AgentSkillsCN

physics-content-validator

验证物理内容的科学准确性,涵盖方程、单位、常数,以及常见的误解。适用于撰写或审核物理内容、博客文章,或教育材料时使用。

SKILL.md
--- frontmatter
name: physics-content-validator
description: Validate scientific accuracy of physics content including equations, units, constants, and common misconceptions. Use when writing or reviewing physics content, blog posts, or educational material.
allowed-tools: Read

Physics Content Validator

Validate the scientific accuracy of physics content for the FísicaFans blog to ensure educational credibility and correctness.

Validation Areas

  1. Equations: Correct formulas and proper notation
  2. Units: SI units and dimensional analysis
  3. Constants: Accurate physical constant values
  4. Terminology: Proper physics terminology
  5. Common Mistakes: Avoid typical physics misconceptions

Physical Constants Reference

Fundamental Constants

ConstantSymbolValueUnits
Speed of lightc299,792,458m/s (exact)
Planck constanth6.62607015 × 10⁻³⁴J·s (exact)
Reduced Planck1.054571817 × 10⁻³⁴J·s
Gravitational constantG6.67430 × 10⁻¹¹N·m²/kg²
Elementary chargee1.602176634 × 10⁻¹⁹C (exact)
Boltzmann constantk_B1.380649 × 10⁻²³J/K (exact)
Avogadro's numberN_A6.02214076 × 10²³mol⁻¹ (exact)
Gas constantR8.314462618J/(mol·K)

Electromagnetic Constants

ConstantSymbolValueUnits
Permittivity of free spaceε₀8.854187817 × 10⁻¹²F/m
Permeability of free spaceμ₀1.25663706212 × 10⁻⁶H/m
Coulomb constantk_e8.9875517923 × 10⁹N·m²/C²

Particle Masses

ParticleSymbolMass (kg)Mass (MeV/c²)
Electronm_e9.1093837015 × 10⁻³¹0.51099895
Protonm_p1.67262192369 × 10⁻²⁷938.27208816
Neutronm_n1.67492749804 × 10⁻²⁷939.56542052

SI Units Validation

Base SI Units

QuantityUnitSymbol
Lengthmeterm
Masskilogramkg
Timeseconds
Electric currentampereA
TemperaturekelvinK
Amount of substancemolemol
Luminous intensitycandelacd

Derived SI Units (Common in Physics)

QuantityUnitSymbolIn Base Units
ForcenewtonNkg·m/s²
EnergyjouleJkg·m²/s²
PowerwattWkg·m²/s³
PressurepascalPakg/(m·s²)
FrequencyhertzHzs⁻¹
Electric chargecoulombCA·s
VoltagevoltVkg·m²/(A·s³)
ResistanceohmΩkg·m²/(A²·s³)
Magnetic fieldteslaTkg/(A·s²)

Common Unit Errors to Avoid

Wrong: "Energy is measured in watts" ✅ Correct: "Power is measured in watts; energy is measured in joules"

Wrong: "Mass in grams" ✅ Correct: "Mass in kilograms (kg is the SI base unit)"

Wrong: "Temperature in Celsius" ✅ Correct: "Temperature in kelvin (K is the SI base unit; °C is derived)"

Wrong: "Force = ma newtons" ✅ Correct: "Force = ma, measured in newtons (N)"

Equation Validation Checklist

Classical Mechanics

Correct Equations:

  • Newton's 2nd Law: F = ma
  • Kinetic Energy: E_k = ½mv²
  • Gravitational Force: F = Gm₁m₂/r²
  • Momentum: p = mv

Common Mistakes:

  • F = ma² (wrong exponent)
  • E_k = mv² (missing ½ factor)
  • p = m/v (inverted formula)

Thermodynamics

Correct Equations:

  • First Law: ΔU = Q - W (with sign convention)
  • Ideal Gas: PV = nRT
  • Entropy: ΔS = Q/T (for reversible processes)

Common Mistakes:

  • ΔU = Q + W (wrong sign convention - depends on convention used, but be consistent!)
  • PV = RT (missing mole count n)

Electromagnetism

Correct Equations:

  • Coulomb's Law: F = k_e q₁q₂/r²
  • Electric Field: E = F/q
  • Ohm's Law: V = IR
  • Lorentz Force: F = q(E + v × B)

Common Mistakes:

  • F = k_e q₁q₂/r (missing square on r)
  • V = I/R (inverted formula)

Quantum Mechanics

Correct Equations:

  • Photon Energy: E = hν = ℏω
  • de Broglie: λ = h/p
  • Uncertainty: Δx·Δp ≥ ℏ/2 (not just ℏ!)
  • Schrödinger: iℏ∂ψ/∂t = Ĥψ

Common Mistakes:

  • E = ℏν (should be hν, or ℏω)
  • Δx·Δp ≥ ℏ (missing /2 factor)
  • Omitting the "i" in Schrödinger equation

Relativity

Correct Equations:

  • Mass-Energy: E = mc²
  • Lorentz Factor: γ = 1/√(1 - v²/c²)
  • Energy-Momentum: E² = (pc)² + (m₀c²)²

Common Mistakes:

  • E = mc (missing square)
  • γ = √(1 - v²/c²) (should be 1/√...)

Common Physics Misconceptions

1. Centrifugal Force

Misconception: "Centrifugal force pulls objects outward in circular motion" ✅ Correct: "Centrifugal force is a fictitious force in rotating reference frames. The real force is centripetal (inward)."

2. Heat vs Temperature

Misconception: "Heat and temperature are the same thing" ✅ Correct: "Heat is energy transfer (measured in joules), temperature is average kinetic energy (measured in kelvin)"

3. Gravity in Space

Misconception: "There's no gravity in space" ✅ Correct: "Gravity exists everywhere; astronauts experience microgravity due to continuous freefall (orbit)"

4. Heisenberg Uncertainty

Misconception: "We can't measure position and momentum because our instruments disturb the particle" ✅ Correct: "Uncertainty is fundamental to quantum mechanics, not a measurement limitation"

5. Speed of Light

Misconception: "Nothing can go faster than light" ✅ Correct (more precise): "Nothing can travel faster than c through spacetime; information cannot travel faster than c"

6. E=mc²

Misconception: "E=mc² only applies to nuclear reactions" ✅ Correct: "E=mc² is universal mass-energy equivalence; applies to all energy (including chemical bonds, heat, etc.)"

7. Conservation of Energy

Misconception: "Energy is never lost" ✅ Correct: "Energy is conserved (not lost), but can be transformed into less useful forms (entropy increases)"

Terminology Validation

Correct vs Incorrect Terms

CorrectIncorrectNotes
Speed of light (c)Light speedUse "speed of light"
Kinetic energyKinetic powerEnergy, not power
Electric fieldElectrical field"Electric" is correct
PhotonLight particlePhoton is the technical term
WavelengthWave lengthOne word
Reference frameFrame of reference"Reference frame" is standard

Content Review Process

When reviewing physics content:

  1. Read for comprehension: Does the explanation make sense?
  2. Check equations: Are formulas correct and properly formatted?
  3. Verify units: Are SI units used consistently?
  4. Validate constants: Are physical constants accurate?
  5. Confirm terminology: Is physics jargon used correctly?
  6. Check for misconceptions: Does content reinforce or debunk common myths?
  7. Verify sources: Are claims backed by reputable sources?

Example Validation

❌ Incorrect Content

"The energy of light is measured in watts and depends on its amplitude. The formula is E = hλ where h is Planck's constant and λ is wavelength. Temperature is measured in Celsius."

Problems:

  1. Energy is measured in joules, not watts (power)
  2. E = hλ is wrong; should be E = hν = hc/λ
  3. Temperature SI unit is kelvin, not Celsius

✅ Corrected Content

"The energy of a photon is measured in joules and depends on its frequency. The formula is E = hν (or E = hc/λ), where h = 6.626×10⁻³⁴ J·s is Planck's constant, ν is frequency, and λ is wavelength. For thermodynamic temperature, the SI unit is kelvin (K)."

Red Flags (Immediate Review Needed)

🚩 Equations without units specified 🚩 Constants without values or incorrect values 🚩 "Heat energy" vs "thermal energy" (be precise) 🚩 Mixing different unit systems (SI + imperial) 🚩 Claiming something is "impossible" in physics (usually nuanced) 🚩 Missing significant figures in calculations 🚩 Confusing vectors and scalars (F vs |F|)

Validation Checklist

Before publishing physics content:

  • All equations use correct formulas
  • LaTeX notation is accurate
  • SI units used consistently
  • Physical constants have correct values
  • No common misconceptions reinforced
  • Terminology is technically correct
  • Claims are scientifically accurate
  • Sources cited where appropriate
  • Dimensional analysis checks out
  • Sign conventions explained (where relevant)

Resources for Verification

  1. NIST Physical Constants: https://physics.nist.gov/cuu/Constants/
  2. SI Units: https://www.bipm.org/en/measurement-units
  3. Hyperphysics: http://hyperphysics.phy-astr.gsu.edu/
  4. Physics Stack Exchange: https://physics.stackexchange.com/
  5. ArXiv: https://arxiv.org/ (for recent research)

Reference

For complete constant values and common mistakes, see: