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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

The Superhydrophobic State Is Metastable, Not Stable ── One surface holds two contact angles: at r=2.0 and f=0.30 they are 133.1602 and 143.3797 degrees ── The Young angle at which the two balance is 114.3157 degrees, and the actual 110 does not reach it ── The state that repels better is the one losing thermodynamically ── [Paper 376]

A superhydrophobic surface is described as one that repels water. This paper asks whether that state is stable──the answer is that under some conditions it is metastable, not stable. 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
#large language models Open access Sep 2026

How Much You Remember Is Decided by How You Test ── One memory, one day later: 71.70 per cent by free recall and 91.07 per cent by savings in relearning ── The gap widens with time, reaching 3.2698 after a month ── And an exponential forgetting curve predicts 10^-13 at a month, breaking down ── [Paper 378]

A forgetting curve shows memory falling with time. This paper asks what quantity is falling──the answer is a different quantity for each way of testing, giving three answers one day later. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical theorem and no new law...

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

What Sets the Amplitude of a Predator--Prey Cycle Is the Initial Condition, Not the Equation ── With the coefficients unchanged, moving the start from 13 to 30 takes the amplitude ratio from 1.0518 to 6.8463 ── There is no damping, so it never shrinks ── The equation does not answer "how large is this ecosystem's cycle" ── [Paper 373]

Predator and prey are said to rise and fall in cycles. This paper asks what sets the size of that cycle──the answer is that the initial condition sets it, not the equation. 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...

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

The Brain Uses "2 Per Cent of the Mass and 20 Per Cent of the Energy" Because What It Is Compared With Is Resting ── The brain's specific power is 14.2857 W/kg against a whole-body average of 1.4286, a ratio of 10 ── But skeletal muscle in exercise runs at 100 W/kg, seven times the brain ── The factor of 10 comes from the smallness of the denominator, not the largeness of the brain ── [Paper 382]

The brain is said to use 2 per cent of the body’s mass and 20 per cent of its energy. This paper asks where that factor of 10 comes from──the answer is not that the brain is high but that the denominator is low. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathematical...

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

The Superhydrophobic State Is Metastable, Not Stable ── One surface holds two contact angles: at r=2.0 and f=0.30 they are 133.1602 and 143.3797 degrees ── The Young angle at which the two balance is 114.3157 degrees, and the actual 110 does not reach it ── The state that repels better is the one losing thermodynamically ── [Paper 376]

A superhydrophobic surface is described as one that repels water. This paper asks whether that state is stable──the answer is that under some conditions it is metastable, not stable. 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
#large language models Open access Sep 2026

"Twice as Hot" Has Three Answers, and Only One Gives a Ratio of 2 ── Doubling 20 degrees Celsius gives 40.0000 in Celsius, 57.7778 in Fahrenheit, and 313.1500 in Kelvin ── Outside Kelvin the absolute-temperature ratio is only 1.068224 and 1.128868 ── On a scale with an arbitrary origin, multiplication carries no meaning ── [Paper 379]

Temperature is written as a number. This paper asks whether that number may be multiplied──the answer is that it depends on the scale, and only Kelvin permits it. 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──Celsius, Fahr...

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

In a Gravity Assist the Probe Speeds Up, and in the Planet's Frame Its Speed Never Changed ── Against Jupiter's orbital speed of 13.07 km/s, the gain seen from the Sun is at most 26.14 km/s ── Jupiter thereby loses 2.4310x10^-20 m/s of orbital speed ── The probe's change in speed is 1.0753x10^24 times Jupiter's ── [Paper 381]

A gravity assist is described as accelerating on a planet’s gravity. This paper asks in which frame the acceleration happened──the answer is that from the Sun it accelerated and from the planet its speed never changed. No new mathematical theorem and no new law is claimed. Scope of this paper (scope note): No new mathe...

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

"Twice as Hot" Has Three Answers, and Only One Gives a Ratio of 2 ── Doubling 20 degrees Celsius gives 40.0000 in Celsius, 57.7778 in Fahrenheit, and 313.1500 in Kelvin ── Outside Kelvin the absolute-temperature ratio is only 1.068224 and 1.128868 ── On a scale with an arbitrary origin, multiplication carries no meaning ── [Paper 379]

Temperature is written as a number. This paper asks whether that number may be multiplied──the answer is that it depends on the scale, and only Kelvin permits it. 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──Celsius, Fahr...

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

An Achromat Meets at Two Wavelengths Only ── A single lens shifts focus by 1.558361 mm with colour (1.5584 per cent of its focal length) ── Two glasses cut that to 0.044604 mm, a factor of 34.9374, but not to zero ── The cause of the residue can be named by one number: the difference in partial dispersion ── [Paper 377]

An achromatic lens is called a lens with the chromatic aberration removed. This paper asks how far it is removed──the answer is at two wavelengths only, with a third colour remaining. 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 c...

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

What Sets the Amplitude of a Predator--Prey Cycle Is the Initial Condition, Not the Equation ── With the coefficients unchanged, moving the start from 13 to 30 takes the amplitude ratio from 1.0518 to 6.8463 ── There is no damping, so it never shrinks ── The equation does not answer "how large is this ecosystem's cycle" ── [Paper 373]

Predator and prey are said to rise and fall in cycles. This paper asks what sets the size of that cycle──the answer is that the initial condition sets it, not the equation. 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...

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

"Free-Space Loss" Is Not a Loss: The Vacuum Absorbs Nothing ── 92.4478 dB at 1 km and 1 GHz; doubling the distance and doubling the frequency both add the same 6.0206 dB ── the frequency term comes not from space but from the receiving antenna, whose effective area scales as lambda^2 ── at 10 GHz that area is exactly 1/100 ── [Paper 384]

Radio waves are said to suffer a “loss” as the distance grows. This paper asks what is being lost──and the answer is that nothing is lost; what looks like loss is a fact about the receiver. No new theorem or law is claimed. Scope of this paper (scope note): No new theorem or law is claimed──the Friis transmission formu...

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

"Moore's Law Is Ending" Has Been Said for Years, but What Ended Was the Other Law ── Under Dennard scaling, halving the dimensions leaves power per area at exactly 1.0000 ── Once the voltage stops falling it becomes 4.0000 ── The count still doubles every two years, reaching 1024 in twenty, and now the power does too ── [Paper 374]

“Moore’s law is ending” has been said for a long time. This paper asks what ended──the answer is that what ended was not the law of counting but the law of power. 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──Moore’s law,...

Yuuki Yamagishi · 0 citations

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