This paper establishes a falsifiable cosmological prediction frame work within Algebraic Quantum Morphogenesis (AQM). The purpose is to extract, from the three-step condensation structure, boundary center readout, discrete spectral-layer scale, and Arrhenius-type cos mological response, a set of predictions with explicit parameter sources, well-defined observational channels, and falsification criteria. Nu merical outputs in AQM are treated as channel-dependent readout quantities: each constant must be accompanied by its source formula, readout channel, input status, claim level, and falsification condition. The first prediction concerns the logarithmic periodicity induced by the discrete spectral-layer scale σ = 21/3 . This scale fixes the AQM logarithmic frequency ωAQM = 2π ln σ = 6π ln 2 ' 27.2. If an AQM discrete-layer signal is present in CMB low-multipole resid uals or in a global primordial power-spectrum template, the TT, TE, and EE channels should share the same logarithmic frequency. The paper further distinguishes the low-multipole boundary-residual am plitude from the globally fitted primordial power-spectrum amplitude. These two amplitudes are related by an observational-window and boundary-readout dilution hierarchy, so a low-ℓ boundary residual 1should not be identified directly with an undiluted global primordial oscillation. The second prediction concerns the Arrhenius dimensionless ex ponent DAQM ' 8.94. This parameter enters the JWST high-redshift luminosity-evolution channel and the DESI/Euclid dark-energy-curvature channel. It is not a redshift-count peak location. In the JWST channel, the relevant observable is the value DJWST obtained from high-redshift ultraviolet luminosity functions, the characteristic magnitude MUV ∗ (z) = A + B ln(1 + z) + C exp[ − 1 + D z ] , or star-formation-rate-density evolution. In the DESI/Euclid channel, the relevant observable is the value DDE obtained from dark-energy equation-of-state or distance data, for example through w(z) = −1 + η exp[ − 1 + D z ] . The hard cross-channel interface prediction is therefore DJWST ' DDE ' DAQM ' 8.94. Local structures in galaxy redshift histograms may serve as auxiliary diagnostics, but they do not replace the template-level inference of the Arrhenius parameter D. The framework contains seven main falsifiable predictions. First, the CMB logarithmic frequency should be ωAQM ' 27.2. Second, the TT, TE, and EE spectra should share this frequency if the signal is physical. Third, the low-multipole residual amplitude and the global primordial power-spectrum template amplitude should obey a window dilution hierarchy. Fourth, JWST high-redshift luminosity evolution should test whether DJWST is compatible with DAQM ' 8.94. Fifth, DESI/Euclid dark-energy curvature should test whether DDE is com patible with the same constant. Sixth, the JWST and DESI/Euclid channels should return a common Arrhenius parameter within their uncertainties. Seventh, late-time structure growth should exhibit a suppressed value of S8 relative to the standard ΛCDM expectation. For each prediction, the paper states the readout channel, the rel evant null tests, and the falsification criteria needed for CMB-S4, LiteBIRD, JWST, DESI, Euclid, Roman, and future weak-lensing and large-scale-structure data.