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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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FQFT Paper I: A Scale-First Spectral Field Formalism for Hierarchical Matter Structure

Authors: Petrov Pasev, Ivan;

FQFT Paper I: A Scale-First Spectral Field Formalism for Hierarchical Matter Structure

Abstract

Foundational kernel paper of the Fractal Quantum Field Theory (FQFT) research program. This work introduces a scale-first framework in which Planck-scale spacetime is modeled using Ramanujan graph structures and spectral geometry, with low-energy quantum field behavior emerging from a higher-dimensional fractal geometric regime. The paper establishes the primary mathematical and physical foundation of the FQFT framework, including: the graph-based geometric construction, the fractal measure-space formalism, the dimensional renormalization structure, the spectral fixed-point mechanism, recovery of standard quantum field theory behavior at low energies, and the emergence of hierarchical particle structure from graph spectral organization. Key results include: identification of a non-trivial dimensional fixed point, derivation of a three-generation particle structure from spectral band organization, construction of a scale-first mass hierarchy framework, and a set of experimentally testable phenomenological predictions related to neutrino ordering, Higgs-sector behavior, dark matter searches, and precision particle physics observables. The publication serves as the formal kernel paper for the ten-paper FQFT research series and provides the foundational definitions, operators, fixed-point structures, and spectral framework required for the subsequent particle, gravitational, and cosmological developments in the series. Companion reproducibility software:fqft_compute_v2.py Primary experimental reference targets include: JUNO, HL-LHC, CASPEr-Electric, CMB-S4, LZ, XENONnT.

Keywords

FQFT, Fractal Quantum Field Theory, Ramanujan graphs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average