Information Field Theory I: An Infoton Hierarchy; Information Field Theory II: Photon-Line Falsification and Statistical Learning
Year: 2026
Type: preprint
Abstract: We develop an effective field theory of irreversible information flow as an emergent dissipativescalar ϕ(x) in the Schwinger–Keldysh nonequilibrium class with dynamical KMS symmetry. Theelementary excitation of ϕ, named the infoton, is identified as a generalized information quantumwhose local rest energy is the Landauer cost kBTloc ln 2 and whose existence in classical, quantum,and quantum-gravitational substrates unifies bits, qubits, qudits, and Bekenstein “gravity bits” asembeddings of a single emergent quasiparticle. Two further generalisations are developed: alongthe modality axis introduced by Zadeh’s generalized theory of uncertainty, the infoton becomes ag-ton – a modality-indexed excitation of a g-information field Φr(x) – whose rest energy kBTlocB(r)extends the Landauer bound to possibilistic, fuzzy, evidential, and granular uncertainty calculi; alongthe operational-theoretic axis captured by generalized probabilistic theories and effect algebras, theconstruction culminates in an Ω-ton that subsumes both the modality and substrate axes under a singleoperational specification O = (Ω, E,K). Two additional axes are introduced as orthogonal extensions:a Wilsonian scale axis L that resolves the infoton tower from coarse-grained molecular dynamicsto parton, hypothetical preonic, and ultimately Planck-cell sub-particle resolutions while preservingthe universal Landauer floor; and a supersymmetric axis σ that pairs the bosonic infoton with afermionic infotino into an irreducible supermultiplet excitation, the super-infoton or Σ-ton, whoserest energy is sector-independent in unbroken supersymmetry. We verify the internal consistency ofthe foundational construction through a Schwinger–Keldysh lattice integrator that reproduces thefluctuation–dissipation relation, saturates the Landauer bound in single-bit erasure, and recoversstochastic-entropy-production positivity with a Crooks fluctuation-theorem slope of unity. The infotonhierarchy developed here is the formal scaffolding on which the companion paper [Sep26] buildstwo specific applications: a falsification framework for temperature-locked photon lines from e+e−annihilation, and a field theory of statistical learning.
Author: Sepulveda-Jimenez, Alfredo
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7161419014
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