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Author

Yuuki Yamagishi

321 papers indexed here

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#small language model Open access Aug 2026

"Forbidden" Means "Slower by a Factor of 7.62x10^7" ── Hydrogen's 2s->1s Does Not Fail to Happen; It Takes 0.1216 Seconds ── The 21 cm Line Takes 11 Million Years, Yet 10^60 Atoms Emit 2.9x10^45 Photons a Second ── [Paper 285]

A selection rule is written as “this transition is forbidden.”Yet forbidden transitions are actually observed. This paper asks what “forbidden” means as a number──the answer is a matter of rate. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no n...

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
#explainable ai Open access Aug 2026

One Sea Holds Three Lengths, Spanning a Factor of 4.39x10^4 ── All Contain the Coriolis Parameter, and Nothing Else in Them Overlaps ── The Bathtub Vortex Has Rossby Number 3232, and Seeing Rotation There Needs Flow Below 0.031 mm/s ── [Paper 291]

A rotating ocean has several characteristic lengths. Each is called “the length set by Coriolis.”This paper asks whether they are the same thing──the answer is that they are different things. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new...

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

"Forbidden" Means "Slower by a Factor of 7.62x10^7" ── Hydrogen's 2s->1s Does Not Fail to Happen; It Takes 0.1216 Seconds ── The 21 cm Line Takes 11 Million Years, Yet 10^60 Atoms Emit 2.9x10^45 Photons a Second ── [Paper 285]

A selection rule is written as “this transition is forbidden.”Yet forbidden transitions are actually observed. This paper asks what “forbidden” means as a number──the answer is a matter of rate. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no n...

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

Only the Logarithm Adds ── +50% Followed by -50% Is Not 0% but -25% ── Repeating +/-10% Fifty Times Each Gives -39.50%, While the Naive Sum Answers 0% ── [Paper 292]

A “rate of return” looks like a quantity that can be added. This paper asks which way of writing it can──the answer is the log return alone. 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 relation between simple and log...

Yuuki Yamagishi · 0 citations
#explainable ai 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
#explainable ai Open access Aug 2026

One Sea Holds Three Lengths, Spanning a Factor of 4.39x10^4 ── All Contain the Coriolis Parameter, and Nothing Else in Them Overlaps ── The Bathtub Vortex Has Rossby Number 3232, and Seeing Rotation There Needs Flow Below 0.031 mm/s ── [Paper 291]

A rotating ocean has several characteristic lengths. Each is called “the length set by Coriolis.”This paper asks whether they are the same thing──the answer is that they are different things. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new...

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

"Capacity" Is a Number Attainable Only at Infinite Length ── At Blocklength 100 Only 41.68% of the Capacity Is Usable, and Reaching 99.99% Takes 3.4x10^9 ── C Is a Supremum, Not a Maximum ── [Paper 304]

Shannon’s coding theorem says that below the channel capacity C the error can be made arbitrarily small. This paper asks whether C itself is attainable──the answer is not at any finite blocklength. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and n...

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
#explainable ai 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

What Changed the Exponent of a Chain Was Self-Avoidance Alone, and above Four Dimensions That Cost Disappears ── An Error of 2.11% in the Exponent Becomes 29.33% in the Length at N=10^9 ── And 2+2=4 Empties Avoidance of Its Meaning ── [Paper 279]

The spread of a polymer chain is fixed by a power of the number of units N. For a Gaussian chain it is N^1/2, and for a self-avoiding chain N^0.588. This paper asks where that difference comes from and where it disappears──the answer is the count 2+2=4. No new mathematical theorem and no new law is claimed. Scope of th...

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

Only the Logarithm Adds ── +50% Followed by -50% Is Not 0% but -25% ── Repeating +/-10% Fifty Times Each Gives -39.50%, While the Naive Sum Answers 0% ── [Paper 292]

A “rate of return” looks like a quantity that can be added. This paper asks which way of writing it can──the answer is the log return alone. 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 relation between simple and log...

Yuuki Yamagishi · 0 citations

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