Pulse Core Lexicon
Modified Fundamental Constants
Definition
Modified Fundamental Constants are the physical constants a universe inherits at its birth — Planck time, the speed of light and the gravitational constant — scaled from the parent's values by the density at collapse.
Across recursive cosmological cycles, universes inherit not fixed constants but scaled variations shaped by density, entropy and curvature at collapse; temporal resolution, light speed and gravitational coupling each shift with computational boundary conditions, giving a spectrum of physical possibilities while keeping dimensional coherence. The book concludes that the so-called fundamental constants are adaptive parameters rather than universal absolutes. Pulse Rhythm Inheritance, ①⥂⧖'⌂ = α × ①⥂⧗⌂ × f(ρ⦰) [𝕋], carries the same density scaling into the half-cycle pulse time, keeps each child dimensionally consistent and enables Parametric Diversity across the Recursive Cosmological Tree.
The book gives three scalings: ①⥂⧗'⌂ = ①⥂⧗⌂ × f(ρ⦰) [𝕋], 𝒞→' = 𝒞→ × g(ρ⦰) [𝕃·𝕋⁻¹], and G' = G × g(ρ⦰)⁵ [𝕄⁻¹·𝕃³·𝕋⁻²], where ①⥂⧗'⌂, 𝒞→' and G' are the modified Local Pulse Tempo (Planck time), light speed and gravitational constant, ①⥂⧗⌂, 𝒞→ and G their values in the parent universe, f and g are dimensionless scaling functions [∅] and ρ⦰ is the density at universe formation [𝕄·𝕃⁻³]; the gravitational constant follows the child's light speed to the fifth power, so G' = G on the typical ladder, where g = 1.
It connects to Inheritance Transformation, Pulse Duration Inheritance, Parametric Diversity, Parametric Inheritance, Fundamental Constant Variations, Gravitational Coupling and Recursive Cosmological Tree.
Mathematical Expression
From the book · Chapter 9 · Cosmic DNA — Parametric Inheritance Across Universe Generations · Temporal Resolution Scaling
①⥂⧗'⌂ = ①⥂⧗⌂ × f(ρ⦰) [𝕋]
Dimensional analysis:
[𝕋]
[𝕋] × [∅] = [𝕋]
[𝕋] = [𝕋] ✓ Valid PulseCore Verified ✓
From the book · Chapter 9 · Cosmic DNA — Parametric Inheritance Across Universe Generations · Light Speed Modulation
𝒞→' = 𝒞→ × g(ρ⦰) [𝕃·𝕋⁻¹]
Dimensional analysis:
[𝕃·𝕋⁻¹]
[𝕃·𝕋⁻¹] × [∅]([𝕄·𝕃⁻³]) = [𝕃·𝕋⁻¹] × [∅] = [𝕃·𝕋⁻¹]
[𝕃·𝕋⁻¹] = [𝕃·𝕋⁻¹] ✓ Valid PulseCore Verified ✓
From the book · Chapter 9 · Cosmic DNA — Parametric Inheritance Across Universe Generations · Gravitational Coupling
G' = G × g(ρ⦰)⁵ [m³/(kg·s²)]
Where:
- ①⥂⧗'⌂ [𝕋] - modified Local Pulse Tempo governing computational capacity inheritance
- ①⥂⧗⌂ [𝕋] - Local Pulse Tempo (standard Planck time)
- f(ρ⦰) [∅] - temporal scaling function
- ρ⦰ [𝕄·𝕃⁻³] - density at Universe formation
- 𝒞→' [𝕃·𝕋⁻¹] - modified light speed adjusting information propagation rates
- 𝒞→ [𝕃·𝕋⁻¹] - standard light speed
- g(ρ⦰) [∅] - propagation modulation function
- G' [𝕄⁻¹·𝕃³·𝕋⁻²] - modified gravitational constant, which follows the child's light speed to the fifth power, G' ∝ 𝒞→'⁵ (Constants of a Child Universe, Part 1.6): G' = G on the typical ladder, where g = 1
- G [𝕄⁻¹·𝕃³·𝕋⁻²] - standard gravitational constant
Technical Details
Category Concept
Chapter Chapter 9
Importance