Abstract
The formation of toponium, a bound state of top and anti-top quarks, provides an unprecedented system for investigating quantum state dynamics at ultrashort timescales. We explore two distinct phenomenological descriptions of this process: a 'wavelike' scenario emphasizing the role of quantum superposition at creation, and a 'particlelike' scenario where a finite formation time is governed by relativistic causality. Both descriptions are compatible with the principles of relativistic quantum field theory. We propose to distinguish these scenarios by exploiting the top quark's intrinsic lifetime (τ_t ∼ 5.02 × 10⁻²⁵\,s) as a quantum chronometer. We simulate the cross-section ratio R_b = σ(e⁺e⁻ → bb)/Σ_q σ(e⁺e⁻ → qq) (q = u,d,s,c,b) near √s = 343\,GeV at future lepton colliders (CEPC/FCC-ee). These distinct scenarios yield observable R_b profiles, enabling >5σ discrimination with 1500\,fb⁻¹ of data. Preliminary LHC data provide independent 2--3σ support. This framework establishes a collider-based method to explore time-dependent quantum phenomena in particle production with yoctosecond (10⁻²⁴\,s) resolution.