Fractal Quantum Field Theory (FQFT) Monograph
This page introduces FQFT_MONOGRAPH as part of Ivan Pasev's public science and systems corpus. It explains the core thesis, its relation to adjacent frameworks, and the review route for readers who want to inspect the claim structure. Where the page presents proposed theory, publication scaffolding, or formalization targets, those claims remain bounded as authorial research pending external review.
1. Abstract
FQFT is a proposed extension of quantum field theory utilizing fractal geometries and scale-invariant dynamics to model fundamental interactions, requiring formal mathematical elaboration and peer review.
2. Public Thesis
FQFT explores the structural self-similarity of quantum fields across scales, aiming to resolve singularities and bridge microscopic quantum behaviors with macroscopic topologies.
3. Status Classification
| Layer | Status | Boundary |
|---|---|---|
| FQFT | physics-facing research extension | Not accepted quantum field theory |
4. Formal Definition
A scale-invariant field theory where the action functional incorporates non-integer dimensional integration over fractal supports.
5. Core Constructs
| Construct | Meaning | Grounding | Boundary |
|---|---|---|---|
| Fractal Index | Scale dimension | Math | Research target |
6. Contributor Lineage
| Contributor | Construct | Usage | Boundary |
|---|---|---|---|
| Ivan Pasev | Core hypothesis | Theory | Authorial |
7. Relation to Established Domains
| Domain | Used For | Not Claimed |
|---|---|---|
| QFT | Baseline formalisms | Accepted QFT |
8. Formal Kernel
Requires specifying dynamics and conserved quantities.
9. Theorem / Lemma / Invariant Targets
| Target | Type | Status | Dependencies | Review Path |
|---|---|---|---|---|
| Fractal Action | Theorem | Target | Math | Theorem Map |
10. Evidence Class
research extension
11. Falsifiability and Review
| Review Axis | Required Work |
|---|---|
| Definitions | field object, fractal index, observer/boundary map |
| Equations | specify dynamics and conserved quantities |
| Comparison | relation to QFT, TQFT, spectral theory |
| Prediction | testable deviation or measurable invariant |
| Simulation | reproducible computational model |
| External Review | qualified physics / mathematical physics critique |
12. Source Anchors
13. Downstream Relation
Theoretical grounding for Fabricon theory.
14. Claim Boundary
WARNING
FQFT is physics-facing. FQFT is a research extension. FQFT requires mathematical formalization. FQFT requires comparison to known QFT. FQFT requires falsifiable predictions. FQFT requires independent scientific review. FQFT is not presented as accepted quantum field theory. This page is part of Ivan Pasev's public scientific corpus. It organizes definitions, lineage, claims, and review paths. It does not by itself establish external scientific validation, peer-review acceptance, certification, or proof completion.
Equation Hygiene Requirement
FQFT must not use field-theoretic notation without defining:
- field object,
- domain,
- transformation,
- invariant,
- observable,
- boundary condition,
- comparison to established QFT.
Falsifiability Requirement
FQFT requires at least one of:
- a mathematically defined model,
- a simulation protocol,
- a falsifiable prediction,
- a measurable invariant,
- a precise comparison with known QFT or statistical field theory.
Without these, FQFT remains a research-program vocabulary, not a validated physics theory.