## Unity and Phi^3

Discussion concerning the first major re-evaluation of Dewey B. Larson's Reciprocal System of theory, updated to include counterspace (Etheric spaces), projective geometry, and the non-local aspects of time/space.
user737
Posts: 163
Joined: Wed Oct 24, 2018 7:39 pm

### Natural Numbers as Space-Time/Time-Space Conjugates

Digits check.

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
-2 = -Φ - φ2
Progression in Time ("backwards" speed of Light) or Gravitation in Space:
-1 = -Φ + φ = -Φ × φ = φ × (1 + φ)
+∞ in Time, 0 in Space. Counter-spatial region: 0 → 1 from Spatial Perspective:
0 = Φ × ([Φ × (1 - Φ)] + 1) = φ × ([φ × (1 + φ)] - 1)
Progression as "speed of Light" (c=1) in Space, Gravitation in Time -- forms Spatial Perspective (natural datum offset 0 ⇒ 1):
+1 = Φ - φ = Φ × φ = Φ × (1 - Φ)
Three (3) Apparent Equivalent Scalar Dimensions of Space as 0 → +∞ from Spatial Perspective:
+2 = Φ + φ2
+3 = Φ2+ φ2
+4 = Φ3- φ3
In His name.
Infinite Rider on the Big Dogma

user737
Posts: 163
Joined: Wed Oct 24, 2018 7:39 pm

### Stereographic 2D: 2x2D (4D) Scalar -> Coordinate 3D + CLOCK MeasureProblem.png (7.52 KiB) Viewed 119 times SpeedEnergy.png (24.53 KiB) Viewed 119 times SpaceCS.png (22.86 KiB) Viewed 119 times Perspective.png (81.34 KiB) Viewed 73 times DimensionalRegions.png (185.81 KiB) Viewed 65 times

In His name.
Infinite Rider on the Big Dogma

Djchrismac
Posts: 138
Joined: Fri Nov 08, 2013 7:14 pm

### Re: Unity and Phi^3

Great work user737, I love the simplicity and symmetry of the diagrams as it takes something that many would see as extremely complex and lays it out in basic form, no fudges or dark matter or mainstream scientific nonsense, just everything boiled down to that ratio between space and time in a universe of motion. It's how nature likes it, natural physics.

"Complexity is entertaining, simplicity is not" Dewey B. Larson & favourite phrase of Bruce Peret.

You've only gone and done this again!  