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Theory of
Fibonacci Dimensionless Mathematics
and
Suggested Change in Trailing Digits of Speed of Light c
for 3-Dimensional Space
Abstract
Introduction
Math Summary
For the following Fibonacci definition of the number 1:
1 = [1 +
2
5
^
3
1
^
5
2
^
8
3
^
13
5
^
21
8
^
34
13
… ^
1
𝛾
]
−1
or
1 =
[
1 +
2
5
3
1
5
2
8
3
13
5
21
8 . . . ^
1
𝛾
]
−1
where:
𝛾 = lim
𝑛→ ∞
𝐹 𝑛−2
𝐹 𝑛
𝐹(𝑛) = 𝐹(𝑛 − 2) + 𝐹(𝑛 − 1)
with seed values 0 and 1,
we show:
verification of calculations provided in Appendix B
1 = 1∞
1 𝑝 = 1 𝑝𝑒𝑟𝑐𝑒𝑖𝑣𝑒𝑑
𝑓 = 𝛾{3}
−1
=
3
1
5
2
𝜋−1
=
1
𝐶2
=
21 + 1
8 − 1
Ĺ =
1
𝐶8
= (1 − 𝜙8) = 1 −
8
13
(1 − 𝜙) = 𝛾 = 𝛾∞
𝑅 𝐸 = [(𝛾−1)^ (𝛾−1)] −1
𝑇3→8 = (1 + 𝑅 𝐸
8
5
^
13
8
)
1 𝑝 = [1 +
𝛾 𝑓
𝑇3→8
]
−1
𝑥 (1 +
Ĺ 𝑓
𝑇3→8
)
3 𝑥 1 𝑝 = 2.99792371
This model suggests:
𝑐 = 3𝐸 + 8 𝑖𝑛 𝑀𝐾𝑆 𝑢𝑛𝑖𝑡𝑠
𝑐 = 2.99792371𝐸 + 8 𝑎𝑠 𝑝𝑒𝑟𝑐𝑒𝑖𝑣𝑒𝑑
where we acknowledge:
𝑐 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 = 2.99792458𝐸 + 8
Mathematic of Calculation

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Speed of Light

  • 1. Theory of Fibonacci Dimensionless Mathematics and Suggested Change in Trailing Digits of Speed of Light c for 3-Dimensional Space Abstract Introduction Math Summary For the following Fibonacci definition of the number 1: 1 = [1 + 2 5 ^ 3 1 ^ 5 2 ^ 8 3 ^ 13 5 ^ 21 8 ^ 34 13 … ^ 1 𝛾 ] −1 or 1 = [ 1 + 2 5 3 1 5 2 8 3 13 5 21 8 . . . ^ 1 𝛾 ] −1 where:
  • 2. 𝛾 = lim 𝑛→ ∞ 𝐹 𝑛−2 𝐹 𝑛 𝐹(𝑛) = 𝐹(𝑛 − 2) + 𝐹(𝑛 − 1) with seed values 0 and 1, we show: verification of calculations provided in Appendix B 1 = 1∞ 1 𝑝 = 1 𝑝𝑒𝑟𝑐𝑒𝑖𝑣𝑒𝑑 𝑓 = 𝛾{3} −1 = 3 1 5 2 𝜋−1 = 1 𝐶2 = 21 + 1 8 − 1 Ĺ = 1 𝐶8 = (1 − 𝜙8) = 1 − 8 13 (1 − 𝜙) = 𝛾 = 𝛾∞ 𝑅 𝐸 = [(𝛾−1)^ (𝛾−1)] −1 𝑇3→8 = (1 + 𝑅 𝐸 8 5 ^ 13 8 ) 1 𝑝 = [1 + 𝛾 𝑓 𝑇3→8 ] −1 𝑥 (1 + Ĺ 𝑓 𝑇3→8 ) 3 𝑥 1 𝑝 = 2.99792371 This model suggests:
  • 3. 𝑐 = 3𝐸 + 8 𝑖𝑛 𝑀𝐾𝑆 𝑢𝑛𝑖𝑡𝑠 𝑐 = 2.99792371𝐸 + 8 𝑎𝑠 𝑝𝑒𝑟𝑐𝑒𝑖𝑣𝑒𝑑 where we acknowledge: 𝑐 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑑 = 2.99792458𝐸 + 8 Mathematic of Calculation