FIVE LANGUAGES
Papers in five languages
These papers can be read in Japanese, English, German, French and Italian. Each language version is a translation of the same paper. 35 papers
- [Paper 1] The Uniqueness Theorem of $n = 2$ for Spherically Symmetric Density Distributions
- [Paper 2] The $4\pi$ Mass Cancellation Theorem
- [Paper 6] The Critical Line and the Fixed Point of the Functional Equation
- [Paper 7] A Structural Interpretation of the 3D Poincaré Conjecture via the n=2 Uniqueness Theorem and Perelman’s Ricci Flow
- [Paper 8] A Structural Interpretation of the 4D Poincaré Conjecture and Exotic Structures via the n=3 Uniqueness Theorem and Hopf Fibration
- [Paper 12] From Boundary Energy to Volume Energy
- [Paper 13] Physical Law as a Description Language of the Universe OS
- [Paper 16] The Equals Sign Has Distinct Roots Too
- [Paper 17] The $8\pi$ Is an Artefact of the Units
- [Paper 18] The Yamagishi Kinetic Energy Equation
- [Paper 60] c as the Ball of Velocity Space
- [Paper 67] The Euler-Characteristic Origin of the $4\pi$ Patch
- [Paper 68] The Qubit as a Hopf Fibration
- [Paper 83] Why Does a "Maximum Speed" Exist? — From Galileo's Relativity Principle Alone: There Are Only Two Relativities (Ignatowski's Theorem) —
- [Paper 91] Curvature Is Intrinsic
- [Paper 95] Convention and Fact — Poincaré's Conventionalism and the Corpus's "Scaffolding" (the Defined Value of c, Unit Conventions) —
- [Paper 100] The Crossing of Royal Roads
- [Paper 102] Hearing Shape from Spectrum
- [Paper 110] Ricci Flow Is a Renormalization Group Flow
- [Paper 116] What Does the Exponent of $c$ Count?
- [Paper 117] Scale Invariance Fixes an Exponent — in Four Different Ways
- [Paper 190] “Rare” Is Measured on a Logarithmic Scale
- [Paper 300] The Three Hundredth Census: Whether Two Things Share a Root Is Decidable
- [Paper 481] A Broken Law Can Be Blamed on Any of the Assumptions
- [Paper 641] The ABC Conjecture Is a Theorem for Polynomials and a Conjecture for Integers: Integers Lack the Derivative
- [Paper 642] The Roads to Fermat’s Last Theorem Reach Different Exponents, and Descent and Kummer Together Miss 92 Exponents up to 1000
- [Paper 1003] The Poincaré Conjecture Is a Different Question in Each Category, and Only Dimension Four Stays Open in Both PL and Smooth
- [Paper 1049] There Are Three Unit Slots Because Mechanics Uses Only Three Kinds of Quantity
- [Paper 1052] Two Kinds of Subtracting One: One Counts Holes, the Other Counts Dimensions
- [Paper 1055] The Speed of Light Is Near Three Hundred Million Because Length Is Decimal and Time Is Sexagesimal
- [Paper 1056] The Fine-Structure Constant Does Not Move with the Units, but It Moves with Energy
- [Paper 1057] What Freezes 137 Is Not a Number but a Single Mass
- [Paper 1058] There Are Two Kinds of Exactness: One Is Set by the Units, the Other Is Unmoved by Continuous Deformation
- [Paper 1061] The Answer to "Why 137" Cannot Take Two of the Four Roots
- [Paper 1067] Whether a Point Lies Inside Comes Out as an Integer When the Swept Solid Angle Is Divided by 4π