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The Interplay Between Hyperglycaemia-Induced Metabolic Stress and the EMT-Driven Therapeutic Resistance in Cancer
Rabia Zafar
,Thanh Dat Pham
,Lupeuea Vakafua
,Teana Reed
,Naisana Seyedasli
Posted: 06 March 2026
Bridging Diagnostic Condition Monitoring and NVH Tonal Excitation Through Frequency-Domain Structural Mapping
Krisztián Horváth
Posted: 06 March 2026
Spatial Unit Conservation and Dynamic Reorganization: A Unified Framework of Gravity, Cosmology and Quantum Discreteness
Spatial Unit Conservation and Dynamic Reorganization: A Unified Framework of Gravity, Cosmology and Quantum Discreteness
Hongliang Qian
,Yixuan Qian
This paper proposes a unified theoretical framework based on discrete space element dynamics. The core concept posits the existence of a conserved "spatial raw material" through which quantum virtual processes continuously generate new spatial elements, forming localized density gradients that manifest as spacetime curvature. This mechanism inherently excludes superlative effects, remains compatible with general relativity under covariance constraints, and provides a unified explanation for challenges such as dark matter, dark energy, and black hole singularities. The paper first elucidates the fundamental principle of "global covariant symmetry" and then offers an ultimate interpretation of symmetry breaking: symmetry is not "broken" but rather a local cost paid for global covariance. The core dynamics of this framework are systematically developed, with rigorous derivations of Newtonian gravitational limits, mass-energy equations, the principle of the constancy of the speed of light, the fundamental form of Maxwell's equations, and Newton's three laws from basic assumptions. Furthermore, by strictly defining k-body stable entanglement classes on discrete spacetime graphs, the symmetry group is proven to be SU(k), and the gauge group of the Standard Model—SU(3)×SU(2)×U(1)—is uniquely derived. Under the continuous limit, the Yang-Mills action, chiral fermions, Higgs field, and Einstein's gravity are obtained. The theory predicts all 28 independent parameters of the Standard Model—including gauge coupling constants, fermion mass spectra, CKM matrices, PMNS matrices, Higgs parameters, strong CP parameters, and neutrino mass squared differences—with deviations from experimental values generally below 10⁻⁴ to 10⁻⁸. These predictions constitute the "geometric periodic table" of physical constants, signifying that the 28 free parameters of the Standard Model are completely nullified. The article concludes with multiple quantitative predictions verifiable by future experiments, providing a self-consistent, comprehensive, and experimentally testable new pathway for the unification of quantum gravity and particle physics.
This paper proposes a unified theoretical framework based on discrete space element dynamics. The core concept posits the existence of a conserved "spatial raw material" through which quantum virtual processes continuously generate new spatial elements, forming localized density gradients that manifest as spacetime curvature. This mechanism inherently excludes superlative effects, remains compatible with general relativity under covariance constraints, and provides a unified explanation for challenges such as dark matter, dark energy, and black hole singularities. The paper first elucidates the fundamental principle of "global covariant symmetry" and then offers an ultimate interpretation of symmetry breaking: symmetry is not "broken" but rather a local cost paid for global covariance. The core dynamics of this framework are systematically developed, with rigorous derivations of Newtonian gravitational limits, mass-energy equations, the principle of the constancy of the speed of light, the fundamental form of Maxwell's equations, and Newton's three laws from basic assumptions. Furthermore, by strictly defining k-body stable entanglement classes on discrete spacetime graphs, the symmetry group is proven to be SU(k), and the gauge group of the Standard Model—SU(3)×SU(2)×U(1)—is uniquely derived. Under the continuous limit, the Yang-Mills action, chiral fermions, Higgs field, and Einstein's gravity are obtained. The theory predicts all 28 independent parameters of the Standard Model—including gauge coupling constants, fermion mass spectra, CKM matrices, PMNS matrices, Higgs parameters, strong CP parameters, and neutrino mass squared differences—with deviations from experimental values generally below 10⁻⁴ to 10⁻⁸. These predictions constitute the "geometric periodic table" of physical constants, signifying that the 28 free parameters of the Standard Model are completely nullified. The article concludes with multiple quantitative predictions verifiable by future experiments, providing a self-consistent, comprehensive, and experimentally testable new pathway for the unification of quantum gravity and particle physics.
Posted: 06 March 2026
Local Metabolic-Hypoxic Conditioning as a Spatial Modulator of Immune-Mediated Tissue Injury: A Systems Framework with Application to Multiple Sclerosis
Uri Gabbay
Posted: 06 March 2026
Synthesis, Structural Characterization, and SHG behavior of a Lanthanum/β-D-fructose-based Metal Organic Framework
Domenica Marabello
,Paola Benzi
Posted: 06 March 2026
Natural Language Processing in the Era of Large Language Models: Foundations, Integration, and Low-Resource Frontiers
Monisha Gottam
Posted: 06 March 2026
Physical and Biogeochemical Drivers for Forecasting Red Tides in Southwest Florida: A Regionally Integrated Machine Learning Framework
Matthew Duus
,Ahmed S. Elshall
,Michael L. Parsons
,Ming Ye
Posted: 06 March 2026
Assessment of Public Stigma Towards People with Mental Health Problems
Lorena Liñan-Díaz
,María Desamparados Bernat-Adell
,Vicente Bernalte-Martí
,Nuria Vives-Díaz
Posted: 06 March 2026
Cruise Tourism and Sustainable Urban Mobility: A Contingent Valuation Study of Zadar, Croatia
Marija Opačak Eror
Posted: 06 March 2026
Risk-Informed Screening of Locally Occurring Plants for Nature-Based Restoration of Heavy-Metal-Contaminated Soils in Central Kazakhstan
Aizhan Rakhisheva
,Raikhan Beisenova
,Ignacio Menéndez-Pidal
,Zhanar Rakhymzhan
,Rumiya Tazitdinova
,Zhadra Shingisbayeva
Posted: 06 March 2026
Identification of circCIAO1(5) and circMALAT1 as Novel Biomarkers for Bladder Cancer Monitoring Based on the Binding to miR-101-3p
Aaron Huang
,Wayne C. Waltzer
,Michael Hung
,Frank Darras
,Adam M. Kressel
,Victor Romanov
Posted: 06 March 2026
Dual-Constrained Agentic PPO for Web Agents Under Multi-Cost Budgets and CVaR Failure Risk
Antoine Dubois
,Julien Moreau
,Camille Lefèvre
Posted: 06 March 2026
Common Wood Pigeon (Columba palumbus): An Avian Bioindicator of Antimicrobial Resistance at the Human-Wildlife Interface
Áron Sárközy
,Eszter Nagy
,Attila Bende
,Ágnes Csivincsik
,Brigitta Bóta
,Gábor Nagy
,Melinda Kovács
,Tamás Tari
Posted: 06 March 2026
Myxoid Lipoblastoma with New Fusion Transcript PLAG1–CHCHD7 in an 18-Month-Old Girl Diagnosed by Target RNA Sequencing: A Case Report
Danijela Cvetković
,Marina Gazdić Janković
,Marina Miletić Kovačević
,Amra Ramović Hamzagić
,Irena Urošević
,Vesna Rosić
,Biljana Ljujić
Posted: 06 March 2026
Stratospheric Ozone Variability Linked to Dynamical Forcing in the Arctic Winter 2023/2024
Dora Pancheva
,Plamen Mukhtarov
Posted: 06 March 2026
Mechanical Fatigue of Titanium Dental Implants after Implantoplasty: Effect of Material Removal and Finite Element Simulations
Esteban Padullés-Roig
,Pablo Sevilla
,Eugenio Velasco-Ortega
,Miguel Cerrolaza
,Darcio Fonseca
,Jeanne Parache
,Conrado Aparicio
,Javier Gil
Posted: 06 March 2026
From the Pythagorean Dream to the Fermatian Obstruction: The Unified Chain
Ibar Federico Anderson
For every prime p and every integer a, the backward finite difference δp(a) := aᵖ − (a − 1)ᵖ equals the cyclotomic binary form Φp(a, a − 1) and hence the norm N_Q(ζp)/Q(a − ζp(a − 1)). For p = 3 this specialises to δ3(a) = N_Z[ω](a − ω(a − 1)), connecting the individual cubic finite difference — obtained by differencing the classical sum formula of Nicomachus of Gerasa (∼100 CE) — with the Eisenstein norm that appears in Euler's factorisation of a³ + b³.Starting from the historical identity S3(n) = Tₙ² where Tₙ = n(n + 1)/2, and applying the backward finite difference operator ∇f(n) := f(n) − f(n − 1) — formalised by Taylor (1715) and systematised by Boole (1860) — the Cubic Identity is derived: n³ = (n²/4)[(n + 1)² − (n − 1)²] = Tₙ² − Tₙ₋₁².This identity is extended to all p ≥ 1 via the Universal Faulhaber–Bernoulli Identity (UFBI): nᵖ = 1/(p+1) Σⱼ₌₀ᵖ C(p+1,j) Bⱼ⁺ δp+1−j(n), δm(n) := nᵐ − (n−1)ᵐ.The central contribution of this work is the Unified Chain Formula: ∇Tₙ² = δ3(a) = N_Z[ω](a − ω(a−1)) = Φ3(a, a−1) = N_Q(ζ3)/Q(a − ζ3(a−1)), which connects, in a single proved identity, five centuries of mathematics: Nicomachus (1st century), Boole (19th century), Euler/Eisenstein (18th century), and Gauss/cyclotomic theory (19th–20th centuries). This chain is not present as such in the existing literature; its originality lies in the explicit articulation of these connections, not in the individual equalities, each of which follows from classical results.Beyond the Unified Chain, the following new elements are introduced: (i) the Tower of Norms a³ = Σₖ₌₁ᵃ N(αk), making explicit how each perfect cube is a stack of hexagonal norms; (ii) the Cyclotomic Compatibility Index ICC(n, p), which quantifies the arithmetic obstruction to hᵖ = aᵖ + bᵖ having integer solutions; (iii) the Window Incompatibility Theorem, formalising why the hexagonal windows {a−1, a, a+1} and {b−1, b, b+1} can never merge into a single window {h−1, h, h+1} in Z[ω] for a, b ≥ 2; (iv) the Order Theorem for δm(n), providing a complete characterisation of prime divisibility of finite differences via multiplicative orders; (v) the Extreme Reduction Theorem (ERT), showing that the Order Filter eliminates every pair (a, b) with a ≥ 2 from the equation a³ + b³ = c³, reducing the problem to the case a = 1; (vi) the Fermatian Rigidity Index R(p), a quantitative measure of how far (aᵖ + bᵖ)^(1/p) is from an integer. All results are illustrated throughout by the single running example a = 6, b = 10, and the key number 91 = 7 × 13. Verified over 179,700 pairs with 50-digit precision: zero exceptions. This work does not claim to prove Fermat's Last Theorem, definitively established by Wiles [1].
For every prime p and every integer a, the backward finite difference δp(a) := aᵖ − (a − 1)ᵖ equals the cyclotomic binary form Φp(a, a − 1) and hence the norm N_Q(ζp)/Q(a − ζp(a − 1)). For p = 3 this specialises to δ3(a) = N_Z[ω](a − ω(a − 1)), connecting the individual cubic finite difference — obtained by differencing the classical sum formula of Nicomachus of Gerasa (∼100 CE) — with the Eisenstein norm that appears in Euler's factorisation of a³ + b³.Starting from the historical identity S3(n) = Tₙ² where Tₙ = n(n + 1)/2, and applying the backward finite difference operator ∇f(n) := f(n) − f(n − 1) — formalised by Taylor (1715) and systematised by Boole (1860) — the Cubic Identity is derived: n³ = (n²/4)[(n + 1)² − (n − 1)²] = Tₙ² − Tₙ₋₁².This identity is extended to all p ≥ 1 via the Universal Faulhaber–Bernoulli Identity (UFBI): nᵖ = 1/(p+1) Σⱼ₌₀ᵖ C(p+1,j) Bⱼ⁺ δp+1−j(n), δm(n) := nᵐ − (n−1)ᵐ.The central contribution of this work is the Unified Chain Formula: ∇Tₙ² = δ3(a) = N_Z[ω](a − ω(a−1)) = Φ3(a, a−1) = N_Q(ζ3)/Q(a − ζ3(a−1)), which connects, in a single proved identity, five centuries of mathematics: Nicomachus (1st century), Boole (19th century), Euler/Eisenstein (18th century), and Gauss/cyclotomic theory (19th–20th centuries). This chain is not present as such in the existing literature; its originality lies in the explicit articulation of these connections, not in the individual equalities, each of which follows from classical results.Beyond the Unified Chain, the following new elements are introduced: (i) the Tower of Norms a³ = Σₖ₌₁ᵃ N(αk), making explicit how each perfect cube is a stack of hexagonal norms; (ii) the Cyclotomic Compatibility Index ICC(n, p), which quantifies the arithmetic obstruction to hᵖ = aᵖ + bᵖ having integer solutions; (iii) the Window Incompatibility Theorem, formalising why the hexagonal windows {a−1, a, a+1} and {b−1, b, b+1} can never merge into a single window {h−1, h, h+1} in Z[ω] for a, b ≥ 2; (iv) the Order Theorem for δm(n), providing a complete characterisation of prime divisibility of finite differences via multiplicative orders; (v) the Extreme Reduction Theorem (ERT), showing that the Order Filter eliminates every pair (a, b) with a ≥ 2 from the equation a³ + b³ = c³, reducing the problem to the case a = 1; (vi) the Fermatian Rigidity Index R(p), a quantitative measure of how far (aᵖ + bᵖ)^(1/p) is from an integer. All results are illustrated throughout by the single running example a = 6, b = 10, and the key number 91 = 7 × 13. Verified over 179,700 pairs with 50-digit precision: zero exceptions. This work does not claim to prove Fermat's Last Theorem, definitively established by Wiles [1].
Posted: 06 March 2026
Predictors of Workplace AI Adoption in a Norwegian Sample
Sebastian Oltedal Thorp
,Lars Morten Rimol
,Martine Klock Fleten
,Simen Kristoffer Berg Hoel
Posted: 06 March 2026
Effects of Respiratory Vaccines in Older Adults with Cardiovascular Diseases: A Scoping Review
Fernando M. Runzer-Colmenares
,Nelson Luis Cahuapaza-Gutierrez
,Cielo Cinthya Calderon-Hernandez
,Mariam Miyanay Umeres-Bravo
Posted: 06 March 2026
On Feasibility of Quantum Computation and Quantum Communication
Guang-Liang Li
Posted: 06 March 2026
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