THE GEOMETRY OF LIFE

THE 72.43% / 27.57% SPLIT

This ratio appears everywhere - from CERN particle detection to chromatin accessibility to protein structure. It's not coincidence. It's geometry.

27.57%

OBSERVABLE (S⁺)

HIDDEN (S⁻)

P = √3/(2π) = 3/(4e) = 0.2757

The projection factor - how much of total reality is directly observable

Biological System	Observable (27.57%)	Hidden (72.43%)	Framework Match
DNA / Chromatin	Accessible euchromatin	Wrapped heterochromatin	~25-30% accessible
Proteins	Solvent-exposed surface	Buried hydrophobic core	~25-30% exposed
Genome	Coding sequences	Regulatory / "junk" DNA	~3% coding (×9)
Neurons	Transmitted action potentials	Synaptic vesicle reserve	~20-30% release
Metabolism	ATP actively used	Stored potential energy	Efficiency ~27%
CERN Particles	Detected particles	"Missing" energy	27.57% detected

THE CONSTANTS ACROSS BIOLOGICAL SYSTEMS

Constant	Pure Value	Biological Manifestation	System
κ = 2π/180	0.0349...	DNA rise per bp = 3.4 Å	B-form DNA
κ-shadow	28.65 Hz	Gamma brain wave frequency	Neural synchrony
BC = 48.19°	arccos(2/3)	Protein helix torsion angles	α-helix, β-sheet
cos(BC) = 2/3	0.6667	Major:minor groove ratio	DNA grooves
σ = 5/16	0.3125	Helix overlap ratio	Secondary structure
36° = 18κ	0.628 rad	DNA twist per base pair	Double helix
1729	9³ + 10³	10 bp/turn + triplet codon	DNA structure
Partition primes	2,3,5,7,11,13	Protein domain sizes	Fold architecture

EXPLORE THE SYSTEMS

Each biological system demonstrates the same geometric principles.

DNA STUDIO

DNA is the 1729 fold in molecular form. 10 base pairs per turn (10³) + triplet codons (9³) = 1729. The Fibonacci dimensions. The 36° = 18κ rotation.

1729 · 36° · Fibonacci · κ

Enter DNA Studio →

PROTEIN FOLDING

Proteins don't search conformational space randomly - they follow torsion field gradients. The σ = 5/16 shielding constant predicts folding rates.

σ = 5/16 · BC angle · Torsion

Explore Folding →

NEURODEGENERATION

Disease as geometry gone wrong. Polyglutamine thresholds, tau tangles, prion misfolding - all torsion field collapse at critical angles.

Mock theta · S⁻ aggregation

Study Disease →

THE EYE CODEX

The eye doesn't receive reality - it decodes it. Rods and cones look INWARD. The double inversion: [1 = -1] in flesh and signal.

[1 = -1] · Inversion · Decode

Read the Codex →

CONSCIOUSNESS

Gamma waves at 28.65 Hz - exactly κ-shadow. Neural binding, awareness, the present moment - all resonating at the geometric frequency.

κ-shadow = 28.65 Hz · Gamma

Soul Science →

ATOMIC STRUCTURE

Electron orbitals from first principles. The 2-8-8-18 shell pattern without quantum probability waves - pure κ geometry.

κ orbitals · Shell geometry

Atomic Model →

MOCK THETA = INTRINSICALLY DISORDERED

Ramanujan's mock theta functions have a "shadow" - a hidden component that breaks perfect symmetry. Intrinsically disordered proteins (IDPs) are the biological analog.

≋ α-synuclein, tau, p53 — Partially folded with hidden ensemble states

≋ Visible fold (S⁺) + Shadow conformations (S⁻) = Full protein state

≋ Neurodegeneration — When S⁻ shadow aggregates into pathogenic form

≋ Gene expression noise — The S⁻ hidden component of transcription rates

Protein State = S⁺(visible fold) + S⁻(shadow ensemble)

The mock theta structure in molecular biology

[1 = -1] = CHIRALITY

Life uses ONLY L-amino acids and ONLY D-sugars. This is not chance - it's the Möbius constraint. The handedness of life is [1 = -1] in molecular form.

✓ L-amino acids only — Not D-amino acids

✓ D-sugars only — Not L-sugars (in DNA backbone)

✓ Right-handed helices — Both proteins and DNA

✓ Topoisomerase — Implements [1=-1] surgery on DNA

The same handedness constraint that governs particles governs life.
Biology IS physics at the molecular scale.