Knowledge Library
Scientific Laws, Theories, Models, and Assumptions
Every claim on Evidence Pros depends on some combination of observations, measurements, laws, theories, models, equations, and assumptions. The categories are not interchangeable, and none of them counts as evidence on its own. Use this library to see what each category can and cannot establish — and to trace which assumptions any given argument inherits.
Theories and models
A theory or model is a framework that generates predictions. Its inclusion here does not endorse it. Each record states what the theory claims, its documented origin, foundational assumptions, mathematics, successful predictions, failed or disputed predictions, and what would falsify it. If a model has not published a quantitative prediction on a given question, we mark that plainly.
Globe-Earth Model
Well supportedClaim: Earth is an oblate spheroid ~12,742 km in mean diameter, rotating on its axis and orbiting the sun.
Origin: Ancient Greek astronomers (Eratosthenes ~240 BCE); consolidated through Copernicus, Kepler, Newton.
Foundational assumptions
- Uniform gravitation with G measurable
- Heliocentric orbital geometry
- Standard atmospheric refraction profile
- Photographic and satellite imagery is admissible evidence when provenance is verified
Physical mechanisms
- Gravity as mass attraction
- Axial rotation producing Coriolis
- Orbital motion producing seasons
Mathematical framework
Newtonian gravity + general relativity; spherical/oblate-spheroid geodesy; Keplerian orbits.
Predictions
- Horizon drop ≈ d²/(2R) minus refraction lift
- Foucault precession 24 h / sin(lat)
- Ring-laser gyroscope reads ~15°/h · sin(lat)
- Southern-hemisphere great-circle flights shorter than any equator-crossing route
Successful predictions
- Spacecraft trajectories to outer planets
- GPS timing corrections including relativistic effects
- Foucault-pendulum precession across latitudes
- Verified southern-route flight distances
Failed or disputed predictions
- Historical difficulties with anomalous refraction on long over-water sightings
- Regional tide amplitudes require basin-specific corrections beyond simple tidal force
Supporting experiments
- Cavendish balance
- Foucault pendulum
- Ring-laser gyroscopes
- Satellite laser ranging
Contradictory evidence
- Individual anomalous long-distance sightings; typically reconcilable via refraction, but not always
Known limitations
- Gravity's physical origin remains debated at fundamental scales
- Dark matter/energy indicate the framework is incomplete cosmologically
Would be falsified by
- Reproducible zero-Earth-rate ring-laser gyroscope readings at multiple latitudes
- Reproducible zero Foucault precession under controlled conditions
- Reproducible line-of-sight measurements over 100+ km showing no horizon drop under still-air, calibrated-refraction conditions
Where competing models agree
Local mechanics, buoyancy, gas laws, hydrostatics, and reflection agree in both models.
Flat / Enclosed-Earth Models
ContestedClaim: Earth is a stationary plane (often modeled as an azimuthal equidistant projection) with a defined vertical structure and, in some variants, a firmament dome.
Origin: Ancient near-eastern and Vedic cosmologies; revived in modern form via Rowbotham (1865), Voliva, and 20th–21st century movements.
Foundational assumptions
- No axial rotation (in most variants)
- Sun and moon are local, relatively small, and orbit above the plane
- Alternative downward-force mechanism (density-and-buoyancy, aether pressure, or unspecified)
- Long-range visibility limited primarily by perspective, refraction, and angular resolution
Physical mechanisms
- Density and buoyancy as downward cause (common variant)
- Local sun/moon paths above the plane
Mathematical framework
Azimuthal projection geometry for maps; no comprehensive equations of motion published in most variants.
Predictions
- Zero Coriolis effect from Earth rotation
- Zero Foucault-pendulum precession from Earth rotation
- Ring-laser gyroscope reads zero Earth rate
- Southern-hemisphere air routes should be longer than the equidistant projection implies
Successful predictions
- Local mechanics, buoyancy, gas laws, hydrostatics are compatible
Failed or disputed predictions
- Southern-hemisphere flight-time measurements (SYD-SCL, JNB-PER, AKL-EZE) match globe distances, not azimuthal-projection distances
- Foucault pendulums and ring-laser gyroscopes measure nonzero rotation matching sin(lat) as predicted by the globe model
- No quantitative published prediction for tide amplitudes, stellar parallax, or GPS timing has matched observation as precisely
Supporting experiments
- Local Bedford Level canal sightings (Rowbotham) — later contested by Wallace's calibrated repetition
Contradictory evidence
- Cross-hemispheric verified flight distances
- Ring-laser and Foucault measurements of Earth rate
- Stellar parallax measurements
Known limitations
- Most variants have no documented quantitative model for gravity, orbital mechanics, tides, or eclipse geometry.
- Discriminating measurements against this model require the model to publish a specific number; many do not.
Would be falsified by
- Any preregistered measurement showing latitude-dependent Coriolis or Foucault effects in agreement with globe prediction
- Verified great-circle flight distances in the southern hemisphere
Where competing models agree
Local mechanics agrees with the globe model; disagreement is global-scale geometry, celestial motion, and downward-force mechanism.
Heliocentric Model
Well supportedClaim: The sun sits near the barycenter of the solar system; planets, including Earth, orbit it.
Origin: Aristarchus (~270 BCE); revived by Copernicus (1543), completed by Kepler and Newton.
Foundational assumptions
- Newtonian/GR gravity
- Barycentric orbits are ellipses
Physical mechanisms
- Mass attraction between sun and planets
Mathematical framework
Keplerian orbital mechanics with Newtonian gravity.
Predictions
- Stellar parallax
- Retrograde motion pattern
- Aberration of starlight
Successful predictions
- Bradley's stellar aberration (1729)
- Bessel's measured parallax (1838)
- Retrograde motion of outer planets
Supporting experiments
- Stellar-parallax measurements from ground and Gaia satellite
Known limitations
- Requires functioning telescopic parallax measurements; historically hard for pre-1830s instruments.
Would be falsified by
- Failure to observe stellar parallax with instruments capable of detecting it under the model's predicted magnitude.
Where competing models agree
Geocentric Tychonic models can reproduce many local observations but not aberration or parallax.
Geocentric Models (Ptolemaic and Tychonic)
ContestedClaim: Earth is stationary at the center; sun, planets, and stars orbit around it (Ptolemaic) or around the sun which orbits Earth (Tychonic).
Origin: Ptolemy's Almagest (~150 CE); Tycho Brahe (1588).
Foundational assumptions
- Earth stationary
- Circular epicycles (Ptolemaic) or hybrid geometry (Tychonic)
Physical mechanisms
- Various; typically unspecified in modern revivals
Mathematical framework
Ptolemaic epicycles; Tychonic geometry reproduces Copernican appearances mathematically but not physically.
Predictions
- No stellar parallax if Earth is stationary (Ptolemaic strict form)
- Aberration of starlight not predicted
Successful predictions
- Local celestial appearances match to naked-eye precision
Failed or disputed predictions
- Stellar parallax measured after 1838 contradicts strict Ptolemaic geocentrism
Contradictory evidence
- Aberration of starlight; measured stellar parallax
Known limitations
- Tychonic geometry is empirically indistinguishable from Copernican for many measurements but adds complexity without predictive gain.
Would be falsified by
- Measured stellar aberration; measured parallax
Where competing models agree
Reproduces local sky motion.
General Relativity
Well supportedClaim: Gravity is the curvature of spacetime by mass–energy.
Origin: Einstein (1915).
Foundational assumptions
- Equivalence principle
- Local Lorentz invariance
Physical mechanisms
- Spacetime curvature from stress-energy
Mathematical framework
Einstein field equations G_μν = 8πG/c⁴ · T_μν.
Predictions
- Perihelion precession of Mercury
- Gravitational light deflection
- Gravitational time dilation (GPS)
- Gravitational waves
Successful predictions
- Mercury perihelion (43 arcsec/century)
- Eddington 1919 solar-eclipse light deflection
- GPS satellite clock corrections
- LIGO gravitational-wave detection (2015)
Failed or disputed predictions
- Galaxy rotation curves without dark matter
Supporting experiments
- Pound-Rebka gravitational redshift (1959)
- Gravity Probe B (2011)
Known limitations
- Not unified with quantum mechanics; requires dark matter/energy for cosmological fit.
Would be falsified by
- Deviations from predicted geodesics in tested regimes
Where competing models agree
Newtonian gravity agrees in weak-field limit.
Special Relativity
Well supportedClaim: The laws of physics are the same in all inertial frames; c is invariant.
Origin: Einstein (1905).
Foundational assumptions
- Principle of relativity
- Invariance of c
Physical mechanisms
- Time dilation and length contraction as frame-dependent effects
Mathematical framework
Lorentz transformations.
Predictions
- Time dilation of moving clocks
- E = mc²
Successful predictions
- Muon time-dilation measurements
- Particle-accelerator kinematics
Supporting experiments
- Hafele–Keating atomic clocks (1971)
Known limitations
- Does not include gravity; extended by GR.
Would be falsified by
- Frame-dependent c or violation of Lorentz invariance
Where competing models agree
Newtonian kinematics agrees at low velocity.
Newtonian Gravity
Supported with open questionsClaim: Masses attract with F = G m₁ m₂ / r².
Origin: Newton (1687).
Foundational assumptions
- Absolute space and time
- Instantaneous action at a distance
Physical mechanisms
- Mass-based attractive force
Mathematical framework
Inverse-square force law.
Predictions
- Planetary orbits
- Falling-body acceleration
Successful predictions
- Solar-system ephemerides to arcsecond precision
- Neptune's location from Uranus perturbations (1846)
Failed or disputed predictions
- Mercury perihelion precession (43 arcsec/century) — corrected by GR
Supporting experiments
- Cavendish torsion balance
Contradictory evidence
- Mercury perihelion; gravitational lensing
Known limitations
- Fails in strong-field and relativistic regimes.
Would be falsified by
- Precise deviations from inverse-square in tested regimes
Where competing models agree
Weak-field limit of GR.
Density-and-Buoyancy Explanation of Fall
Informally statedClaim: Objects denser than the surrounding medium fall; buoyancy explains rise. No mass-attractive gravity is required.
Origin: Ancient; revived in modern flat-Earth literature.
Foundational assumptions
- A downward field g exists whose origin is not specified
- Density difference in a fluid explains rise/fall in a field
Physical mechanisms
- Density differences within a fluid in a downward field
Mathematical framework
Archimedes' principle F_b = ρ V g; no independent quantitative gravitational law.
Predictions
- Denser-than-air objects fall in air; less dense rise
Successful predictions
- Everyday buoyancy experiments
Failed or disputed predictions
- Predicts nothing about orbits, tides, or Cavendish-scale mass attraction; assumes g without deriving it
Supporting experiments
- Standard buoyancy demonstrations
Contradictory evidence
- Cavendish-type experiments if independently replicated at claimed precision
Known limitations
- Requires a separate account of what produces the downward field g and why it varies with altitude and latitude
Would be falsified by
- A Cavendish-style measurement of attraction between laboratory masses, independently replicated at multiple sites
Where competing models agree
Both models use Archimedes' principle within a downward field; they disagree on the field's origin.
Plate Tectonics
Well supportedClaim: Earth's lithosphere is divided into plates that move over the asthenosphere.
Origin: Wegener (1912) continental drift; consolidated 1960s with seafloor spreading data.
Foundational assumptions
- Convecting mantle
- Rigid lithospheric plates
Physical mechanisms
- Mantle convection, ridge push, slab pull
Mathematical framework
Kinematic plate motion vectors; elastic-plastic rheology.
Predictions
- Symmetric magnetic-stripe patterns at spreading ridges
- Earthquake distribution along plate boundaries
Successful predictions
- Magnetic-anomaly stripes in Atlantic and Pacific crust
- Wadati–Benioff zones
Failed or disputed predictions
- Details of intraplate volcanism (hotspot origin)
Supporting experiments
- GPS measurement of continental drift
Known limitations
- Mantle convection dynamics not fully resolved
Would be falsified by
- Absent measurable plate motion; asymmetric magnetic stripes
Where competing models agree
Expanding-Earth models can reproduce some patterns but fail on subduction evidence.
Atmospheric Pressure Model
Well supportedClaim: Atmospheric pressure decreases with altitude following P(h) ≈ P₀ · exp(-h/H) for a well-mixed isothermal atmosphere.
Origin: Torricelli (1643), Pascal (1648).
Foundational assumptions
- Gravitational field pulling gas downward
- Thermodynamic equilibrium
Physical mechanisms
- Gas weight in a gravitational (or downward) field
Mathematical framework
Barometric formula; more accurate ISA (International Standard Atmosphere) for aviation.
Predictions
- Pressure of ~101 kPa at sea level, ~26 kPa at 10 km altitude
Successful predictions
- Aviation altimetry
Supporting experiments
- Puy de Dôme barometer test (1648)
Known limitations
- Assumes a downward field g and boundary conditions
Would be falsified by
- Pressure profile inconsistent with barometric formula
Where competing models agree
Applied in both models; disagreement is about the boundary above (open vs. enclosed).
Atmospheric Refraction Model (surveyor k ≈ 0.13)
Supported with open questionsClaim: Terrestrial line-of-sight bends downward by an amount modeled with refraction coefficient k, standardly ~0.13.
Origin: Bouguer (1729); modern surveying practice.
Foundational assumptions
- Standard atmospheric temperature/density profile
Physical mechanisms
- Gradient index of refraction with altitude
Mathematical framework
Δh_apparent ≈ (1 - k) · d² / (2R)
Predictions
- Apparent horizon slightly farther than geometric horizon
Successful predictions
- Geodetic survey corrections
Failed or disputed predictions
- Anomalous mirage/looming events require non-standard k
Supporting experiments
- Surveying triangulations
Known limitations
- k varies day-to-day; using a fixed value can produce large errors
Would be falsified by
- Independent atmospheric temperature-profile measurement showing k inconsistent with observed lift
Where competing models agree
Both models invoke refraction; the argument is about how much and when.
Celestial-Sphere Model
Well supportedClaim: A geometric abstraction placing stars on a unit sphere for angular calculation.
Origin: Ancient Greek astronomy.
Foundational assumptions
- Angular positions only; no distance information
Physical mechanisms
- None; a computational convenience
Mathematical framework
Spherical astronomy; RA/Dec coordinates.
Predictions
- Angular positions of stars over time
Successful predictions
- Ephemerides and star charts
Known limitations
- Not a physical claim about star distances
Would be falsified by
- N/A — computational abstraction
Where competing models agree
Used by both models for angular tracking.
Solar and Lunar Motion Models
Well supportedClaim: Sun and moon follow predictable paths described by ephemerides.
Origin: Classical astronomy.
Foundational assumptions
- Adopted heliocentric or geocentric frame
Physical mechanisms
- Newtonian/GR gravitation in the globe model; unspecified in most flat variants
Mathematical framework
Analytic ephemerides (VSOP87, ELP-2000).
Predictions
- Eclipse times and paths
- Moon phases
Successful predictions
- Eclipse predictions correct to seconds
Supporting experiments
- Historical eclipse records match retrocalculated ephemerides
Would be falsified by
- Failed eclipse prediction
Where competing models agree
Both models must reproduce eclipse geometry; only ephemeris-based physical models have done so to arcsecond precision.
Eclipse Geometry
Well supportedClaim: Solar eclipses occur when the moon occults the sun; lunar eclipses when Earth's shadow falls on the moon.
Origin: Anaxagoras (~450 BCE); refined by Ptolemy and later.
Foundational assumptions
- Line-of-sight geometry
- Sun–Earth–Moon distances
Physical mechanisms
- Occultation by a physical body
Mathematical framework
Three-body geometry using ephemeris positions.
Predictions
- Umbra/penumbra paths at given date/time
Successful predictions
- Every modern solar-eclipse path predicted to sub-kilometer precision
Supporting experiments
- Direct observation of predicted paths
Would be falsified by
- Eclipse path deviating from prediction
Where competing models agree
Alternative models are welcome to publish their own predicted paths; where they do, the paths have not matched observation.
Tides Model
Well supportedClaim: Ocean tides result primarily from lunar and solar gravitational gradients modulated by basin geometry.
Origin: Newton (1687); Laplace tidal equations (1775); Doodson harmonics (1921).
Foundational assumptions
- Lunar/solar mass, distance
- Basin geometry
Physical mechanisms
- Differential gravitational attraction across the Earth
Mathematical framework
Laplace tidal equations; harmonic decomposition.
Predictions
- Tide gauge readings at each station
Successful predictions
- Tide tables accurate to minutes and centimeters
Failed or disputed predictions
- Some coastal amplifications require detailed basin modeling
Supporting experiments
- Global tide-gauge network
Would be falsified by
- Predicted tides at a station failing repeatedly
Where competing models agree
Alternative tide mechanisms are proposed; quantitative predictions from them are rarely published.
Seasons Model
Well supportedClaim: Seasons arise from Earth's axial tilt (23.44°) and its orbit around the sun.
Origin: Ancient recognition; Kepler-Newton synthesis.
Foundational assumptions
- Axial tilt
- Elliptical orbit around sun
Physical mechanisms
- Angle of solar insolation varying by latitude and date
Mathematical framework
Solar declination as a function of orbital position and tilt.
Predictions
- Simultaneous opposite seasons in the two hemispheres
Successful predictions
- Confirmed globally each year
Would be falsified by
- Same-hemisphere synchronization of seasons across latitudes
Where competing models agree
Alternative models must explain simultaneous opposite hemispheric seasons; several proposed 'hot-spot sun' variants have not matched observed latitude patterns.
Time Zones Model
Well supportedClaim: Local solar noon varies with longitude; time zones offset from UTC follow ~15° longitude bands.
Origin: International Meridian Conference (1884).
Foundational assumptions
- Earth rotates once per ~24h relative to the sun (globe) OR sun circles above the plane (flat variant)
Physical mechanisms
- Rotation (globe) or apparent solar path (flat)
Mathematical framework
Angular offset × 4 min/deg.
Predictions
- Local solar noon time vs longitude
Successful predictions
- Verified worldwide
Supporting experiments
- Timekeeping records
Known limitations
- Compatible with either physical mechanism if the model can produce simultaneous day/night patterns; only the globe model has matched the observed simultaneous antipodal midnight/noon in verified live cross-continent broadcasts.
Would be falsified by
- Antipodal live broadcasts violating simultaneity
Where competing models agree
Both models attempt to explain time zones; flat variants require a moving 'spotlight sun' whose predicted illumination patterns have not matched observed simultaneous day at antipodal locations.
Satellite Orbit Model
Well supportedClaim: Artificial satellites follow Keplerian/Newtonian orbits around Earth with well-defined altitudes and periods.
Origin: 20th-century orbital mechanics; first orbit Sputnik 1 (1957).
Foundational assumptions
- Newtonian gravity
- Roughly spherical Earth
Physical mechanisms
- Gravitational orbit
Mathematical framework
Two-line-element sets, SGP4 propagator.
Predictions
- Satellite pass times, positions
Successful predictions
- Verified daily via amateur satellite tracking, radio, and GPS
Supporting experiments
- Radio triangulation of satellite passes
Would be falsified by
- Satellite motion inconsistent with orbital equations
Where competing models agree
Some alternative models replace satellites with high-altitude balloons or ground transmitters; those alternatives must explain time-of-flight ranging data from independent receivers.
Biblical Cosmology Interpretations
Informally statedClaim: Various traditional readings of Hebrew and Christian scripture describe an Earth with a firmament, waters above and below, and specific creation events.
Origin: Genesis 1; Psalm 104; ancient Jewish and Christian exegesis.
Foundational assumptions
- Chosen interpretive framework (literal, phenomenological, poetic, or symbolic) drives the physical claim
Physical mechanisms
- Interpretation-dependent
Mathematical framework
None inherent to the scripture; imposed by the interpreter.
Predictions
- Under strict-literal firmament reading: an observable solid dome
- Under phenomenological reading: matches modern astronomy without physical firmament
Successful predictions
- Phenomenological readings are compatible with observed astronomy
Failed or disputed predictions
- Strict-literal firmament predictions have not been observationally confirmed
Known limitations
- The physical claim depends entirely on the interpretive framework chosen; scripture itself does not specify which is intended.
Would be falsified by
- A framework-specific prediction that fails the measurement it declares
Where competing models agree
Scriptural language is compatible with multiple physical models depending on interpretation.