CHICAGO, SEPTEMBER 8, 2026 — The current MQ construction explicitly separates a dimensionless invariant coefficient from its angular and momentum realizations. The clarification is important because a shared numerical value does not make two quantities with different units physically identical.

The invariant appears in several parts of Measurement Quantization. An angular realization carries angular meaning; a momentum realization carries momentum dimensions. The framework supplies a realization relationship between them rather than treating their units as optional labels.

This distinction affects how claims about connections between gravitation and electromagnetic phenomena should be communicated. MQ proposes a common underlying measurement structure. It does not identify the gravitational field and the electromagnetic field as the same physical field or erase their different observable behavior.

In the dimensionally explicit fundamental relation below, $l_f$, $m_f$, and $t_f$ denote fundamental length, mass, and time. $p_{\mathrm{si}}$ denotes the momentum realization. The dimensionless invariant is a distinct quantity; it is not substituted for a momentum without its dimensional realization.

It also matters to the historical account of the program. Geiger’s early numerical observation helped motivate the research, but the subsequent scientific question concerns the dimensional derivation and its measurable consequences. A numerical coincidence can suggest a hypothesis; it cannot replace that derivation.

The current notation addresses a practical risk in public-facing graphics. A compact equation may look persuasive while concealing a dimensional mismatch. A journalist should be able to follow the units through the relation and identify which quantity is a scalar, which is an angle, and which is momentum.

The clarification is a methodological development rather than a new laboratory discovery. Its value is that it makes the proposed common structure more precisely testable and reduces ambiguity in comparisons with experiment. Any claim of physical unification must still be supported by the complete mapping and dynamical construction, not by equal-looking coefficients alone.

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