^a 2018 Planck collaboration results using TT,TE,EE+lowE.

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• θ_si can be measured as the polarization angle of quantum entangled X-rays at the degenerate frequency of a maximal Bell state. As an angle θ_si=3.26239 rad ± 2 μrad; as a momentum θ_si=3.26239030392(48) kg m s^-1 and with respect to the Target Frame, θ_si has no units. The relation of angle and mass is mathematically demonstrated, as well, by No-Ping Chen, et. al.

• Ω_vis is that domain of the universe that is presently visible.
• Ω_obs is that domain of the universe that is presently visible or will be visible given infinite elapsed time.
• Ω_dk is that domain of the universe that will never be visible.
• Ω_uobs is that domain of the universe that will eventually be visible but is not presently visible.
• Ω_tot is the entire domain that makes up the universe (i.e., 1 or 100%).
• Ω_f is that domain of the universe that is fundamental. Its physical significance describes a pivot point with respect to the remaining domains.

One means to assess the curvature of space is by measure of the multipole moment of dark matter. This measure is difficult to assess, most often estimated as a value of 220, consistent with a description of the universe that is at its threshold.

Using an approach known as Measurement Quantization (MQ) - a physically significant nomenclature whereby classical expressions are expressed using counts n_L, n_M, and n_T of fundamental measures l_f, m_f, and t_f - we can resolve a parameter free description of the multipole moment. We don't use lambda CDM to achieve this. Rather, we consider a time-based interpretation of the measurable universe. We call these divisions, observational domains.

That is, there is what is visible Ω_vis. Then there is that which will be visible but is not presently visible, the observable, Ω_obs. There is the difference between them, the unobserved Ω_uobs. And then there that which will never be visible due to the metric expansion of space ... the dark Ω_dk.

These domains overlap with the lambda CDM power spectrum (i.e., the visible, dark matter and dark energy). There is a physical correlation, but we do not propose that this is a replacement for these phenomena. For those investigating more details regarding dark matter and dark energy, follow the article links provided.

We can now proceed. The details of this derivation are provided above.

The term θ_si is defined as the Planck momentum when resolved with respect to the discrete Measurement Frame of the observer. Frames of reference are important in MQ, which also considers the non-discrete Target Frame of the universe. MQ arises from an analysis demonstrating that the notions of measure - length, mass, and time - are a function of physically significant, discrete, countable references. It follows, that θ_si, a composite of those references, is also constant. And as there are no other physical constants in the expression, we find the multipole moment of dark energy constant.

One might present that the approach is merely a geometry, and thus not a physically correlated approach to assessing universal curvature. We recognize this challenge and complete the analysis by comparing each term in the fundamental expression (i.e., the Planck momentum) to assess its correspondence with a flat universe. We accomplish this using measures of the CMB.

And such that each expression is primarilly a function of one measure in the Planck momentum and such that all expressions match CMB measurements to a significant precision, we find the MQ calculation of the multipole moment of dark matter to be physically significant and precise.