theory badges

838 public concepts

This index is navigation only; assess each concept and its sources before use.

  1. Ordinary elastic nuclear-recoil bound — For a free incident particle and a target nucleus initially at rest, ordinary two-body elastic scattering has a maximum recoil energy E_R,max = 2 μ²v²/m_N, where μ is the reduced mass, v the incident speed, and m_N the target nuclear mass. Calculate with the stated particle, target, and speed before comparing with a claimed recoil.
  2. Dimension Consistency — Checks that equations preserve compatible physical dimensions from input to output.
  3. Speed of Light Constant — Represents c as the invariant light-speed constant used by relativity relations.
  4. Quantum Energy-Frequency Relation — Relates photon-like energy to frequency through Planck's constant.
  5. Momentum-Wavelength Relation — Relates de Broglie momentum to wavelength through Planck's constant.
  6. Position-Momentum Uncertainty — Represents the reference lower bound between position and momentum spread.
  7. Energy-Momentum Conservation — Represents conservation of the energy-momentum four-vector in symmetric settings.
  8. Relativistic Energy-Momentum Relation — Connects total energy, momentum, mass, and c in special relativity.
  9. Rest Energy — Relates rest mass to rest energy through c squared.
  10. Energy Density — Relates an energy quantity to volume as density.
  11. Power Rate — Relates energy transfer to elapsed time.
  12. Lorentz Factor — Relates relative speed to the gamma factor used by relativistic frame comparisons.
  13. Stress-Energy Tensor — Organizes energy density, momentum flux, and stresses as the source object used by GR.
  14. Romer Io Light-Time Delay — Represents the finite-light-speed constraint from changing Io eclipse times as Earth-Jupiter distance changes.
  15. Bradley Stellar Aberration — Represents stellar aberration as the angular effect of Earth orbital motion combined with finite light speed.
  16. Fizeau Toothed-Wheel Terrestrial c — Represents Fizeau's toothed-wheel experiment as a terrestrial round-trip light-time measurement.
  17. Foucault Medium-Speed Constraint — Represents Foucault's rotating-mirror comparison showing light travels slower in water than in air.
  18. Fizeau Flowing-Water Drag — Represents Fizeau's moving-water result as partial light drag rather than simple Galilean velocity addition.
  19. Michelson-Morley Aether-Drift Null — Represents the interferometer null result as a bound on directional light-speed variation from an aether wind.
  20. Trouton-Noble Torque Null — Represents the null torque result for a charged capacitor as an electromagnetic aether-drift constraint.
  21. Lorentz-FitzGerald Length Contraction Context — Represents length contraction as the historical bridge from aether-drift null results to Lorentzian kinematics.
  22. Lorentz Transformation Context — Represents Lorentz transformations as the compact coordinate structure that preserves light-speed form across inertial frames.
  23. Relativity History Constraint Boundary — Blocks promotion from any one historical experiment into a one-step proof of special relativity or any project physics claim.
  24. Einstein field equation — Connects spacetime curvature with stress-energy as a canonical GR reference.
  25. Stress-energy conservation — Tracks the compatibility condition that stress-energy should be conserved in the GR setting.
  26. 3+1 decomposition — Splits spacetime geometry into lapse, shift, and spatial metric terms used by simulation diagnostics.
  27. Lapse-shift profile sample — Represents a scalar timing offset used to inspect a sampled lapse-shift profile.
  28. Energy density proxy — Relates an energy-like quantity to an effective sampled volume.
  29. Tile duty-cycle average — Converts an energy-per-cycle term into an average power proxy over a cycle period.
  30. Source residual — Compares a required source proxy with an available source proxy.
  31. Wall T00 source residual — Compares metric-required wall T00 with the available wall-region source T00 before global source residuals are interpreted.
  32. Energy-condition diagnostic gate — Collects source and inequality indicators into a diagnostic gate label.
  33. QEI badge replay margin — Replays the scalar badge calculation qei_margin = qei_bound - qei_sample; the runtime dossier is the authoritative QEI artifact when available.
  34. Diagnostic-only claim boundary — Marks NHM2 theory badges as diagnostic references rather than validation statements.
  35. Eulerian Normal Observer — Defines the Eulerian normal observer from the same-chart lapse and shift fields.
  36. Observer Energy-Density Projection — Projects the same-chart stress-energy tensor into Eulerian energy density.
  37. Observer Momentum-Density Projection — Projects the same-chart stress-energy tensor into Eulerian momentum density.
  38. Observer Spatial-Stress Projection — Projects the same-chart stress-energy tensor into spatial stress components.
  39. Full Tensor Authority Gate — Tracks whether T00, momentum density J_i, diagonal spatial stress, and off-diagonal S_ij are all emitted in the same chart.
  40. Same-Chart Full Tensor Artifact — Tracks explicit T00, T0i momentum-density, diagonal stress, and off-diagonal stress component status in one chart.
  41. Metric-Required Stress-Energy Tensor — Names the geometry-first stress-energy tensor required by the selected same-chart metric.
  42. Tile-Effective Tensor Counterpart — Represents the source-side tile-effective tensor requirement in the same chart, basis, region mask, and normalization convention.
  43. Source-Side Same-Basis Tensor Authority — Records whether the tile/material side supplies an independent same-chart tensor counterpart instead of a proxy scalar or metric echo.
  44. Source Component Authority Ledger — Records whether each regional source-side tensor component is present, admissible, non-proxy, and non-metric-echo.
  45. Wall T00 Trace Blocker — Promotes the wall-region metric-required T00 versus tile-effective T00 residual to an explicit blocker surface.
  46. Same-Basis Regional Tensor Residual — Compares metric-required and tile-effective tensors only after same-basis regional alignment.
  47. Coupled Closure Pass Candidate — Synchronizes source authority, regional residuals, conservation, QEI dossier, observer robustness, and material receipt gates into one diagnostic candidate.
  48. Regional Tensor Pass-Path Harness — Reports whether the regional tensor closure path is numerically ready after source authority, wall T00, residual, conservation, QEI, observer, material, and coupled-candidate gates.
  49. Switching Covariant Conservation — Records whether the dynamic source campaign includes regional-support, sector-boundary, time-derivative, and transition-kernel conservation terms.
  50. Frequency Convergence — Records whether a frozen frequency ladder converges at fixed cycle-average source over f, 2f, 4f, and 8f.
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