoadhesive chitosan shell, mannose-targeted ligands, and pH-responsive release mechanisms—to bypass these dual barriers. By bridging lesion-centric pharmacokinetics ( , ), novel bioorthogonal diagnostic probes, and machine learning formulation designs, we present a translational roadmap aimed at achieving complete sterilization of caseous cavities.

Abstract: Changes in land use and land cover (LULC) are among the leading contributors to global envi-ronmental transformation. Analyzing these dynamics is essential for understanding historical land utilization patterns and identifying the key drivers behind such shifts. This research focuses on LULC changes in the Kunar region of eastern Afghanistan. To classify the LULC types, the study area was divided into nine major classes using the Support Vector Machine (SVM) algorithm, based on Landsat 07 Enhanced Thematic Mapper Plus (ETM+) data for 2004 and Landsat 8 Oper-ational Land Imager (OLI) data for 2014 and 2024. Past and present changes were evaluated using ArcGIS 10.8, while future scenarios for 2034 and 2044 were simulated using the Land Change Modeler (LCM) embedded in the TerrSet platform, combined with the Cellular Automata–Markov Chain (CA-MC) model with 90% kappa agreement validation value. From 2004 to 2024, grassland expanded significantly from 68.93% (3,406 km2) to 73.94% (3,654 km2). Built-up areas grew from 0.59% (29.10 km2) in 2014 to 1.02% (50.39 km2) in 2024. Conversely, dense forest cover declined from 27.50% (1,358.90 km2) to 22.96% (1,134.75 km2), a decrease of 224.15 km2. Barren land, after a temporary increase, also showed a net decline. Projections for 2034 and 2044 suggest a further reduction in forested areas to 1,077 km2, while grasslands and urbanized zones are ex-pected to increase to 3690 km2 and 60.63 km2, respectively. These trends emphasize a swift transi-tion in land use patterns, primarily driven by the conversion of forested and barren landscapes into settlements and grasslands. The findings underline the urgent need for implementing sus-tainable land management strategies to curb environmental degradation and ensure balanced land resource utilization in the future.

Abstract: Efficient irrigation management is critical for increasing water production and providing high-quality planting material in fruit tree nurseries. This study looked at how four different irrigation depths (0, 10, 20, and 30 mm each irrigation event) affected graft establishment, nursery survival rate, total water consumption, and irrigation water productivity in peach (Prunus persica (L.) Batsch). Field studies were carried out in a commercial nursery in northeastern Romania over two consecutive growth seasons, with two cultivars ('Redhaven' and 'Cresthaven') and four fertilization levels in a factorial design. Irrigation considerably increased graft take and the number of marketable nursery trees compared to rainfed circumstances. Moderate irrigation (20 mm per irrigation event) resulted in the highest nursery survival rate and water efficiency. Higher irrigation inputs increased total water use, but reduced irrigation water productivity. Regression analysis revealed nonlinear connections between water consumption and nursery performance, implying that productivity advantages drop with increasing irrigation levels. The findings suggest that moderate watering can boost nursery yield while conserving water. These findings offer practical recommendations for irrigation management in commercial peach nursery production systems.

Abstract: Visual field testing is critical in diagnosing and managing glaucoma, which affects over 80 million people worldwide, as well as other ocular diseases and stroke. Visual field test perimeters detect blind spots (scotomas) and map the boundaries of a patient’s visual field. Standard perimetry machines are accurate, but prohibitively expensive and inaccessible in low-resource settings, while traditionally accessible forms of perimetry are less reliable. Virtual reality (VR)- based perimetry systems offer a potential low-cost, accessible alternative. This study reviews the development, clinical potential, and accuracy of VR perimetry. Findings showed that VR-based perimetry systems were comparable to, and in some cases even more effective than, standard perimetry tests, but these results were not universal, suggesting that greater standardization of testing protocols is necessary.

Abstract: The main aim of this study was to investigate the association between areas of work life and engagement in the development of burnout syndrome in self-employed and sub-ordinate psychologists. Using a cross-sectional approach with quantitative and qualitative elements, three scales validated for the Brazilian population were applied: Burnout Assessment Tool (BAT), Areas of Worklife Survey (AWS) and Utrecht Work Engagement Scale (UWES). 180 psychology professionals took part, with a predominance of females (88.3%) and a majority aged between 24 and 29. The results revealed a strong negative correlation between the BAT domains and aspects assessed by the UWES, confirming the inverse association between engagement and burnout. In addition, the positive associa-tion between areas of work life and engagement was confirmed. However, there was no confirmation of the negative association between areas of work life and burnout, and no evidence was found that these areas act as mediators in the relation between engagement and burnout. Thus, although the areas of work life have been shown to influence en-gagement and burnout independently, their role as mediators in this relationship has not been confirmed. Although some hypotheses were confirmed and significant associations were found, the research also encountered unexpected results and limitations that deserve to be considered in future investigations such as this one.

Abstract: The Riemann Hypothesis, one of the most celebrated open problems in mathematics, addresses the location of the non-trivial zeros of the Riemann zeta function and their profound connection to the distribution of prime numbers. Since Riemann’s original formulation in 1859, countless approaches have attempted to establish its truth, often by examining the asymptotic behavior of arithmetic functions such as Chebyshev’s function θ(x). In this work, we introduce a new criterion that links the hypothesis to the comparative growth of θ(x) and primorial numbers. By analyzing this relationship, we demonstrate that the Riemann Hypothesis follows from intrinsic properties of θ(x) when measured against the structure of primorials. This perspective highlights a striking equivalence between the distribution of primes and the analytic behavior of ζ(s), reinforcing the deep interplay between multiplicative number theory and analytic inequalities. Beyond its implications for the hypothesis itself, the result offers a fresh framework for understanding how prime distribution governs the analytic landscape of the zeta function, thereby providing new insight into one of mathematics’ most enduring mysteries.

Abstract: Remote sensing (RS) air pollution and greenness investigations provide new information about the risk factors and physiologic mechanisms that change stroke subtype occurrence and risk. Five electronic literature databases (PubMed, Scopus, Embase, Web of Science, Google Scholar) were searched to identify 99 unique published research studies that used RS to evaluate the contribution of ambient air pollution and greenness to four stroke subtypes (cerebrovascular, stroke, ischemic, hemorrhagic). Agreement between ambient aerosol optical depth (AOD)-PM2.5 concentration level values and ambient PM2.5 air monitor measurements was 75.1% (95% CI=72.0-%-78.2%). Record analyses demonstrated the significant contribution of higher ambient AOD-air pollution concentration level values to increased stroke subtype occurrence and risk, but significant protection was rendered by increased RS greenness spatial coverage to decreased stroke subtype occurrence and risk. Environmental risk factors were significantly associated with each stroke subtype. There were significant differences between the eight risk factors and stroke subtype combinations. Single and multiple physiologic mechanisms of immune, inflammation, oxidative stress, and other sources were uniquely associated with individual and multiple stroke subtypes. Literature review findings were used to develop a descriptive-explanatory stroke subtype physiologic mechanism model. The model can assist in the development and implementation of population-based stroke subtype intervention programs.

Abstract: The rapid advancement of artificial intelligence (AI) presents unprecedented challenges for labor market forecasting, requiring fundamental methodological innovations that move beyond traditional extrapolation techniques. This policy paper proposes comprehensive enhancements to the U.S. Bureau of Labor Statistics (BLS) employment projection systems to better capture and forecast AI's impact on employment structures, job roles, and workforce skill requirements. Drawing on recent empirical research and the bureau's existing methodological frameworks, we present an integrated architectural framework that combines task-based exposure modeling, real-time data analytics, causal inference methods, and enhanced gross flows estimation. Our recommendations address critical gaps in current BLS methodologies identified through systematic literature review and analysis of emerging AI adoption patterns, including the distinction between automation and augmentation effects, the nonlinear dynamics of AI adoption, and differential impacts across worker demographics. We propose a dynamic Occupational AI Exposure Score (OAIES) framework that leverages large language models and occupational task data, alongside enhanced data collection strategies and modernized estimation techniques. The architectural framework, illustrated through five interconnected diagrams, demonstrates how these methodological innovations integrate into a coherent system for measuring labor market transformation. These enhancements would enable more accurate projections of job displacement, skill evolution, and employment transformation across industries and geographic regions, supporting evidence-based policymaking for workforce development in an AI-driven economy. The paper concludes with a phased implementation strategy and validation protocol to ensure methodological rigor and operational feasibility.

Abstract: Organizations increasingly confront persistent tensions that require leaders to pursue competing demands simultaneously. Although prior research highlights paradox mindset as an orientation toward embracing tensions, less is known about the capabil-ity-based microfoundations that enable leaders to enact paradoxical leadership behaviors in practice. Addressing this gap, this study develops a cognitive–emotional capability framework that focuses on two developable resources: integrative complexity (IC)—a cognitive ca-pacity for differentiating and integrating competing demands—and emotion regulation (ER)—an affective capacity for sustaining engagement under tension. Using survey data from 264 Japanese managers, we examine the independent and joint effects of IC and ER strategies on paradoxical leader behaviors (PLB). Results show that IC and cognitive reappraisal are positively associated with PLB. Pol-ynomial regression and response surface analyses further reveal that PLB increases as IC and cognitive reappraisal rise together. However, when the two capabilities are im-balanced, PLB tends to be higher in profiles where IC exceeds reappraisal than in the opposite configuration. These findings suggest an asymmetric form of complementarity in which integrative complexity functions as a foundational capability while reappraisal provides supportive leverage. Overall, the study shifts attention from trait-like mindsets to trainable lead-ership capabilities and clarifies how cognitive–emotional capability configurations enable the enactment of paradoxical leadership.

Abstract: Background: Intraoperative radiotherapy with low-energy X-rays (IOXRT) is an increasingly utilized modality during breast conserving therapy (BCT). However, the molecular mechanisms by which it affects the postoperative microenvironment remain to be fully elucidated. Surgical wound fluid (WF) has been demonstrated to modulate cancer cell behavior; however, its metabolomic composition has not been previously characterized in the context of breast cancer. The objective of this study was to evaluate metabolic alterations in postoperative WF and to determine whether IOXRT induces distinct metabolic signatures compared with mastectomy (AMP).Methods: Postoperative WF was collected from 54 breast cancer patients (38 BCT IOXRT; 16 AMP) at two time points: day 1 (A) and day 5 (B) after surgery. The samples were then subjected to analysis using ¹H NMR spectroscopy, encompassing NOESY, CPMG, and JRES techniques. A total of 114 spectral signals were quantified, and 42 metabolites were identified. Multivariate analyses (PCA, PLS DA, OPLS DA) and Wilcoxon signed rank tests were applied to assess temporal and intergroup differences.Results: A clear metabolic separation between time points A and B was observed in both treatment groups. However, statistical analysis revealed no significant differences between BCT IOXRT and AMP. In BCT IOXRT, on the fifth day, WF exhibited a decline in branched chain amino acids, asparagine, lysine, methionine, and glutamate, concomitant with an increase in lactate and pyruvate. AMP-specific alterations encompassed a decrease in 2-oxoglutarate and hypoxanthine on the first day, along with an increase in glucose and creatinine on the fifth day. A decline in ketone bodies (3-hydroxybutyrate, acetoacetate, acetone) was observed in both groups.Conclusions: Postoperative WF demonstrates dynamic metabolic changes reflecting early wound healing processes and treatment-related effects. IOXRT has been found to be associated with enhanced glycolytic signatures and reduced amino acid levels, suggesting altered metabolic activity in the irradiated tumor bed. The metabolomic profiling of WF has the potential to offer a novel source of biomarkers, which could facilitate the assessment of treatment response and tumor microenvironment characteristics.

Abstract: Contemporary large language models (LLMs) are radically stateless: at every inference step they recompute the entire context, retain no persistent state, and perform no local weight adaptation. This simplicity enables massive scaling but also imposes fundamental limits on stability, speed, and energy efficiency. Each generation step collapses a rich internal state into a single token, causing cumulative drift and extreme computational redundancy. I formulate the AI Theorem: no purely computational system that generates output iteratively and without an external source of negative entropy can maintain stable information for an unlimited number of steps. This represents an analogue of Shannon’s Data Processing Inequality for computational cognition and defines a theoretical boundary for all computable architectures. Building on this limit, I outline Dynamic‑State AI, an architecture with persistent state, local updates, and dynamic weights. It respects the AI Theorem while approaching its limit asymptotically, reducing drift and energy use. This paper proposes a conceptual limit and an architectural framework rather than empirical results.

Abstract: We investigate the mechanisms by which natural systems encode data across multi-dimensional spaces. Integrating principles from information theory, probability, and geometry, we propose that certain Lie Groups govern these encoding processes. We first demonstrate that evenly distributed information becomes computationally unsolvable in higher dimensions. If we do not notice the "curse of dimensionality," it is because nature likely uses geometric positional notation at a rudimentary level. By extending the definition of representational cost to m dimensions using Benford’s Law, we identify a cost minimum at powers of Euler’s number (е^m). We introduce the "Lie Squad" (B3, F4, G2, A2, A1, and E6), a set of six compact simple Lie groups whose irreducible representations coincide with this ideal cost when m matches the group’s algebraic rank. These irreps facilitate a fundamental, rank-invariant number system based on balanced ternary, uniquely encoding integers as the difference of two natural numbers in bijective notation. Finally, we examine the Weyl orders of the Lie Squad members to show that Weyl divisors yield a logarithmic scale consistent with Benford’s Law and the universal number system proposed.