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Small Lab, Infinite Structure. / Exploring the Hidden Structures of a Torus-Shaped Universe.

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Month: August 2026

[Paper 1] The Uniqueness Theorem of $n = 2$ for Spherically Symmetric Density Distributions

2026年8月25日2026年8月25日 yuuki

In 3D Euclidean space R³, we prove that the necessary and sufficient condition for the spherical-shell mass growth rate dm/dr of a spherically symmetr

Papers

[Paper 173] Kodaira’s Fence Is Integrality, Not Positivity

2026年8月25日2026年8月25日 yuuki

The condition being paid is not size and not smoothness but being an integer.

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[Paper 171] The Fence around Least Squares Is Linearity, Not Normality

2026年8月25日2026年8月25日 yuuki

When told that nothing has been assumed, look for the assumption that was not written down.

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[Paper 170] Cancelling the Differentials Gives $-1$, Not $+1$

2026年8月25日2026年8月25日 yuuki

A notation moves no theorem, and it does move which mistake looks natural.

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[Paper 168] What Lebesgue Bought Was Not a Bigger Class but Closure under Limits

2026年8月25日2026年8月25日 yuuki

One word, six integrals – and Lebesgue does not contain improper Riemann.

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[Paper 167] Uniformization Gives Not One Shape but One Model and One Parameter

2026年8月25日2026年8月25日 yuuki

A split into three is not a statement of topology – the plane and the disk are homeomorphic.

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[Paper 165] There Are Three Equivalence Principles

2026年8月25日2026年8月25日 yuuki

The single phrase equivalence principle names three claims that differ in what they assume and in how they are tested.

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[Paper 164] Probability Has Four Addresses

2026年8月25日2026年8月25日 yuuki

Probability has four addresses – sharing the axioms does not mean sharing the answers.

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[Paper 163] “A Good Code Exists” and “Here Is a Good Code” Are Different Sentences

2026年8月25日2026年8月25日 yuuki

A good code exists and here is a good code are different sentences – some sixty years lay between them.

Papers

[Paper 162] The Whole Can Be Better Known Than Its Parts

2026年8月25日2026年8月25日 yuuki

There are states about which the whole is completely known and the parts are not known at all.

Papers

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■ 最新記事 (全ジャンル)

  • [Paper 174] Whose Singularity Is It?
  • [Paper 172] Zeros Do Not Determine a Function
  • [Paper 169] Sciama’s Famous Coincidence Is an Identity
  • [Paper 166] The Definition Divides $d$ by $p$; the Theorem Divides $p$ by the Discriminant
  • [Paper 161] A Fixed Point Is Not One Theorem

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