PROTIUM — Verification

Verification

PROTIUM v0.5.6

Timestamp Verification

A decoder who receives two or more signed lines:

Converts each HT☉ power to a blip count (10ⁿ)
Multiplies by BLIP duration to get elapsed seconds
Subtracts from each event’s known absolute timestamp
Obtains an independent estimate of the signing moment from each line
Confirms all lines agree — agreement verifies the unit system, GR framework, and signing integrity simultaneously

Mass Verification Protocol

Each GW event in the catalog carries an independently observable chirp mass. Expressing that mass in geometric flip units produces a conversion ratio verifiable without anthropocentric unit conventions. Consistency across multiple events confirms the PROTIUM mass convention — each event is an independent model weight in an overdetermined system.

Conversion chain (human entry point → universal):

ℳ (M☉)
  × GM☉/c³ = 4.92549 × 10⁻⁶ s per M☉   → ℳ in geometric seconds
  ÷ τ(H) = 7.04024 × 10⁻¹⁰ s            → ℳ in geometric flips

GM☉ = 1.3271244 × 10²⁰ m³/s² (IAU 2015 nominal solar mass parameter). The nominal GM☉ is measured directly from planetary dynamics to far higher precision than G or M☉ separately — using it removes the gravitational constant’s measurement uncertainty from the verification chain entirely.

Event	ℳ_det (M☉)	ℳ_det (geometric flips)
GW150914	28.3	~197,992
GW170817	1.186	~8,297
GW200115	2.58	~18,021

Consistency of the flip-count ratio across catalog events confirms the convention. M☉ is recovered as a byproduct of the verification — it is not assumed.

1 M☉ = 6,996.2 geometric flips. This relationship between solar mass and the hydrogen flip period is a consequence of the physical constants governing stellar mass scales — not a definition. A decoder who independently derives ~6,996 flips per solar mass has confirmed both the PROTIUM time unit and the geometric mass conversion simultaneously.

Reference Events

GW events are explicit time zero points for the HT☉ signing exponent. HT☉ powers shown are reference values, not current — recalculate from the signing procedure for a live timestamp. ℳ values are detector-frame — divide by (1+z) to recover source-frame. One reference event per schema demonstrates each null-state profile.

GW150914 BBH 2015-09-14T09:50:45Z

HT☉GW150914 [28.3 | 0.82 | −0.04 | 0.67 | ∅ ‖ 0.09 | 410]

First gravitational wave detection. Signing base for redacted.space.

ℳ_det = 28.3 M☉ = ~197,992 geometric flips.

ℳ_det	q	χ_eff	a_f	Λ̃	z	D_L
28.3 M☉ ±2	0.82 ±0.05	−0.04 +0.12/−0.14	0.67 +0.05/−0.07	∅	0.09 +0.03/−0.04	410 Mpc · Hl☉^25.778

GW170817 BNS 2017-08-17T12:41:04Z

HT☉GW170817 [1.19 | 0.90 | 0.00 | ⧖ | 800 ‖ 0.008 | 40]

First multi-messenger GW event. z directly measured spectroscopically from host galaxy NGC 4993. GRB 170817A delay of 1.7s constrains GW/photon speed difference to < 10⁻¹⁵.

ℳ_det = 1.186 M☉ = ~8,297 geometric flips.

ℳ_det	q	χ_eff	a_f	Λ̃	z	D_L
1.186 M☉ ±0.001	~0.90 (0.73–1.0)	0.00	⧖	≤800	0.008 +0.002/−0.003	40 Mpc · Hl☉^24.767

GW200115 NSBH 2020-01-15T04:23:09Z

HT☉GW200115 [2.58 | 0.24 | −0.15 | ⧖ | ⧖ ‖ 0.06 | 290]

First confident neutron star–black hole merger with three-detector observation. No electromagnetic counterpart detected. Demonstrates the NSBH null-state profile: Λ̃ is physically present but beyond current detector capability; a_f is in principle measurable (Kerr remnant) but ⧖ at current SNR. Parameter values from GWTC-3 catalog posterior medians.

ℳ_det = 2.58 M☉ = ~18,021 geometric flips.

ℳ_det	q	χ_eff	a_f	Λ̃	z	D_L
2.58 M☉ ±0.08	0.24 +0.35/−0.10	−0.15 +0.25/−0.35	⧖	⧖	0.06	290 Mpc · Hl☉^25.627

Position Reconstruction

Four or more signed lines with measured z and D_L place the sender on intersecting spherical shells. Four well-separated events uniquely determine position in the observable universe. Precision scales with event count and angular separation; systematic floor ~tens of Mpc from cosmological model uncertainty and weak lensing.

Inverse Strain Metric (ISM): The pattern of strain amplitude residuals across many events encodes a local gravitational environment fingerprint, raising positional fidelity beyond the systematic floor.