| your word | accepted term | what it is | |
|---|---|---|---|
| fold | natural units: set the constants to 1 (mathematically, divide the lattice of units by them) | every quantity is kga mb sc: a point on a 3‑D grid of whole numbers (a, b, c). a constant of nature says two of those points are "the same". fold along it and the grid loses one direction. | LIT |
| time . space | c, the speed of light | c = 1 says a second is 299,792,458 metres. time folds onto space. the dot between them is the fold. | LIT |
| gravity | G (with c: G/c²) | G = 1 says a kilogram is 7.43 × 10⁻²⁸ m. mass folds onto length. the Earth is 4.4 mm, the Sun 1.48 km (half the size each would be as a black hole). | LIT |
| (.) | a point; in your bracket notation, bra and ket closed on a dot: a scalar | everything a pure number. but time, space and gravity alone stop at a line: every quantity becomes length to some power, and nothing fixes which length is 1. the dot needs one more constant that sets a length: ħ, the quantum of action. I read the (.) as that: the smallest dot there is. | LIT the line · AMBER ħ as your dot |
| what's left in the dot | one bit: the parity of a + b + c | fold with c, G and ħ and the grid doesn't go to a single point: it goes to two. the constants' grid has determinant −2. whether a quantity lands on the even dot or the odd dot is whether it needs a square root. (W2.) | LIT |
| quantity | kg m s | = G · c · ħ to the powers | needs ħ? | √? | Planck value |
|---|
the bit. a quantity folds with whole-number powers exactly when kg + m + s exponents add to an even number. odd ones (length, time, mass, energy) need a square root: the Planck length is √(ħG/c³). even ones fold clean. LIT (all 15 rows solved exactly with fractions, in Python and again in this page)
your three alone. force = c⁴/G and power = c⁵/G fold with no ħ at all: 1.21 × 10⁴⁴ newtons and 3.63 × 10⁵² watts, built from time, space and gravity only. LIT
one axis survives: the power of length, n = (kg power) + (m power) + (s power). that's the line. ħ = 1 then makes length² a pure number (one Planck area, 2.61 × 10⁻⁷⁰ m²), which folds the line in half, over and over, down to its parity: odd or even. LIT
● odd (needs a √) · ● even (folds clean). stage 0 is the kg‑m‑s grid seen corner-on, the same view as last build's cube: the corner kg·m·s sits dead centre, on top of the plain number 1. the observer again.
every dot is a possible unit, kgambsc for a, b, c from −2 to 2. arrows: G, c, ħ. colour is the leftover bit. on the unit cube at the centre, the odd corners and the even corners are the two tetrahedra from three builds back: the bit that survives the fold is which tetrahedron you're on. kg·m·s, the observer's corner, is odd. LIT
| the constants' values | c = 299,792,458 m/s (exact by definition), G = 6.674 30 × 10⁻¹¹, ħ = 1.054 571 817 × 10⁻³⁴. G is the least well known, to about 1 part in 45,000. | AMBER measured inputs |
| real powers vs whole powers | physics allows square roots, so with real powers the fold does reach a single dot. the leftover bit is what you see if you insist on whole-number powers, the way your base-11 circles do. | LIT |
| charge, temperature | left out. adding coulombs or kelvin adds axes to the grid and needs more constants to fold them. | AMBER scope |
| the last build | corner-on hexagon, observer at the centre, two tetrahedra, a bit. same shapes, now carrying units instead of letters. | LIT |