1. Number Systems
Background: Number Systems is a post to explore number systems in general and for use in the
physical and computational sciences.
Post 8.1.2
Natural Events in Fibonacci Number Space
Medical Sciences
Posts 1 – 8 have established:
1 𝐷 = (1 +
𝛾∞
𝑓
𝑇𝐷
)
−1
(1 +
𝛾 𝐷
𝑓
𝑇𝐷
)
+1
For natural events, this definition should correlate to the Bernoulli base of natural logarithms:
∫
1
𝑥
𝑑𝑥
𝑒
1
= 1 where lim
𝑛→∞
(1 +
1
𝑛
)
𝑛
= 𝑒
A mathematical description of nature should not be accurate unless the number system complies
with both natural conditions of the number one shown above.
Natural examples:
1
𝑐3
2 =
1
35
2 𝑥 10−16
meter-2 sec+2
h = 6.6260700 E-34 = 6.6260700 x (1∞ − 𝑅 𝐸
𝑓{3}
) x 10-34
meter+2 kg+1 sec-1
𝒘𝒉𝒆𝒓𝒆 𝒂 𝒈 = 𝒈
when g = gEarthSurface <g units: acceleration+1 second+2>
To be rigorous, energy can be defined as a ratio:
𝐸
𝐸 𝐵
= 𝑚𝑉𝐵
Kilogram+1 Meter+3
Define
𝐸 𝑅 = 𝑚3 𝑉3

2. 𝑬 = 𝒎𝑽
Then the dimensionless chemistry of hydrocarbon molecules should be a direct function of mass
and physical size.
𝐶𝐻3
This molecule has unique spatial symmetry:
3HC-CH3
The most efficient location of mass in space is referred to as the lowest energy state.
𝐸
𝐸 𝐵
= 𝑚𝑉𝐵
Define
𝐸
𝐸 𝐵3
= 𝑚𝑉𝐵3
𝑚𝑉3 = 𝑚𝑉
Define
𝐸 𝐵_𝐸𝑎𝑟𝑡ℎ 𝑆𝑢𝑟𝑓𝑎𝑐𝑒 = 𝐸 𝐵_𝐸
𝐸 𝐵_𝐸 = 𝑚𝑎 𝑔 𝑏_3
𝐸 𝐵 =
𝐸 𝐵_𝐸
𝑏_3
= 𝑚𝑎 𝑔
𝐸 𝐵 = 𝑑𝑖𝑚𝑒𝑛𝑠𝑖𝑜𝑛𝑎𝑙 𝑏𝑜𝑢𝑛𝑑𝑎𝑟𝑦 𝑣𝑜𝑙𝑢𝑚𝑒
Then
𝐸 𝐵 = 680 𝑒𝑉𝑘𝑔−1
EB represents a dimensionless ratio and should be independent of units of measure or
number system. This value represents a power of one hundred times (100x) a dimensional
one (1x) using the base 10 number system. The physical units are energy per unit mass.
Post 8.1.3 is intended to further clarify the significance of CH3 in Fibonacci energy space.