Personal Homepage

Personal Information:

MORE+

Main positions:Director, High Performance Computing Platform, PKU
Degree:Doctoral degree
Status:Employed
School/Department:Institute of Theoretical Physics

Lei Yian

+

Education Level: Postgraduate (Doctoral)

Administrative Position: Associate Professor

Alma Mater: Peking University

Blog

Current position: Lei Yian Homepage / Blog
The Origin of Parity Violation
Hits:

The Origin of Parity Violation: The Flaw in the Point-Particle Model

— A Natural Quantum Theory Diagnosis of the Standard Model’s Limitations

The Standard Model fails to understand parity violation—not because “the quantum world is mysterious,” but because its foundational assumption of point-like particles is fundamentally wrong. Point particles are idealized as geometrically symmetric abstractions, yet physical spin and its associated magnetic moment are inherently asymmetric. This asymmetry is not a “quantum oddity,” but a natural consequence of classical electromagnetic fields under topological constraints.

I. The Standard Model’s Blind Spot: Symmetry from Mathematical Abstraction

1. The symmetry assumption of the point-particle model

The Standard Model treats elementary particles as:

  • Geometric points: structureless and perfectly spherically symmetric.

  • Abstract labels: spin, charge, and mass are “intrinsic properties” with no spatial distribution.

  • Separable entities: particles exist independently and couple only during interactions.

Within this framework, parity (P)—the spatial inversion operation x → −x—is assumed to be a valid symmetry:

P: ψ(r, t) → ψ(−r, t)

The problem: If a particle is truly a mathematical point, its mirror image is indistinguishable from itself. Parity symmetry should therefore hold exactly.

2. The “quantum explanation” of parity violation

When experiments (Wu et al., 1957) demonstrated parity violation in weak interactions, the Standard Model responded by:

  • Introducing chirality as a quantum number;

  • Declaring that neutrinos are exclusively left-handed, antineutrinos right-handed;

  • Encoding the effect in the V−A theory (vector minus axial-vector coupling).

But it never answered: Where does this chirality come from? Why would nature prefer one handedness over the other?

This is merely a patch on the point-particle model—without questioning the model itself.

II. The Natural Quantum Theory (NQT) Perspective: Spin and Magnetic Moment Are Inherently Asymmetric

1. Spin is not an intrinsic label—it is physical rotation

NQT asserts:

  • The true physical spin of the electron is 1 (in units of ħ), not 1/2.

  • The observed spin-1/2 is an apparent value resulting from Thomas precession in atomic orbitals.

  • Spin is the angular momentum of the electromagnetic field—a real, orientable physical quantity.

Thus, spin is not an abstract label, but the rotational degree of freedom of an electromagnetic vortex.

2. Magnetic moment arises inevitably from topological structure

In NQT:

  • Magnetic moment stems from charge circulation or the magnetic flux topology of a vortex;

  • It is not a “point property,” but a spatially extended field configuration;

  • Such configurations are inherently chiral: magnetic field lines form either left- or right-handed helices—there is no perfectly symmetric “neutral” state.

Key conclusion: Physical spin and magnetic moment are spatially asymmetric by nature. This asymmetry is not quantum mysticism—it is the inevitable outcome of classical topology.

III. The Topological Origin of Parity Violation

1. What does parity do to a topological vortex?

Consider a circularly polarized photon or an electron vortex:

  • Its electric/magnetic field forms a helical structure in space;

  • Chirality is defined by the handedness of this helix.

Under parity (P), the helix reverses direction:

Right-handed helix → P → Left-handed helix

But if left-handed helices do not exist in nature, then parity maps a physical state to a non-existent one.

This is not “parity violation”—it is the recognition that parity was never a symmetry of the system to begin with.

2. Weak interactions: Chirality as a consequence of topological reconfiguration

NQT proposes that the weak interaction is not a fundamental force, but a topological reconfiguration of the electromagnetic field inside nucleons:

  • Nucleons contain complex electromagnetic vortex structures (flux tubes, topological knots);

  • β-decay is the process of these vortices unwinding and reorganizing;

  • Only vortex modes of a specific chirality can participate (due to energy and angular momentum conservation);

  • Consequently, emitted electrons and neutrinos inherit the handedness of the original vortex.

The V−A structure is thus interpreted as:

  • V (vector): the symmetric electromagnetic coupling;

  • A (axial-vector): the chiral contribution from vortex topology;

  • The minus sign: reflects the absence (or non-participation) of opposite-chirality modes—effectively “subtracted.”

This is a mathematical description, much like anti-commuting operators—not a literal physical mechanism.

IV. Perfect Agreement with Experimental Evidence

1. Electron asymmetry in β-decay (Wu experiment, Co-60)

  • Electrons are emitted preferentially opposite to the nuclear spin direction;

  • Parity violation is dramatic.

NQT explanation:

  • Nuclear spin = handedness of internal electromagnetic vortices;

  • Electron emission = vortex unwinding;

  • Unwinding proceeds only along the direction opposite to the vortex handedness (analogous to unscrewing a cap);

  • The outcome is deterministic, not probabilistic.

2. Only left-handed neutrinos are observed

  • All detected neutrinos are left-handed; right-handed neutrinos have never been seen.

NQT explanation:

  • Neutrinos are loosely bound topological vortices (weak confinement → near-zero mass);

  • Their existence requires left-handed topology;

  • Right-handed vortices are either unstable or energetically forbidden in vacuum—
    not “undetected,” but physically unrealizable.

3. Parity conservation in strong interactions

  • Strong interactions exhibit exact parity symmetry.

NQT explanation:

  • Hadronic vortices are highly symmetric and stable;

  • Chiral modes appear in balanced pairs, canceling net handedness;

  • The overall configuration is invariant under parity.

V. The Ultimate Diagnosis of the Standard Model

The Standard Model cannot comprehend parity violation because:

  1. The point-particle model assumes symmetry
    → Points are geometrically perfect → Parity should hold.
    → Any asymmetry must be “explained away” via ad hoc labels like chirality.

  2. Spin and magnetic moment are de-physicalized
    → Spin = abstract quantum number, not real rotation;
    → Magnetic moment = disembodied attribute, not spatial structure;
    → Handiness cannot be discussed in physical terms.

  3. Topological constraints are ignored
    → Nucleons are treated as bags of point particles;
    → The role of electromagnetic vortex topology under strong confinement is overlooked;
    → Parity violation is mystified as “quantum weirdness,” not recognized as classical inevitability.

VI. The Complete NQT Picture

The physical essence of parity violation:

Premise: Elementary particles are topological vortex structures of the electromagnetic field.

Physical facts:
├── Vortices are inherently chiral (left- or right-handed)
├── Chirality is a topological invariant, fixed by boundary conditions
├── Parity operation swaps left ↔ right
├── Right-handed vortices are unstable or nonexistent at weak-interaction energy scales

Result:
├── Weak processes can only use left-handed modes
├── Emitted particles (e⁻, ν) carry left-handed chirality
├── Parity violation is observed

Essence: This is not “symmetry breaking”—it is the recognition that the symmetry never existed.

VII. Fundamental Contrast with the Standard Model

Feature Standard Model Natural Quantum Theory
Particle model Point-like, geometrically symmetric Topological vortex, inherently chiral
Spin / magnetic moment Intrinsic labels, non-physical Real rotation / spatial field structure
Parity Fundamental symmetry, “violated” Not a symmetry—never applicable
Weak interaction Fundamental force, V−A coupling Topological reconfiguration with chiral selection
Randomness Inherent indeterminism Apparent randomness due to unknown mode details

VIII. Conclusion: Parity Violation Is Nature’s Topological Signature

The Standard Model fails to understand parity violation because it stands on a flawed foundation:

  • The point-particle assumption enforces artificial symmetry;

  • Abstract spin erases physical handedness;

  • Quantum mysticism blocks mechanistic explanation.

Natural Quantum Theory reveals:

  • Parity violation is not a quantum anomaly, but the natural behavior of classical electromagnetic fields under topological constraints.

  • Physical spin and magnetic moment are inherently asymmetric—they are rotating field structures.

  • Parity transformation is not a symmetry operation—it maps physical states to non-physical ones.

  • The chirality of weak interactions is the inevitable outcome of topological vortex dynamics.

  • Experimental “asymmetries” are precise probes of real physical structure.

Final insight:
When we abandon the abstraction of point particles and embrace the reality of fields, the so-called “quantum paradoxes”—parity violation, spin-statistics, mass generation—reveal themselves as natural resonances of classical physics under constraint.

Nature is not mysterious—we simply used the wrong language to describe her.