Weak Interaction in Phase Transitions: Amplification by Nine Orders of Magnitude ✛

Original: "Enhancement of Weak Interactions in Phase Transitions"
· V. V. Flambaum
arXiv:2509.14701 · 2025-09-18 · CC BY 4.0 · 3 min
The tiny energy difference between left- and right-handed forms of a molecule can grow by billions of times during a phase transition.

Context

This work stands apart: it has few direct neighbors, with the closest research touching on quasiparticles, squeezed states, and superpositions. Yet the topic resonates with a long-standing question about the origin of chiral purity in nature. Nearly all amino acids in living organisms are left-handed, while DNA is right-handed. The weak interaction provides a tiny energy bias between left- and right-handed forms, but it was considered too small to explain such a choice. Phase transitions are a natural place for amplifying weak effects, because a system near its critical point is extremely sensitive to small perturbations.

Methods

The author builds a theoretical model based on Zeldovich nucleation theory. In this framework, the new phase emerges from nuclei: small bubbles dissolve, while those that reach a critical size grow and fill the entire volume. If the new phase can exist in two nearly degenerate forms (left and right), the weak interaction gives them slightly different energies. The difference in nucleation rates is proportional to the number of particles in the critical nucleus, $N_c$. The model is compared with an experiment on the magnetic crystal ZnCr₂Se₄, where at a temperature of 21 K in crossed electric and magnetic fields, the chirality asymmetry was measured.

Results

The experiment on ZnCr₂Se₄ yielded an asymmetry of P ≈ -0.9: in 95% of cases, the same chirality formed. The microscopic energy difference due to the weak interaction is estimated at 10⁻¹² eV, corresponding to a temperature of 10⁻⁸ K. To obtain the observed effect, the critical nucleus must contain at least 10⁹ particles. This is the amplification factor: the weak signal is multiplied by the collective number $N_c$. In the model, the amplification grows as the critical temperature is approached: $N_c$ ∝ (μ₁ - μ₂)⁻³, and with slow cooling, the system almost always selects the energetically favored chirality.

Implications

Unlike neighboring studies that focus on quasiparticles and quantum states, this paper transfers the amplification mechanism to macroscopic phase transitions. It proposes a new way to measure the critical nucleus size through the ratio of left- and right-handed structures. For cosmology, this opens a path: if similar amplification operated during the electroweak phase transition, the standard model could explain the observed baryon-to-photon ratio without invoking new physics.

Future development

An open question is whether the amplification works in a crossover, not only in a sharp first-order phase transition. Even in a crossover, bubbles of the new phase form, and one can try to apply the same logic. Another direction is searching for amplification in chemical reactions that produce chiral crystals, such as NaClO₃ from solution. If amplification is confirmed in different systems, it could become a tool for probing new T- and P-violating interactions.

Impact

The result could impact cosmology (baryogenesis), particle physics (search for CP violation), and chemistry (origin of homochirality).

Next steps

Test the model on other systems with phase transitions, for example, crystallization of NaClO₃; develop quantitative estimates for electroweak baryogenesis.

Key open problems

For condensed matter physics, the role of fluctuations and defects remains an open question: they could destroy the amplification near the critical point. It is also unclear how to precisely measure N_c in real experiments.

The knowledge machine's view

This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.

What the work does

The paper examines the amplification of the weak interaction in phase transitions: the energy difference between mirror-image forms, on the order of 10⁻¹² eV, is multiplied by the number of particles in the critical nucleus, yielding an amplification of nine orders of magnitude. The model, based on Zeldovich nucleation theory, is compared with experiments on ZnCr₂Se₄, where a chirality asymmetry of about 95% was observed. The author suggests that this mechanism could apply to the early Universe to explain baryon asymmetry.

Where its strength is

A strong point is the transfer of the amplification mechanism for weak effects to macroscopic phase transitions and its connection to a measurable quantity (chirality asymmetry), which opens the way for experimental verification in various systems.

Where it could go next

  • It might be interesting to compare with work on weak coupling of molecules, which also discusses the manifestation of weak interactions in molecular systems; perhaps amplification in phase transitions could also apply to chiral molecular crystals.based on: Weak Molecular Bonds Step Out of the Shadows arXiv:2608.02865v1
  • Related research on the origin of matter in the Universe: if amplification operated during the electroweak phase transition, one could try to connect the model with the generation of baryon asymmetry without new physics.based on: How a Drop Became an Ocean of Matter arXiv:2608.05950v1

Worth trying

  • Test the model on other magnetic materials with phase transitions where chirality can be measured.
  • Estimate the critical nucleus size required to explain the observed asymmetry in cosmology.
  • Consider the possibility of amplifying the weak interaction under non-equilibrium conditions, for example during rapid cooling.

Why this may matter

If the mechanism is confirmed, it could provide a general principle for amplifying weak interactions in critical systems and explain chiral purity in nature and the baryon asymmetry of the Universe.

In the experiment on ZnCr₂Se₄, the transition temperature is only 21 K, and the energy difference between chiralities is equivalent to 10⁻⁸ K: a difference that is 10⁹ times smaller than the system's temperature.

The idea of amplifying weak differences during phase transitions echoes stories about the Universe's 'choice': in Greg Egan's novel 'Schild's Ladder', vacuum transitions determine the laws of physics in different regions of space.

P \approx -\frac{N_c \Delta E}{2kT}
The relative difference in nucleation rates of left- and right-handed nuclei is proportional to the number of particles in the critical nucleus and the microscopic energy difference.
\Delta E \sim 10^{-12}\,\text{eV} \approx 10^{-8}\,\text{K}
Typical weak interaction energy in a molecule, converted to a temperature scale.

Key numbers

  • asymmetry P: -0.9 (95% of cases)
  • transition temperature of ZnCr₂Se₄: 21 K
  • microscopic energy difference: 10⁻¹² eV
  • critical number of particles N_c: ~10⁹–10¹⁰
  • amplification factor: ~10⁹
Concepts
parity violation weak force cross section chirality interaction critical threshold particle interaction cp symmetry CP violation cosmological phase transition power law critical mass chemical potential scale factor coupling constant parity correlation coefficient carbon to oxygen ratio pion error threshold