Work

Calculating the Radius of the Entire Universe in the SV0 Framework: From the Planck Scale to the Holographic Bound and Consistency Checks

Year: 2026
Type: preprint
Abstract: In this paper (Paper XLIV of the SV0 series), we calculate the three fundamental radii of our entire universe (not merely the observable patch) within the Signed-Volume (SV0) framework: the minimum radius at the quantum bounce, the current radius, and the maximum radius before the next contraction. Using the holographic information bound (Paper XXXV) and the discrete nature of Spacetime Quanta (Paper XIII), we show that the minimum radius is the Planck length (R_min ~ 10⁻³⁵ m), the current radius is approximately 1.4 × 10²⁷ m, and the maximum radius is 1.5 × 10²⁷ m. Crucially, we calculate the ratio between the current radius of the entire universe and the radius of the observable universe (particle horizon), finding that our universe is approximately 3.2 times larger than the observable patch. Finally, we cross-verify the SV0 radii using three independent fundamental equations: (1) the low-ℓ CMB cutoff, (2) the SV0 modified Friedmann equation, and (3) the Holographic Dark Energy limit. All methods yield consistent values, confirming the internal mathematical integrity of the SV0 Theory of Everything. Keywords:Radius of the Universe; Holographic Principle; SV0 Theory; Spacetime Quanta; Quantum Bounce; Cosmology; Cosmic Microwave Background.
Language: English
Open Access status: green
OpenAlex ID: W7225659384
Cites:
Cited by:
Related to: