Typed Boundary Calculus: Unit Model

A six-axis dimensional address model for the unit combinations that populate the constants of Nature. Each named unit is represented as a unit monomial, an admissible route family, and a net type displacement in the projected ℤ⁶ lattice.

Unit Selector

all moves from source
custom address
(,,,,,)

Base units

Kinematic / reciprocal units

Reciprocal / density units

Mechanical units

Electromagnetic units

Field / polarizability units

Thermal / molar units

Action / spectral units

Gravitational / natural-unit powers

Type Lattice Projection

origin grid
viewer state
source:
(0, 0, 0, 0, 0, 0)address order: (time, space, charge, temperature, mass, mol)
target:
(0, 0, 0, 0, 0, 0)
arrows work
after click
drag to rotate; dots are finite projected ℤ6 lattice addresses+t−t+l−l+q−q+T−T+m−m+n−n
unique colored segmentstime: 0 seg / 0 complength: 0 seg / 0 compcharge: 0 seg / 0 comptemperature: 0 seg / 0 compmass: 0 seg / 0 compamount: 0 seg / 0 comp
unit addresses: 61ordered paths drawn: 0theoretical ordered paths: 6,329,479capped units: 0unique endpoints: 61unique visited addresses: 0reused addresses: 0
view:
step numbers:
grid:
route:1 admissible route
Step lists
Unit route
address order: (time, length, charge, temperature, mass, mol)
stepunit factoraddress after step
Unit-route details
unit monomial: 1
unit net type: (0, 0, 0, 0, 0, 0)
route family: 1 admissible route; representative: canonical visualization

Unit Inspector

Unit type address

source: t:0 l:0 q:0 T:0 m:0 n:0
target: t:0 l:0 q:0 T:0 m:0 n:0
Δτ: (0, 0, 0, 0, 0, 0)
unit monomial: 1

Endpoint checks

✓unit route lands at target type(0, 0, 0, 0, 0, 0) + (0, 0, 0, 0, 0, 0) = (0, 0, 0, 0, 0, 0)
✓unit displacement matches addressΔτ = (0, 0, 0, 0, 0, 0)

Unit Model Details

Unit basis registry
s — second
role: time base
type address: (1, 0, 0, 0, 0, 0)
m — meter
role: space base
type address: (0, 1, 0, 0, 0, 0)
C — coulomb
role: charge base
type address: (0, 0, 1, 0, 0, 0)
K — kelvin
role: temperature base
type address: (0, 0, 0, 1, 0, 0)
kg — kilogram
role: mass base
type address: (0, 0, 0, 0, 1, 0)
mol — mole
role: amount base
type address: (0, 0, 0, 0, 0, 1)
Unit families represented
Base units
entries: 6 unit addresses
Kinematic / reciprocal units
entries: 3 unit addresses
Reciprocal / density units
entries: 4 unit addresses
Mechanical units
entries: 5 unit addresses
Electromagnetic units
entries: 8 unit addresses
Field / polarizability units
entries: 17 unit addresses
Thermal / molar units
entries: 11 unit addresses
Action / spectral units
entries: 4 unit addresses
Gravitational / natural-unit powers
entries: 3 unit addresses