...follow me.

Scaling for Equivalent SPACE:

Scaling for Equivalent TIME:

We are able to discern π and Φ as discrete magnitudes in projection to (3D) equivalent space (+ clock time). Ultimately, this IS the

*apparent*spatial separation that provides for the concept of dimension along with the

*perceived*'flow of time'.

This is *not* the case with ϕ and Π, as being representative of projections of motion in (3D) coordinate time (+ clock space), we cannot see locations in time; however, we can see how motion in time

*effects*motion in space as an equivalence -- we call these "forces".

Here that equivalence is to reduce the motion in time to a

*net*effect in that we are only able to observe the

*ratio*of these two magnitudes in proportion -- two imaginary magnitudes become

*real*as one:

I want to call this anEquivalent Apparent Time

Quantume= ϕ/Π = (±i)/(±i/2) = 2 = 1+1

*apparent-equivalent*equivalent apparent space -- as adding a leading 'apparent-equivalent' pejorative flips the whole thing (in 3D) from time to space in our mind -- and suspect this is the '

**2**' that forms the base of the scalar-to-coordinate dimensional expansion series, analogous to how

*e*is used as "½" of the

*projective*equivalence where

*e*

^{πi}+ 1 = 0.

There's a very good reason the '±' are contained within as here these are

*polarities*for the formation of

*poles*. When we mix these we get

*scalar*combinations '++', '+-', '-+', and '--' as

*conjugate*products of

**two**

*roots*.

Recall that as '++' and '--' are separate "directions" they cannot be discerned

*in coordinate space*i.e. they are

*different*but in the same manner, and as there is no direction change ('+' → '-' or '-' → '+'), and

*order of operations matters*; this set of four polarities (

**2**of

**2**D poles as '±') are reduced to a set of 3 as (1) no change, (2) change in aspect one as scalar time followed by change in aspect two as scalar space, (3) and change in aspect one as scalar space followed by change in aspect two as scalar time.

Here they are:

**2**

^{1}= 2,

**2**

^{2}= 4, and

**2**

^{3}= 8 as equivalent scalar "directions" (UoM) for motions in 1, 2, or 3

*scalar*dimensions: The Affine (1 scalar dimension below the "speed of light"), The Metric (2 scalar dimensions below the "speed of light"), and The Euclidean (3 scalar dimensions below the "speed of light").

We recall

**2**

^{0}= 1 is reserved for the Projective stratum (4 "points" at infinity).

Cheat sheet a.k.a. Definitions:

An 'apparently-equivalent equivalently-apparent' perspective forms aFIRST Equivalent ReciprocalisApparentmeansapparentInverse of theaspectsof space and time -- simple 1x1D inversion i.e. flip it!: e.g. One (1)apparentpole inverts to form 2apparentpolarities.

SECOND Equivalent ReciprocalisEquivalentmeansConjugate (which must be treated differently asaspectsof space and time as conjugation implies discrete geometry) -- 1x2D invert: e.g. Two (2)apparently-2D polarities inversely conjugate to form four (4) as anapparentthree (3).

THIRD Equivalent ReciprocalisApparent-equivalentmeansInverse-conjugate and is a 2D mixing of a pair of 2-dimensional rotational relationships (in space-time and/or time-space) -- 2x2D invert and hold invariant one "point" to allow for geometric casting to (3D) coordinate system plus a clock: e.g. Two (2) sets of three (3) of equivalently-apparently-3D conjugates inversely combine to form four (4) sets of four (4) as apparently-equivalent equivalently-apparentperspectives.

Note: Operations are applied in order of "inside-out"with respect tothe operations/dimensions as/of primary operator. For example: a big, green apple is primary operator 'apple' where 'green' is first operand (discernment), and 'big' is second operand, etc. as nettemporaldisplacements would be soorderedinequivalent space

*boundary*perspective. Apparently-equivalent IS the inverse-conjugate of equivalently-apparent hence this IS a

**unit**boundary -- a 3D pole. In this case a

*perceived*"local" unit boundary as it is totally

*apparent*. This forms the boundary space as a 3D "bubble" for containing a

**quad**(2x2) projected set of 3D holographic

*perspectives*as two pairs of coordinate systems, each with their own inverse-conjugate clock. Welcome to the The Desert of The Real.

We recall, there is only UNITY.

*Everything*is reducible to One.

Inverse (i.e. apparent-equivalent) Quantum

*e*is then 1/

**2**(also

*real*) or what we call the 'Half-life' of radioactive decay:

This is aApparent-Equivalent Equivalent Apparent Time:

"Think3D" Inverse Quantume= 1/2 = 1/(1+1)

a.k.a. Half-life

*double*-equivalence... an

*equivalent*equivalent scalar magnitude. There are three labels applied to time. Why is this not a triple equivalence? The answer is to do with our non-observance of

*true*Space and Time, we observe equivalent space and equivalent time, the first derivative of Space and Time only; and because these are but abstractions to our mind they are but

*aspects*of space and time. As such, these polarities as root magnitudes are always

*apparent*. This is implied as applied to the Affine down to the Euclidean.

The

*so-called*half-life is how we experience an apparent-equivalent linear-step time evolution of an exponential growth series in time (increasing squares as OUTWARD motion from UNITY) as equivalent space in apparent time i.e. 3D coordinate space + CLOCK TIME (Whew! Thinking in 3D can be challenging!)

This is a

*temporal*atomic supernova -- explosion in time ↔ implosion in space -- the net magnitude of which plays out in (3D) coordinate space as 'half-life' to our perspective as this motion in time must be scaled to an equivalent clock in all 3 scalar dimensions to allow for 3D inversion (reciprocation) in preparation for an equivalent

*apparent*projection to be made by differentiation

*with respect to*CLOCK TIME, a unit boundary (i.e. light or the "speed of light"), or CLOCK SPACE, the same unit boundary inversely expressed.

We can see how we had to cast across two

*apparent*(polarity-based) boundaries... that's a

*double*-cast and yep, we HAD to translation to the Metric to convert to an equivalence (an 'equivalent-equivalence') on the other side of the

*perceived*"local" unit boundary.

Another possible link:

Placing Φ and π in proportion and rooting (transforms equivalence space →

*equivalent*equivalent space)*: e.g. Φ/π = √(1/4) =

**1/2**

* object-oriented programmers will recognize this as a pointer to a pointer for passing complex data structures or routine entry points as arguments to other routines. The Universe appears to use a 3-tuple pair of binary flip-flops as pointers to pointers to pointers for determining "location" in either projective (3D coordinate) space or projective (3D coordinate) time. The final bit selects Parity as "direction".