# wakaru_all ── The "Wakaru" Series Collection

**🌐 [日本語](README.md) ｜ English**

The **canonical originals** of "Wakaru" ("It Clicks") — a reading series for physics-loving high-schoolers and undergraduates. Every series is managed here from now on. Each episode is a self-contained HTML page (serif type + MathJax + live canvas figures + print/PDF ready; the only external dependency is the MathJax CDN).

## 🌐 Published site (read in your browser)

**➡ https://yomei-o.github.io/wakaru_all/**

> On GitHub's file pages (github.com/…) the HTML shows up as **source**. To **actually read it and play with the live figures**, open the published site (GitHub Pages) above. The links in the tables below also point to the published (rendered) site.

## Series (English editions)

| Series | About | Read (published site) |
|---|---|---|
| **c·t = const, That Clicks**〔*sequel to Conformal Transformations That Click*〕| On its own \(c\cdot t=\text{const}\) says nothing — it can be realised in any universe — which is exactly why it can be substituted into every equation there is. A notation for writing cosmology as short as it will go, with the shortness measured in bits. **50 episodes in 6 parts, complete.** **Part I**: divide memory by operations and the equation of state falls out · two logarithmic clocks, 140 and 73, divide to give the expansion law · erase everything erasable and **only a single mass is left** · what shortness costs (BIC 5.37 bits, misfit 154). **Part II**: gravity, quantum mechanics, the atom, heat and information, light, the vacuum, fluids, phase transitions, chemistry and biology — **only "size" is touched; "shape" is out of reach**. **Part III**: the horizon problem as distributed consensus · holography as addressing (one bit ↔ 1.96 fm) · sorting identity, coincidence and physics by surprise in bits · **\(C\cdot t=N\), exactly one memory pass per Hubble time** · the wrap-up compresses 24 headline numbers into 12 inputs. **Part IV**: inflation, VSL, MOND, measuring the constants, CCC, the cosmon, Milne, conformal gravity and asymptotic safety on one operating table — **only VSL failed to separate (A) notation from (B) an observable claim**, every prediction sat in a dimensionless quantity, and six coincidences cluster in a 4-to-7-bit band (a selection effect). **Part V**: quantum anomalies (the breaking sits 28.7 bits above the noise) · the conformal factor problem (**the ghost never disappears; it only moves**) · Kerr (\(\chi\le1\) is in the untouchable column) · gravitational entropy (**three \(10^{122}\)s are one number**) · the Weyl curvature hypothesis (**the arrow of time is written in the half the tool cannot touch**) · the black hole interior · the Planck scale (a smallest length is excluded by hypothesis) · discretisation (**the demand was never "no scale", only "no scale left in the answer"**) · the wrap-up (**it touches exactly half the curvature**). **Part VI, the finale**: twelve ways of saying \(a\propto t\) come from three inputs · **the 2019 SI officially declared that dimensionful is bookkeeping** (\(c\) can be decreed, \(\alpha\) cannot) · beauty was a choice of prior, not a third currency · sixteen open doors in four kinds (four in ten cannot be closed by data) · **the finale: only one thing moves** (50 episodes → 6 tools → 2 ideas → 1). Every number was computed and run in 53 verification scripts | [open](https://yomei-o.github.io/wakaru_all/wakaru-ct-en/index.html) |
| **Conformal Transformations That Click**〔*sequel to Cosmology That Clicks*〕| Rewriting the universe with the one operation that swaps your ruler point by point. Weyl 1918 and Einstein's objection (gauge once meant a ruler's calibration) · maybe atoms are shrinking rather than space expanding · **what "light slowing down" actually is** (Weyl-transform c·t=const and it is the same metric read in cosmic time) · gravity becomes a single scalar (the dilaton) · the equation of state was a potential, V∝φ^(1−3w), with c·t=const exactly a mass term · is the singularity a coordinate artefact (only half) · light is conformally invariant, mass is not (Penrose's CCC) · quantum mechanics breaks conformal symmetry (the trace anomaly = a running coupling; 99% of your body weight) · the conformal factor was a ghost · which frame is the real one. The previous series' motto — units are bookkeeping, dimensionless is physics — becomes a **decision procedure** (10 episodes, complete + 1 bonus: "what happens if you run it at face value", the verdict from nucleosynthesis) | [open](https://yomei-o.github.io/wakaru_all/wakaru-kyokei-en/index.html) |
| **Cosmology That Clicks** | Read the universe through the speed of light, the fine-structure constant, and gauge symmetry | [open](https://yomei-o.github.io/wakaru_all/wakaru-uchuron-en/index.html) |
| **Relativity That Clicks** | Divide everything by c. β · γ · spacetime interval · E=mc² · simultaneity · gravity = curvature · variable-c ≡ curvature (7 episodes, complete) | [open](https://yomei-o.github.io/wakaru_all/wakaru-soutai-en/index.html) |
| **Quantum That Clicks** | The story of ℏ. S/ℏ separates classical from quantum: grain & wave, wave function, sum over paths, Schrödinger, uncertainty, measurement (6 episodes + bonus, complete) | [open](https://yomei-o.github.io/wakaru_all/wakaru-ryoushi-en/index.html) |
| **Fields That Click** | Why forces travel at the speed of light. Reading fields as "dimensionless ratios" (8 episodes, complete) | [open](https://yomei-o.github.io/wakaru_all/wakaru-ba-en/index.html) |
| **Black Holes That Click** | The diagonal of the cube (c · ℏ · G), read through information and bits: horizon · entropy = bit count · Hawking temperature · fastest computer · holography · information paradox (6 episodes + 2 bonus, complete) | [open](https://yomei-o.github.io/wakaru_all/wakaru-blackhole-en/index.html) |
| **Renormalization That Clicks** | Why the world still works when you throw things away: coarse-graining · phase vs. decay · decoherence · universality and the renormalization group · where it breaks · the hierarchy problem · resolution as a dimension (7 episodes + 6 bonus, complete; the bonuses reach into statistics, information theory and machine learning, and link back to the cosmology and universe-as-computer series) | [open](https://yomei-o.github.io/wakaru_all/wakaru-kurikomi-en/index.html) |
| **Temperature That Clicks** | Temperature is not a property of matter; k_B is an exchange rate. How energy is shared out · heat as untracked motion · the fluctuation theorem · negative temperature · the period in imaginary time · the Unruh effect (7 episodes + 1 bonus, complete; the bonus collapses Unruh, Hawking and the cosmological horizon into one line) | [open](https://yomei-o.github.io/wakaru_all/wakaru-ondo-en/index.html) |
| **Tunneling That Clicks** | Getting to the far side of a wall without going over it: walking in imaginary time · why the Sun burns · climb over or slip through · the Josephson effect · superconductivity is not tunneling · what perturbation theory cannot see · vacuum decay (7 episodes + 7 bonus, complete; the bonuses compute a verdict on cold fusion, cover muon catalysis, why a single atom is visible, the unresolved tunneling time, quantum biology sorted, thirty years of room-temperature superconductivity, and instantons as spacetime geometry) | [open](https://yomei-o.github.io/wakaru_all/wakaru-surinuke-en/index.html) |
| **Refraction That Clicks** | Refraction slows light down, so why is the speed of light still invariant? What slows is the wave, not the photon · there are two light cones (the effective metric) · the phase velocity exceeds c · reflection comes from mismatch, and total internal reflection is tunneling · refraction and absorption are one complex function glued by causality · stopping light · what you see is a map of refractive index (7 episodes, complete) | [open](https://yomei-o.github.io/wakaru_all/wakaru-kussetsu-en/index.html) |
| **The Lattice We Build**〔*the build side*〕| The one series that does not explain but **builds**. Put a tool in the blank space and run it: enumerate all 162,931 dimensionless ratios and measure that only coincidence comes out (p = 0.67) → make spacetime a lattice and you buy an 18-order fine-tuning → the stage may stay flat (the equivalence principle comes out as a *conclusion*) → the memory effect and BMS → the boundary was 3-dimensional (Carroll geometry, where c = 0) → the tower of soft theorems forms w(1+∞) → the horizon is Carrollian too → write a specification for what is *missing* → in 3 dimensions it is already proved → **BMS₄ has no central charge** (dim H² = 0, computed by hand) → the area law comes for free → the degrees of freedom never needed counting → **the wall was Episode 1's own theorem** → Mercury precesses on a flat lattice (**42.9807″/century**, ratio to GR 1.0000) → one photon settles it (**112 PeV**) → this way the arithmetic is easier. **Four doors closed · one calculation that went through · one falsifiable number · zero new physics** (19 episodes + 4 bonus, complete) | [open](https://yomei-o.github.io/wakaru_all/butsuri-tsukuru-en/index.html) |
| **Force That Clicks** | Peel back what "force" really is — down to fields, geometry, and symmetry | [open](https://yomei-o.github.io/wakaru_all/wakaru-chikara-en/index.html) |
| **Mass That Clicks** | What mass actually is | [open](https://yomei-o.github.io/wakaru_all/wakaru-shitsuryo-en/index.html) |
| **The Universe Is a Computer** | Read the cosmos through the lens of computation | [open](https://yomei-o.github.io/wakaru_all/wakaru-uchu-keisanki-en/uchu-keisanki-index.html) |
| **Learning That Clicks** | Evolution, learning, and consciousness read through one and the same gradient | [open](https://yomei-o.github.io/wakaru_all/wakaru-gakushuron-en/index.html) |
| **A History of UNIX That Clicks** | The history of UNIX | [open](https://yomei-o.github.io/wakaru_all/wakaru-unix-en/index.html) |

**★ Map of the whole collection: [The Physics Cube](https://yomei-o.github.io/wakaru_all/butsuri-rittai-en.html)** ── take in every series at a glance along the three axes c · ℏ · G (and the fourth axis k_B — "Temperature That Clicks").

(English folders: `wakaru-uchuron-en/` · `wakaru-soutai-en/` · `wakaru-ryoushi-en/` · `wakaru-ba-en/` · `wakaru-blackhole-en/` · `wakaru-kurikomi-en/` · `wakaru-ondo-en/` · `wakaru-surinuke-en/` · `wakaru-kussetsu-en/` · `butsuri-tsukuru-en/` · `wakaru-chikara-en/` · `wakaru-shitsuryo-en/` · `wakaru-uchu-keisanki-en/` · `wakaru-gakushuron-en/` · `wakaru-unix-en/`)

## 日本語版 (Japanese originals)

The Japanese originals live in sibling folders and are listed in the [Japanese README](README.md). Quick links: [Conformal Transformations](https://yomei-o.github.io/wakaru_all/wakaru-kyokei/index.html) · [Fields](https://yomei-o.github.io/wakaru_all/wakaru-ba/index.html) · [Relativity](https://yomei-o.github.io/wakaru_all/wakaru-soutai/index.html) · [Quantum](https://yomei-o.github.io/wakaru_all/wakaru-ryoushi/index.html) · [Renormalization](https://yomei-o.github.io/wakaru_all/wakaru-kurikomi/index.html) · [Temperature](https://yomei-o.github.io/wakaru_all/wakaru-ondo/index.html) · [Tunneling](https://yomei-o.github.io/wakaru_all/wakaru-surinuke/index.html) · [Refraction](https://yomei-o.github.io/wakaru_all/wakaru-kussetsu/index.html) · [The Lattice We Build](https://yomei-o.github.io/wakaru_all/butsuri-tsukuru/index.html) · [Cosmology](https://yomei-o.github.io/wakaru_all/wakaru/index.html) · [Force](https://yomei-o.github.io/wakaru_all/wakaru-chikara/index.html) · [Mass](https://yomei-o.github.io/wakaru_all/wakaru_shitsuryo/index.html) · [Universe-as-Computer](https://yomei-o.github.io/wakaru_all/wakaru-uchu-keisanki/uchu-keisanki-index.html) · [Learning](https://yomei-o.github.io/wakaru_all/wakaru_learn/index.html) · [UNIX](https://yomei-o.github.io/wakaru_all/wakaru-unix/index.html).

## 🔧 *The Lattice We Build* — the one series with the stance reversed

Exactly one row in the table above does not say "That Clicks." Where the "Wakaru" series **explains** known physics, this one flips the stance: it **builds a tool, runs it, and reads the result as it comes** — including the runs that failed, and the runs where the author was simply wrong. The tool it builds is a **lattice**: what breaks when you declare spacetime to *be* a lattice, and what still turns over perfectly when you keep the lattice flat.

Spine, in one line: *making physics is not about predicting, but about deciding in advance how a prediction would die.*

19 main episodes + 4 bonus, complete. Every episode carries an interactive figure; the check code is dependency-free pure C++ / pure Python ([kuuhaku_cpp](https://github.com/yomei-o/kuuhaku_cpp)).

**Negative results are published as negative, and corrections are not hidden** — every episode carries a correction banner plus a ledger.

➡ English: [butsuri-tsukuru-en/](https://yomei-o.github.io/wakaru_all/butsuri-tsukuru-en/index.html) ｜ Japanese original: [butsuri-tsukuru/](https://yomei-o.github.io/wakaru_all/butsuri-tsukuru/index.html)

## How to read
Start from the contents page of the **published site** above and go to each episode. Every individual HTML file just works when opened in a browser (the only external dependency is the MathJax CDN). To print, use each page's "Print → Save as PDF."

## Notes on structure
- Each series sits as a **sibling folder directly under this repository**. Contents pages reference their sister series with relative links (e.g. the contents of `wakaru-ba-en/` → `../wakaru-chikara-en/index.html`), so keep each series in its sibling folder directly under the root.
- The physics tetralogy (Fields · Relativity · Quantum · Cosmology) connects on a single sheet through the fundamental constants c · ℏ · G (→ [The Physics Cube](butsuri-rittai-en.html)). "Quantities with units are stage scenery; what matters is the dimensionless ratio" is the through-line of the whole collection.
- English editions are one-to-one translations of the Japanese originals; the code, figures, and math are preserved, only the visible text is translated. Expressions such as "the speed of light slows" are equivalent rephrasings (projections) for understanding — the locally measured speed of light and the dimensionless constant α are invariant.