Published February 4, 2026 | Version v3

Cosmic Geometry as the Blueprint of Life

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Description

This collection presents eight papers exploring how geometric constraints 
from six-dimensional spacetime with signature (3,3) may influence 
fundamental biological structures.

THE 3D+3D FRAMEWORK: COMPACTIFIED TEMPORAL DIMENSIONS
The framework proposes 6D spacetime with 3 spatial + 3 temporal dimensions. 
Critically, the two extra temporal dimensions (τ₂, τ₃) are COMPACTIFIED 
on a torus T² with radii L₂ = 9.5 light-years and L₃ = 6.0 light-years. 

This compactification:
- Avoids causal paradoxes (no closed timelike curves)
- Preserves standard physics at laboratory/Solar System scales
- Produces "dark matter-like" effects at galactic scales (purely geometric)
- Yields a mathematically consistent, ghost-free quantum field theory

CENTRAL FINDING: The universal genetic code parameters emerge from 
combinatorial properties of 6D spacetime with compactified temporal dimensions:
- N_amino_acids = C(6,3) = 20 (choosing 3 from 6 dimensions)
- N_codons = 2^6 = 64 (binary encoding in 6D)
- N_bases = 2^2 = 4 (minimal binary alphabet)

The determinant of the induced 3D metric correlates with amino acid 
hydrophobicity at r = 0.870 (p < 10^-6). Combined probability of 
coincidence: P < 10^-12.

RELATIONSHIP TO PARENT THEORY:
These applications derive from the 3D+3D Discrete Spacetime Framework 
(DOI: 10.5281/zenodo.18329889), which uses compactified temporal dimensions 
to explain dark matter, dark energy, and Standard Model parameters 
from pure geometry.

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