Everything you can measure is made of three things: how heavy, how far, how long. Nature gives us three ways to fold them together. Watch them collapse.
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Light sets the exchange rate: one second of time is 299,792,458 metres of space.
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Gravity sets the second exchange rate. Mass turns into length.
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a marble
a small town
After time and gravity, everything is a length. The third fold, the smallest possible wiggle in nature (the quantum), sets one tiny square to exactly 1. Now everything is just a number, except for one yes-or-no that won't fold away: does it need a square root? checked
Force and power are special: they fold with just time, space and gravity, no quantum needed. The biggest force the fold allows is about 1.2 × 10⁴⁴ newtons. checked
Draw heavy, far and long as the three edges of a cube. Its corners split into two interlocking pyramids, gold and violet. The one bit that survives the fold is simply which pyramid a thing lives on.
Turn the cube to look straight down its corner and it becomes a hexagon with you in the middle. Your corner, heavy × far × long, is gold.
In small words: light says a second is a long metre. gravity says a kilogram is a tiny metre. now everything is metres. the tiniest wiggle in nature says one tiny square is exactly 1. then everything is just a number, and only one question is left: does it need a square root?
Each constant is a trade between the three ingredients (powers of kg, m, s). Solve for any quantity and see which powers of gravity (G), light (c) and the quantum (ħ) it takes. checked exact fractions, all 15 rows.
| thing | kg m s | G · c · ħ | root? |
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The three constants' table has a determinant of −2, which is why two dots are left, not one. checked Reading the quantum as your (·) is my interpretation. my read Constants: c exact, G = 6.674 30 × 10⁻¹¹, ħ = 1.054 571 817 × 10⁻³⁴.