Matter–Antimatter Asymmetry in DRUMS

Overview: The Baryon Asymmetry Problem

One of the deepest puzzles in modern cosmology is the overwhelming dominance of matter over antimatter in the observable universe. Standard physics predicts that the Big Bang should have produced equal amounts of matter and antimatter — yet we live in a universe composed almost entirely of ordinary matter. CP-violation in the weak interaction accounts for a small asymmetry, but it falls orders of magnitude short of explaining the observed imbalance.

Within the DRUMS framework, the universe is modeled as a superfluid expanding within a deeper cubic magnetic substrate. This underlying structure does more than provide a medium for emergent forces — it provides a natural mechanism for breaking the matter–antimatter symmetry at a fundamental level, producing a net surplus of matter without fine-tuning.

1. Symmetry at the Superfluid Level

At the most fundamental level, the DRUMS superfluid (UFluid) allows symmetric excitation modes corresponding to matter and antimatter. These can be represented as opposite-phase winding states of the condensate wavefunction:

In the absence of external structure, the \(+i\) and \(-i\) states have identical energy and dynamics. The superfluid by itself does not favor matter over antimatter — the two are perfect mirrors of each other. If the universe were only the superfluid, the matter–antimatter balance would remain exactly zero.

2. Substrate-Induced Symmetry Breaking

The cubic magnetic substrate changes everything. The substrate introduces a directional bias in phase evolution due to anisotropic coupling between the superfluid's phase gradient and the substrate's preferred lattice directions. This anisotropy produces a small but persistent energy difference between matter and antimatter modes:

Concretely, the energy of each phase-winding state is given by an integral over the superfluid volume:

The coupling term \( \alpha \, \mathbf{B}_{\text{sub}} \cdot \nabla \theta \) breaks the degeneracy. The cubic substrate's anisotropic vector field \(\mathbf{B}_{\text{sub}}\) interacts with the phase gradient \(\nabla \theta\) such that one orientation of winding (matter) is slightly favored over the opposite orientation (antimatter). The magnitude of the asymmetry is set by the coupling constant \(\alpha\), which depends on the local density and coherence of the substrate.

3. Weak Interaction Asymmetry

The energy difference between matter and antimatter modes does not remain confined to the superfluid — it propagates into the weak interaction sector. In the Standard Model, weak bosons couple to chiral fermion currents:

In DRUMS, the chiral structure of the weak interaction emerges from the preferred rotational direction of vortex modes relative to the cubic substrate. The substrate's lattice breaks parity symmetry by providing a preferred orientation for vortex circulation. As a result, decay rates for matter and antimatter processes differ:

This asymmetry in weak decay channels means that over time, matter and antimatter are not produced and destroyed at equal rates. The tiny energy difference from the substrate is amplified through the weak interaction's chiral sensitivity, turning a small vacuum bias into a measurable difference in particle populations.

4. Net Matter Production

The combination of the substrate bias and asymmetric weak decays leads to a net production of matter over cosmological time. The evolution of the matter–antimatter number density can be modeled by a modified Boltzmann equation:

where \(\Delta \Gamma = \Gamma_{\text{matter}} - \Gamma_{\text{antimatter}}\) is the small asymmetry in decay rates. The solution over time yields an exponential amplification of the matter surplus:

Over the age of the universe, this exponential growth produces a matter-dominated universe from initially symmetric initial conditions, without requiring any fine-tuned CP violation beyond what the substrate naturally provides.

"The cubic substrate does not just provide a background — it provides a built‑in asymmetry that breaks the matter–antimatter mirror."

5. Testable Predictions

The DRUMS mechanism for matter–antimatter asymmetry makes several distinctive predictions that distinguish it from conventional baryogenesis scenarios:

• Correlated CP violation: CP violation parameters should correlate with measurable anisotropies in the underlying field structure of the substrate — such as directional variations in the fine-structure constant or local gravitational coupling.
• Directional weak asymmetries: Weak decay asymmetries should show a directional dependence relative to large-scale cosmic structure, reflecting the preferred axis of the cubic lattice. This could be tested with precise measurements of beta decay rates as a function of orientation relative to the CMB dipole.
• Laboratory analogs: Analog superfluid systems with an imposed lattice anisotropy (e.g., cold atoms in an optical lattice) should spontaneously produce a net imbalance when creating correlated particle–antiparticle excitations, directly demonstrating the mechanism in the laboratory.
• Scale of asymmetry: The magnitude of the matter–antimatter imbalance should be set by the substrate coupling scale, which DRUMS places near the Planck–electroweak crossover. This predicts a specific relationship between the observed baryon asymmetry and the degree of anisotropy in the CMB power spectrum.