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The research aims to present a rigorous formulation of the Mittermeier RG attractor and its implications for particle-vacuum interactions.

February 26, 2026Open Access

The General Mittermeier Flow Equation: A Closed Two-Threshold RG Normal Form from the Planck–Boundary Constant to an α–π Vacuum–Particle Bridge

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The research aims to present a rigorous formulation of the Mittermeier RG attractor and its implications for particle-vacuum interactions.
Extraction of a two-threshold RG skeleton from the Mittermeier RG attractor
Development of a closed rational beta function for β_λ(u)
Definition and validation of parameters based on α_M, π, and e
Derivation of analytical invariants and unique inflection points
Constructed a beta function with specific known values and monotonic behavior
Identified an exact plateau level at 15/16 for β_λ(u)
Demonstrated a significant relationship between parameters and IR behavior
Numerically validated the values for β_λ(0), C, and the inflection point u_inf

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Uncovers a two-threshold RG normal form, revealing a vacuum-particle bridge and its implications in quantum gravity.

Rainer Andreas Mittermeier (2026) studied this question.

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