CHICAGO — The 2020 MQ cosmology paper develops a chain connecting an early-epoch mass-equivalent allocation with a present radiation density and cosmic microwave background temperature. Its quantity, age, density and temperature results belong to one proposed account. They are not independent experiments simply because they appear as separate numerical outputs.

The allocation is a model quantity expressed in mass-equivalent units. In the realized radiation account, multiplying it by the squared speed of light gives an energy, which is divided by the calculated volume. A blackbody relation then converts that energy density to a mean temperature. Figure 1 identifies the roles of the allocation, volume and temperature conversion.

Current MQ terminology distinguishes the quantum epoch’s pre-referenceable count scale from elapsed physical time. A number expressed in seconds or years for that domain is an SI-equivalent encoding, not an interval read by an intrinsic clock. Its mapped expansionary counterpart enters the allocation construction under the stated realization and normalization assumptions.

The adopted volume matters directly. The later forward temperature calculation uses a Planck-inferred present cosmic age and does not fit the observed CMB mean temperature. That still imports cosmological-model and CMB-information dependence through the age input. The result is a cross-scale consistency check, rather than a test independent of all CMB information.

A second calculation runs the relation in reverse. If the measured temperature is used to infer an age and volume, returning that temperature through the same allocation and radiation equations is closure. It can check consistency and implementation, but it is not a new prediction of the inserted temperature.

Radiation density and blackbody temperature are linked representations of the same radiation account. Agreement in both should not be counted twice as independent evidence. The construction also does not by itself establish recombination, thermalization, the anisotropy spectrum or a complete radiation-propagation history.

The companion Brief presents the mass-allocation, volume and temperature equations, a reproducible forward example and an explicit inverse closure. It separates the historical publication from later definitions, and shows how the adopted age normalization affects the calculated present temperature.

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