Branch structure
- Current result. What is published for the branch today, and what is not yet done.
- Core definition. General and institutional definitions of the core sector, cited to source.
- VMS basis. The published pillars (Mechanics, Particle Mechanics, Electromagnetism, Thermodynamics) that underlie the branch.
- Mathematics. Derivations from the published foundation under a single action scale, without refitting between disciplines.
- Verification and falsification. Established experiments compared against the legacy expectation and the VMS expectation, with pass and fail thresholds fixed in advance.
- Publications. Branch papers and short companion papers as results are completed.
Research standards
- A single action scale, set at the electron and not retuned.
- Declared calibration anchors (electron, hydrogen, muon), held separate from tests.
- Ratio-first results with stated uncertainty.
- Pass and fail thresholds registered before comparison.
- Derivations open to public audit.
Status key
- Foundation published Pillar derivations underlying the branch are published.
- Experiment published A related experiment is published with data and lab notes.
- Lattice tables published Computed lattice tables are published with measured values and residuals.
- In development Branch paper in preparation.
- Exploratory Early-stage work. Not evidence either way until tested.
- Patent filed Methods applied in this area are the subject of filed U.S. non-provisional and international (PCT) patent applications.
- Patent pending This area is covered by a pending U.S. patent application.
- Patent coverage, general area Proposed techniques in this area fall within the general scope of filed or pending applications.
How the branches connect
Applied physics today uses a separate toolkit at each scale: quantum chemistry for molecules, density-functional theory (DFT) for solids, molecular dynamics for materials, and Monte Carlo and empirical models for transport, ageing and processing. Multiscale workflows link them, and each link carries its own approximations. Some documented limits:
- Standard DFT systematically underestimates semiconductor band gaps, and results depend on which exchange-correlation functional is chosen (see Borlido et al., 2019, a benchmark across several hundred solids).
- Classical and machine-learned force fields are fitted to reference data and lose accuracy outside the systems they were fitted on.
- Monte Carlo transport and ageing models take their rates from separate calculations or from measurement.
- No first-principles method yet predicts the transition temperature of the unconventional superconductors.
VMS branches share one foundation instead. Every branch draws on the same ordered steps, built on one geometry and one action scale. Each step is marked by what is published today.
| Step | What it covers | Status |
|---|
| 1 | The photon and one action scale | Everything is built from one object, the photon. Moving, it is light. Closed into a loop, it is matter, and the electron is the smallest stable loop. One action scale is set once at the electron and carried everywhere. | Published Mathematical Bridge; Calibration; mass as closed light (Visuals) |
| 2 | The strength of interaction | How strongly a closed loop and a passing photon act on each other, treated as a property of the loop's geometry. It sets the size of atoms and the strength of bonds. | Target |
| 3 | Exchange | One event: a photon leaves one closed structure and joins another, changing both. Absorption, emission, heat and what is called scattering are all this event. | Partly published Light pages; escape law |
| 4 | Atoms | The stable configurations of each element, and the photons each can take up or release. | Partly published Hydrogen anchor; Chemical Elements Table |
| 5 | Bonds and molecules | Closures shared between atoms. | Partly published Molecular Table |
| 6 | Solids | Repeating shared closures, their surfaces and defects, and the photons a solid takes up and passes on. | Partly published Lattice geometry in the Materials Table |
| 7 | Heat and transport | Photons held in and passed through a structure, and the movement of charge and matter that goes with them. | Partly published Thermodynamics pillar: route counting, continuum limits, transport kernels |
| 8 | Collective states | Configurations in which many closed loops act together: superconductivity, magnetism and phase change. | Target |
A result in one branch is therefore a result in every branch that uses the same step, and nothing is refit between disciplines. The branches closest to a direct test are the ones built on the published and partly published steps: Material Phase Geometry, Channel Stabilization, Spectral Convergence and Mass Channel Dynamics.
Terms such as field, vibration, band or free energy summarize measured behavior well. The measurements they summarize are what each derivation is checked against. They are not used as ingredients.
First deliverables
Three named first deliverables, each with acceptance criteria fixed in advance. Each protocol is posted to the public review log before work starts. Laboratories, students and independent researchers can take part through the Grants page or partnerships@vms-institute.org.
First deliverable 1
Materials hold-out comparison
Compute lattice constants with the published method and single calibration for a set of at least 20 compounds not used in calibration, spanning ionic, covalent and metallic bonding. The set is registered on the public review log before any calculation runs.
Acceptance. Pass if the median residual is no larger than that of the published table's rows, with no parameter changed. Every compound is reported, including failures.
First deliverable 2
Noble-gas transport calculation
Compute the viscosity and thermal conductivity of helium, neon and argon over a registered temperature range from the published transport kernels, and compare with NIST reference data.
Acceptance. The tolerance and temperature range are registered on the review log before the run. Pass if every point falls within that tolerance, with no fitted inputs.
First deliverable 3
Independent bench replication
Rebuild the published mass-channel bench from its build instructions, with camera exposure and gain locked and all raw frames archived.
Acceptance. Pass if the density ordering of central-lobe width and brightness is reproduced across the metals tested. Fail if the ordering is absent with gain locked. Either outcome is published.
Materials & Condensed Matter 5
How closed structures join into materials: stability, phase change, surfaces and defects, heat and charge together, and superconductivity.
Energy & Thermal Systems 4
Heat as photon exchange, transport in fluids, storage and conversion, and whole systems counted in one account.
Electronics & Information 2
How electrons move through devices, and the physical cost of handling information.
Imaging & Diagnostics 2
How a beam or a magnet turns structure into an image, across microscopy, X-ray and CT, MRI and medical imaging.
Particles & Charge 3
What charge, decay and the field around a charge are when a particle is a closed loop with one action scale.
Light & Optics 5
How light finds its way: scattering, diffraction, interference, spectra and the caustics where routes fold.
Cosmology (Exploratory) 6
Lensing, galaxy dynamics, expansion and large-scale structure. Exploratory work, labeled as such.
Foundations & Metrology 4
The shared geometry under every measurement: resonance, routes near mass, relativity, and the step from quantum to classical behavior.
Collaboration. Sponsors, laboratories and independent researchers may support or join individual branches through replication, independent testing, instrumentation and student projects. Proposals follow the process on the
Grants page. Inquiries: partnerships@vms-institute.org.
General reference definitions are the opening text of the cited Wikipedia articles, retrieved 29 September 2026, used under the Creative Commons Attribution-ShareAlike 4.0 License (CC BY-SA 4.0). Institutional definitions are quoted from the cited agency, laboratory and union sources.
Material Phase Geometry
Lattice tables publishedPillars: Thermodynamics, Mechanics
Current result
The published Materials, Elements (Z = 1 to 118) and Molecular tables compute structure from the single calibration and report the residual for every row: for example, lattice constants for NaCl within 0.35%, MgO within 0.66% and GaAs within 0.09%. Not yet done: bond strength, cohesion and stiffness, and a registered hold-out test.
First deliverable 1: Materials hold-out comparison. Compute lattice constants with the published method and single calibration for a set of at least 20 compounds not used in calibration, spanning ionic, covalent and metallic bonding. The set is registered on the public review log before any calculation runs. Acceptance. Pass if the median residual is no larger than that of the published table's rows, with no parameter changed. Every compound is reported, including failures.
The problem today
Material properties are computed mostly with density-functional theory. Its accuracy depends on an exchange-correlation approximation chosen for the job, not derived. It struggles with band gaps, strongly correlated materials, alloys and disorder. Most property tables are still measured rather than computed.
VMS approach
Every material is built from the same closed loops, joined into atoms, then bonds, then lattices. Structure and strength come from the same closure budgets, with one calibration carried across every material class. The published materials tables already compute lattice geometry this way, with residuals reported row by row.
Research program
- Complete the elements table: each element's stable configuration, the photon needed to free an electron, and the photons each atom absorbs and emits.
- Extend the molecular and materials tables from geometry to bond strength, the photons each bond absorbs and emits, cohesion and stiffness.
- Compare competing crystal structures of the same composition, and predict which is stable.
- Test against a registered hold-out set of materials not used in calibration.
What it could produce
A single, consistent property map from composition to structure to performance, with stated error bands. That would shorten discovery cycles that now rely on synthesis and measurement.
Core definition
General
Materials science is an interdisciplinary field concerned with understanding the relationships between the structure of materials and their properties and using this knowledge to design materials for specific applications.
Wikipedia, “Materials science”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Materials science and engineering explores the basic structure, properties and behavior of materials — down to the molecular, atomic and even subatomic levels — to create goods that benefit society.
U.S. National Science Foundation (NSF), “Materials Research”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Materials & Condensed Matter · All branches
Phase Boundary Dynamics
In developmentPillars: Thermodynamics, Particle Mechanics
Current result
The published Thermodynamics pillar derives entropy from route counting and recovers the ideal-gas law and the Clapeyron relation as limits. No melting point or latent heat has yet been computed for a specific material.
The problem today
Melting points, transition temperatures and latent heats are measured case by case. Prediction outside simple systems relies on fitted models, and critical behavior is described with fitted exponents.
VMS approach
A phase is one stable arrangement of shared closures. Which arrangement holds depends on the photons the structure is holding and exchanging with its surroundings. A transition happens where a different arrangement becomes the stable one, and latent heat is the photons taken up or released in the change. The published Thermodynamics pillar already reproduces the Clapeyron relation from route counting.
Research program
- Compute which arrangement is stable for reference solids and liquids as their photon exchange with surroundings rises.
- Derive melting, boiling and solid-solid transitions, and compare with measured values.
- Derive latent heats as the photons taken up or released between arrangements.
- Extend to behavior near critical points.
What it could produce
Phase diagrams from composition rather than experiment. Those govern heat treatment of metals, semiconductor processing, pharmaceutical stability and energy materials.
Core definition
General
In physics, chemistry and biology, a phase transition (or phase change) is the physical process of transition between one state of a medium and another.
Wikipedia, “Phase transition”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
A change in the nature of a phase or in the number of phases as a result of some variation in externally imposed conditions, such as temperature, pressure, activity of a component or a magnetic, electric or stress field.
International Union of Pure and Applied Chemistry (IUPAC), Compendium of Chemical Terminology, “phase transition (P04537)”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Materials & Condensed Matter · All branches
Materials Geometry & Fabrication
In developmentPillars: Thermodynamics, Particle Mechanics
Current result
The surface and defect budget forms are part of the published materials framework. No surface or defect values have yet been computed or compared with measurement.
The problem today
Surfaces, interfaces and defects control most real behavior: strength, corrosion, film quality and device yield. Their energies are usually fitted or simulated with simplified potentials, one material at a time.
VMS approach
A surface is a set of broken bond closures and a defect is a missing or displaced one, so both are costed from the same budgets as the bulk. The surface and defect budget forms are part of the published materials framework.
Research program
- Compute surface and interface energies for reference metals and semiconductors.
- Compute vacancy and substitution energies.
- Derive size effects in nanoparticles and thin films.
- Derive strain and stability limits for layered and epitaxial structures.
What it could produce
Fabrication settings chosen from computed surface and defect behavior rather than by trial, for chips, coatings, sensors and solar cells.
Core definition
General
Microfabrication is the process of fabricating miniature structures of micrometre scales and smaller.
Wikipedia, “Microfabrication”, retrieved 29 September 2026, CC BY-SA 4.0.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Materials & Condensed Matter · All branches
Thermo-Electric Coupling
In developmentPillars: Thermodynamics, Electromagnetism, Mechanics
Current result
The published Thermodynamics pillar states the reciprocity between heat flow and charge flow. No thermoelectric coefficient has yet been computed for a specific material.
The problem today
Good thermoelectric materials need high electrical conductivity and low thermal conductivity, which usually rise and fall together. Candidates are screened largely by measurement, with separate models for charge and heat.
VMS approach
Electrons moving through a lattice carry charge, and they exchange photons with the lattice as they go. Heat also passes through the lattice by photon exchange alone. One account covers both flows. The published Thermodynamics pillar already states the reciprocity between them.
Research program
- Compute how electrons move through a given structure, and the charge and heat they carry.
- Derive the thermoelectric coefficients and the link between heat and charge conduction in metals.
- Compute the heat passed through the lattice by photon exchange alone, separately from the heat that moves with the electrons.
- Rank known and candidate thermoelectric materials.
What it could produce
Faster identification of materials for waste-heat recovery, solid-state cooling and sensor power.
Core definition
General
The thermoelectric effect is the direct conversion of temperature differences to electric voltage and vice versa via a thermocouple.
Wikipedia, “Thermoelectric effect”, retrieved 29 September 2026, CC BY-SA 4.0.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Materials & Condensed Matter · All branches
Superconductivity
In developmentPillars: Thermodynamics, Particle Mechanics
Current result
The framework's flux quantum, h/q, gives the measured superconducting value h/2e for a paired closure. No transition temperature has yet been computed.
The problem today
Conventional superconductors can now be computed from first principles once the lattice is known, and some, such as hydrogen sulfide under pressure, were predicted before they were measured. No first-principles method predicts the transition temperature of the unconventional families (the cuprates and iron-based materials), and discovery there is still largely experimental.
VMS approach
The question is broken into four parts, each built on the shared foundation:
- how an electron loop moves through a lattice of closed structures;
- what exchanges with the lattice slow it, which is resistance;
- what paired closure lets electrons move without those exchanges;
- how much photon exchange, measured as temperature, the paired closure withstands before it breaks.
The measured flux quantum of superconductors, h/2e, already identifies the moving unit as a paired closure.
Research program
- Derive how electrons move through reference metals, and which routes the lattice allows.
- Derive resistance from the electron's exchange of photons with the lattice, and from defects. Reproduce measured resistivity versus temperature.
- Derive the paired closure, the photon needed to break it, and the temperature at which it breaks, without fitted inputs. Check against reference superconductors.
- Extend the materials tables with computed superconducting properties, and screen materials that meet the same condition at other temperatures.
What it could produce
A predictive map of superconducting materials. That would affect power transmission, magnets for medicine and fusion research, and computing.
Core definition
General
Superconductivity is a set of physical properties observed in superconductors: materials where electrical resistance is exactly zero and magnetic fields are expelled from the material.
Wikipedia, “Superconductivity”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Superconductivity is the property of certain materials to conduct direct current (DC) electricity without energy loss when they are cooled below a critical temperature (referred to as Tc).
U.S. Department of Energy, Office of Science, “DOE Explains...Superconductivity”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Materials & Condensed Matter · All branches
Thermal Circulation Geometry
In developmentPillars: Thermodynamics
Current result
The published Thermodynamics pillar derives Fourier heat conduction and fluid flow as smooth limits of route counting, with transport coefficients written in one kernel form. Radiation spectra and heat capacities for specific materials have not yet been computed.
The problem today
Heat in complex and nanostructured materials is modeled with separate tools for radiation, conduction and heat capacity. Those tools often rely on fitted scattering parameters or Monte Carlo transport. Thermal management now limits electronics, buildings and vehicles.
VMS approach
Heat is photons passing from one structure to another. At room temperature most of that light is measured in the infrared, about ten micrometres long, tens of thousands of atomic spacings, so each exchange reaches a very large number of atoms at once, shifting their stable configurations as it is absorbed, split, combined and re-emitted. Thermal radiation, the heat a solid stores and the rate heat flows through it are then one process seen three ways.
Research program
- Derive thermal radiation, and its total emitted power, from the same exchange.
- Derive how many photons a solid holds at each temperature, and check against measured heat capacity, including its fall at low temperature.
- Derive thermal conductivity from how far photons travel through a structure before it is absorbed and passed on.
- Extend to heat transfer across very small gaps, where it exceeds classical limits.
What it could produce
Thermal design from material structure, for electronics cooling, insulation and heat recovery.
Core definition
General
Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy (heat) between physical systems.
Wikipedia, “Heat transfer”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Energy transferred from a hotter to a cooler body due to a temperature gradient.
International Union of Pure and Applied Chemistry (IUPAC), Compendium of Chemical Terminology, “heat (H02752)”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Energy & Thermal Systems · All branches
Channel Stabilization
Foundation publishedPillars: Electromagnetism, Mechanics, Thermodynamics
Current result
The published Thermodynamics pillar writes every transport coefficient in one kernel form and recovers the Navier–Stokes equations as a limit. No viscosity or diffusion value has yet been computed for a specific gas.
First deliverable 2: Noble-gas transport calculation. Compute the viscosity and thermal conductivity of helium, neon and argon over a registered temperature range from the published transport kernels, and compare with NIST reference data. Acceptance. The tolerance and temperature range are registered on the review log before the run. Pass if every point falls within that tolerance, with no fitted inputs.
The problem today
Viscosity, diffusion and conductivity of fluids come from measurement or from fitted molecular potentials. Prediction for new fluids, and in nanoscale channels, is unreliable.
VMS approach
Two molecules act on each other through the same photon exchange that forms bonds, at longer range. A collision is one such exchange. The published transport kernels then give every transport coefficient from one account.
Research program
- Derive how molecules of reference gases act on each other.
- Derive collision rates.
- Compute viscosity, diffusion and conductivity, and compare with reference data.
- Map where standard transport laws fail at small scales.
What it could produce
Transport properties for new fluids and microfluidic designs without new measurement campaigns.
Core definition
General
In engineering, physics, and chemistry, the study of transport phenomena concerns the exchange of mass, energy, charge, momentum and angular momentum between observed and studied systems.
Wikipedia, “Transport phenomena”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
The Transport Phenomena (TP) program supports fundamental research to understand, model, and control the transport of mass, momentum, energy, and species across multiple scales.
U.S. National Science Foundation (NSF), Transport Phenomena Program, “Transport Phenomena”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Energy & Thermal Systems · All branches
Energy Storage & Conversion
In developmentPillars: Thermodynamics, Electromagnetism
Current result
No published result yet. Work is at the derivation stage.
The problem today
Battery voltage, capacity and ageing are found mostly by building and testing cells. Ageing models are empirical fits to cycling data.
VMS approach
A cell's voltage is the difference in how tightly the working ion's closures are held in its two hosts. Ageing is the slow formation of defects and side products, paced by the photon exchange that temperature measures. Both come from the same budgets used in the materials branches.
Research program
- Compute cell voltages for reference chemistries.
- Compute capacity and volume change as ions enter a host.
- Derive ageing rates and their temperature dependence, and compare with cycling data.
- Extend to thermal and hydrogen storage media.
What it could produce
Screening of electrode and electrolyte choices before cells are built, and ageing predicted from chemistry.
Core definition
General
Energy storage is the capture of energy produced at one time for use at a later time to reduce imbalances between energy demand and energy production.
Wikipedia, “Energy storage”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Energy storage systems capture energy from various sources and store it for later use.
U.S. Department of Energy, “Storage”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Energy & Thermal Systems · All branches
Energy Systems Integration
In developmentPillars: Thermodynamics, Electromagnetism, Mechanics
Current result
No published result yet. Work is at the derivation stage.
The problem today
Storage, conversion and thermal management are modeled with separate tools. Losses at the interfaces between those models are often dropped.
VMS approach
Every loss is photons leaving the useful path, counted in one account. That includes the cross-effects between heat, charge and chemistry that separate models leave out.
Research program
- Express each conversion stage's losses in one account.
- Quantify the cross-effects usually dropped.
- Benchmark on a published system dataset.
What it could produce
System-level efficiency gains that are hard to see when each stage is modeled separately.
Core definition
General
An energy system is a system primarily designed to supply energy-services to end-users.
Wikipedia, “Energy system”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Energy Systems Integration (ESI) is the process of coordinating the operation and planning of energy systems across multiple pathways and/or geographical scales to deliver reliable, cost-effective energy services with minimal impact on the environment.
National Renewable Energy Laboratory (NREL), U.S. Department of Energy, “Energy Systems Integration: Defining and Describing the Value Proposition”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Energy & Thermal Systems · All branches
Electronics & Charge Transport
In developmentPillars: Electromagnetism, Particle Mechanics, Mechanics
Current result
The published Electromagnetism pillar derives the Maxwell equations from two identities of transported display area. No band gap or mobility has yet been computed.
The problem today
Standard first-principles methods underestimate semiconductor band gaps, often substantially. The corrections are costly or fitted. Transport in devices a few nanometres across is modeled with semi-empirical and Monte Carlo methods.
VMS approach
An electron is a closed loop moving through a lattice of closed structures. Some routes through the lattice are allowed and some are turned back. The measured band gap is the photon needed to lift an electron across the forbidden range. Resistance comes from the electron's exchange of photons with the lattice, and from defects.
Research program
- Derive the measured band gaps of reference semiconductors without fitted corrections.
- Derive how readily electrons move through a structure, and check against measured mobility.
- Derive resistivity of metals versus temperature.
- Extend to conduction in very small structures.
What it could produce
Device materials and dimensions chosen from computed behavior at the scales where current models are least reliable.
Core definition
General
Electronics is a scientific and engineering discipline that studies and applies the principles of physics to design, create, and operate devices that manipulate electrons and other electrically charged particles.
Wikipedia, “Electronics”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Material that can act either as a conductor or an insulator of electricity, depending on small changes in voltage
National Institute of Standards and Technology (NIST), “Semiconductor Glossary: Semiconductor”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Electronics & Information · All branches
Information Flow Geometry
In developmentPillars: Foundation, Thermodynamics
Current result
The published Thermodynamics pillar derives entropy as a count of routes (S = k_B ln Ω). The cost of erasing information has not yet been derived from it.
The problem today
The energy cost of computing is now a limiting factor. The physical minimum cost of logic and memory sets how far it can fall.
VMS approach
Information and heat are both arrangements of the same structures, counted the same way. Erasing a bit means photons must leave the device, which sets a minimum cost. The cost of moving information follows from the same count.
Research program
- Derive the minimum cost of erasing information, as heat released, and compare with experiment.
- Derive the photons released by logic operations.
- Relate information capacity to the physical channel.
What it could produce
A physical basis for low-energy computing design.
Core definition
General
Information theory is the mathematical study of the quantification, storage, and communication of a particular type of mathematically defined information.
Wikipedia, “Information theory”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Quantum information science marries two of the 20th century's most important scientific developments: quantum physics and information theory.
National Institute of Standards and Technology (NIST), “Quantum information science”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Electronics & Information · All branches
Imaging Geometry
In developmentPillars: Mechanics, Electromagnetism, Particle Mechanics
Current result
The published Light pages derive the wave form from routes counted through caustics, the basis for image formation. No beam–sample interaction strength has yet been computed.
The problem today
- Every imaging method trades signal against dose. Too little and the image is noise; too much and the sample or patient is harmed.
- Separating useful signal from noise at low dose relies largely on statistical processing.
- The interactions of the imaging beam with the sample are modeled with tabulated cross sections and Monte Carlo simulation.
VMS approach
An imaging beam, whether electrons or X-ray photons, meets each atom of the sample in one of two ways:
- it is redirected, which carries structure;
- it leaves photons in the sample, which causes damage and noise.
Both outcomes are the same exchange event described in the foundation, so the balance between them can be derived rather than tabulated.
Research program
- Derive the two interaction outcomes and their ratio across elements.
- Derive how an imaging system transfers structure into contrast.
- Derive the limits on signal at a given dose.
- Apply this to electron microscopy, X-ray and CT, and medical imaging.
What it could produce
More structure recovered per unit dose, for structural biology, drug discovery and clinical imaging.
Core definition
General
Imaging is the process of creating visual representations of objects, scenes, or phenomena.
Wikipedia, “Imaging”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Medical imaging refers to several different technologies that are used to view the human body in order to diagnose, monitor, or treat medical conditions.
U.S. Food and Drug Administration (FDA), “Medical Imaging”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Imaging & Diagnostics · All branches
Magnetic Resonance Geometry
In developmentPillars: Electromagnetism, Particle Mechanics
Current result
Published: charge as the orientation of a closed loop, which is the basis for treating a magnetic moment the same way. No moment or relaxation time has yet been computed.
The problem today
MRI contrast depends on relaxation times, which are measured tissue by tissue and material by material. Nuclear magnetic properties are not predicted from structure in any simple way.
VMS approach
A magnetic moment is the orientation of a closed loop, in the electron or the nucleus. In a magnet that orientation turns steadily, and it takes up radio-frequency photons at that rate; this is the resonance. Relaxation is the orientation settling back as it exchanges photons with its surroundings.
Research program
- Derive electron and nuclear moments from loop orientation.
- Derive the resonance frequency in a magnet of given strength.
- Derive relaxation times from photon exchange with surroundings, and compare with NMR data.
- Extend to contrast in tissue and materials.
What it could produce
Contrast and relaxation predicted from composition, for MRI protocol design, NMR spectroscopy and magnetic sensing.
Core definition
General
In electromagnetism, the magnetic moment or magnetic dipole moment is a vector quantity which characterizes the strength and orientation of a magnet or other object or system that exerts a magnetic field.
Wikipedia, “Magnetic moment”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Magnetic Resonance Imaging (MRI) is a non-invasive imaging technology that produces three dimensional detailed anatomical images.
National Institutes of Health, National Institute of Biomedical Imaging and Bioengineering (NIBIB), “Magnetic Resonance Imaging (MRI)”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Imaging & Diagnostics · All branches
Charge Quantization
Foundation publishedPillars: Particle Mechanics, Electromagnetism
Current result
Published: charge is the orientation of a closed loop (±1, counted in whole turns), and the Maxwell equations follow from two identities. The strength of electric interaction has not yet been derived.
The problem today
The Standard Model takes the elementary charge and the strength of electric interaction as measured inputs. It does not explain why charge comes in fixed units or why its strength has the value it does.
VMS approach
Charge is the orientation of a closed loop, counted in whole turns. The strength of electric interaction is treated as a geometric property of the loop itself.
Research program
- Derive the unit of charge and its conservation from loop orientation. This is published.
- Derive fractional charges from route classes, and compare with all measured hadrons.
- Derive the strength of electric interaction from loop geometry.
- Confirm the atomic scales that follow from it.
What it could produce
A value that physics now measures, turned into one it can calculate, with every atomic and chemical scale tied to it.
Core definition
General
The elementary charge, usually denoted by e, is the magnitude of the charge on an electron and a fundamental physical constant defined to be exactly e = 1.602176634×10−19 C.
Wikipedia, “Elementary charge”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Starting on May 20, 2019, the ampere is based on a fundamental physical constant: the elementary charge (e), which is the amount of electric charge in a single electron (negative) or proton (positive).
National Institute of Standards and Technology (NIST), “Ampere: Introduction”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Particles & Charge · All branches
Decay Pathways
In developmentPillars: Particle Mechanics
Current result
Published: an escape law that orders lifetimes by action gap, with the muon lifetime as the declared time anchor. The prefactor of the law is still open, and no other lifetime has yet been computed from it.
The problem today
Particle lifetimes follow from measured couplings and masses. The range of lifetimes across particles is an input, not an output.
VMS approach
Decay is a closed loop escaping its closure across an action gap. The published pillar orders lifetimes by that gap, with the muon as the declared time anchor. The shape of a loop's closure determines whether it can leak at all.
Research program
- Derive which closure shapes are stable and which can leak.
- Derive action gaps for unstable particles, and compare with measured lifetimes.
- Derive branching between decay channels.
- Apply the same escape law to nuclear decay and tunneling.
What it could produce
One law for decay, tunneling and nuclear transitions, relevant to radiation safety, medical isotopes and reactor physics.
Core definition
General
In particle physics, particle decay is the spontaneous process of one unstable subatomic particle transforming into multiple other particles.
Wikipedia, “Particle decay”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
The spontaneous transformation of one radionuclide into one or more decay products (also known as "daughters").
U.S. Nuclear Regulatory Commission (NRC), “Glossary: Radioactive decay”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Particles & Charge · All branches
Field Channeling
Foundation publishedPillars: Electromagnetism
Current result
Published: the Maxwell equations follow from transported display area, with electric and magnetic quantities named only at the end, and the content close to a loop is finite. Polarizabilities have not yet been computed.
The problem today
Classical and quantum electrodynamics take fields as basic. The point charge of classical theory carries an infinite self-energy, which has to be removed by renormalization.
VMS approach
Fields are not basic in VMS. The Maxwell equations follow from transported display area; "field" names that measured effect, not an ingredient. Close to a loop the content is finite by construction.
Research program
- Complete the derivation close to a charged loop.
- Derive the photons released by an accelerated loop.
- Derive how atoms respond to an applied voltage, and compare with measured polarizabilities.
What it could produce
An account of charge and field without infinities, and material response computed from atomic structure.
Core definition
General
An electromagnetic field (also EM field) is a physical field, varying in space and time, that represents the electric and magnetic influences generated by and acting upon electric charges.
Wikipedia, “Electromagnetic field”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Electromagnetic energy, produced by the vibration of charged particles, travels in the form of waves through the atmosphere and the vacuum of space.
National Aeronautics and Space Administration (NASA), Earth Science Data Systems, “The Electromagnetic Spectrum”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Particles & Charge · All branches
Coherent Scattering Modes
In developmentPillars: Electromagnetism
Current result
Published: the wave form and the relation λ = S₀/A_d (wavelength as display area, inverted) from routes through caustics. No scattering strength has yet been computed.
The problem today
Light scattering is well described, but its strength enters as an input: the scattering size of the electron is taken from measurement.
VMS approach
What is called scattering is a photon joining a closed loop and leaving again in a new direction, the same exchange as absorption and emission. Its strength follows from the size of the electron loop and the strength of interaction.
Research program
- Derive how free electrons redirect photons at low and high energy.
- Derive the same for atoms and molecules.
- Derive diffraction by ordered structures.
What it could produce
Scattering strengths computed rather than measured. Scattering underpins radar, lidar, atmospheric sensing and materials analysis.
Core definition
General
In physics, scattering is a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deflect from a straight trajectory or are blocked by localized non-uniformities (including particles, matter, interfaces, and radiation) in the propagation medium through which they pass.
Wikipedia, “Scattering”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Scattering occurs when light bounces off an object in a variety of directions.
National Aeronautics and Space Administration (NASA), “Wave Behaviors”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Light & Optics · All branches
Diffraction Dynamics
Foundation and experiment publishedPillars: Electromagnetism, Mechanics
Current result
Published: diffraction patterns from routes through an edge's caustic, and the mass-channel bench (see Mass Channel Dynamics). The edge-material term has not yet been sized.
The problem today
Standard diffraction depends only on geometry and optical constants. It has no term for the density of the material forming an aperture.
VMS approach
Diffraction patterns are derived from routes through an edge's caustic. The route weights can include the material that forms the edge.
Research program
- Derive the standard aperture patterns.
- Derive the edge-material term, and map it against the published mass-channel bench.
What it could produce
A new, testable dependence in one of the most basic optical measurements.
Core definition
General
Diffraction is the deviation of waves from straight-line propagation due to an obstacle or through an aperture, without any change in their energy.
Wikipedia, “Diffraction”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Diffraction is the bending and spreading of waves around an obstacle.
National Aeronautics and Space Administration (NASA), “Wave Behaviors”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Light & Optics · All branches
Photonic Interference Networks
In developmentPillars: Electromagnetism
Current result
Published: interference laws with small mass-coupled terms, and committed nulls, including no non-reciprocity beyond the Sagnac effect. Those terms have not yet been bounded against existing interferometer data.
The problem today
Interferometers set length, time and gravitational-wave standards. Any unmodeled mass-related phase would show up there first.
VMS approach
Interference is the sum of routes with their display action. The published laws include small mass-coupled terms that can be bounded or detected.
Research program
- Derive standard interferometer responses.
- Bound the mass-coupled terms using existing data.
- Run targeted bench tests.
What it could produce
Either a new effect in precision measurement or tighter limits on one.
Core definition
General
Interferometry is a technique which uses the interference of superimposed waves to extract information.
Wikipedia, “Interferometry”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Interferometers are investigative tools used in many fields of science and engineering.
LIGO Laboratory, California Institute of Technology (U.S. National Science Foundation), “What is an Interferometer?”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Light & Optics · All branches
Spectral Convergence
In developmentPillars: Electromagnetism, Thermodynamics
Current result
Published: hydrogen as the declared calibration anchor. Levels beyond hydrogen, line strengths and widths have not yet been computed.
The problem today
Atomic spectra beyond hydrogen are computed with large numerical models. Line strengths and widths are often measured rather than predicted.
VMS approach
Spectral lines come from closure, with hydrogen as the declared anchor. Line strengths and widths come from the same exchange event.
Research program
- Extend levels beyond hydrogen.
- Derive line strengths and lifetimes.
- Compare line by line with reference data.
What it could produce
Spectra computed across the elements, for astrophysics, environmental monitoring and time standards.
Core definition
General
Quantum optics is a branch of atomic, molecular, and optical physics and quantum chemistry that studies the behavior of photons (individual quanta of light).
Wikipedia, “Quantum optics”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
The study of spectral lines from different atoms and molecules. Spectroscopy is an important part of studying the chemistry that goes on in stars and in interstellar clouds.
NASA Goddard Space Flight Center, “Imagine the Universe! Dictionary: Spectroscopy”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Light & Optics · All branches
Optical Caustics
Foundation publishedPillars: Electromagnetism
Current result
Published: the Treatise on Caustics, including the split and merge factors 2^(1/3) and 2^(−1/3), and a caustic-spacing falsifier. The falsifier has not yet been tested across wavelengths.
The problem today
Catastrophe optics is rigorous but specialized, and it is rarely connected to the structure of matter.
VMS approach
Caustics are central to VMS. Where routes fold, options open, and the type of fold decides whether a closed structure is stable.
Research program
- Connect caustic types to closure and stability.
- Test the published caustic-spacing falsifier across wavelengths.
What it could produce
Catastrophe mathematics applied to optics, acoustics and imaging, and to the stability of matter itself.
Core definition
General
In optics, a caustic or caustic network is the envelope of light rays which have been reflected or refracted by a curved surface or object, or the projection of that envelope of rays on another surface.
Wikipedia, “Caustic (optics)”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
A caustic surface or "burning curve" in geometric optics is a boundary separating accessible and inaccessible regions for a given family of light rays.
NASA Jet Propulsion Laboratory, DESCANSO Monograph Series, “Appendix B: Caustic Surfaces”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Light & Optics · All branches
Geometric Lensing
ExploratoryPillars: Mechanics, Electromagnetism
Current result
Published: light bending near mass reproduced from route cost, with the four weak-field tests of general relativity matched using one declared constant. Strong lenses and time delays have not yet been computed.
Research program
- Reproduce strong-lens image positions and time delays.
- Compare lens masses with the dynamical masses of the same systems.
Core definition
General
A gravitational lens is matter, such as a cluster of galaxies or a point particle, in sufficient quantity and density to bend light noticeably from a distant source as it travels toward an observer.
Wikipedia, “Gravitational lens”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Gravitational lensing occurs when a massive object — such as a galaxy cluster — warps space and time causing light to bend, distort, and magnify as it passes around the massive object.
National Aeronautics and Space Administration (NASA), Hubble Space Telescope, “Hubble Gravitational Lenses”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Cosmology (Exploratory) · All branches
Dark Matter as Geometric Residue
Exploratory analysis publishedPillars: Mechanics, Electromagnetism
Current result
The published exploratory analysis models the extra mass in galaxies as a residue of expansion geometry with a density that falls as 1/r² at large radius. That gives flat outer rotation curves, which it fits to SPARC galaxy data with two parameters per galaxy. It also gives lensing independent of color, and lensing mass that separates from gas in cluster collisions. Unresolved: the analysis does not yet derive the observed mass-to-rotation (Tully–Fisher) scaling, or how the two parameters follow from a galaxy's visible mass. It is exploratory and not evidence either way.
Research program
- Derive the mass-to-rotation scaling.
- Refit with hold-out galaxies.
- Test the cluster and void predictions.
Core definition
General
The rotation curve of a disc galaxy (also called a velocity curve) is a plot of the orbital speeds of visible stars or gas in that galaxy versus their radial distance from that galaxy's centre.
Wikipedia, “Galaxy rotation curve”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Stars toward the edge of the galaxy move too fast to be held in by the galaxy's luminous matter – there must be much more matter than we can see in these galaxies to hold the stars in orbit.
National Aeronautics and Space Administration (NASA), Nancy Grace Roman Space Telescope, “Dark Matter”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Cosmology (Exploratory) · All branches
Achromatic Gravitational Lensing
ExploratoryPillars: Mechanics, Electromagnetism
Current result
Published: a committed null, no color dependence of bending in the bridge limit. It has not yet been bounded with survey data.
Research program
- Bound any color dependence of bending with multi-band survey data.
- Compare with the committed null in the published bridge limit.
Core definition
General
In astronomy, weak gravitational lensing is a technique to map the mass distribution of astronomical objects.
Wikipedia, “Weak gravitational lensing”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Weak lensing also reveals how the stretching of space-time influences the paths that light travels.
National Aeronautics and Space Administration (NASA), Nancy Grace Roman Space Telescope, “Weak Lensing”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Cosmology (Exploratory) · All branches
Expansion Geometry
ExploratoryPillars: Foundation
Current result
Expansion is a founding axiom of the published framework. Its role in how closed structures form has not yet been derived.
Research program
- Derive the role of expansion in how closed structures form.
- Compare with the measured expansion history.
Core definition
General
The expansion of the universe is the increase in distance between gravitationally unbound parts of the observable universe with time.
Wikipedia, “Expansion of the universe”, retrieved 29 September 2026, CC BY-SA 4.0.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Cosmology (Exploratory) · All branches
Structure Formation
ExploratoryPillars: Mechanics, Electromagnetism
Current result
No published result yet. Work is at the derivation stage.
Research program
- Derive how prior gradients seed persistent structure.
- Compare the growth of structure with survey statistics.
Core definition
General
In physical cosmology, structure formation describes the creation of galaxies, galaxy clusters, and larger structures via gravitational and hydrodynamic processes operating on cosmological inhomogeneities.
Wikipedia, “Structure formation”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Galaxies, galaxy groups and clusters, superclusters, and galactic walls are arranged in twisting, threadlike structures called the cosmic web.
National Aeronautics and Space Administration (NASA), “Large Scale Structures”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Cosmology (Exploratory) · All branches
Cosmic Background
ExploratoryPillars: Electromagnetism, Thermodynamics
Current result
No published result yet. Work is at the derivation stage.
Research program
- Derive the background spectrum from the same derivation as thermal radiation.
- Test how its temperature changes with distance.
Core definition
General
The cosmic microwave background (CMB, CMBR), or relic radiation, is microwave radiation that fills all space in the observable universe.
Wikipedia, “Cosmic microwave background”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
COBE was a mission that measured and mapped the cosmic microwave background radiation (CMB) left over from the big bang, which is the oldest light in the universe.
National Aeronautics and Space Administration (NASA), “COBE (Cosmic Background Explorer)”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Cosmology (Exploratory) · All branches
Resonant Closure
Foundation publishedPillars: Mechanics, Electromagnetism
Current result
Published: closure as a whole-number winding condition, carried by one action scale. No cavity or clock frequency has yet been computed.
The problem today
The best clocks rely on atomic transitions whose values are measured, not computed, to the accuracy clocks need.
VMS approach
A resonance is a closure condition, and its width is the rate of exchange with surroundings.
Research program
- Derive cavity and mechanical resonances.
- Derive the atomic clock transitions.
- Bound mass effects on resonant cavities.
What it could produce
Clock and sensor standards traced to geometry.
Core definition
General
Resonance is a phenomenon that occurs when an object or system is subjected to an external force or vibration whose frequency matches a resonant frequency (or resonance frequency) of the system, defined as a frequency that generates a maximum amplitude response in the system.
Wikipedia, “Resonance”, retrieved 29 September 2026, CC BY-SA 4.0.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Foundations & Metrology · All branches
Mass Channel Dynamics
Experiment publishedPillars: Mechanics, Electromagnetism
Current result
Published: a bench experiment with report, lab notes and videos. Behind a fixed slit, a 1 to 2 mm channel formed by metal cubes gives a narrower, brighter central lobe ordered by the metal's density, with identical coatings and the known confounds (wall reflection, heating, vibration, air) addressed. No independent replication yet; that is First deliverable 3.
First deliverable 3: Independent bench replication. Rebuild the published mass-channel bench from its build instructions, with camera exposure and gain locked and all raw frames archived. Acceptance. Pass if the density ordering of central-lobe width and brightness is reproduced across the metals tested. Fail if the ordering is absent with gain locked. Either outcome is published.
The problem today
No standard theory predicts a density dependence of diffraction at millimetre range. The published bench reports one. It has not yet been independently replicated.
VMS approach
Mass is missing space, and routes near it are reshaped at short range.
Research program
- Model the bench geometry.
- Replicate on the published hardening path.
- Map the effect by density, distance and wavelength.
- Connect it to the weak-gravity limit.
What it could produce
A new tabletop handle on gravity-scale physics.
Core definition
General
In geometry, a geodesic is a curve representing in some sense the locally shortest path (arc) between two points in a surface, or more generally in a Riemannian manifold.
Wikipedia, “Geodesic”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
When light passes close to a massive object, space-time is so warped that it curves the path the light must follow.
National Aeronautics and Space Administration (NASA), “How Gravity Warps Light”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Foundations & Metrology · All branches
Relativistic Energy Exchange
Foundation publishedPillars: Mechanics, Electromagnetism, Thermodynamics
Current result
Published: the four weak-field tests of general relativity reproduced from route cost with one declared constant, and curvature near a loop that rises above general relativity and then stops at the interaction zone, with no point singularity. The gravitational strength has not yet been derived.
The problem today
The gravitational constant is the least precisely known fundamental constant, and no theory explains its value.
VMS approach
The weak-field tests of general relativity are reproduced from route cost. The gravitational strength is treated as a property of the same loop geometry that sets electric strength.
Research program
- Derive the gravitational strength from loop geometry.
- Derive departures from general relativity near compact mass.
- Express gravitational redshift and delay in terms of the photon's route.
What it could produce
Gravity's strength calculated rather than measured, and new tests near compact objects.
Core definition
General
General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in May 1916 and is the accepted description of the gravitation of macroscopic objects in modern physics.
Wikipedia, “General relativity”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
The geometric theory of gravitation developed by Albert Einstein, incorporating and extending the theory of special relativity to accelerated frames of reference and introducing the principle that gravitational and inertial forces are equivalent.
NASA Goddard Space Flight Center, “Imagine the Universe! Dictionary: General Relativity”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Foundations & Metrology · All branches
Quantum-to-Macro Transition
In developmentPillars: Particle Mechanics, Thermodynamics, Mechanics
Current result
No published result yet. Work is at the derivation stage.
The problem today
Why large objects do not show interference is explained by decoherence, but the size at which it happens is estimated case by case.
VMS approach
Interference needs route phases to stay aligned. Each photon exchanged with the environment shifts them, so the loss of interference is set by the exchange rate.
Research program
- Derive the loss of interference from the exchange rate.
- Compare with molecular interference experiments.
- Predict the size and temperature limits.
What it could produce
Design limits for quantum devices and sensors.
Core definition
General
Quantum decoherence is the loss of quantum coherence. It involves generally a loss of information of a system to its environment.
Wikipedia, “Quantum decoherence”, retrieved 29 September 2026, CC BY-SA 4.0.Institutional
Coherence is a measure of how well certain systems will maintain their relationships with each other and how well we are able to predict the evolution of those systems.
Argonne National Laboratory, U.S. Department of Energy, “What is quantum coherence?”.Published foundation
Collaboration
Sponsored replication, independent testing and student projects in this area are welcome. See Grants or contact partnerships@vms-institute.org.
← Foundations & Metrology · All branches