Natural Numbers as Space-Time/Time-Space Conjugates
Posted: Tue Jun 16, 2020 11:11 am
Digits check.
Space-time Unity as Discrete recti-Euclidean Projection:
Time-space Unity as Discrete polar-Euclidean Projection:
Unity as Quaternion- Combined Affine, Metric, and Euclidean for Projection:
3D Coordinate/Extension Space (recti-Euclidean):
3D Coordinate/Extension Time (counter-spatial i.e. polar-Euclidean):
Apparent Natural Numbers (±One through Four about Zero):
Three (3) Apparent Equivalent Scalar Dimensions of Time as 0 → -∞ from Spatial Perspective:
Space-time Unity as Discrete recti-Euclidean Projection:
1 = Φ(π/4)2
Apparent c = √Φ ⇒ Φ = c2where π = 4/√Φ ⇒ 1/c = π/4 ⇒ (√m)2= (1/c)2= (π/4)2
E = mc2⇒ E = (π/4)2× (√Φ)2⇒ E = (1/c)2× c2⇒ E = 1
Time-space Unity as Discrete polar-Euclidean Projection:
1 = (4Π/√3)2φ4
Unity as Quaternion- Combined Affine, Metric, and Euclidean for Projection:
1 = Φ × φ = (16/π2) × 3/(16Π2φ3) = 3/(AΩ)2φ3 ⇒ (AΩ)2= (∛3/φ)3
Alpha (A) ⇒ π = 4/√Φ
Omega (Ω) ⇒ Π = √3/(2φ)2
3D Coordinate/Extension Space (recti-Euclidean):
Φ = 1/φ = 1/2+√5/2 = 1.618033989...
Φ2= 3/2+√5/2 = Φ + 1 = 2.618033989...
Φ3= 2+√5 = 4.236067977...
Φ3= Φ2± Φ = { 1, 4.236067977... } forms Conjugate 0 → ∞ Projected as 1 → ∞
3D Coordinate/Extension Time (counter-spatial i.e. polar-Euclidean):
φ = 1/Φ = -1/2-(√3/2)i = 0.618033989...
φ2= -1/2+(√3/2)i = 0.381966011...
φ3= -√3i = 0.236067977...
φ3= φ ± φ2 = { 1, 0.236067977... } forms Conjugate 0 → ∞ Projected as 1 → 0
Apparent Natural Numbers (±One through Four about Zero):
Three (3) Apparent Equivalent Scalar Dimensions of Time as 0 → -∞ from Spatial Perspective:
-4 = -Φ3+ φ3
-3 = -Φ2- φ2
Progression in Time ("backwards" speed of Light) or Gravitation in Space:-2 = -Φ - φ2
+∞ in Time, 0 in Space. Counter-spatial region: 0 → 1 from Spatial Perspective:-1 = -Φ + φ = -Φ × φ = φ × (1 + φ)
Progression as "speed of Light" (c=1) in Space, Gravitation in Time -- forms Spatial Perspective (natural datum offset 0 ⇒ 1):0 = Φ × ([Φ × (1 - Φ)] + 1) = φ × ([φ × (1 + φ)] - 1)
Three (3) Apparent Equivalent Scalar Dimensions of Space as 0 → +∞ from Spatial Perspective:+1 = Φ - φ = Φ × φ = Φ × (1 - Φ)
+2 = Φ + φ2
+3 = Φ2+ φ2
In His name.+4 = Φ3- φ3