The MQ Collaboration for Foundational Research

The MQ Collaboration for Foundational Research brings together the theoretical, computational and experimental questions needed to evaluate that possibility. Its purpose is to make the framework reproducible, clarify its unresolved dependencies and develop tests that can discriminate between competing physical descriptions.

MQ distinguishes the Internal Frame, the primitive discrete count domain, from the System Frame, the relational realization of geometry and observable physical measures. The Frames mapping relates admissible count configurations to that realized description. These are levels of description within MQ; the primitive count domain is not an inertial observer frame or a literal lattice of physical distances.

The current foundations research examines which conclusions require additional MQ premises and which follow from the resulting mathematical construction. This includes the physical interpretation of the fundamental measures, the selection of admissible realizations and the connection between encoded structure and recorded observations.

Our Research Program

Foundations of measure and physical realization

The foundational program investigates the discreteness and countability of measure, the bounds to measurement counts and the conditions under which continuous physical descriptions can be recovered from count relations. A central task is to establish the assumptions that select a physical realization and determine how those assumptions constrain later predictions.

Recent work on the conditional necessity of the MQ frame descriptions makes this distinction explicit. Conservation constrains count balance, but conservation alone does not select a material detector, its interaction or a unique completed measurement event. Deriving those connections remains part of the research program. Conditional reconstruction results must retain the premises on which they depend.

Gravitation, electromagnetism and physical constants

MQ investigates whether the gravitational constant, the reduced Planck constant and electromagnetic quantities can be related through a common foundation of measure. The unification program develops these connections and examines their physical consequences.

A related line of inquiry asks how the metric, curvature, matter dynamics and gravitational coupling can arise within the same construction. The preprint General Relativity as an Emergent Geometry of Discrete Measurement presents an earlier stage of this work. Subsequent investigations sharpen the distinction between recovering particular matter dynamics and deriving unrestricted gravitational dynamics. A complete derivation of the latter remains an open requirement.

Galactic dynamics and observational tests

The galactic research applies a fixed MQ realization law to a specified baryonic mass distribution. Within this construction, the enhanced gravitational response is attributed to realization rather than to a galaxy-specific MQ dark-matter halo. The adopted baryonic source model and its uncertainties remain essential inputs.

The current analysis includes the Milky Way and the full published SPARC catalog of 175 galaxies and 3,366 radial measurements. Across that catalog, the ratio of point-weighted mean predicted velocity to point-weighted mean observed velocity is 1.0001888. The pooled root-mean-square velocity residual is 22.82 km s⁻¹, and the mean absolute residual is 16.20 km s⁻¹. Near-unity aggregate normalization therefore coexists with substantial residual scatter.

These measurements share galaxy-level distances, inclinations and source-reconstruction inputs. Their correlations must be retained when assessing statistical evidence. Continued work examines residual structure, the sensitivity to baryonic reconstruction and the transfer of the same fixed law to independent populations. The Dark Matter and Effective Mass of a Galaxy pages provide the detailed analysis.

Quantum phenomena and measurement records

The quantum research program investigates how normalized probabilities, phase, evolution and correlations can be represented through the MQ frame descriptions. The measurement problem adds a further requirement. A physical account must connect the encoded description to an interacting apparatus and a persistent observable record.

Current work tests proposed interactions and record mechanisms under declared assumptions. A normalized probability representation or a conditional reconstruction does not by itself establish a unique physical outcome mechanism. The objective is to identify the additional dynamics and experimentally accessible consequences needed to complete that account.

Cosmology and the limits of present constructions

The cosmology program investigates the frame-dependent interpretation of Hubble's constant, the geometric interpretation of dark energy, the quantum epoch and the cosmic microwave background power spectrum. The proposed Hubble realizations must be tested against independent measurements and their inference assumptions, including observations that differ from earlier benchmarks.

Recent cosmological work also examines the conditions under which an evolving geometric scalar can be interpreted as a term in gravitational dynamics. The current MQKB retains conditional scaling results while recording a failed background-consistency test for a specified pressureless-matter realization. Geometric scaling alone does not exclude a constant cosmological term. Deriving compatible metric dynamics and a complete cosmological realization remains necessary.

A Laboratory Test in Development

The Institute is studying a contactless, magnetically suspended beam experiment to compare gravitational response under two measurement conditions. In one condition, the beam responds freely with electrostatic drive switched off. In the other, electrostatic feedback holds its pitch near zero. Reversing the source masses provides a signed gravitational comparison using the same suspended object and support circuit.

The scientific objective is to determine whether any surviving contrast between the conditions can be distinguished from conventional source geometry, suspension response, deformation, electrical conversion and readout effects. Independent calibration is central to that distinction. An angle reference alone cannot establish the relative static restoring torque or electrostatic force conversion.

The immediate design problem is the source and enclosure geometry. The retained comparison source intersects the ideal closed magnetic boundary. Relocating the source masses can provide geometric clearance, but the tested positive-mass profiles have not retained the desired flat gravitational field. A collision-free, physically admissible source and enclosure design must be established before the comparison can become an accepted apparatus layout.

The remaining qualification work couples the magnetic response, loaded elastic deformation, optical transfer, guarded electrostatic actuator, cold heat flow and control recovery. Numerical convergence in one idealized component cannot supply an uncertainty bound for the complete experiment. Mechanical and electrical conversion must be independently constrained without adjusting corrections to force agreement between the science conditions.

The design retains targets of 0.1 parts per million statistical precision and less than 5 parts per million total standard uncertainty relative to a conditional comparison gap, alongside a separate 20 attonewton-metre engineering target. These are requirements, not achieved sensitivity. The complete candidate uncertainty remains unknown, and the comparison denominator must be experimentally defined before physical error bars are reported.

A minimum 60-day automated recording campaign after commissioning and thermal stabilization remains a planning requirement. The final usable exposure depends on source movement, settling, thermal recovery, calibration and the response of the completed apparatus.

From Derivation to Independent Validation

Our research begins by stating the physical question, source inputs and mathematical premises. Calculations must then be reproducible, with dependencies carried forward consistently. A prediction becomes more informative when it can be applied to new data without introducing adjustments specific to that comparison.

Historical measurements of the gravitational constant provide important experimental context for the laboratory program. Differences between methods motivate careful comparison of measurement configurations and conventional systematics. They do not, by themselves, identify an MQ mechanism. The same standard applies to astronomical agreement and conditional quantum constructions.

For laboratory work, raw source reversals, measurement conditions, witness records and correction inputs must remain available for independent analysis. Shared uncertainties require a common covariance model. A calculated correction, a small solver residual and an experimentally measured standard uncertainty are different quantities and must be reported accordingly.

For galactic and cosmological work, validation requires the residual distributions, source assumptions and correlations that accompany the headline result. Persistent disagreements must be evaluated alongside agreements. The framework gains explanatory force only when its fixed structure survives tests beyond the cases used to develop it.

The Next Research Priorities

A complete time-dependent gravitational realization law remains a major objective. Present stationary galactic applications must be extended before they can support simulations of formation, evolution and strongly disturbed systems. Gravitational lensing, galaxy clusters and large-scale structure require their own quantitatively complete tests.

The foundational program must also resolve the selection of physical interactions and measurement records, establish the allowed variations needed for gravitational dynamics and develop a compatible cosmological solution. Agreement with a stationary rotation curve or a selected cosmological quantity does not complete these tasks.

The experimental program must first close its source-clearance conflict and qualify the complete loaded measurement chain. A meaningful physical comparison requires an apparatus-specific prediction, independent conversion references, a defensible uncertainty budget and tests that can recover withheld changes without assuming the desired result.

These priorities define concrete ways to challenge MQ. A fixed relation that persistently fails under independently constrained inputs requires revision or rejection within that application. Successful transfer across independent phenomena would provide stronger evidence than agreement with a single benchmark.

Collaboration and Reproducibility

The next stage benefits from precision metrology, cryogenic and magnetic engineering, electrostatic force calibration, optical measurement, numerical modeling, astronomical source reconstruction and mathematical analysis. Independent replication and well-founded attempts to falsify the predictions are central contributions to the collaboration.

Researchers can begin with the Institute's publications, its separately identified preprints and the ResearchGate research archive. Publication status, model assumptions and outstanding qualifications should accompany any result selected for further investigation.

Our objective is to determine whether a discrete foundation of measure can support a coherent physical theory whose predictions withstand independent measurement. That objective requires continued derivation, transparent uncertainty, reproducible analysis and experiments capable of showing where the framework succeeds or fails.