1. The document discusses number systems, specifically exploring their use in physical and computational sciences. It establishes definitions and ratios for natural events and energies using Fibonacci numbers and dimensional analysis.
2. Key definitions and ratios established include an energy ratio (E/EB) equal to the product of mass and a dimensional boundary volume, where EB represents a dimensionless ratio that should be independent of measurement units.
3. Natural examples are provided to illustrate these definitions and ratios, including the spatial symmetry of the CH3 molecule, lowest energy states, and definitions of units like meters based on Earth's geometry.
Number Systems Background and Natural Events in Fibonacci Number 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 8.1.3
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:
To be rigorous, energy can be defined as a ratio:
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
2. 𝐸 𝐵 = 𝑑𝑖𝑚𝑒𝑛𝑠𝑖𝑜𝑛𝑎𝑙 𝑏𝑜𝑢𝑛𝑑𝑎𝑟𝑦 𝑣𝑜𝑙𝑢𝑚𝑒
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.
Define
𝑀𝑎𝑠𝑠 𝑈𝑛𝑖𝑡 =
𝑀𝑎𝑠𝑠
𝐸𝑙𝑒𝑐𝑡𝑟𝑜𝑛 𝑀𝑎𝑠𝑠
Attribute
𝑞 𝑒 = −
𝑞 𝑝 = +
𝑞 𝑛 = 𝑁𝑜𝑛𝑒
𝑚 𝑒 = 1
Measurement
𝑚 𝑝 = 1836 x 1
𝑚 𝑛= 𝑚 𝑝
Then
6.8 𝑒𝑉 = 1𝑘𝑔 𝑥
𝐸 𝐵_𝐸
10+2
Earth surface energy E3 should not be continuous in Fibonacci dimensional space D=3.
Post 8.1.4 is intended to further clarify the significance of CH3 in Fibonacci energy space.