The named tier
The observable-scale layer.
The problem
The base units are physics-complete — every standard equation works — but their magnitudes are atomic. A flip is 0.7 nanoseconds. A flip-length is 21 centimeters. A quantum is six millionths of an electronvolt. An observer working at human or astrophysical scales would spend all their time managing powers of ten. The named tier exists to solve this.
One rule
Every named-tier unit is exactly 10¹⁰ × its
base counterpart. The uppercase interstitial letter encodes the
jump: Ht☉ →
HT☉. The case distinction is
load-bearing — it is the 10¹⁰,
not a style choice.
Four named units
HT☉ BLIP — Baseline Increment Protium
10¹⁰ × Ht☉ ≈ 7.04 s
About one slow breath. A human-familiar timescale derived entirely from the hydrogen atom.
HL☉ CLIP — Common Length Increment Protium
10¹⁰ × Hl☉ ≈ 2.11 × 10⁹ m
About 2.1 million kilometers — several times the Earth–Moon distance. An astrophysical but graspable length.
HE☉ QUIP — Quantum Unit Increment Protium
10¹⁰ × He☉ ≈ 58.74 keV
The energy of a hard X-ray photon — well into the regime of nuclear and high-energy physics.
HM☉ CHIP — Core Hydrogen Increment Protium
10¹⁰ × Hm☉ ≈ 16.73 fg
The mass of ten billion protons — roughly the mass of a virus.
c = 1 survives
At the base tier,
c = 1 Hl☉/Ht☉. At the
named tier,
c = 1 HL☉/HT☉ = 1 CLIP/BLIP.
The 10¹⁰ appears in both numerator and denominator
and cancels. c = 1 is tier-invariant.
Not every quantity is tier-invariant — products like
h = E·τ pick up the scale
factor, which is why the base tier remains the physics-native
layer. Ratios like c are the scale-free exception.
The named tier is not a separate system — it is a view
of the same structure at a different scale.