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Author

Yuuki Yamagishi

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321 papers indexed here

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#large language models Open access Sep 2026

Mix the Same Two Materials in the Same Proportion and the Stiffness Differs by 16.93 ── Only the Direction Decides ── And the Ratio of Bound to Bound Has a Closed Form, Exactly Symmetric in v_f and 1-v_f, Maximal at v_f=0.5 with the Value (1)/(2)+(1)/(4)(E_f/E_m+E_m/E_f)=16.932376 ── [Paper 342]

Mix carbon fibre and epoxy half and half. This paper asks what the stiffness of that composite is──the answer is that it is not one number but a range of 16.932376. 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 Voigt (...

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

Strength Is a Function of Volume, Not a Constant of the Material ── Multiply the Volume by 1000 and a Material of Scatter m=2 Falls to 0.0316 of Its Strength ── The Volume Factor That Halves the Strength Is Exactly 2^m: 4 at m=2 and 1048576 at m=20 ── [Paper 344]

The strength of a material appears in handbooks as one number. This paper asks what number that is──the answer is a number that means nothing unless the specimen volume is written beside it. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new l...

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

Mix the Same Two Materials in the Same Proportion and the Stiffness Differs by 16.93 ── Only the Direction Decides ── And the Ratio of Bound to Bound Has a Closed Form, Exactly Symmetric in v_f and 1-v_f, Maximal at v_f=0.5 with the Value (1)/(2)+(1)/(4)(E_f/E_m+E_m/E_f)=16.932376 ── [Paper 342]

Mix carbon fibre and epoxy half and half. This paper asks what the stiffness of that composite is──the answer is that it is not one number but a range of 16.932376. 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 Voigt (...

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

The Number 32768 Inside a Wristwatch Was Not Chosen by Physics ── It Is 2^15 ── Fifteen Stages of Division Give Exactly 1 Hz, While 32000 Hz Leaves a Remainder of 125 ── Keeping to One Second a Day Demands 11.5741 ppm ── [Paper 336]

Almost every wristwatch contains a crystal vibrating at 32768 Hz. This paper asks what fixed that number──the answer is not the physics of quartz but divisibility in binary. 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──tu...

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

Area, a Continuous Quantity, Comes Out Exactly from Counting Two Kinds of Points ── Interior Points Count 1, Boundary Points 1/2, and Then -1 ── That -1 Is Not the Shape but One Full Turn ── In Three Dimensions the Volume Grows Tenfold While the Point Count Stays at 4 ── [Paper 331]

The area of a polygon whose vertices sit on lattice points comes out exactly from counting points. This paper asks why a count can produce a continuous quantity──the answer is that the three terms on the right count three different things. No new mathematical theorem and no new law is claimed. Scope of this paper (scop...

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

Nothing Outran Light; the Light Had Been Slowed ── In Water the Threshold Is 0.2618 MeV and the Maximum Angle 41.3934 Degrees, While in Air the Threshold Is 78.6945 Times Higher ── What Is Exceeded Is c/n and Not c ── [Paper 332]

The water of a reactor glows blue. A charged particle, it is said, has travelled “faster than light”. This paper asks which speed is the one exceeded──the answer is the phase velocity c/n, and not the vacuum speed of light c. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No ne...

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

The Length That Sets How Thick an Atmosphere Is Also Sets Whether It Stays ── Earth's Scale Height Is 7.319 km, 0.1149% of the Radius ── The Number Deciding Escape Is the Reciprocal of That Ratio ── [Paper 321]

An atmosphere has one length in it, H=kT/(mg). This paper asks what that length decides──the answer is both the thickness and whether the atmosphere stays. 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──scale height, the is...

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

That the Same Ellipse Was Three Months Out Was the Evidence of a Different Cause ── Aberration Is 20.49552 Arcseconds Whatever the Distance, While Parallax Goes as Its Reciprocal ── A Factor of 26.6442 at Proxima and 20495 at a Kiloparsec ── [Paper 328]

Over a year a star traces a small ellipse on the sky. This paper asks whether that ellipse is one thing──the answer is that there are two, and they are told apart by phase. 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──abe...

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

Two Curves Agree to Within 0.083 Per Cent and Are Not the Same Curve ── What Divides the Catenary from the Parabola Is Not Shape but Which Length the Load Is Counted Along ── [Paper 327]

A hanging chain and a suspension-bridge cable cannot be told apart by eye. This paper asks what divides them──the answer is not the shape, but which length the load is counted along. 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 cl...

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

The Length That Sets How Thick an Atmosphere Is Also Sets Whether It Stays ── Earth's Scale Height Is 7.319 km, 0.1149% of the Radius ── The Number Deciding Escape Is the Reciprocal of That Ratio ── [Paper 321]

An atmosphere has one length in it, H=kT/(mg). This paper asks what that length decides──the answer is both the thickness and whether the atmosphere stays. 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──scale height, the is...

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

That the Same Ellipse Was Three Months Out Was the Evidence of a Different Cause ── Aberration Is 20.49552 Arcseconds Whatever the Distance, While Parallax Goes as Its Reciprocal ── A Factor of 26.6442 at Proxima and 20495 at a Kiloparsec ── [Paper 328]

Over a year a star traces a small ellipse on the sky. This paper asks whether that ellipse is one thing──the answer is that there are two, and they are told apart by phase. 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──abe...

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

Two Curves Agree to Within 0.083 Per Cent and Are Not the Same Curve ── What Divides the Catenary from the Parabola Is Not Shape but Which Length the Load Is Counted Along ── [Paper 327]

A hanging chain and a suspension-bridge cable cannot be told apart by eye. This paper asks what divides them──the answer is not the shape, but which length the load is counted along. 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 cl...

Yuuki Yamagishi · 0 citations

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