Pulse Core Lexicon
Fine-Structure Constant across Levels
Definition
The Fine-Structure Constant across Levels is how the strength of electromagnetism moves from universe to universe: with charge carried through unchanged, α = e²/(4πε₀ℏ𝒞→) falls as the quantum of action grows, as s⁻², α(⚚) = α♁ × (2f)^(2·(⚚♁ − ⚚)).
Our 1/137 is the value at ⚚♁; a deeper universe has a stronger electromagnetism, and α reaches 1 about 3.5 levels below ours, near level 198.5. It rests on the author's ruling that charge is a bit, carried through every universe, and it takes our α as an input: it does not produce 1/137.036. It connects to Gravity's Coupling across Levels, Band of Chemistry and Stars and UniSpheral Fine Structure Constant.
Mathematical Expression
From the book · Chapter 1 · The 202 Nexus
α(⚚) = α♁ × (2f)^(2 · (⚚♁ − ⚚))
Dimensional analysis:
[∅]([∅]) = [∅]
[∅] × ([∅] × [∅])^([∅] × ([∅] - [∅])) = [∅] × ([∅] × [∅])^([∅] × [∅]) = [∅] × ([∅] × [∅])^([∅]) = [∅] × [∅]^([∅]) = [∅] × [∅] = [∅]
[∅] = [∅] ✓ Valid PulseCore Verified ✓
With charge held fixed, the strength of electromagnetism falls as the quantum of action grows: stronger in deeper universes, weaker in shallower ones.
Technical Details
Category Equation
Chapter Chapter 1
Importance