1 = Φπckiit wrote: ↑Mon May 04, 2020 6:46 pmI was not aware of the work of Dan Winter prior to this,

but seeing more evidence which substantiates Φ as being

integral to the actual mechanics of the universe is great,

thus here is a brief reflection:

That the golden ratio is accurate on the level of hydrogen radii

lends itself to the intrinsic Φ and π relation in-of-as π = 4/√Φ.

Importantly: if/when squaring this relation, π² = 16/Φ

and can be written simply as (8√5 - 8) like an octave:

e = MC²

e = M(8√5 - 8)

____________

e = 8M√5 - 8M

M = e(√5+1) / 32

See the implicit relation if/when solving for M?

That is afractionof the golden ratio,

requiring only the "32" become a "2"

per unit of energy, thus set equal to 16:

16 = M(√5+1) / 32

M = (√5+1) / 2

M = Φ

e = MC²

e = ((√5+1)/2)(8√5 - 8)

16 = Φπ²

1 = Φπ²/16

^{2}/16

Φ = ½ × (√5 + 1)

π

^{2}= 8 × (√5 - 1)

*Multiplicative*conjugates.

(√5 + 1)(√5 - 1) = 5 + √5 - √5 - 1 = 4

Base 4 and as we know: (√Φ)π = 4 or π = 4/√Φ

To get to 16 (the square) we need another 4.

That multiplicative conjugate pair is: ½ × 8 = 4

Discrete projections are always irrational measure of absolute ratio (about unity) i.e. distributed scalar motion in coordinate space.

Einstein (see: piker) solved for the Discrete. This solves for the Projective.

This is.... yep, another

**quaternion**where q = < 1,

*i*,

*j*,

*k*>

The

*k*coefficient captures Φ (the 1D electric rotation) and the

*i*and

*j*coefficients capture π

^{2}(the 2D magnetic rotation). One (1) is the linear speed of progression (i.e. "speed of light") and must be reduced to unity to allow for scaling to unit time for projection in coordinate space.