Standard Model Companion

The Standard Model of particle physics is a highly successful mathematical structure built on quantum fields, gauge symmetries, and fixed particle types. But in a coherence-based framework like PBG, none of these elements are necessary.

This companion outlines how each component of the Standard Model is replaced—not reinterpreted, but dissolved—within the modal structure of Phase-Biased Geometry.

There are no particles.
There are no fields.
There is only coherence: structured, anchored, or failing.

What This Replaces

Each of the following Standard Model concepts is replaced with a coherence-based analogue:

• Mass — from anchoring persistence
• Charge — from phase winding asymmetry
• Spin — from topological coherence loops
• Gauge Symmetries — from invariance in anchoring cost
• Decay — from coherence saturation and instability
• Neutrinos — from minimally-anchored drifting modes
• Forces — from bias gradients, not field interactions
• Fermions/Bosons — from coherence exclusion or overlap
• Photon — from modal phase propagation, not EM field quanta

Structure of This Companion

Each section addresses a core component of the Standard Model and shows how it is replaced in PBG:

• Mass from Anchoring
• Charge from Phase Winding
• Spin from Topology
• Gauge Symmetries
• Decay as Saturation
• Neutrinos
• Photon Structure
• Anomalous Magnetic Moment
• Lamb Shift
• Casimir Pressure