Ω^∞: A Universal Scaling Framework from Biological Metabolism to Particle Physics

B-Marker.org Universal Spacetime Scaling Project: Technical Report Vol. 1

[Abstract]
This publication introduces the Ω^∞ framework, a cross-scale spacetime scaling metric constructed entirely on the dimensionless Observer Index i(O) = 1.0911 and foundational numeric building blocks (1.6, 2.56, 41.4, and 𝝿). By stripping away conventional arbitrary institutional units (GeV, meters, seconds), the framework maps the conformal phase transitions and structural grid boundaries of the quantum field.

The empirical validity of this framework is rigorously cross-tested and locked against CERN LHC ATLAS open-access datasets via a high-precision 1 GeV selection window and ultimate 0.01 GeV (10 MeV) pixel-level matrix scans. 

[Core Structural Invariants Discovered & Logged]
Through the strict methodology of Multi-Binning Invariance, this ledger firmly anchors the following landmarks of the universal standing-wave field:

1. S(𝝿) Core Bedrock [3.141 GeV]: Verified as the absolute metric origin, where the J/ψ (3.097 GeV) particle is mathematically deconstructed as a secondary variant shifted off this 𝝿-base via lattice grid compression.
2. XS(1.6) Cornerstone [1.600 GeV]: Captured via systemic micro-scan event-count climbs and persistent -1.6708 derivative alpha dead-locks.
3. X(80.4) Gauge Anchor [80.42 GeV]: Flawlessly matching the W boson eigenmass via the exact quadratic 2.56 × 10𝝿 (25.6𝝿) binary projection.
4. X(130) Dark Matter Axis [130.05 GeV]: Locked precisely at the 4.14 × 10𝝿 node, verified by a definitive over-zero μμ chiral handshake.
5. X(256) Core Resonant Peak [256.75 GeV]: The central hub of the spectrum, derived via the (9𝝿)^2/𝝿 quadratic mass chain, validated by a synchronized 4-channel event explosion (+152 jj, +206 𝜸𝜸).
6. X(414) Decadic Gate [414.00 GeV]: Verified via a double divergence phase disruption, achieving a historical cross-validation against the real physical records of the ATLAS-PHOTO-2022-063 candidate event.
7. X(628) 200𝝿 Resonant Core [628.15 GeV]: Confirmed by a rigid 40-event largeR macro-surge that resolves into an exquisite "Peak-Zero-Void" matrix under 10 MeV micro-scans.
8. X(945) Multiplet Family [945.25 GeV]: Mapped via the 300𝝿 high-energy interface alongside its twin chiral zero-cores at X(975) and X(986).

[Open Science & Reproducibility Statement]
The Universal Spacetime Scaling Project operates fully under the CC-BY-4.0 open protocol. All computational procedures, code repositories, and raw event-count rankings are published without free parameters to ensure total transparency and unassisted empirical replication by the global independent research community.

© 2026 Gary Chiu (B). Published under B-Marker.org Universal Spacetime Scaling Project.

CERN ATLAS open data for educational purposes (Records 15000, 15003, 15006).
DOI:10.7483/OPENDATA.ATLAS.FRWJ.4ZQU
DOI:10.7483/OPENDATA.ATLAS.GQ1W.I9VI
DOI:10.7483/OPENDATA.ATLAS.B5BJ.3SGS

Ω^∞ Phase II: Dimensionless Grid Discretization and the 30𝝿 Universal Metric Singularity

The Dimensionless Observer Index  as a Holographic Refractive Scaling Factor in Quantum and Cosmological Phenomenology