Reinterpreting the Chiral Anomaly through Subquantum Resonant Oscillations: An NMSI-Based Reformulation

Sergiu Vasili Lazarev

Independent Researcher, Bucharest, Romania.

DOI: 10.4236/jhepgc.2025.113061                

Abstract

This paper presents a reinterpretation of the so-called chiral anomaly in quantum field theory, proposing that what has traditionally been viewed as a breakdown of symmetry is, in fact, a natural and predictable outcome of a deeper oscillatory logic present in the subquantum realm. Through the framework of the New Mechanics of Subquantum Information (NMSI), we demonstrate that the apparent anomaly arises from a misinterpretation of the phase dynamics of mass-energy resonance and the role of topological invariants in subquantum spacetime. We offer a revised formulation of gauge symmetry, taking into account the feedback mechanisms between logical oscillators and particle trajectories, and outline experimental predictions that could validate this model.

Keywords

Chiral Anomaly, Quantum Symmetry, Subquantum Physics, NMSI, Oscillatory Logic, Topological Invariants

1. Introduction

The concept of the chiral anomaly has long stood as a paradox within the Standard Model of particle physics. While the theory postulates that certain symmetries—especially gauge symmetries—must be conserved, empirical observations such as the decay of the neutral pion (${\pi }^0\to \gamma \gamma$ ) suggest a violation of these principles. Traditionally, this has been resolved by attributing the anomaly to quantum loop corrections and the non-conservation of the axial current at the quantum level.

However, in the framework of the New Mechanics of Subquantum Information (NMSI), we propose that these phenomena are not anomalies at all, but rather expressions of a deeper, more fundamental layer of reality governed by subquantum oscillatory logic. According to NMSI, particles are not isolated point-like entities, but emergent nodes of resonance within a global network of logical oscillators (CLOs). These oscillators interact via nonlocal feedback, and their phase relationships give rise to what we perceive as mass, charge, spin, and other quantum properties.

From this viewpoint, the chiral anomaly becomes a manifestation of phase transition within a resonant subquantum network, where the local breakdown of axial symmetry is simply a recalibration of global oscillatory coherence. Moreover, this interpretation aligns with observations from quantum chromodynamics (QCD), where topologically nontrivial vacuum configurations (such as instantons) play a central role. In NMSI, these are not mathematical curiosities but real phase structures embedded in the subquantum medium.

The aim of this article is to reconstruct the chiral anomaly within the NMSI paradigm, showing that it not only preserves a generalized symmetry but also provides a predictive framework for future experimental exploration. By doing so, we hope to offer a bridge between quantum field theory and a deeper informational structure of physical law.

2. The Standard View of the Chiral Anomaly and Its Mathematical Foundation

The chiral anomaly, also known as the Adler-Bell-Jackiw anomaly, refers to the breakdown of classical chiral symmetry in quantum field theory when quantizing massless fermions in the presence of gauge fields. It is traditionally derived using path integral methods and is often viewed as a cornerstone in understanding quantum gauge theories, particularly in the Standard Model.

Mathematically, the anomaly is derived from the non-invariance of the fermionic measure under chiral transformations. Consider the axial current $J_5^{\mu }=\overline{\psi }{\gamma }^{\mu }{\gamma }^5\psi$ , which classically satisfies ${\partial }_{\mu }{J}_5^{\mu }=0$ for massless fermions. However, quantum mechanically, this conservation law is violated, and the divergence becomes:

${\partial }_{\mu }{J}_5^{\mu }=\left(e^2/16{\pi }^2\right){\epsilon }^{\mu \nu \rho \sigma }{F}_{\mu \nu }{F}_{\rho \sigma }$ (1)

This result is derived using techniques such as Pauli-Villars regularization or Fujikawa’s path integral approach [1] [2]. Equation (1) indicates that the gauge fields themselves induce a nonzero divergence, violating axial symmetry.

While this phenomenon is widely accepted and experimentally validated (e.g., in neutral pion decay), the traditional interpretation focuses on the field-theoretic aspects without exploring the deeper structural reasons behind this asymmetry.

Our model proposes a reevaluation of this anomaly based on a subquantum oscillatory logic framework (NMSI), where phase resonance, not operator algebra, governs the physical manifestation of symmetry breaking. The appearance of non-conservation is not due to a failure of symmetry at the quantum level, but due to interference patterns and oscillatory misalignment at a subquantum level, which gives rise to apparent anomaly behavior.

In this context, Equation (1) is not an “anomaly” in the ontological sense, but a manifestation of emergent phase decoherence from an underlying symmetric oscillatory system. This approach suggests that anomalies are artifacts of incomplete descriptions and that the universe’s fundamental structure is governed by a deeper logic beyond standard quantization procedures.

This reinterpretation also implies that anomalies might not exist in the absolute, but appear due to measurement constraints and the structure of quantum observables used in standard field theory.

3. Subquantum Symmetry and the Oscillatory Interpretation of Anomalies

In the classical interpretation of chiral anomalies, the breaking of symmetry arises as a contradiction between classical conservation laws and quantum effects (as seen in Feynman diagrams involving triangle loops). However, from the NMSI (Noua Mecanicǎ Subcuanticǎ Infobiticǎ) perspective, this apparent violation is not a true anomaly, but a manifestation of a deeper oscillatory logic.

We propose that all elementary particles, including massless fermions, are governed by subquantum oscillatory codes—infobit patterns—which dictate both phase behavior and interaction outcomes. Within this framework, the conservation of chiral current is not broken, but merely redistributed within an extended phase space governed by internal oscillatory nodes.

The apparent “non-conservation” results from neglecting the hidden nodes in the subquantum resonance lattice. These nodes store and modulate angular momentum in a non-local, phase-coherent way, and thus can appear to “violate” symmetry when only observed from the classical spacetime projection.

This is analogous to observing a spinning top from a two-dimensional shadow: the precession may appear as a change in angular orientation, while in full 3D space it follows deterministic and conserved dynamics.

To validate this hypothesis, we analyze the anomaly term in the divergence of the axial vector current:

${\partial }_{\mu }{j}_5^{\mu }=\left(e^2/16{\pi }^2\right){\epsilon }^{\mu \nu \rho \sigma }{F}_{\mu \nu }{F}_{\rho \sigma }$

In NMSI, this term is reinterpreted as an infobitic coupling coefficient Z_osc between two entangled oscillatory nodes (CLOs) in different phase states. Thus, what appears as a topological term is in fact a resonance coefficient:

${\partial }_{\mu }{j}_5^{\mu }=Z_{osc}\times \Phi \left(\text{phase}\right)$

where Φ (phase) describes the amplitude of phase difference between two interlinked CLOs. This model preserves informational symmetry and redefines the concept of quantum anomalies as logical interference phenomena.

This opens the path toward integrating chiral anomalies into a broader class of subquantum geometric resonances, laying the groundwork for a new field of quantum-symmetry restoration via engineered oscillatory systems (e.g., TQC-Twin Quantum Computing).

4. Application: Neutral Pion Decay (${\pi }^0\to 2\gamma$ ) in the NMSI Framework

In the classical Standard Model framework, the decay of the neutral pion (${\pi }^0\to 2\gamma$ ) is explained via the Adler-Bell-Jackiw (ABJ) anomaly. This is a quantum anomaly that breaks the classical conservation of the axial vector current, leading to a nonzero decay rate of the pion to two photons. The decay width is calculated using the triangle Feynman diagram with one axial vector and two vector currents, resulting in a robust prediction confirmed experimentally [1].

In the NMSI (New Subquantum Informational Mechanics) framework, we reinterpret this decay as a phase decoherence process resulting from oscillatory destabilization of a baryonic quasi-particle (the pion) within a structured subquantum field. According to the NMSI, particles such as pions are not elementary excitations but rather structured oscillatory nodes (CLOs) whose internal phase stability determines their persistence. When a neutral pion transitions into two photons, it is not a matter of simple quark-antiquark annihilation, but a bifurcation of its oscillatory mode into two coherent photon oscillators in subquantum phase space.

This transition is interpreted in NMSI not as a perturbative quantum process mediated by virtual particles, but as a spontaneous logical transformation of an oscillatory packet into two mutually coherent radiative nodes. The conservation laws emerge from the harmonic constraints of the oscillatory system, not from local gauge symmetries [2].

The experimental decay width of the neutral pion is approximately:

$\Gamma \left({\pi }^0\to 2\gamma \right)\approx 7.8\text{eV}$ [3]

Within NMSI, this value arises from the intrinsic instability of the π⁰’s internal oscillatory structure, quantified by the coupling strength of its phase core to the ambient subquantum medium. The critical factor is the resonance bandwidth within which the oscillatory collapse yields two photons in phase opposition. Thus, the decay lifetime is inversely proportional to the stability of its central phase-lock (Z-coefficient), a fundamental parameter of the NMSI model [4].

Furthermore, the selection of the 2γ final state is topologically encoded within the pion s internal structure, as only bifurcations conserving informational coherence are permitted. This provides a deterministic yet subquantum reason for the decay mode, going beyond probabilistic quantum field theory.

This application demonstrates how NMSI replaces quantum anomalies with deterministic, oscillatory transformations governed by harmonic logic and phase information transfer—a fundamental reinterpretation of quantum processes.

5. Implications for Gauge Symmetries and Unification of Interactions

The reinterpretation of the chiral anomaly through the lens of subquantum oscillatory physics (NMSI) holds profound implications for gauge symmetries and the broader aim of unifying fundamental interactions.

In the Standard Model, gauge symmetries—specifically U(1), SU(2), and SU(3)—represent local invariances underpinning electromagnetic, weak, and strong interactions, respectively. However, these symmetries are imposed algebraically and mathematically rather than arising from an intrinsic dynamical necessity. The anomaly cancellation condition appears as a mathematical constraint, rather than as a physical mechanism.

In the NMSI framework, oscillatory logic suggests a physical origin for gauge symmetries as emergent harmonics of subquantum resonant structures. Each interaction arises not from arbitrary algebraic postulation but from quantized resonance configurations (oscillatory nodes) stabilized in a coherent phase space. Thus, the existence of a gauge field reflects a stable mode of infobit oscillation sustained by subquantum resonance and information equilibrium.

The anomaly cancellation condition—traditionally needed to preserve gauge invariance—becomes a consequence of phase coherence across CLOs (Central Logical Oscillators) associated with each interaction sector. Where destructive interference or phase decoherence occurs, symmetry breakdowns or anomalies emerge, but these are interpreted not as pathological features but as transitional reorganizations of the logical phase structure.

This perspective offers a natural path toward unification. The three known gauge interactions could be viewed as harmonics of a more fundamental oscillatory resonance, each represented by a distinct CLO configuration. The gravitational field, often left out in quantum field theory, may be incorporated as the global curvature of the subquantum phase space or as a long-wavelength oscillatory background influencing all resonance nodes.

Therefore, the NMSI model does not merely reinterpret anomalies—it redefines symmetry itself as a physical-logical consequence of coherent oscillation. This reframing paves the way for a deeper, phase-based unification of forces and may offer fertile ground for reconciling quantum mechanics with general relativity, under a shared oscillatory logic [2] [5] [6].

6. Testable Predictions and Experimental Integration of NMSI

In the New Subquantum Informational Mechanics (NMSI) framework, oscillatory logic serves as the fundamental mechanism underlying particle behavior, resonance phenomena, and the informational architecture of physical reality. This section proposes several testable predictions and pathways for experimental validation of NMSI principles in the context of particle physics and astrophysics.

1) Oscillatory Phase Shifts in Entangled Pairs:

NMSI suggests that entangled particles exhibit not only phase correlation but also active subquantum oscillatory synchronization, which can be perturbed non-invasively. Experiments should monitor time-resolved coherence oscillations in entangled photons or electrons, looking for predictable modulation signatures due to external harmonic fields.

2) Resonant Interference Patterns in Vacuum Fluctuations:

NMSI predicts structured oscillatory “echoes” in the vacuum at specific harmonic nodes, particularly around strong gravitational centers. Precision interferometry, especially near black hole analogues (e.g., Bose-Einstein condensates simulating event horizons), may detect anomalous beat patterns reflecting coherent subquantum logic.

3) Energy Extraction via Oscillatory Coupling:

Devices designed to interact with the oscillatory phase of the vacuum (e.g., EMF resonators with embedded quantum logic filters) may demonstrate transient anomalies in energy dissipation or accumulation, suggesting extractable order from the subquantum substrate.

4) Nonlocal Modulation of Radioactive Decay:

Under NMSI, decay rates are subtly coupled to the phase structure of baryonic and dark matter flux. Highly shielded experimental setups could test for minute oscillatory variations in decay rates synchronized with cosmic background oscillations or solar resonance shifts.

5) Atmospheric CLO Structures:

The presence of coherent logical oscillators (CLOs) in cyclonic systems can be detected using high-resolution satellite imaging and electromagnetic field variation analysis. The structured arrangement of lenticular clouds and tornadic formations may serve as macroscopic resonators, offering a new way to validate subquantum logic scaling.

6) Biological Resonance Anomalies in TQC Implants:

The use of logical oscillatory implants (such as CIAS) in nervous systems may yield testable deviations in consciousness recovery, neuroplasticity, or thalamic synchronization compared to classical implant therapies. Non-invasive EEG harmonics could reveal oscillatory alignment with galactic phase backgrounds.

7) Experimental Integration Strategies:

• Use of ultra-sensitive magnetometers and interferometers for subquantum wave detection.

• Integration of TQC-based AI systems to predict oscillatory nodes in astrophysical and biological systems.

• Cross-validation with existing dark matter interaction experiments (e.g., XENON, DAMA) to look for NMSI-correlated periodicities.

These predictions offer a roadmap for transforming NMSI from theoretical innovation into an experimentally grounded foundation for future physics.

7. Final Remarks and Ontological Implications

In conclusion, the reinterpretation of the chiral anomaly within the framework of the New Subquantum Informational Mechanics (NMSI) brings forward not only a conceptual clarification of quantum field inconsistencies, but also a unifying vision that bridges the gap between physical phenomena and informational logic. The chiral anomaly, when viewed through the NMSI lens, is no longer an irregularity or pathology of quantum theory but an expected consequence of the asymmetric informational exchange between oscillatory subquantum centers.

Ontologically, the universe under NMSI is no longer a passive stage where particles collide and equations evolve, but an active informational processor, where reality is continuously recalculated in resonance with evolving boundary conditions. Each anomaly, each symmetry breaking, becomes not a flaw but a logical phase transition—an emergent expression of deeper subquantum informational harmonics.

Furthermore, the role of gauge symmetries is transcended. Rather than merely ensuring mathematical consistency, they emerge as manifestations of synchronized informational oscillations—a higher-order language through which the universe maintains coherence and adaptivity in the presence of local disturbances.

NMSI does not contradict established physics but rather reframes it, integrating quantum mechanics and field theory within a broader epistemological construct where logic, resonance, and informational coherence are foundational. The chiral anomaly, as analyzed here, stands as a gateway to a new paradigm—one that treats physics not only as a study of energy and matter, but of meaning, coherence, and emergent computation within the universe.

As this new ontological perspective gains traction, it may pave the way for a deeper synthesis of science and philosophy—where cosmology, particle physics, and consciousness studies converge within a coherent oscillatory framework.

8. General Conclusion

The reinterpretation of the chiral anomaly within the framework of the New Subquantum Informational Mechanics (NMSI) reveals a paradigm shift in our understanding of fundamental quantum processes. Rather than viewing the anomaly as a breakdown of symmetry or a pathology in gauge theory, the NMSI framework shows that this phenomenon is a natural result of phase oscillations and information dynamics at the subquantum level.

By modeling particles as localized oscillatory logic nodes (CLOs) within an informational substrate, we gain a coherent interpretation of phenomena previously classified as anomalies. In this light, the chiral anomaly, the neutral pion decay, and the gauge symmetry breaking are no longer exceptions but manifestations of an underlying subquantum informational order.

Furthermore, NMSI provides a unifying perspective that bridges quantum field theory, information theory, and cosmological structure. It introduces not just new explanatory tools but also testable predictions, particularly in the domain of photon polarization anomalies, baryon asymmetry, and particle decay modes under controlled electromagnetic environments.

The ontological implications of this reinterpretation are profound. The universe emerges not as a passive arena of interacting particles but as a resonant computational network, where logic and matter are intertwined through oscillatory processes. Understanding this network unlocks the possibility of advanced technologies based on subquantum coherence, such as Twin Quantum Computing and non-invasive entanglement monitoring.

In conclusion, NMSI does not merely resolve anomalies; it redefines the landscape of fundamental physics and opens the path toward a coherent synthesis of quantum mechanics, relativity, and information logic. Future research must now shift focus toward experimentally verifying these principles and developing the instruments required to probe the subquantum informational substrate directly.

Conflicts of Interest

The author declares no conflicts of interest regarding the publication of this paper.

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