1. The document discusses number systems and their application in the physical and computational sciences. It explores Fibonacci number space and natural events that correlate with the Bernoulli base of natural logarithms. 2. A mathematical description of nature should comply with natural conditions of the number one. The document defines an energy per unit mass ratio (EB) that represents a dimensional boundary volume and should be independent of measurement units or number systems. 3. In Fibonacci dimensional space, distance should be incremental or quantum, not continuous as on Earth's surface. Ratios are defined relating energy and distance in Fibonacci space.

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 8.1.4
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.
𝐸
𝐸 𝐵
= 𝑚𝑉𝐵
Kilogram+1 Meter+3
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
𝐸 𝐵_𝐸𝑎𝑟𝑡ℎ 𝑆𝑢𝑟𝑓𝑎𝑐𝑒 = 𝐸 𝐵_𝐸
𝐸 𝐵 = 𝑑𝑖𝑚𝑒𝑛𝑠𝑖𝑜𝑛𝑎𝑙 𝑏𝑜𝑢𝑛𝑑𝑎𝑟𝑦 𝑣𝑜𝑙𝑢𝑚𝑒

2. 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.
𝐸 𝐵 = 1.089𝐸 − 16
Joule+1
kg-1
The definition of one meter is a ratio of the Earth geodesic distance for 90 degrees.
𝒎𝒆𝒕𝒆𝒓 ∝
𝝅
𝟐
The MKS system of units is related to dimensions of curvature for a surface D=2.
6.8 𝑒𝑉 = 1𝑘𝑔 𝑥
𝐸 𝐵_𝐸
10+2
Earth surface energy E3 should not be continuous in Fibonacci dimensional space D=3.
The dimensionless ratio:
𝑏3 =
1
𝑐2
𝒃 𝟑 = 1.111E-17
meter
In Fibonacci space, distance should be incremental or quantum.
As in post 8.2
𝐸
𝐸 𝐵𝐷
=
(𝑘𝑎𝑝𝑝𝑎) 𝐷
𝑛
𝑥 𝑐 𝐷
𝐸
𝐸 𝐵_𝐸
=
(𝑘𝑎𝑝𝑝𝑎)3
𝑛
𝑥 𝑐3
for integer n above.
𝐸3 = 𝑓𝑢𝑛𝑐𝑡𝑖𝑜𝑛(𝑛)
𝐸 𝑅𝑎𝑡𝑖𝑜3𝑀𝐼𝑁 =
𝐸 𝛥3𝑀𝐼𝑁
𝐸 𝐵_𝐸
Post 8.1.5 is intended to further clarify the significance of CH3 in Fibonacci energy space.