The scope of the cosmic account

The release concerns how one count-based framework connects cosmic scale and accumulated mass-equivalent content. It is not a new galaxy mass survey. The quantities in the calculation include physical reference measures, a realized age and an allocation of all mass-equivalent forms of energy. Their meaning is broader than a census of stars, gas or rest masses. [1] [2]

MQ begins with discrete measure and distinguishes logical count relationships from their physical realization. The Internal Frame is the discrete configuration domain. The System Frame is the realized relational encoding connected by the Frames mapping. Before referenceability, configuration ordering is not ordinary elapsed time read by a physical clock. A later SI-equivalent encoding must not be described as a clock or kilogram already present in that domain. [1] [2] [9]

Keep coefficient, momentum and references distinct

Let ${\mathrm{𝜃}}_{\mathrm{𝑠}\mathrm{𝑖}}$ be the dimensionless invariant MQ coefficient. Let ${\mathrm{𝑙}}_{\mathrm{𝑓}}$, ${\mathrm{𝑚}}_{\mathrm{𝑓}}$ and ${\mathrm{𝑡}}_{\mathrm{𝑓}}$ be fundamental length, mass and time in m, kg and s. The momentum realization ${\mathrm{𝑝}}_{\mathrm{𝑠}\mathrm{𝑖}}$ has units kg m s⁻¹. Equation (1a) states the dimensionally explicit fundamental relation used in converting the global count account to a rate. [1] [2]

The coefficient and momentum can share a numerical coordinate under the adopted SI realization while remaining different quantities. The coefficient’s cube remains dimensionless in the mass-allocation equation below. Replacing that cube by a momentum cube would change the units and would not reproduce the source equation. [1]

Elapsed temporal count and total allocation

Let ${\mathrm{𝐴}}_{\mathrm{𝑈}}$ be System Frame age expressed in s, and ${\mathrm{𝑛}}_{{\mathrm{𝑇}}_{\mathrm{𝑢}}}$ the corresponding universe-context temporal count parameter. Equation (2b) specifies the realized encoding. Its nested universe label identifies the count’s context. The continuous numerical encoding used for cosmological outputs is distinct from a claim that every evaluated ratio is a primitive integer configuration. [2]

Let ${\mathrm{𝑀}}_{\mathrm{tot}}$ be the total accumulated realized mass-equivalent allocation in kg. Equation (3c) is the current count relation. Each additional unit of the specified realized temporal count carries the model’s mass-equivalent factor, fundamental mass multiplied by half the coefficient cube. This states the global accounting prescription; it does not identify an observed production mechanism. [1] [2]

The right side has units kg because both the count and coefficient are dimensionless. Neither a dimensionless percentage nor the reciprocal of a mass can replace the temporal count. The same total is also written with a universe-mass symbol in the age manuscript; the physical quantity retains kilogram units in either notation. [1] [2]

From the count relation to a global rate

Let ${\mathrm{𝑀}}_{\mathrm{𝑎}\mathrm{𝑐}\mathrm{𝑟}}$ denote the global realized mass-equivalent accumulation rate in kg s⁻¹. Dividing the allocation per temporal count by fundamental time gives Equation (4d). Substitution from Equation (1a) yields its momentum form. Both expressions use the same references and have rate units. [1] [2]

Combining Equations (2b)–(4d) gives Equation (5e). At fixed coefficient and references, the stated global allocation grows linearly with realized age. This is the relation evaluated in the current source, not a claim that the baryonic mass of each galaxy grows at the same rate. [1]

The historical term accretion in the rate’s symbol refers to this cosmological realization account. Gas crossing a galactic boundary, black-hole accretion and halo assembly have their own source, transport and observational descriptions. Equation (5e) supplies none of those local flow rates. Interpreting the global allocation physically also requires a conservation and dynamical account, beyond the scalar identity. [1] [2]

The corresponding physical diameter

Let ${\mathrm{𝐷}}_{\mathrm{𝑈}}$ be the model’s physical cosmic diameter in m and $\mathrm{𝑐}$ vacuum light speed in m s⁻¹. Equation (6f) is the current age–diameter relation. The coefficient is dimensionless, and multiplication by light speed converts the temporal extent into a length. [1] [2]

This physical diameter is distinct from the extent of a visible or observable referenceability domain, a conventional particle horizon and a sound horizon. Its mapped radial rate is also distinct from a local propagation speed. A claim that either quantity has been independently measured needs the matching observational definition and physical model. [2]

Numerical inputs and epoch selection

Table 1 identifies the shared numerical profile. The fine-structure input selects the coefficient for the universe represented in the calculation; the CMB temperature locates the epoch through the adopted age prescription. Exact SI constants anchor the dimensional normalization. These roles do not mean that the measured selectors supplied every equation’s form, or that their later recovery provides new independent data. [1] [2] [4] [5]

The age calculation uses the source’s CMB radiation relation and interepoch mapping, including its explicitly stated one-second normalization. The pre-referenceable epoch is encoded in later time units; it is not assigned an intrinsic clock by that normalization. The present Brief evaluates the current prescribed chain rather than independently deriving its temporal reference or early radiation history. [1] [2]

The independent temperature source is Fixsen’s literature determination, rather than the separate FIRAS–WMAP recalibration value in that paper. The exact SI radiation constants are used in the forward evaluation. A 90-digit recalculation propagated the common inverse fine-structure input and the independent temperature input through the entire age, rate, mass and diameter chain. [4] [5]

Reproduced age, rate, mass and scale

Table 2 gives the reproduced results. Parentheses denote conditional standard uncertainty in the final displayed digits. Gyr and Gly mean a billion Julian years and a billion light-years; one Julian year is 31557600 s, and one light-year is light speed multiplied by that year. The rate is not an observed cosmic mass-production measurement. [1] [2]

For the central profile, the age is about 4.353 × 10¹⁷ s. Multiplying it by the rate gives the total allocation; using the same age in Equation (6f) gives the diameter. Figure 1 shows how both outputs vary when the realized age is changed while the coefficient and references remain fixed. Its curves are mathematical evaluations rather than observed cosmic histories.

The fractional age uncertainty is about 2.79 × 10⁻⁴ and dominates the mass and diameter uncertainties. The rate’s conditional relative uncertainty is much smaller, about 3.83 × 10⁻¹⁰. Mass and diameter share the age dependence and are therefore strongly correlated. A comparison or ratio must propagate those shared inputs instead of combining their printed errors as independent observations. [1] [2] [10]

Fractions allocate the total; they do not set its scale

Table 3 applies the current fixed MQ referenceability fractions to the same total mass. Visible means presently referenceable in the stated domain description. Observable includes the visible domain and its presently unobserved remainder that becomes referenceable under the adopted expansion description. The dark complement remains beyond referenceability in that description. These are model domain definitions, not a direct inventory of matter species. [1]

Visible plus presently unobserved equals the observable subtotal; observable plus dark complement equals the total. Adding the observable subtotal again to its own components would double-count mass. Figure 2 displays the three disjoint allocations. The separately defined fundamental fraction, 18.7913577188(29)%, is a normalization pivot and is not an extra additive component. [1]

The fraction uncertainties share the same coefficient calibration. The kilogram allocations additionally share the age and total-mass uncertainty. Their many printed digits therefore do not describe independently measured cosmic boundaries or masses. A percentage must first be divided by one hundred before it is used as a dimensionless multiplier of the total. [1] [10]

Physical interpretation and independent tests

The source compares these allocations with conventional cosmological density fractions. Planck parameter inferences depend on a specified cosmological model and likelihood. Similar central percentages do not establish identical physical contents, expansion histories or perturbations. In particular, the MQ dark complement is not identified with a dark-energy component by numerical resemblance alone, and the kilogram column in Table 3 was not measured by Planck. [1] [6]

A physical account of global accumulation needs to specify what is conserved, what is realized and how local matter, radiation and geometry evolve consistently. A scalar increase of an accounting quantity does not by itself identify a particle-production process, source term or transport mechanism. An independent test must compare a defined observable with data not already used to select the epoch and calibration. [1] [2] [8]

The broader cosmological record also informs galactic applications, but this does not make every global mass allocation an input to a rotation-curve calculation. The current galactic dependency uses the frame-resolved expansion rate and corresponding acceleration scale. Its observational tests require their own baryonic sources, kinematic data and uncertainty treatment. [7]

Chronology and reporting requests

September 8, 2026 is the recorded source or audit snapshot retained by this retrospective release. It is not established here as the date of first discovery, original announcement or journal publication. The current public manuscripts include later dimensional and numerical qualifications. This Brief was prepared November 2, 2026; journal publication of these current MQ versions is not established. [1] [2]

For interviews, request the count and dimensional ledgers, the precise temporal normalization and the conservation account. Ask whether a quoted size is the physical diameter or a particular observational horizon. Keep the age dependence and covariance visible, and ask which observable could distinguish the proposed global realization from competing cosmological histories.