This Manifold of Ours

A macro, photographic-realistic close-up of a luminous nautilus shell cross-section resting on a slate-gray stone slab. Its pearlescent interior reveals a perfect logarithmic spiral of chambers, each rim catching a faint iridescent glow. Behind it, out of focus, lies a well-worn, cloth-bound book titled in subtle gold foil, hinting at natural philosophy. Cool, diffused daylight from above and slightly behind creates delicate highlights along the shell’s curve and soft shadows in each chamber, emphasizing its mathematical precision. The composition uses the rule of thirds, with the spiral pulling the eye inward. The mood is serene and analytical, inviting quiet reflection on order within nature, against a minimalist, uncluttered backdrop.

Excerpt Index

Here you will find excerpts from the book.

These excerpts are put here for two reasons: I’ve discovered that if you send people long manuscripts, it tends to sit unread on the desks of very important people. I’ve also found out that great authors like Charles Dickens, J. R. R. Tolkien, and Alexandre Dumas wrote sent excerpts of their book to newspapers or friends, with publication happening in book form only later.

Excerpts will be posted in roughly chronological order, as they appear in the book, with later plans to sort them by book chapter and topic.

During the writing season, excerpts appear nearly weekly. During the off-season (the autumn / winter research season), excerpts will appear that are research related and not book related. They will be categorized as essays, and not excerpts.

Excerpts

Violin with bow next to an antique brass telescope on a tripod, a seashell, and a rolled map on a dark surface

Coming Soon

How do relationships with numbers mirror relationships of the most fundamental properties of matter?

Why do we live in a world of 3 dimensions and not some other number?

Does size matter? Why don’t giant cells exist, and if they don’t, why are there some truly big life forms? How do they get that way?

How are galaxies able to hold their shape, even though stars are very far apart?

Why do rivers, lightning strikes, blood vessels, and trees all take the same general shape?

If the platonic solids are such special shapes, why do viruses look like them?

Why are there mysterious arcs on faraway moons untouched by humans?

For the answer to these questions, and so much more, stay tuned, and keep reading.