Pulse Core Lexicon
Matter-Era Expansion
Definition
Matter-Era Expansion is the growth of a universe of matter as time to the two-thirds, a = (t / t⊚)^(2/3): fast at first after the Physical Nova, then ever slower.
It is the Einstein–de Sitter solution of the Friedmann Equation (Einstein & de Sitter, 1932), written in Part 3.11 for a flat universe dominated by matter, which ours was from about fifty thousand years after the big bang. Its Hubble rate is H = 2/(3t), so the universe grows quickly just after its Physical Nova and ever more slowly after; half its final size is reached a third of the way through its matter era. The book reads the law from the pin head: the Physical Nova erupts the scaffold and all its data from the Pulsecore's own size, every part at once, and the expansion that follows is space expanding rather than matter exploding into it, every observer seeing the same law with themselves at the center. Matter Dilution, ρ = ρ⊚ · a⁻³, follows, and Data Matter thins the same way.
The book writes a = (t / t⊚)^(2/3), where a is the scale factor, the size of the universe relative to its size at time t⊚ [∅], t the time since the Physical Nova [𝕋] and t⊚ the reference time at which a = 1 [𝕋]: ([𝕋] ÷ [𝕋])^([∅]) = [∅].
It connects to Friedmann Equation, Matter Dilution, Hubble Drag, Physical Nova and Data Matter.
Mathematical Expression
From the book · Chapter 3 · The Expansion of the Physical Universe
a = (t / t⊚)^(2/3)
Dimensional analysis:
Where (from the book): a [∅], t [𝕋], t⊚ [𝕋]
[∅]
([𝕋] ÷ [𝕋])^([∅] ÷ [∅]) = ([𝕋] ÷ [𝕋])^([∅]) = [∅]^([∅]) = [∅]
[∅] = [∅] ✓ Valid PulseCore Verified ✓
A universe of matter grows as time to the two-thirds: fast at first, then slowing
Where:
- a [∅] — the scale factor: the size of the universe relative to its size at time t⊚
- t [𝕋] — the time since the Physical Nova
- t⊚ [𝕋] — the reference time, at which a = 1
Technical Details
Category Manuscript
Chapter Chapter 3
Importance