Institute of Computing Technology

A Complete Proof of the Riemann Hypothesis Based on CY₃ Manifold Vortex Topology and ℤ₁₂₀ Modular Cohomology (PDSM-NT Primitive Vortex Number Theory)

Abstract As a core millennium problem in number theory, the Riemann Hypothesis has long been constrained within the frameworks of complex analysis, number-theoretic statistics, and random matrix spectral fitting, failing to achieve an axiom-level rigorous proof. Based on the self...

Single-frame vehicle trajectory prediction via neural ODE-based motion-state forecasting

Accurate short-horizon vehicle trajectory prediction is critical for autonomous driving and vehicle-to-everything (V2X) communication. Most existing deep learning-based prediction methods rely on fixed-length historical trajectories and multi-agent context, which may be unavailab...

The Geometric Essence of Riemann Zero-Point Distribution: Based on the PDSM‑NT Primordial Vortex Number Theory

The zero-point distribution problem of the Riemann ζ-function serves as the cornerstone of modern analytic number theory, and the Riemann Hypothesis (RH) is a century-old core puzzle spanning mathematics, physics, and cryptography. Classical research frameworks adopt complex anal...

PDSM-NT Primordial Vortex Number Theory — The Octa-Ridge Ring Topological Structure Theory of Primes

Abstract: This paper establishes a novel unified system of number theory and geometry, namely the PDSM-NT Primordial Vortex Number Theory. Abandoning the traditional one-dimensional number line paradigm for prime research, this theory breaks the inherent limitations of elementary...

PDSM-NT Primordial Vortex Number Theory — The Octa-Ridge Ring Topological Structure Theory of Primes

Abstract: This paper establishes a novel unified system of number theory and geometry, namely the PDSM-NT Primordial Vortex Number Theory. Abandoning the traditional one-dimensional number line paradigm for prime research, this theory breaks the inherent limitations of elementary...

A Rigorous Proof of the Riemann Hypothesis Based on the Prime Octahedral Spiral Topology and Π-Spinal Topological Field Theory

Abstract: The Riemann Hypothesis (RH) is a core fundamental problem in modern analytic number theory and is officially listed as one of the seven Millennium Prize Problems by the Clay Mathematics Institute (CMI). It essentially governs the intrinsic correlation between the non-tr...

A Rigorous Proof of the Riemann Hypothesis Based on the Prime Octahedral Spiral Topology and Π-Spinal Topological Field Theory

Abstract: The Riemann Hypothesis (RH) is a core fundamental problem in modern analytic number theory and is officially listed as one of the seven Millennium Prize Problems by the Clay Mathematics Institute (CMI). It essentially governs the intrinsic correlation between the non-tr...

PDSM Vortex Field Conjecture on Geometric Emergence of Primes: Impossibility in Infinite Domain and Well-Posedness in Finite Domain

Abstract The long-standing dichotomy between discrete number theory and continuous differential geometry constitutes the core academic bottleneck restricting the research on prime distribution mechanisms. To break through this theoretical dilemma, this paper constructs an origina...

A Rigorous Proof of the Riemann Hypothesis Based on Primitive Vortex Geometry (PDSM)

The Riemann Hypothesis remains a core unsolved problem in analytic number theory spanning over 160 years. Classical complex analysis only establishes algebraic symmetric relations for the zeta function but fails to constrain zero-point positions from thegeometric essence. This pa...

Multi-Axle Reference and Temporal-Consistency Deep SVDD for EMU Traction Motor Bearing Anomaly Detection Using Field Vibration Data

Field vibration monitoring of EMU traction motor bearings is commonly constrained by weak or relative labels, fluctuations in operating conditions, and limited abnormal samples. Under these conditions, learning a normal boundary from a single bearing position may be unstable, and...

Deep Topological Correlation Between π Ripple Scale, π Decimal Embedded Primes and Prime Gaps (Original PDSM Mechanism)

For more than a century, classical analytic number theory has adhered to the core premise of the random distribution of prime numbers, and the Riemann zeta function system and traditional sieve methods can only realize statistical fitting and approximate estimation of prime distr...

Prime-Pi Dual-State Mathematics: Prime Conch Topology and Bidirectional Vortex Resonance Singularity Cluster Research

Based on the original theoretical framework of Prime-Pi Dual-State Mathematics, this paper proposes the intrinsic free-angle mapping rule for natural numbers and constructs an eight-ridge helical geometric structure constrained by prime residue classes modulo 30. The model define...

Prime-Pi Dual-State Mathematics: Prime Conch Topology and Bidirectional Vortex Resonance Singularity Cluster Research

Based on the original theoretical framework of Prime-Pi Dual-State Mathematics, this paper proposes the intrinsic free-angle mapping rule for natural numbers and constructs an eight-ridge helical geometric structure constrained by prime residue classes modulo 30. The model define...