Chao Qin

Frequency-Window Operation Semantics of a Parametrically Driven Discrete Sine-Gordon Kink

In a discretely breathing sine-Gordon chain, the fate of a moving kink is organized by three characteristic frequencies into frequency-separated operation windows: a mobility transport band (approx. 1.2-1.6 f0, persistent directed transport), a shape-mode resonance band (f approx...

Frequency-Window Operation Semantics of a Parametrically Driven Discrete Sine-Gordon Kink

In a discretely breathing sine-Gordon chain, the fate of a moving kink is organized by three characteristic frequencies into frequency-separated operation windows: a mobility transport band (approx. 1.2-1.6 f0, persistent directed transport), a shape-mode resonance band (f approx...

Density Mathematics: Numbers as Emergents of Density Clustering — Static Core (EN)

Static core of Density Mathematics: numbers as emergents of density clustering. Objects are density points P=m·p (mass × shape); operations are merge ⊕ (mass conservation) and resonance ⊗ (mass = inner product; Bayesian contraction). Axioms A1-A4 with model-based independence arg...

Density Mathematics: Numbers as Emergents of Density Clustering — Extension Volume: Dynamics Self-Production (EN)

Extension volume of Density Mathematics: dynamics self-production — the dynamics of density space is derived from the static axioms A1-A4 alone, importing no physical equation. Mass flow: the flow version of A2 uniquely forces the logarithmic potential V=k(m²/2−ln m); the 1/m wal...

Density Mathematics: Numbers as Emergents of Density Clustering — Static Core (EN)

Static core of Density Mathematics: numbers as emergents of density clustering. Objects are density points P=m·p (mass × shape); operations are merge ⊕ (mass conservation) and resonance ⊗ (mass = inner product; Bayesian contraction). Axioms A1-A4 with model-based independence arg...

The Chemical Gap Layer: Locating the Arena of Matter Coupling and Decoupling (EN)

Ontological localization of the arena of chemistry: matter couples and decouples in the gap layer. Four bond types = four forms of gap residence; reactions = gap-residence reconfiguration events; shells = the residence-depth spectrum, ionization energies its depth reading. Four q...

A From-Scratch 774M Model That Says "I Do Not Know": Native Unknown Emission and Boundary-Preserving Knowledge Refresh (v1.2)

Trained from scratch on ~4.7M programmatically generated tokens (no pretrained initialization), a 774M model emits 'unknown' as a first-class output class with held-out generalization 0.94 on novel concepts (baseline 0.65) after root-conflict adversarial training. A dual-channel...

A Field-Theoretic Reading of Transformer Probing Structure: QKV Three-Channel Division × q Two-Layer × Final-Layer Immunity

The query-key-value (QKV) three-channel architecture is the core of the attention mechanism, yet a unified reading of the functional division among these channels within the probing structure remains lacking. Using a field-theoretic framework (materials as density-clustering fiel...

Field-Theoretic Criterion for DRAM High-k Dielectrics: A Two-Dimensional Criterion Space (Soft-Mode × Bandgap) and Quantitative Doping-Pinning

DRAM capacitor dielectrics face a hard leakage×EOT scaling constraint below the 1z-nm node (IMW 2020); for 30 years industry has responded by doping-pinning the tetragonal phase of high-k dielectrics (ZrO₂/HfO₂-based) to stabilize it—yet this long-standing practice lacks a unifie...

Field-Theoretic Criterion for DRAM High-k Dielectrics: A Two-Dimensional Criterion Space (Soft-Mode × Bandgap) and Quantitative Doping-Pinning

DRAM capacitor dielectrics face a hard leakage×EOT scaling constraint below the 1z-nm node (IMW 2020); for 30 years industry has responded by doping-pinning the tetragonal phase of high-k dielectrics (ZrO₂/HfO₂-based) to stabilize it—yet this long-standing practice lacks a unifie...

The Memory Wall as Force-Ratio Imbalance: From Failure-Line Intersection to Resident Reduction Algebra

The memory wall as force-ratio imbalance (v2.0, upgraded from the PIM reduction proposal v1.0). Part I: a dimensionless force-ratio criterion R'_wall=ΣE_byte(i)/(E_FLOP×AI_i); three structural results: the wall stays two orders of magnitude across six process generations (45nm 17...

Field-Theoretic Criteria for Training Dynamics v0.2: The Two-Dimensional Criterion Layer — dL (Trajectory) and R'_eff (Resource)

Field-theoretic criteria for training dynamics v0.2 (upgrade of v0.1 dL trajectory criterion). Two-dimensional criterion layer: (1) dL trajectory dimension (retained from v0.1: spectral criterion a<2/lmax identical to SGD condition lr<2/L; toy 5/5 four-decimal match; GPT-2 124M e...

The Memory Wall as Force-Ratio Imbalance: From Failure-Line Intersection to Resident Reduction Algebra

The memory wall as force-ratio imbalance (v2.0, upgraded from the PIM reduction proposal v1.0). Part I: a dimensionless force-ratio criterion R'_wall=ΣE_byte(i)/(E_FLOP×AI_i); three structural results: the wall stays two orders of magnitude across six process generations (45nm 17...

Field-Thermodynamics Unified Framework: R' Equivalence Proof and the Dutta-Horn Mechanism of 1/f Noise

The field theory system comprises five core papers sharing a central physical quantity R', but with two distinct R' definitions, three sets of conflicting critical values, and two unresolved mathematical problems in the CMB-biological coupling mechanism. This paper establishes th...

Cosmic Microwave Background as the Sole Possible Source of 1/f Baseline Noise in Biological Systems: An Impossibility Argument and Cross-Kingdom Verification (v1.1)

v1.1 revision: all statements regarding the cosmological origin of the CMB (cosmic age/inflation/Big Bang) removed; only observational properties retained (2.725 K, 1/f spectrum beta=0.96, isotropy, persistence). The origin of the CMB has not been rigorously proven; no unproven e...

Harmonic Observation Theory: Statistical Evidence and Open Questions for Thermodynamic Proximity Ratio R' as an Electronic-Ionic Polarization Probe

This study proposes the Harmonic Observation Theory framework, treating multi-technique observation data of materials as a unified harmonic response spectrum. Part I presents statistical evidence from a 415,823-record harmonic observation database across 7 sources, finding that R...

Cross-Scale Statistical Tests of Orbital Period-Ratio Structure: Narrow-Band Excess, Satellite-System Lattice Specificity, and Host Independence

Cross-scale statistical tests of orbital period-ratio structure: narrow-band excess, satellite-system lattice specificity, and host independence. v1.2 journal-ready version (2026-08-04): abstract compressed to MNRAS limit, 27 references DOI-verified via Crossref, LaTeX typeset (m...

Cross-Scale Statistical Tests of Orbital Period-Ratio Structure: Narrow-Band Excess, Satellite-System Lattice Specificity, and Host Independence

Abstract: Kepler multi-planet systems exhibit resonance excess in adjacent period ratios (Lissauer et al. 2011; Fabrycky et al. 2014) and peas-in-a-pod log-uniform architectures (Weiss et al. 2018). We analyze orbital period-ratio structure at two scales with a unified methodolog...

Derivation of the Gravitational Constant: G = omega^2/(8*pi*rho)

The gravitational constant G (6.674e-11 m^3 kg^-1 s^-2) is a measured constant in mainstream physics with no first-principles derivation. From energy-field axioms: matter = gaps (void structures) in the energy field; gaps are oscillating cavities (existence = fluctuation residenc...

Mechanism Derivation of Deep-MOND: Rotation Curves, Tully-Fisher Relation and the Cosmic Anchor a0

Flat galaxy rotation curves and the Tully-Fisher relation (v^4 proportional to M, exponent 3.94 +/- 0.07) are the two most robust galactic-dynamics observations. This paper derives, from the energy-field framework: (1) the precise form of the MOND characteristic acceleration a0 =...