The following outline is the short version of a conjecture previously laid out in a longer form. Some of the bullets have been reordered for effect. This version was also tweetified. Pictures are at the bottom.
The wishdrops conjecture — The universe is a spinning sphere of infinitesimal radius and infinite dimension.
The Pythagorean theorem — In n dimensions, √n and 1 / √n are least action forms and ubiquitous on the sphere.
The golden ratio — The golden ratio, with equivalent infinite and finite forms, decrypts the infinite sphere; the finite form — 1 / √4 + √5 / √4 — is conveniently expressed in combinations of √n and 1 / √n.
Mass-energy equivalence — The first term of the golden ratio — 1 / √4 — embodies matter; the second term — √5 / √4 — embodies energy; that they are additive (and not multiplicative) prohibits a conventional grand unification.
A compendium of physical constants — A dimensionless system of units that expresses all physical constants in terms of √n and 1 / √n exists.
The speed of light — The speed of light, electron mass, and inverse electric charge — c = √8, mₑ = √10, and e⁻¹ = √18 — form a right triangle.
Dark matter — Ordinary matter accounts for 1 / 8 of the 1 / √4 term of the golden ratio (c / c³ = 1 / 8), dark matter accounts for the rest of it, and (dark) energy accounts for the √5 / √4 term, thus the overall ratio is 1 : 7 : 8 * √5.
The expansion of space — The perpendicular electron mass (√10) and Rydberg energy (1 / √10) are the basis of dark energy and drive the expansion of space into ten by ten dimensions.
1 / 137 — A forty dimensional projection of spacetime applied 8 / 3 times — 1 / √40 ^ (8 / 3) —yields the observed fine structure constant, and, in another orientation, the coupling strength ratio between electromagnetism and the strong force.
The color spectrum apices — Each color corresponds to a different number of dimensions — say n — and has an electromagnetic frequency of √(162 / n) times the Rydberg frequency.
The frequency of the universe — Middle A is 40 octaves, or 480 notes, above the ultraviolet onset frequency, which is the color frequency for n = 10.
Sensory harmonies — All senses share a spectral profile of three plausible opposites and a center of balance, and all presumably map to physical frequencies, yet undiscovered in some cases.
Ancient philosophy — There are hints that knowledge of such an infinitely compact sphere, once possessed, was lost in time and translation.
Incompleteness, infinity, and existence — What doesn’t the sphere model ?