Scattering in the Absolute Frame Theory: Status and Route
Year: 2026
Type: preprint
Abstract: In 1949 Pauli and Villars distinguished a realistic regularization of quantum field theory, whose auxiliary particles belong to the physical theory, from a formalistic one, whose auxiliary masses are mathematical parameters sent to infinity. A framework that claims a physical regulator owes an account of quantum scattering. This note records what the Absolute Frame Theory (AFT) currently establishes about that phenomenon, and what it does not, in four layers. The first is the structural reading of a collision (a reconfiguration of the embedding, with the Born rule derived along the aliasing route under a declared hypothesis). The second is the constructive record (finite-volume reflection positivity, infinite-volume states, clustering below an explicit threshold, and a conditional, Euclidean-restored gauge gap). The third separates the regulator question from the amplitude question. The fourth is five collider-level statements. No new theorem is proved here. The note fixes the route from the Euclidean record to amplitudes (Osterwalder–Schrader reconstruction, Haag–Ruelle asymptotics, and the Lehmann–Symanzik–Zimmermann reduction). It names the three hypotheses on which that route rests, states which parts of each hypothesis companion papers already establish, and separates what is derived from what is conditional and what is open.
Author: Valenzuela, Patricio E.
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225747488
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