Chapter 2
Wells, Density, and Mass
What if the Universe's greatest mystery isn't how things begin, but how they end — and begin again? What if cosmic collapse isn't cosmic death but cosmic rebirth? Binary Pulse T...
Chapter 2
Wells, Density, and Mass
What if the Universe's greatest mystery isn't how things begin, but how they end — and begin again? What if cosmic collapse isn't cosmic death but cosmic rebirth? Binary Pulse Theory reframes collapse as Creative Necessity — the Universe's method of upgrading itself through dissolution.
Mass and energy here are counted in pulses. A bit is one binary transition and each transition carries one quantum, so information of I bits at angular frequency ω holds E = ℏ × I × ω (Part 3.1). Density is that count packed into space, and where it passes the substrate’s capacity, a Null Well forms.
~ Key Math ~
Null Well Formation Condition
ℜ⌂(x,τ,ℨ) ≥ ℜ⨶(ℨ) = k(ℨ) × ℏ(ℨ) × ↁρ(ℨ)
A Null Well forms where local recursive density reaches the substrate’s critical density.
Null Well Progeny Count Law
N(L) = ℜ_U(L) / ↁℹ∂(V,ℨ) = 2^(L/3)
Dimensional analysis:
[∅]
[∅]([∅]) ÷ [∅] = [∅] ÷ [∅] = [∅]
[∅]^([∅] ÷ [∅]) = [∅]^([∅]) = [∅]
[∅] = [∅] = [∅] ✓ Valid PulseCore Verified ✓
The number of children a level-L universe seeds over its life: the cube root of its life in pulses.
Stellar Mass Unit
M⋆ = m_P³ / m_H²
The mass every star is sized by: the Planck mass cubed over the hydrogen mass squared, about 1.85 solar masses in our universe.
Matter Scale of a Level
Λ⊗ = E_P · 2^(−L/3)