Cosmic Signature Equation (CSE): A Foundational Framework for Mapping Stars, Black Holes, and Habitability — by Hussain Billah

This whitepaper introduces the Cosmic Signature Equation (CSE), a foundational theoretical framework proposed by Hussain Billah, CEO of Sonicium Ltd. The CSE aims to mathematically represent and predict the structural distribution of stars, black holes, and potentially habitable planets in the universe.

The model is based on three core functions:

 f⋆(θ): Stellar angular density function  

 B(M, z): Black hole mass–redshift distribution  

 H(η⊕): Planetary habitability metric

CSE maps a high-dimensional parameter space (𝒫) to an observable outcome space (𝒪), incorporating cosmological, quantum, and information-theoretic dimensions. This preprint serves to formally define the equation, assert intellectual authorship, and offer a research roadmap.

https://orcid.org/0009-0009-5686-619X

All rights reserved by the original author, Hussain Billah (Bangladesh, 2025).

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