What question did this study set out to answer?

This work aims to establish a geometric framework for understanding discrete particle-mass hierarchies.

April 4, 2026Open Access

Geometric Constraints on Discrete Particle-Mass Hierarchies from a 1+2-Dimensional Arc Manifold

View Full Paper

Ask AI

Bookmark

This work aims to establish a geometric framework for understanding discrete particle-mass hierarchies.
Introduced a six-layer 'Support-Action Hierarchy' to examine geometric admissibility.
Defined observables as dimensionless mass ratios to address inconsistencies.
Developed a deterministic form of the framework based on projection data in a 1+2-dimensional arc manifold.
Outlined limitations and falsification protocols for the framework.
Demonstrated that topological closure is constrained by geometrically admissible operations.
Showed that discrete particle mass ratios can emerge from geometric constraints rather than empirical data.
Established a formal structure that supports the mathematical logic of the proposed framework.

No takes yet. Share an insight, caveat, or question.

Formulates geometric constraints on particle-mass hierarchies, suggesting a new framework for analysis.

Frank F. (Arcman) Meng (2026) studied this question.

View Full Paper

Ask AI

Bookmark