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
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
Z6 Type Lattice Projection
unit address:
s
unit monomial:
tp
source:
(0, 0, 0, 0, 0, 0)address order: (time, space, charge, temperature, mass, mol)
target:
(1, 0, 0, 0, 0, 0)
arrows work
after click
after click
view:
step numbers:
grid:
Step lists
Unit route
address order: (time, length, charge, temperature, mass, mol)
stepunit factoraddress after step1s(1, 0, 0, 0, 0, 0)
Unit-route details
unit monomial:
sunit net type:
(1, 0, 0, 0, 0, 0)route family:
1 admissible route; representative: canonical visualizationUnit Inspector
Unit type address
source:
t:0 l:0 q:0 T:0 m:0 n:0target:
t:1 l:0 q:0 T:0 m:0 n:0Δτ:
(1, 0, 0, 0, 0, 0)unit monomial:
sEndpoint checks
✓unit route lands at target type(0, 0, 0, 0, 0, 0) + (1, 0, 0, 0, 0, 0) = (1, 0, 0, 0, 0, 0)
✓unit displacement matches addressΔτ = (1, 0, 0, 0, 0, 0)
Unit Model Details
Unit basis registry
s — second
role:
time basetype address:
(1, 0, 0, 0, 0, 0)m — meter
role:
space basetype address:
(0, 1, 0, 0, 0, 0)C — coulomb
role:
charge basetype address:
(0, 0, 1, 0, 0, 0)K — kelvin
role:
temperature basetype address:
(0, 0, 0, 1, 0, 0)kg — kilogram
role:
mass basetype address:
(0, 0, 0, 0, 1, 0)mol — mole
role:
amount basetype address:
(0, 0, 0, 0, 0, 1)Unit families represented
Base units
entries:
6 unit addressesKinematic / reciprocal units
entries:
3 unit addressesReciprocal / density units
entries:
4 unit addressesMechanical units
entries:
5 unit addressesElectromagnetic units
entries:
8 unit addressesField / polarizability units
entries:
17 unit addressesThermal / molar units
entries:
11 unit addressesAction / spectral units
entries:
4 unit addressesGravitational / natural-unit powers
entries:
3 unit addresses