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Baryon Density Physical Parameter Crosswalk Tool

Calculate baryon density physical parameter crosswalk from explicit caller-supplied inputs.

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Description

Return the physical baryon-density parameter combination.

Cosmology uses several distance measures and often expresses the expansion rate in mixed astronomical units. Scale-factor relations, inverse-Hubble scales and relativistic velocity composition answer different questions; units and the distinction between local algebra and an integrated expansion history are essential.

Return the physical baryon-density parameter combination.

When to use this tool

Use Baryon Density Physical Parameter Crosswalk when checking one explicit cosmological distance, redshift-factor or unit convention.

How to use the tool and how it works

  1. Enter omegaBaryon, h. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read omegaBaryonH2. Use the output convention below.

Return the physical baryon-density parameter combination. Require omegaBaryon >= 0 and h > 0; omegaBaryonH2 = omegaBaryon*h².1

Input fieldMeaning and unitsAccepted input
omegaBaryonDimensionless baryon density relative to present critical density.Required. Finite number; minimum 0.
hHRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
omegaBaryonH2Dimensionless omegaBaryon*h², not an SI mass density.Required. Finite number.
json
{
  "input": {
    "omegaBaryon": 0.05,
    "h": 0.7
  },
  "output": {
    "omegaBaryonH2": 0.024499999999999997
  }
}

Limitations and assumptions

  • Both inputs are dimensionless, with h = H0/(100 km s^-1 Mpc^-1); this is not mass density in kg/m³.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete cosmological distance/time calculation and the appropriate observation model when an actual source distance, age or velocity is required.

References

  1. Calculation and input contract: cosmology/baryon-density-physical-parameter-crosswalk — tool.io

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