OUR MISSION

Our mission is to advance and openly communicate foundational research in physics. The Institute develops, tests and publishes the Measurement Quantization framework, makes its derivations and supporting analyses available to the scientific community, and encourages independent examination of its predictions and empirical claims.

Research is communicated through publications, preprints on ResearchGate, technical resources, collaborations and the Institute's online research program.

WHAT IS INFORMATIVITY?

Informativity is the Institute's broader foundational research program. Its current mathematical framework is Measurement Quantization (MQ), a count-based approach to physical description developed from the proposition that observable measure is not fundamental in the form in which it appears macroscopically.

MQ distinguishes discrete counts from their dimensional realization. Its three fundamental measures are the fundamental length $l_{\mathrm{f}}$, fundamental mass $m_{\mathrm{f}}$ and fundamental time $t_{\mathrm{f}}$, expressed in metres, kilograms and seconds, respectively. They provide the dimensional reference measures for the realized physical quantities.

The distinction between count structure and physical realization is central to the framework. In the Internal Frame, the underlying description consists of discrete relational counts. These counts do not themselves constitute observable physical distance, duration, mass or geometry. The Frames mapping relates this discrete configuration domain to the System Frame, its continuous relational encoding, in which physical observables are defined. This is the proposed organizing structure of MQ, described on the Institute’s Frames of Reference page.

This distinction provides the organizing principle used throughout MQ. Rather than assuming that the continuum quantities appearing in established physical theories are the most primitive description available, MQ asks whether those quantities can be reconstructed from a deeper count-based structure while preserving the successful macroscopic equations of physics.

The Institute explores that question across gravitation, electromagnetism, quantum phenomena, physical constants, galactic dynamics and cosmology.

WHAT IS MEASUREMENT QUANTIZATION?

Measurement Quantization is a first-principles kinematic framework for describing physical observables as realizations of discrete relational structure.

The research program seeks to construct physical descriptions from conserved count relations and their dimensional realization. Its aim is to account for observables without introducing an additional particle or spatial dimension solely to supply the proposed mechanism. Whether a particular calculation achieves that aim depends on its stated assumptions, inputs and derivation.

The physical significance of measure is therefore investigated rather than assumed. MQ distinguishes the count relations of the Internal Frame from their physical realization in the System Frame. The Frames of Reference discussion develops this distinction in detail.

Within the MQ formulation, observable quantities arise after the Frames mapping realizes conserved count structure. A measured distance, duration, mass, momentum or coupling is therefore not treated merely as a number assigned to an indefinitely divisible continuum. It is a System Frame realization of an underlying relational structure.

The Institute uses this construction to investigate several long-standing questions from a common foundation.

For example, MQ investigates relations between physical constants and the fundamental measures. For each numerical comparison, the measured constants used as inputs must be distinguished from quantities predicted by the calculation. These investigations include the gravitational constant, Planck's constant, the fine-structure constant, the electric constant, the magnetic constant, and Coulomb's constant.

The framework also identifies a simple relation among the fundamental measures, developed on the Institute's page describing The Fundamental Expression.

FROM COUNT STRUCTURE TO GRAVITATION

One of the central objectives of the current MQ research program is to determine whether the geometric structure used in gravitational physics can itself emerge from count structure.

In the MQ construction, realized separation is obtained through the Frames mapping from conserved count relations rather than introduced as a primitive geometric distance. The gravitational research examines how a macroscopic geometric description follows from that construction.

This construction has now been extended to the structure of General Relativity. In the 2026 preprint General Relativity as an Emergent Geometry of Discrete Measurement, the author presents a reconstruction of the metric, curvature, gravitational coupling and cosmological contribution from a common count-based kinematic construction.^[1] The claimed result is a reconstruction of the macroscopic form of Einstein’s field equation under the paper’s assumptions. Assessing that mathematical reconstruction and testing a distinct observable prediction are separate tasks.

The corresponding gravitational research is developed throughout the Institute's pages on Discrete Gravity, the Gravitational Constant, spatial curvature, and the equivalence of inertial and gravitational behavior.

GRAVITATION AND ELECTROMAGNETISM

MQ also investigates whether gravitational and electromagnetic phenomena can be understood as different realizations of one underlying kinematic structure.

The current formulation is presented in Kinematic Unification of Gravitational and Electromagnetic Phenomena. The preprint proposes gravitational and electromagnetic behavior as scale-dependent realizations of a shared count-based action through the Frames mapping.^[2]

The Institute's Unification of Gravity and Electromagnetism page develops the physical relationships underlying this work.

The significance of this approach is methodological. MQ asks whether both descriptions can be derived from the same kinematic structure, connecting their scale-dependent behavior within one mathematical construction.

QUANTUM PHYSICS

The same distinction between encoded count structure and realized observables is applied to quantum phenomena.

MQ treats the Internal Frame as containing discrete relational information before physical realization. Observable quantities arise in the System Frame through the Frames mapping. This provides the framework for investigating why discrete outcomes, continuous observable descriptions, probability and measurement appear together in quantum physics.

The current treatment is developed in Measurement Quantization: A Count-Based Resolution of the Quantum Measurement Problem. The preprint presents a deterministic account of measurement within its stated scope of non-relativistic quantum dynamics and laboratory measurement statistics.^[3]

Related Institute resources include Determinism and the Foundations of Quantum Behavior, Angular Measure & Momentum, and the discussion of the fundamental measures.

COSMOLOGY

MQ applies the same framework to the origin and large-scale evolution of the universe.

The current first-principles cosmological formulation is presented in Measurement Quantization: A First Principles Origin of the Universe. The preprint proposes universe initiation through constraints on the Frames mapping and develops cosmological consequences of that construction.^[4]

Institute resources examine the Quantum Epoch, the CMB Power Spectrum, the diameter and age of the universe, mass in the universe, dark energy, and Hubble's constant.

The cosmological program also investigates frame-dependent descriptions of expansion as an interpretation of the Hubble tension. A test of that interpretation requires tracing each predicted expansion rate to the relevant observational procedure, including shared calibrations and uncertainties. The construction of distinct rates alone does not establish the cause of the observational difference.

GALACTIC DYNAMICS AND DARK MATTER

MQ also applies its count-based gravitational description to galactic rotation.

The Institute investigates a fixed galactic realization law linking a baryonic gravitational source to the rotation velocity realized through the Frames mapping, without adding a fitted MQ dark-matter halo.

Its public Galactic Rotation / Dark Matter analysis reports a ratio of pooled predicted and observed mean velocities of 1.0001888 across 175 SPARC galaxies and 3,366 radial measurements. It also reports a root-mean-square velocity residual of 22.8203 km s⁻¹. These are descriptive results of the Institute’s calculation. A near-unity ratio of means does not describe the accuracy of every velocity prediction, and the radial measurements share galaxy-level uncertainties.^[5]

The observational database is described in SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves, by Federico Lelli, Stacy S. McGaugh and James M. Schombert.^[6] Publication of that database provides observational inputs; it is not an endorsement of the MQ analysis.

The Institute’s discussion also covers the Milky Way and a separate LITTLE THINGS dwarf-galaxy sample. These comparisons and the interpretation of inferred galactic mass are developed on Galactic Rotation / Dark Matter and Effective Mass of a Galaxy. Rotation-curve comparisons address galactic orbital dynamics. Broader claims about dark matter require corresponding tests of lensing, clusters and cosmological observables.

PHYSICAL TESTS AND FALSIFIABILITY

The purpose of MQ is not simply to provide alternative mathematical descriptions. Its claims are intended to be testable against observation and experiment.

The program includes observational comparisons and mathematical investigations with different assessment requirements:

• predictions for physical-constant realizations, including the gravitational constant;
• count-dependent distinctions between gravitational and electromagnetic realizations;
• the galactic acceleration relation and rotation velocities observed across large galaxy populations;
• distinct Internal Frame and System Frame realizations associated with the Hubble expansion;
• discrete-to-continuous realization through the Frames mapping;
• and the reconstruction of gravitational geometry from underlying count structure.

Mathematical investigations are assessed through their assumptions and derivations. Empirical comparisons require a specified observable, physical regime, input provenance, uncertainty treatment and reproducible calculation. Recovering a result used as input establishes consistency; a successful prediction tested against measurements withheld from calibration can support the prediction tested. Where alternatives yield the same observable result, agreement alone does not select the physical explanation.

The Institute’s objective is to document successful comparisons, discrepancies and unresolved tests within their actual scope. Evidence for an individual prediction contributes to the assessment of MQ only through the assumptions and dependencies that connect that prediction to the wider framework.

WHAT DO WE DO?

The Informativity Institute develops, documents and tests the Measurement Quantization framework.

Our work presently includes foundational research in:

• the nature and discreteness of measure;
• fundamental measures and physical constants;
• the relation between the Internal Frame, System Frame and Frames mapping;
• emergent gravitational geometry and General Relativity;
• the unification of gravitational and electromagnetic phenomena;
• quantum measurement and the realization of observables;
• the origin and evolution of the universe;
• galactic rotation and the phenomena conventionally attributed to dark matter;
• the geometric interpretation of dark energy;
• and quantitative comparison of MQ predictions with laboratory and astronomical measurements.

The Institute publishes the mathematical development of these subjects, maintains the supporting calculations and evidentiary record, and makes the research available for independent examination.

The central question guides this work.

Can the observable structure of physics be derived from a more fundamental count-based description of measure?

Measurement Quantization is the Institute's attempt to answer that question quantitatively, from first principles, and in a form that can be compared directly with experiment and observation.