Post_Number Systems_8.2.1
- 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.