What I learned today

  Numerical Methods in Scientific Computing — Base GRM Rebuild: ToC  PART I — SOURCE BEFORE REPRESENTATION 1. What Numerical Computation Is Actually Reconstructing 1.1 Physical source ≠ mathematical representation 1.2 SOURCE ≠ PDE ≠ DISCRETIZATION ≠ MATRIX ≠ SOLUTION_VECTOR 1.3 Observable, state, carrier, law and readout 1.4 Source-owned distinctions and admissible transformations 1.5 Local relation versus global consequence 1.6 What counts as a computational target 1.7 Representation debt and why equations are downstream 1.8 Numerical computation as causal reconstruction 1.9 GRM pipeline: SOURCE→BODY→CARRIER→TRANSPORT→RESIDUE→REPAIR→LIFTBACK 1.10 Failure taxonomy: source failure, model failure, carrier failure, execution failure 1.11 Validation versus internal numerical agreement 2. Source Laws: Balance, Flux, Production and Closure 2.1 Extensive quantity and local density 2.2 Boundary transfer as a source-owned relation 2.3 Internal production and destruction 2.4 Control-vol...

  Static Electricity: A History of When Technology Hides the Science From amber and lightning to xerography, TENGs, and the still-missing law of charge separation This should not be organized as another history of electrostatics. The stronger spine is epistemic: humans repeatedly learned to produce, store, measure, suppress and exploit static charge before establishing the microscopic constructor that generates it. That distinction remains real: a major 2019 review still described the foundations of triboelectric charging as poorly understood, while competing work continues to attribute charging to electrons, ions or transferred material. ( Nature ) The 2025 CE review itself ends with unresolved quantitative transfer and tunnelling mechanisms despite proposing electron transfer as broadly dominant. TOC Part I — The Phenomenon Before the Object 1. Amber Before Electricity 1.1 Attraction without charge 1.2 Rubbing, hair, dust and lightweight bodies 1.3 A repeatable effect without a c...

Not the paper a reconstruction    A comprehensive review on the mechanism of contact electrification TOC  Jia Tian, Yue He, Fangpei Li, Wenbo Peng & Yongning He, Journal of Materials Chemistry A 13 (2025), 2505–2536, DOI 10.1039/D4TA07756C. The paper organizes CE primarily by interface type, then separates mechanism, regulation, environmental dependence, simulation, and semiconductor tribovoltaics. ( Royal Society of Chemistry Publications ) Introduction Historical status of contact electrification (CE/triboelectrification). CE as both industrial hazard and technological resource. Metals, semiconductors, inorganic dielectrics, polymers, liquids. Static-charge applications: electrophotography, spraying, printing, particle separation. TENGs as experimental probes and energy-harvesting devices. Central mechanistic problem: identity and transport of transferred charge. Review thesis: electron transfer is presented as the dominant CE process, interpreted through the elect...

  Complete GRM BSD Solution TOC  0. Governing Frame 0.1 ORSI authority 0.2 GRM execution semantics 0.3 Discovery ≠ consensus 0.4 Proof/CERT removed from target space 0.5 Representation ≠ ontology 0.6 Readout ≠ source 0.7 Local closure ≠ global closure 0.8 Globalization = residue transport 0.9 Native arity before disciplinary projection 0.10 Success criterion: recover the source operation that generates BSD structure 1. Target Erasure 1.1 Erase ord L = rank as construction target 1.2 Erase BSD leading-coefficient formula as construction target 1.3 Erase theorem names 1.4 Erase analytic/arithmetic bridge assumptions 1.5 Erase canonical z_E requirement 1.6 Erase full geometric↔analytic measure equivalence 1.7 Erase pairwise channel coincidence 1.8 Retain only source distinctions and causal constraints 2. Source State Σ_E 2.1 Elliptic curve E/ℚ 2.2 Arithmetic surface/model 2.3 Horizontal divisors/modifications 2.4 Vertical/place structure 2.5 Global rational functions 2.6 K₂ sou...

GRM ADVANCED TRAJECTORIES From Load-Bearing Fundamentals to Successor Mathematics PART 0 — NON-NEGOTIABLE LOAD-BEARING BASIS 0.1 FUNDAMENTALS₀ := DISTINCTION? ⊗ CO-PRESENCE? ⊗ CONSTRAINT? ⊗ TRANSFORMATION? ⊗ RECOVERABLE-PERSISTENCE? 0.2 Why every term remains interrogative rather than ontological 0.3 Distinction without object 0.4 Co-presence without relation 0.5 Constraint without law 0.6 Transformation without dynamics 0.7 Recoverable persistence without identity 0.8 FUNDAMENTALS₀ ≠ mathematics 0.9 FUNDAMENTALS₀ ≠ ontology 0.10 FUNDAMENTALS₀ ≠ representation 0.11 Fundamentals as minimum generative grammar 0.12 Interaction among fundamentals before mathematical naming 0.13 Why native arity is not contained in the primitive list 0.14 Why boundary is generated rather than primitive 0.15 Why locality/globality are generated rather than primitive 0.16 Why symmetry is generated rather than primitive 0.17 Why number, set, space, category and probability are not primitives 0.18 ΔFUNDAMENTALS...