**Authors:** William Craig Byrdwell

A new series of equations for space, mass and the Periodic Table based on a common pattern is presented. Three equations for circular space represent the circumference (C), area (A), and volume (V) of a circle or sphere, which are mathematically equivalent to the conventional equations, specifically, C=2πr, A=πr^{2}, and V=4/3πr^{3}. The new equations incorporate a new understanding of pi, referred to as Whole PI to distinguish it from the classic understanding. A new symbol for Whole PI is presented and explained. Using Whole PI, the equations for the dimensions of space become 2PId^{p}/2p for the first dimension and PId^{p}/2p for the others. It is further shown that the second mass, helium, stands in relation to the first mass, hydrogen, the same as the second dimension of space stands in relation to the first dimension of space, specifically, H=2m^{p}/2p and He=m^{p}/2p, in which m equals the integer unit mass (m=1), the power signifies the atomic number (and therefore the number of electrons), and the denominator signifies the integer mass of the atom. Because of the similarity to the equations for dimensions of space, the elements may be referred to as dimensions of mass. Using the new equations, it is shown that the Periodic Table contains exactly ten dimensions of mass, and the other elements can be considered deconstructions of the ten dimensions of mass. This report shows a common pattern behind space and mass, and provides new insight into the anomalies in the Periodic Table.

**Comments:** 33 Pages. The version of this manuscript that contains the approximations for accurate monoisotopic masses (a.k.a. The 99.989% Solution) is "The Case for Whole PI and Alternative Equations for Space, Mass, and the Periodic Table", DOI: 10.13140/RG.2.1.3348.6968/2

**Download:** **PDF**

[v1] 2019-07-10 13:50:58

**Unique-IP document downloads:** 22 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful. *