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 8.2.1
Natural Events in Fibonacci Number Space
Energy Production
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>
It has been shown
𝐸
𝐸 𝐵
= 𝑚𝑉𝐵
To be rigorous, energy can be defined as a ratio:
𝐸
𝐸 𝐵
= 𝑚𝑉𝐵
Kilogram+1 Meter+3

2. Define
𝐸
𝐸 𝐵𝐷
=
(𝑘𝑎𝑝𝑝𝑎) 𝐷
𝑛
𝑥 𝑐 𝐷
𝑚 𝐷 =
(1 − 𝑅 𝐸
𝑓{𝐷}
)
𝑒 𝐷
𝐷
𝐷+1𝐷
𝒉 𝟓 = 𝒎 𝟑 𝒉 𝟑 + 𝒃 𝟑
And so on for D = F(n).
To be rigorous, the numerical value of hν should be the value hν = hν(r) while physical
results at spatial location r from a center of mass should be dimensionless.
𝐸
𝐸 𝐵
= 𝑚𝑉𝐵
Kilogram+1 Meter+3
Define
𝐸 𝐵_𝐸 = 𝐸 𝐵_𝐸𝑎𝑟𝑡ℎ𝑠𝑢𝑟𝑓𝑎𝑐𝑒
𝐸 𝐵_𝐺𝑃𝑆 = 𝐸 𝐵_𝐴 𝑓𝑜𝑟 𝑎𝑙𝑡𝑖𝑡𝑢𝑑𝑒 𝐴
𝐴 𝐺𝑃𝑆 = 35,786 𝑘𝑚
Then
𝑚 𝐷 = 𝑚3
𝐸 = 𝐸 𝐷3 = ℎ3 𝜈
𝐸 𝐷3_𝐸
𝐸 𝐵_𝐸
= ℎ3 𝜈 𝐵_𝐸
𝐸 𝐷3_𝐺𝑃𝑆
𝐸 𝐵_𝐺𝑃𝑆
= ℎ3 𝜈 𝐵_𝐺𝑃𝑆
𝐸 𝐵_𝐺𝑃𝑆 < 𝐸 𝐵_𝐸
ℎ𝜈 𝐵_𝐸 < ℎ𝜈 𝐵_𝐺𝑃𝑆
Post 8.2.2 is intended to further clarify energy production in Fibonacci energy space.