ci-sha4096: a hash function whose constants are derived from atomic emission spectra and a rational constant with an exact 18-bit binary period

I've built a 4096-bit hash function called ci-sha4096 with an unusual property — every round constant is independently verifiable from first principles, derived from two orthogonal sources:

1. K-constants from Ci = 85/27, a rational constant whose fractional part repeats every exactly 18 bits in binary (mult. order of 2 mod 27 = 18). All constants computed with exact integer arithmetic — no floating point.

2. R-constants from measured atomic emission spectra of 120 elements (tHz/nm wavelengths). Aperiodic, physically grounded, orthogonal to K-constants.

Output: 4096 bits. Grover resistance: 2\^2048 operations.

Unlike SHA-256's "nothing up my sleeve" constants, these are everything up my sleeve — fully documented and verifiable.

IACR ePrint: 2026/109712
Implementation: https://github.com/karmaxul/ci-quantum-storage Paper: https://healchain.org/force/quantum-computing

Curious what the cryptography community thinks about the constant generation approach specifically.

Hash Functions, Post-Quantum, Research