Published June 15, 2026
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AQM Paper XIV: Falsifiable Cosmological Predictions from Discrete Spectral Layers CMB Log-Periodicity, Arrhenius Curvature Parameters, and Dark-Matter Damping under Channel Audit
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Description
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.
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