Now, on the physical timeline
—
exact rational TAI seconds since 1970-01-01T00:00:00 TAI
· civil — UTC
· — s ahead of UTC
· sync assumed NTP-disciplined (±100 ms)
The 1/3-second clock — 3 states, modulo math
state 2 is
ic1:c:w=1/3;m=3;phi=2/3alias
—One revolution per period; the sweep is the phasor.
The three siblings partition all of time — children tile the parent,
exactly like H3 cells.
Decimal grid — which state of each 10× cycle
Φ(10ᵏ s, 10): epoch-anchored, one digit per scale.
The divisibility lattice has no privileged branching — this is one
named chain through it.
Calendar cells containing this instant (civil lens)
Symbolic names; resolutions are stamped with
leap-table + tzdata versions. Leap-second days are 86 401 s and the
lens knows it.
Your own grid
width w
states m
now in
—alias
—