My Ultimate Unified Formula of the Universe: The Infinite Halving Principle and Convergence to One - Visual Proof by Ruel Villaber
Abstract
This work presents a visual and mathematical demonstration of the Infinite Halving Principle as conceptualized by the author. The core concept shows that unity (1) can be exactly formed through infinite halving.
Summary Concept:
1 = 1/2 + 1/2
and
Sum_{n=1}^{∞} (1/2)^n = 0.5 + 0.25 + 0.125 + ... = 1.0 EXACT
Detailed Core Formula:
CONVERGENCE TO ONE:
S_n = 1/2 + 1/4 + 1/8 + 1/16 + ... + (1/2)^n
Formula: Sum_{n=1}^{∞} (1/2)^n = 1
Sum formula: S_n = 1 - (1/2)^n
Limit: lim_{n→∞} S_n = 1
The Infinite Halving Principle:
1/2 + 1/4 + 1/8 + ... = 1
1 - 1/2 - 1/4 - 1/8 - ... = 0
This preprint includes photographic evidence of the author holding the original formula poster as proof of authorship and original presentation.
Author: Ruel Villaber
Independent Researcher, Mandaluyong City, Philippines 2026
Type: Preprint, Visual Mathematics, Educational Material
License: CC BY 4.0
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BibTeX
@misc{villaber2026ultimate,
title = {{My Ultimate Unified Formula of the Universe: The Infinite Halving Principle and Convergence to One - Visual Proof by Ruel Villaber}},
author = {Ruel Villaber},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23610869},
url = {https://zenodo.org/records/23610869},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - My Ultimate Unified Formula of the Universe: The Infinite Halving Principle and Convergence to One - Visual Proof by Ruel Villaber
AU - Ruel Villaber
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23610869
UR - https://zenodo.org/records/23610869
AB - This work presents a visual and mathematical demonstration of the Infinite Halving Principle as conceptualized by the author. The core concept shows that unity (1) can be exactly formed through infinite halving. Summary Concept: 1 = 1/2 + 1/2 and Sum_{n=1}^{∞} (1/2)^n = 0.5 + 0.25 + 0.125 + ... = 1.0 EXACT Detailed Core Formula: CONVERGENCE TO ONE: S_n = 1/2 + 1/4 + 1/8 + 1/16 + ... + (1/2)^n Formula: Sum_{n=1}^{∞} (1/2)^n = 1 Sum formula: S_n = 1 - (1/2)^n Limit: lim_{n→∞} S_n = 1 The Infinite Halving Principle: 1/2 + 1/4 + 1/8 + ... = 1 1 - 1/2 - 1/4 - 1/8 - ... = 0 This preprint includes photographic evidence of the author holding the original formula poster as proof of authorship and original presentation. Author: Ruel Villaber Independent Researcher, Mandaluyong City, Philippines 2026 Type: Preprint, Visual Mathematics, Educational Material License: CC BY 4.0
ER -