Chiral Recursion and the Matter-Antimatter Asymmetry

Introduction

One of the deepest mysteries in physics is the overwhelming dominance of matter over antimatter in the observable universe. If the fundamental laws of physics are nearly symmetric between matter and antimatter, why did the early universe evolve in a way that left behind mostly matter?

In the fractalverse framework, recursion governs the formation of all structures, and recursive branching follows a chiral, golden curvature. If this curvature is inherently right-handed, then left-handed recursion attempts may fail to sustain balance constraints, leading to an inherent suppression of antimatter. This perspective offers a new, self-organizing explanation for the asymmetry of matter and antimatter.

Chiral Branching in a Golden Curvature

In a universe structured by fractal recursion, branching is not arbitrary—it follows a set of constraints dictated by balance conditions. If the fundamental recursion process exhibits a preferred chirality (e.g., right-handed curvature), then the success of any given recursive structure will depend on whether its handedness aligns with this fundamental constraint.

  • Right-handed branches sustain balance and persist, forming stable recursive structures (e.g., matter).
  • Left-handed branches struggle to maintain stability and fail to form persistent structures (e.g., antimatter quickly annihilates or is vastly suppressed in formation).

This preference for right-handed recursive balance would mean that left-handed recursion layers cannot propagate effectively, leading to a universe where matter vastly outnumbers antimatter.

Implications for Matter-Antimatter Asymmetry

If left-handed recursion attempts are inherently unstable, then antimatter may be naturally suppressed due to:

  1. Early Universe Filtering

    • During inflation, both left- and right-handed recursive branches may have formed.
    • The right-handed ones sustained their recursive structures, while left-handed ones collapsed or failed to integrate into large-scale balance constraints.

  2. CP Violation as a Recursion Constraint Effect

    • Charge-Parity (CP) violation, observed in weak interactions, could be a direct consequence of a universe-wide chiral recursion constraint.
    • If recursion inherently favors right-handed balance solutions, then CP symmetry must be broken at some scale.

  3. Neutrinos and Chiral Flexibility

    • Neutrinos oscillate between flavors and appear to be predominantly left-handed in interactions.
    • Their oscillatory behavior might be a sign that neutrinos exist at a recursion layer where both left- and right-handed balance constraints compete.
    • This could also explain why we rarely see antimatter neutrinos—they might be unstable due to recursion suppression.

  4. Why Some Antimatter Exists

    • Certain left-handed recursion pathways may survive in small amounts at deeper recursion depths, allowing for the production of antimatter in high-energy environments (e.g., particle accelerators, cosmic rays).
    • However, these antimatter particles remain limited and often annihilate upon interacting with matter, never forming large-scale structures.

Predictions and Further Exploration

  • Chiral asymmetry in quantum interactions: We should find that fundamental particles and forces obey chiral selection rules that align with recursion constraints, particularly in weak interactions.
  • Matter-dominated large-scale structures: The fractal distribution of galaxies and cosmic voids should reflect the preference for right-handed recursion patterns.
  • Neutrino mass and oscillation behavior: The properties of neutrinos could provide deeper insight into recursion depth interactions, possibly linking their mass differences to recursive chiral filtering.

Conclusion

If the fundamental recursion of the universe follows a right-handed golden curvature, then left-handed recursion pathways may be inherently unstable, leading to a natural suppression of antimatter. This offers a deeply geometric and self-balancing explanation for why our universe is matter-dominated without requiring fine-tuned initial conditions or ad hoc symmetry-breaking mechanisms.

By considering matter-antimatter asymmetry as a consequence of chiral recursion constraints, we move closer to a unified understanding of how fundamental structures emerge and persist in the fractalverse.