Experimental findings show long-lived angular memory in oscillons after collisions in 2+1 dimensions, suggesting new insights for scalar field dynamics.
We report the first positive result on relational remanence in the oscillon program of the RCD 2.0 framework. After four convergent negative results in 1+1 dimensions — symmetric collision, structured environment, asymmetric potential deformation, and k-essence with finite beta — establishing that attractor rigidity is structural in one spatial dimension, we pass to 2+1 dimensions where angular degrees of freedom become available. A radial oscillon baseline confirms metastability (Gate 0). Controlled quadrupolar perturbations reveal a transient angular channel with no permanent mode (Gate 1b). Head-on and oblique collisions excite Q_2 to levels 58 times the radial baseline with spectral coherence SNR ~ 22, verified by dual independent trackers (Gate 2b). Ultra-long runs to 1000 oscillation periods for both b = 0 and b = 3 show that Q_2 does not return to baseline: the signal is well described by a transient component (tau ~ 250 T_osc) plus a nonzero late-time offset Q2,inf ~ 0.014, more than 47 times the radial background, with spectral coherence persisting beyond 500 T_osc. The residue reproduces in both impact parameters, confirming robust long-lived angular memory induced by collision in 2+1 dimensions. Part of the Radial Coherential Dynamics (RCD) 2.0 program.
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Arturo Cerezo (2026) studied this question.
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