∞-Groupoid Cosmology C; Unified Framework and Prospects for Information Cosmology

This paper proposes a theory of “universe pair” generation based on the quan
tization of the information potential difference (∆µ). The theory assumes that
the universe is a closed quantum information system, whose information potential
difference possesses a minimal quantum unit of ln2. When the information poten
tial difference undergoes a quantized transition, the system experiences a pairwise
branching via a CPT inversion, producing a forward-time-ordered universe and a
mirror universe with time reversal, charge conjugation, and spatial parity inver
sion. This process not only provides a statistical information-based explanation for
the origin of the arrow of time, but also predicts observable cosmological effects:
a sinusoidal odd-mode oscillation with a characteristic frequency of 3.2 × 10−4 Hz
and an amplitude of approximately 0.8% will appear in the primordial gravitational
wave power spectrum; an additional suppression of about 4.3 µK will appear in the
quadrupole of the CMB temperature anisotropy; and there may exist a tiny drift of
the effective cosmological constant of order ∆ΩΛ ∼ 10−5 in the late-time expansion
history. These predictions can be tested by future experiments such as LISA, SKA,
CMB‑S4, and LSST, thereby endowing the theory with clear falsifiability.