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 8.3
Natural Events in Fibonacci Number Space
Parallel Processing Algorithms
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. It has been shown:
6.6260700 E -34 = 6.6260700 x (1 − 𝑅 𝐸
3
1⁄
5
2⁄
) x 10 -34
From posts 2 and 3, we could also write:
6.6260700 E-34 = 6.6260700 x (1∞ − 𝑅 𝐸
𝑓{3}
) x 10-34
A natural example:
1
𝑐3
2 =
1
35
2 𝑥 10−16
meter-2 sec+2
For F(n) = 4 where D = 5:
15 = (1 +
𝛾∞
𝑓
𝑇5→13
)
−1
(1 +
𝛾5
𝑓
𝑇5→13
)
+1
∫
1
𝑥
𝑒3
1
𝑑𝑥 = 1 𝑤ℎ𝑒𝑟𝑒 lim
𝑛→∞
(1 +
1
𝑛
)
𝑛
= 𝑒3 = 𝑒
ℎ = ℎ3 = 𝑏3 𝐸 𝐵 𝑥 𝑘𝑎𝑝𝑝𝑎 𝑤ℎ𝑒𝑟𝑒 𝐸 = (𝑚𝑎 𝑔)𝑥𝑏3

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>
Define
𝐸 𝐵 =
𝐸
𝑚
𝑥
1
𝑏_3
3
𝐸
𝐸 𝐵
= 𝑚𝑏_3
3
𝐸
𝐸 𝐵
= 𝑚𝑉3
𝐸
𝐸 𝐵
= 𝑚𝑉𝐵
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.
The arithmetic statement
1 𝐷 = (1 +
𝛾∞
𝑓
𝑇𝐷
)
−1
(1 +
𝛾 𝐷
𝑓
𝑇𝐷
)
+1
1
𝑐3
2 =
1
35
2 𝑥 10−16
𝑏3 =
1∞
35
2 𝐸 − (8+1
𝑥 2+1
)
𝑏3 =
1∞
𝑐𝐷+_1𝐷
𝐷−_1𝐷
Post 8.3.1 is intended to further clarify parallel processing through algorithms using Fibonacci
Number Space.