user737 wrote: ↑Wed Jun 03, 2020 2:58 pm

True reciprocity demands absolute symmetry.

user737 wrote: ↑Mon Jun 01, 2020 12:10 pm

*** Observing from this scalar "direction" is 3D coordinate space + clock time ***

**All/One** as

**Three** (

**Four** as 3 of 3 plus 1) planes at P

_{∞} due

*perspective*: Outward is P

_{0}→Π

_{∞} ⇒ c-Projective stratum

**None** as

**Zero** (0 of 3 as

**Four** minus 1) points at Π

_{∞} ⇒ m-Affine stratum ⇔ c-Euclidean stratum ⇐

**Two** (2 of 3) planes at P

_{∞}
**One** (1 of 3) points at Π

_{∞} ⇒ m-Metric stratum ⇔ c-Metric stratum ⇐

**One** (1 of 3) planes at P

_{∞}
**Two** (2 of 3) points at Π

_{∞} ⇒ m-Euclidean stratum ⇔ c-Affine stratum ⇐

**None** as

**Zero** (0 of 3 as

**Four** minus 1) planes at P

_{∞}
**All/One** as

**Three** (

**Four** as 3 of 3 plus 1) points at Π

_{∞} due

*perspective*: Outward is Π

_{0}→P

_{∞} ⇒ m-Projective stratum

*** Observing from this scalar "direction" is 3D coordinate time + clock space ***

...

The inner transmission mechanism is m-Metric ⇔ c-Metric as 1:1 gearing where 2

^{1}:2

^{1} →

*e*^{πi} +

*e*^{-πi} = 2cos(x) is the

*net* *equivalent* (2D→1D) motion. Rotational (temporal) operator/dimension

*j* changes “gears” (1→2 or 2→1). Gears are the total (count) of scalar dimensions expressed as exponents. There are really only 2 sets of 2 gears (inter)posing as two reciprocal sets of 3DOF (coordinate projections). Dual magnetic (dual double, double rotational -- '4x4') at the core making the

*uni*-Verse one, big Dual Quaternion (Q16).

Dividing 2D magnetic motion into a pair set of

*apparent* opposite polarity

*equivalent* 1D motions begets m-Electric (Φ

^{1} →

*e*^{0πi} =

*e*^{0} = 1 ⇒ ±π) & c-Electric (-Φ

^{1} → -

*e*^{0πi} =

*e*-

^{0} = -1 ⇒ ±π). This means the positron and anti-positron (the electron), the simplest of the rotational motion, are indeed the same dual quaternion as observed from reciprocal scalar "directions" wherein the true 3D scalar motion has been reduced to a net equivalent 1D motion in space-time (coordinate-datum based):

±Φ^{3}, ±1 = Φ^{2} + Φ^{1} AND Φ^{2} - Φ^{1}

The exponents in the above expression are zero-datum based as it holds for

*equivalent* spatial motion whereas there

*are no* exponents used at the Projective stratum (NRS) i.e. UNITY-based: 2

^{0} = 1. The offset in exponential expression IS the scalar ↔ coordinate system datum offset of 0→1 (the "speed of light")! This is saying that the dual magnetic motion that comprises (3D) coordinate space -- note: must switch

*perspective* to an infinitely-self referential π-based series for (3D) coordinate time -- IS a pair ('and' means 'product' of

*differences* in counterspace) of oppositely (

*reciprocally*) rotating equivalently-norm'ed

*conjugate* quaternions -- the dual quaternion.

From one perspective (looking "downwards" as diagramed i.e. Outwards), we experience

**All/One** as

**Three** as a finite, discrete Everything (Every

*when*) as

*inverse* Progression in clock space (TR of m-Electric particles & m-Magnetic atoms), and simultaneously in time as an infinite, equivalent Everything (Every

*where*) as a Trinity of

*spatial* (3D) coordinates + clock time with

*local* distributed (net radial bi-rotational “spin” circumferentially about a center "point") scalar motions i.e. 1D current (s/t) as the electron, 2D current (s

^{2}/t

^{2}) as the electron neutrino, and gravity (s

^{3}/t

^{3}) as equivalent 1D/2D/3D

*speed*.

Whilst simultaneously in space, from the other/opposite (reciprocal) perspective (looking "upwards" i.e. Inwards), we experience

**All/One** as

**Three** as a finite, discrete Nothing (No

*when*) as Progression in clock time (SR of c-Electric inverse-particles & c-Magnetic inverse-atoms i.e. anti-matter), and also simultaneously in space, as an infinite, equivalent

Nothing (No

*where*) as a Trinity of

*temporal* (3D) coordinates + clock space with

*non-local* distributed (net linear bi-vectoral push/pull orthogonal to a plane) scalar motions i.e. electric (t/s) "field", magnetic (t

^{2}/s

^{2}) "field", and mass (t

^{3}/s

^{3}) "field" as equivalent 1D/2D/3D

*energy*.

The difference lies in which aspect of motion is considered

*primary* (IS linear) and which aspect of motion is thereby designated

*secondary* (IS rotational). Linear space with rotational time is 3D coordinate space (plus clock time); rotational space with linear time is 3D coordinate time (plus clock space).

Space is *not* linear. Time is *not* rotational. They are the aspect of

*one* motion. Which is which is entirely observer-based and is

*the* fundamental assumption (our

Prerogative) on which

*all else* is based. Regardless of which perspective is formed, all regions (total of 6→3) are experienced simultaneously in space-time and time-space. All that “changes” is which Effects are observed *to be* experienced

*local* versus those that are *not to be* experienced as local (i.e

*non-local*). Locality is entirely a matter of

*perspective*.