Meg3. Rest Time — Dimensional Unit Assignment

Meg3. Rest Time — Dimensional Unit Assignment
φ in second-moment units
Ace Consultancy · Rey.BEng 16th September 2026

This page separates the letters so dimensional analysis can be run without the ontology talking over it. Rest Time is the packet (h) and the hold (f). Every other mark is assigned here once. Superscript without a tick is an ordinary power, written (n) or ⁽ⁿ⁾ when it must not be read as a journey. A tick is a journey. Seconds marked{2} can take a tick if this journey is intended.

Distance

Member	Unit	Role
Observational	m^	length
Real	m^²	area
Simultaneous	m⁽³⁾	volume; can
Instant	m^⁴	centroid; Time-Particle axis

Time

Member	Unit	Role
Observational	ContSec	continuous second; Algebraic Real arena
Real	RealSec; (h)	packet
Simultaneous	m.s as time; N^/m⁽²⁾	duration; vortex skin
Instant	k.g.s^2	package of the instant

Lewe, ’06 Abb. 9 places the supports. m.s is the product along the support.

Force package

N  =  k · g · s^2

Letter	Unit sense	Role
(k)	pulse	CMB-2 relative to CMB-1; $T_0=2.725\,\mathrm{K}$ , $\Delta T\approx 3.365\,\mathrm{mK}$ ; hold $+$
(g)	vector	clamp to m^⁴ centroid; Lewe 1906
s^²	area of time	countersnap; 1st to 2nd moment, CMB-1 to CMB-2

Real Force, first principles:

N^ m / s²

One tick on (N). Do not spend ^^ =2 twice.

Residuals and carriers

Mark	Unit	Role
residual speed, c	m^/s	Observational length over time
σR	m/s^²	celerity squared; whip; $2^-$; State A precession
^i^	TBC	no units for now; angel
α	arcsec	disc-to-rim tilt
r^m=πE^^	growth face	1st shell
(f)	duration	line to circle; or f ^^ if the two firing ticks are (f)

Infinity — stance-relative

			
from Observational (disinterested)     ^s^{(3)} / m^{(2)}
from ^i^                               3^s / √(2 i m)

Orthogonal surface energy is spent. Close +.

Organised conservation

E  =  m^(c^2)

Mass: first moment (base).
c^²: second moment (stroke counted).
View from a Part. Tick before the square. Not c^m

Joint (Lewe [40]):

F ⟨i⟩ M  =  3s / √(2m)

Conclusion — units of $\varphi$

The last constant lettered on the contact:

1/φ  =  φ − 1

Lead $\pi_N$ for the harmonic seat. Involution; State A / B is direction of the fold, not a third unit.

φ     m^4

Second moment. Limit of entropy:

S  =  φ^{m(4)}

Origami from flat: right-over-left or left-over-right. Bending is the power. Source is $s^3$. Choose $+/-$. Do not live in strive.

Dimensional check of the involution (same house):

			
φ          m^4
1/φ        1/m^4
φ − 1      m^4 − 1     (1 is the locked-cell count, dimensionless as mark)

The identity is geometric, not an SI homogeneous line until (1) is read as the locked cell carried by the tick, not as a metre. Rest Time assignment: $\varphi$ lives on Instant’s centroid band. That is why the second moment can choose it.

Strip for the drawing

			
Distance
  Observational          m^
  Real                   m^2
  Simultaneous           m(3)
  Instant                m^4
Time
  Observational          ContSec
  Real                   h  RealSec parcel
  Simultaneous           m.s product
Tension
  Ring / boundary        σ_R     m/s²
  Simultaneous           N^/m{2}
  Moment                 N^ m s{2}
  Instantaneous          N^ m/s²
Residuals
  Instant package        k.g.s^2
  Centroid               φ       m^4
  Entropy limit          S = φ^{m(4)}
  Elastic energy         E = m^(c^2)
  State A                1^/φ  =>  φ-^1
  State B                φ-^1  =>  1^/φ     (−1/2 + judder)
Power
  A                      3^s / √(2 i m)
  B                      ∞ ^s(3) / m(2)
Now
  Toggle                 A +/− (choice)    B −/− (default)

		

			
Meg3
Rest Time — Dimensional Unit Assignment
Ace x