Pulse Core Lexicon
Electron Cell Candidate
Definition
The Electron Cell Candidate is the book's candidate law for the electron's mass: the electric energy of one charge bit across one matter cell of its level, mₑ𝒞→² = α⚡ · E_P · 2^(−⚚/3).
With charge a bit carried through every universe, the electron is the simplest pattern that holds one. The matter cell is the length of the level's strong scale, ℓ⊗ = ℓ_P · 2^(⚚/3), so the law says the electron's classical radius is one matter cell. From measured particle constants alone it gives the level 201.72, inside the spread of the 202 Nexus, and at 202 it is 6.2% low; with the proton as the same cell filled by the strong force it gives mₚ/mₑ = κ⊗/α⚡. It is a candidate: found after the fact, its central number mₑ𝒞→²/α ≈ 70 MeV has a long history as coincidence (Nambu, 1952), and it waits on a reason from the binary pattern model; it fails if the Nexus closes on another level. It connects to Matter Scale of a Level, The 202 Nexus and Charged Pair Threshold.
Mathematical Expression
From the book · Chapter 2 · Charge, Electrons, and Chemistry
mₑ · 𝒞→² = α⚡ · E_P · 2^(−⚚/3)
Dimensional analysis:
Where (from the book): mₑ [𝕄], α⚡ [∅]
[𝕄] × [𝕃²·𝕋⁻²] = [𝕄·𝕃²·𝕋⁻²]
[∅] × [𝕄·𝕃²·𝕋⁻²] × [∅]^([∅] ÷ [∅]) = [𝕄·𝕃²·𝕋⁻²] × [∅]^([∅] ÷ [∅]) = [𝕄·𝕃²·𝕋⁻²] × [∅]^([∅]) = [𝕄·𝕃²·𝕋⁻²] × [∅] = [𝕄·𝕃²·𝕋⁻²]
[𝕄·𝕃²·𝕋⁻²] = [𝕄·𝕃²·𝕋⁻²] ✓ Valid PulseCore Verified ✓
The electron's rest energy as the electric energy of one charge bit across one matter cell of its level
Where:
- mₑ [𝕄] – the electron mass
- E_P [𝕄·𝕃²·𝕋⁻²] – the Planck energy
- α⚡ [∅] – the fine-structure constant at the level
- ⚚ [∅] – the harmonic level
Technical Details
Category Equation
Chapter Chapter 2
Importance