Star Existence Condition

The Star Existence Condition is where in the UniSphere stars can stand: only where the gravity between two protons is weaker than the electric force between them, α_G = (m_p / m_P)² < α, so that atoms hold together and a star has an inside pushing back against its own weight. With the Matter Scale of a Level, m_P / m_p = 2^(L⊛/3) / 14.3, the condition becomes a level: L⊛ > 3 · log₂(14.3 · √137) ≈ 22.2. Below it a universe holds matter and wells but no stars; above it stars form, tiny at first, a few hundred protons each at level 23, about ten thousand at 27, three and a half million at 36, and a Sun's 10⁵⁷ at ours. It assumes the fine-structure constant α is the same at every level, which the book has not yet derived. Formally, m_P / m_p > α^(−1 / 2), where m_P [𝕄] is the Planck mass, m_p [𝕄] the proton mass and α [∅] ≈ 1/137 the fine-structure constant: [∅] > [∅]. It connects to Matter Scale of a Level, Proton Mass, Stellar Mass Unit and Galaxy (BPT).

Category: Manuscript

Chapter: Chapter 2

Importance Level: