Systematic characterization reveals radiative angular scarring between oscillons, highlighting dimensional effects.
We report the discovery and systematic characterization of radiative angular scarring between coherential oscillons in the φ⁴ model. Through a sequence of controlled gates in 2+1 dimensions (400×400 Cartesian grid), we establish that two oscillons breathing in mutual presence develop a persistent angular quadrupolar deformation (Q₂ ≈ 0.014, 47× baseline) without requiring collision, relative velocity, or close proximity. The mechanism is purely radiative: static coexistence at zero velocity produces the same Q₂ as head-on collision (Gate 3). The effect is independent of impact parameter and approximately constant with distance beyond the overlap regime (d > 30 ≈ 10.7 R_eff). High-resolution spectral analysis reveals Q₂ is a composite observable with three intrinsic frequency layers (f ∼ 1.99, 0.14, and 0.008/T_osc), correcting an earlier alias at f = 0.032/T_osc. Extension to 3+1 axisymmetric dimensions yields a first positive result (ΔQ₂ = 0.507, 5.9σ above clean baseline). Four convergent negative results in 1+1 dimensions confirm that angular scarring is dimensionally gated. This is v1.3, incorporating Gate 3 (static coexistence), distance-dependence sweep, spectral correction, and the 3+1 first positive. Supersedes v1.2 (DOI: 10.5281/zenodo.19140568).
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Arturo Cerezo (2026) studied this question.
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