Chao Qin

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...

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 =...

Field-Universe Cosmological Model: A Complete Chain from Axioms to Observations

The Field Theory System (energy-field universe) derives, from four axioms (E primary -> boundary = grad-E residence -> force ratio R' -> fluctuation capacity C) combined with the hypothesis 'matter = gaps in the energy field', a quantitative derivation chain for core cosmological...

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 =...

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 =...

Field-Universe Cosmological Model: A Complete Chain from Axioms to Observations

The Field Theory System (energy-field universe) derives, from four axioms (E primary -> boundary = grad-E residence -> force ratio R' -> fluctuation capacity C) combined with the hypothesis 'matter = gaps in the energy field', a quantitative derivation chain for core cosmological...

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...

Field-Universe Cosmological Model: A Complete Chain from Axioms to Observations

The Field Theory System (energy-field universe) derives, from four axioms (E primary -> boundary = grad-E residence -> force ratio R' -> fluctuation capacity C) combined with the hypothesis 'matter = gaps in the energy field', a quantitative derivation chain for core cosmological...

Density Clustering Matrix: Standard Matrix as the δ-Aligned Subspace Special Case

Field Domain Mathematics posits that numbers are density clusterings in space. This paper defines the Density Clustering Matrix with elements as density clustering points, addition as Merge and multiplication as Resonance. Key finding: standard matrix is an exact special case on...