The Informativity Institute conducts foundational research into Measurement Quantization (MQ), a first-principles framework in which observable physical quantities are realized from an underlying discrete count structure.

The Institute's research program has two complementary objectives:

1. Advance the theoretical framework by deriving physical relations from the fundamental structure of measure and identifying new consequences that follow from those derivations.

2. Test those consequences against experiment and observation using laboratory measurements, astronomical data and predictions that can distinguish MQ from alternative descriptions.

The distinction is essential. A mathematical framework becomes physically meaningful only to the extent that its consequences can be compared with nature. For that reason, the Institute's work increasingly emphasizes not only derivation, but prediction, validation and falsifiability.

The current research program spans the foundations of measure, gravitation, electromagnetism, quantum phenomena, galactic dynamics and cosmology.

The MQ Collaboration for Foundational Research is intended to bring together researchers interested in testing and extending the consequences of Measurement Quantization.

MQ begins with a simple question: what changes if physical measure is not indefinitely divisible, but instead arises from discrete count relations?

From that starting point, the framework introduces three fundamental measures—length l_f, mass m_f and time t_f—and distinguishes the discrete relational structure of the Internal Frame from the observable physical quantities realized in the System Frame. The transformation between these descriptions is the Frames mapping.

This architecture is now being investigated across several areas that are ordinarily treated as separate problems in physics. They include the origin of the physical constants, gravitation, electromagnetic coupling, the quantum measurement problem, galactic rotation, the Hubble tension and the evolution of the universe.

The objective of the collaboration is therefore not simply to expand MQ mathematically. It is to identify where the framework makes sufficiently precise claims that they can be tested independently.

The Institute's current work can be organized into four closely connected research programs.

The most fundamental MQ research concerns the physical meaning of measure itself.

Conventional physics generally begins with dimensional quantities such as distance, duration, mass, velocity and energy and then describes relations among those quantities. MQ asks whether those observables can instead be reconstructed from a more primitive discrete structure.

Research in this area includes:

• establishing the discreteness and countability of measure;
• defining the fundamental measures;
• investigating the upper count bounds associated with those measures through Measurement Count Bounds;
• developing the distinction between the Internal Frame and System Frame;
• formalizing the Frames mapping through which count structure becomes physically observable;
• and determining which familiar physical quantities can be derived rather than introduced independently.

This research provides the mathematical foundation on which the remainder of MQ depends.

A second major research program concerns the possibility that quantities conventionally treated as independent physical constants can be derived from common underlying relationships.

MQ has been applied to the gravitational constant, Planck's constant, the fine-structure constant and the electromagnetic constants, as well as to relations among the fundamental measures themselves.

The work has also progressed beyond individual constants toward a more general question: whether gravitational and electromagnetic phenomena can arise from the same underlying count structure.

The Institute's current unification research investigates gravitational and electromagnetic behavior as different physical realizations of a common kinematic foundation.

A related research program investigates the emergence of gravitational geometry itself. Rather than taking spacetime geometry as the most primitive description, MQ asks whether the metric and related geometric structures can arise through realization from discrete relational information.

This approach is developed in the current ResearchGate preprint General Relativity as an Emergent Geometry of Discrete Measurement.

MQ provides several predictions that can be confronted directly with astronomical observations.

One of the most extensively developed examples concerns galactic rotation.

Within MQ, the departure of observed stellar velocities from the Newtonian baryonic prediction is produced through realization rather than by modifying Newton's inverse-square source law. The resulting velocity relation contains no galaxy-specific acceleration scale or empirical interpolation function beyond the adopted baryonic mass model.

This provides a particularly direct test of the framework.

The Institute has compared MQ with the Milky Way and large samples of external galaxies, including the SPARC database. The current SPARC analysis contains 175 galaxies and 3,366 radial comparisons. Across the complete population, the mean MQ-predicted to observed velocity ratio is approximately 1.00019.

Because uncertainties in stellar and gaseous mass reconstruction propagate directly into the predicted gravitational response, continued testing with improved baryonic measurements remains an important part of the research program.

The relevant work is presented in the Institute's discussions of Dark Matter, Effective Mass of a Galaxy, and the derivation of the galactic radial acceleration relation.

The framework also makes cosmological predictions.

MQ resolves two frame-dependent Hubble realizations:

H_sys = 68.259(19) km s^-1 Mpc^-1

and

H_int = 73.508(21) km s^-1 Mpc^-1.

Within MQ, these are interpreted not as two unrelated expansion rates, but as two realizations of one expanding geometry associated with the System Frame and Internal Frame.

This research connects to the Institute's work on Hubble's Constant, Dark Energy, the Quantum Epoch, the CMB Power Spectrum, and the broader origin and evolution of the universe.

A central objective of the Institute is to move progressively from theoretical consistency to independent physical tests.

Several classes of evidence are presently being studied.

Measurements of the gravitational constant. MQ predicts discrete realization structure in G. Historical measurements of the gravitational constant exhibit substantially more dispersion than their quoted uncertainties would ordinarily imply. Recent BIPM and NIST torsion-balance measurements provide an especially important test because the experiments can be compared across different measurement configurations.

The 2026 NIST replication of the BIPM torsion-balance experiment reported a combined value

G = (6.67387 ± 0.00038) × 10^-11 m³ kg^-1 s^-2.

Current MQ research examines whether the separation observed among experimental modes is consistent with the realization structure predicted by the theory while also explicitly considering conventional experimental systematics. This work is discussed on the Institute's Gravitational Constant page.

Galactic rotation. Large galaxy samples provide a direct falsification opportunity because the MQ velocity relation is not independently fitted to each galaxy. Systematic disagreement across sufficiently precise galaxy populations, after accounting for uncertainties in the baryonic mass models, would constitute evidence against the MQ interpretation.

Cosmological measurements. The two predicted Hubble realizations can be compared with independently obtained early- and late-universe measurements. Improved observational precision provides an increasingly strong test of the predicted frame separation.

Quantum phenomena. The distinction between count structure in the Internal Frame and physical realization in the System Frame provides a framework for investigating the quantum measurement problem. Current research asks whether the same realization mechanism that appears elsewhere in MQ can account for the transition between encoded quantum structure and observable outcomes. See Determinism and the Foundations of Quantum Behavior.

MQ is an active research program. Several important problems remain unresolved.

The most significant theoretical requirement identified in the current MQ framework is the derivation of a fully time-dependent realization law.

Most present galactic applications describe systems sufficiently close to equilibrium. A dynamical realization equation would make it possible to follow the evolution of gravitational systems through time and would permit direct numerical simulations of structure formation within the MQ framework.

That development would open several important tests.

Galaxy formation and evolution. A dynamical formulation should reproduce not only present-day rotation curves but the evolution of those systems over cosmic time.

Galaxy clusters and non-equilibrium systems. Strongly disturbed systems provide a means of testing whether physical realization is effectively instantaneous or proceeds on a finite timescale.

Gravitational lensing. A complete gravitational theory must reproduce the lensing associated with the same matter distributions that produce dynamical effects. Galactic rotation alone is therefore not sufficient to establish the broader gravitational interpretation.

Large-scale structure. A time-dependent MQ model must ultimately be tested against galaxy formation, cluster evolution and the observed distribution of matter throughout the universe.

Cosmic microwave background phenomenology. The existing MQ description of cosmological geometry must ultimately be tested against the complete precision structure of CMB observations rather than selected scalar quantities alone.

These are not peripheral questions. They are among the principal tests capable of determining whether the MQ realization framework applies universally.

An important objective of current MQ research is to state not only where the framework agrees with observation, but also where it could fail.

For galactic dynamics, persistent systematic disagreement across sufficiently precise galaxy samples after documented baryonic uncertainties are accounted for would weigh against the MQ realization model.

Likewise, a successful treatment of galactic rotation would not by itself establish the framework if the same underlying realization law failed to describe gravitational lensing, cluster dynamics or cosmological structure.

Conversely, the ability of one first-principles realization law to reproduce independently measured phenomena across these different physical regimes would provide substantially stronger evidence than agreement with any single observation.

This is why the Institute places increasing emphasis on cross-domain tests.

A theoretical relation derived in one context should not be re-adjusted when applied somewhere else. Quantities established in the foundational framework should propagate forward as fixed inputs to later predictions wherever the theory says they apply.

That principle makes the research program progressively more constrained as it develops.

The Institute follows a research process built around five steps:

1. Begin with established physical relations. MQ does not start by introducing an arbitrary phenomenological correction.

2. Express the problem in terms of discrete count structure. Dimensional quantities are related to counts of the fundamental measures wherever the framework permits.

3. Derive the physical realization. The relation between the Internal Frame and System Frame is resolved through the Frames mapping.

4. Identify predictions that were not used to construct the relation. These provide the most informative physical tests.

5. Compare those predictions with independent measurements. Agreement, disagreement and experimental uncertainty are all retained as part of the evidentiary record.

This distinction between derivation and validation is fundamental to the Institute's work.

The next stage of MQ research increasingly requires expertise and data beyond the development of the theoretical framework itself.

Potential areas for collaboration include:

• precision measurement of G and other physical constants;
• experimental analysis of torsion-balance measurement modes;
• independent replication of MQ calculations;
• galactic rotation and baryonic mass modeling;
• gravitational lensing;
• galaxy-cluster dynamics;
• cosmological structure formation;
• CMB analysis;
• numerical simulation of a time-dependent realization law;
• and mathematical analysis of the Frames mapping and emergent gravitational geometry.

The Institute welcomes rigorous examination of both the theory and its predictions. Independent attempts to reproduce, challenge or falsify MQ are as important to the scientific process as attempts to extend it.

Our current publications and ResearchGate research archive provide the starting point for that work.

The long-term objective of the Informativity Institute is straightforward:

Determine whether the measurable structure of physics can be derived from a discrete relational foundation and whether the predictions of that framework survive increasingly precise experimental and observational tests.

That requires more than finding mathematical relationships.

It requires predictions.

It requires independent measurements.

It requires replication.

And, most importantly, it requires a framework that nature is capable of proving wrong.