Title: Fundamental Challenges: Circular Self-Reference in Quantum Field Theory Author: BÉO - Engineer, Independent Researcher Publication Date: January 18, 2026 Introduction This research analyzes the logical structure of Quantum Field Theory (QFT) and demonstrates the existence of circular self-reference A⊢B⊢A - a serious violation of the standards for valid deductive systems when QFT is claimed to be a "foundational theory". Main Issue QFT uses assumptions (such as vacuum stability, conservation laws) to derive conclusions, but then uses these very conclusions to validate the initial assumptions. This is the logical fallacy of "petitio principii" (begging the question) in formal logic. Three Specific Points of Analysis 1. Vacuum Instability: Vacuum energy E → ∞ before renormalization, only becomes "stable" after technical correction 2. Acausality: QFT replaces actual causal mechanisms with probability amplitudes 3. Infinities from Point Definition: Particles defined as δ (x) generate divergences requiring treatment Mathematical Analysis Renormalization uses the expression mₚhysical = mbare + δm where both terms diverge (∞-∞), violating standard rules of real analysis. The parameter mbare is "backward defined" from the desired result rather than independently determined. Case Study: Large Hadron Collider Appendix B analyzes the circular structure in LHC experiments (10+ billion): LHC Design → Measurement → Tuning 19+ free parameters → "Confirmation" of QFT. This is a closed loop where results are used to validate assumptions. Conclusion QFT works excellently as a "tool" (accuracy 10⁻¹² in QED) - But lacks a solid "logical foundation" when claimed as foundational theory - Empirical success ≠ Logical validity - Need to distinguish "instrumental success" from "foundational validity" Important Note This research does NOT claim QFT is "wrong" or "useless". The purpose is to clarify logical boundaries and question foundational status, not to deny the instrumental value and scientific achievements of QFT. Fields: Theoretical Physics, Formal Mathematics, Philosophy of Science Level: Foundational Status: Not peer-reviewed - Open for community review License: CC BY 4. 0 Contact: beo@beolabs. org Reference DOIs: - Section Zero Framework: 10. 5281/zenodo. 18063226 - Falsification of Acausality: 10. 5281/zenodo. 18150426 NOTE FOR ENGLISH READERS "The full content is written entirely in Vietnamese. " To minimize translation manipulation, please follow this procedure: 1. Download the PDF file 2. Upload to any AI platform (preferably Claude, Grok, or Gemini Pro) 3. Use only ONE single prompt: "carefully read" 4. Repeat the prompt 2-5 times depending on your AI platform This ensures you get an accurate understanding of the original content without translation bias.
BÉO (Sun,) studied this question.