Holographic Vacuum Density

The Holographic Vacuum Density is the vacuum a horizon of radius R◎ can hold: a vacuum's energy counted on its boundary rather than through its volume. Summed through its volume to the Zinf, the vacuum's zero-point energy comes to about the Planck density, some 10¹²³ times what is measured, the cosmological constant problem. A region cannot hold more energy than would make it a black hole, which ties its vacuum energy to its boundary (Cohen, Kaplan & Nelson 1999); with the horizon as the size it gives the dark energy measured today (Li 2004). With the Cosmological Constant of the Null Vacuum it is Λ = 3 / R◎², the de Sitter horizon whose entropy, S◎ = 3π / (Λ ℓ_P²), the Holographic Pixel Bound counts. Formally, ρ⦵ = 3 · c² / (8 · π · G · R◎²), where ρ⦵ [𝕄·𝕃⁻³] is the density of the Null Vacuum, c [𝕃·𝕋⁻¹] light speed, G [𝕄⁻¹·𝕃³·𝕋⁻²] the gravitational constant and R◎ [𝕃] the horizon radius: [𝕄·𝕃⁻³] = [𝕄·𝕃⁻³]. It connects to Null Vacuum, Holographic Pixel Bound, Level Λ Law and Cosmological Constant of the Null Vacuum.

Category: Manuscript

Chapter: Chapter 3

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