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Author

Yuuki Yamagishi

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321 papers indexed here

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#diffusion models Open access Aug 2026

Four Pi Appears Only When the Source Is a Point ── Raise the Dimension of the Source by One and Four Pi Becomes Two Pi While One Over r Becomes a Logarithm: Sources in Living Tissue Are Often Not Points ── [Paper 258]

Paper 02 showed that a pure solid angle of four pi appears in an inverse-square field. This paper asks when that four pi does not appear; the answer is the moment the source stops being a point. Raising the dimension of the source by one alone turns four pi into two pi and turns the one-over-r fall into a logarithm. No...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Aug 2026

Separation Improves Only as the Square Root of the Length ── Doubling the Resolution Takes a Column Four Times as Long and Four Times as Much Time ── The Square Roots of Three Fields Share One Root, and Raising Selectivity Is 3.64 Times Cheaper ── [Paper 294]

Chromatographic resolution goes as R_s proportional to sqrt(N) proportional to sqrt(L). This paper asks where that square root comes from──the answer is the additivity of variance. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is clai...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Aug 2026

Four Pi Appears Only When the Source Is a Point ── Raise the Dimension of the Source by One and Four Pi Becomes Two Pi While One Over r Becomes a Logarithm: Sources in Living Tissue Are Often Not Points ── [Paper 258]

Paper 02 showed that a pure solid angle of four pi appears in an inverse-square field. This paper asks when that four pi does not appear; the answer is the moment the source stops being a point. Raising the dimension of the source by one alone turns four pi into two pi and turns the one-over-r fall into a logarithm. No...

Yuuki Yamagishi · 0 citations
#diffusion models Open access Aug 2026

The Langmuir Isotherm and the Fermi Distribution Are One and the Same Expression ── Change the Variable and the Difference Becomes 0 ── Not the Same Rhyme but the Same Root, and That Root Is "A Site Takes Only 0 or 1" ── [Paper 284]

The Langmuir adsorption isotherm of surface chemistry theta=Kp/(1+Kp), the Fermi distribution of solid-state physics f=1/1+e^(E-mu)/kT, and the Michaelis--Menten expression of enzyme kinetics v/V_max=[S]/(K_m+[S])──these three share a form. This paper asks whether that is an accidental likeness (a rhyme) or the same ro...

Yuuki Yamagishi · 0 citations
#large language models Open access Aug 2026

There Are Three Ways to Break, and Strength Does Not Decide Which ── Buckling Is Decided by Shape, Fracture by a Flaw, Yielding by the Crystal ── One Section of One Material Has a Different Limit Once Its Length Changes ── [Paper 262]

The sentence “the strength of this material is 250 MPa” does not settle when it breaks. This paper asks what does settle it──the answer is that there are three ways to break and a different thing decides each. Buckling is decided by shape, fracture by a flaw, and yielding by the crystal. No new mathematical theorem and...

Yuuki Yamagishi · 0 citations
#large language models Open access Aug 2026

The Length That Divides Gravity from Surface Tension Is Nobody's Size ── Water Gives 2.7273 mm ── Mercury Has 6.6621 Times the Surface Tension and Only 0.7009 Times the Capillary Length ── [Paper 309]

A liquid carries one length, l_c=sqrt(gamma/rho g). This paper asks whose size that length is──the answer is nobody’s. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is claimed──the Laplace pressure, Jurin’s law, the Bond number and th...

Yuuki Yamagishi · 0 citations
#small language model Open access Aug 2026

Whose Cost Is the Demon's? Five People Put It in Five Places ── Measurement, Observation, Erasure, Room: Irreversible Gates Do Not All Lose the Same Amount, AND Losing 1.188722 Bits and XOR Exactly 1.000000 ── [Paper 248]

For more than a century Maxwell's demon has been asked where the cost lies. What this paper counts is not the answer but where the cost was placed: five people put it in five different places. And once numbers are put in, the statement that an irreversible gate pays one bit turns out to be wrong as well. No new mathema...

Yuuki Yamagishi · 0 citations
#small language model Open access Aug 2026

"Conserved" Has Two Distinct Roots, and Noether Explains Only One ── Shorten the Pendulum and the Energy Rises by 2.000000 While E/omega Does Not Move ── What Separates Them Is Not Symmetry but Slowness ── [Paper 310]

This corpus has cited Noether’s theorem in 27 papers. This paper asks whether every conserved quantity comes from a symmetry──the answer is no. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law is claimed──adiabatic invariants, action var...

Yuuki Yamagishi · 0 citations
#small language model Open access Aug 2026

There Is Only One Kind of Constant You Can Ask "Has It Changed?" About ── Oklo Holds It Below 5.0x10^-18 per Year ── Six Decimal Places Beyond the Digit Eddington Argued Over ── [Paper 314]

Paper 10 established that only dimensionless numbers can be fine-tuned. This paper asks whether the same restriction applies to “has it changed”──the answer is it does. And one of them has actually been measured. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematica...

Yuuki Yamagishi · 0 citations
#small language model Open access Aug 2026

What Saturates Is Not the Earthquake but the Scale ── Measured by m_b, the 2011 Tohoku Earthquake's Energy Is Estimated at One 5623rd ── A Scale Saturates When the Source Duration Exceeds the Period It Observes ── [Paper 282]

“Magnitude” is not one thing. There are four──M_L, m_b, M_S, M_w──and all but M_w hit a ceiling for great earthquakes. This paper asks whether what hits the ceiling is the earthquake or the scale──the answer is the scale. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new ma...

Yuuki Yamagishi · 0 citations
#small language model Open access Aug 2026

One Number Sets the Limit of Forecasting ── Each Extra Day Costs 1.5874 Times the Initial Accuracy ── Observe 10 Times More Precisely and You Gain Only 4.98 Days ── [Paper 289]

That a weather forecast cannot reach beyond a certain horizon is due neither to missing equations nor to slow computers. This paper asks what sets the limit──the answer is one number, the error doubling time tau_d. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathemati...

Yuuki Yamagishi · 0 citations
#small language model Open access Aug 2026

Drude Was Right Because Two Errors Cancelled ── The Heat Capacity Too Large by 82.68 and the Squared Speed Too Small by 180.70 ── Their Product Is 2.1856, Against the Actual Discrepancy of 2.1932 ── [Paper 274]

Drude (1900) obtained the ratio of thermal to electrical conductivity in a metal from classical theory alone, and got a value close to measurement. This paper asks why he was right──the answer is not that the premises were correct. Two premises erred largely in opposite directions and very nearly cancelled on taking a...

Yuuki Yamagishi · 0 citations

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