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Comoving Volume H Cubed Unit Pair

Convert a supplied comoving volume carrying h^-3 to the corresponding base cubic unit with explicit positive h.

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Description

Remove an inverse-cubic h scale from a supplied volume.

Cosmological quantities depend on scale factor, redshift, distance definition and the dimensionless Hubble parameter h. Proper and comoving distances differ at a specified epoch, and h-scaled units differ from the dimensional Hubble constant. A scalar rescaling or model contribution preserves supplied conventions without fitting a cosmology or inferring an observed distance.

Remove an inverse-cubic h scale from a supplied volume.

When to use this tool

Use Comoving Volume H Cubed Unit Pair when you already have volumeInHInverseCubicUnits, hValue and need to remove an inverse-cubic h scale from a supplied volume.

How to use the tool and how it works

  1. Enter volumeInHInverseCubicUnits, hValue. 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 physicalCubicVolume. Use the output convention below.

Require volume>=0 and hValue positive/finite; divide by h three times in succession.1

Input fieldMeaning and unitsAccepted input
volumeInHInverseCubicUnitsVolume In HInverse Cubic UnitsRequired. Finite number; minimum 0.
hValueH ValueRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
physicalCubicVolumevolumeInHInverseCubicUnits/hValue³; removes h scaling only. It remains comoving if the input is comoving, without an a³ proper-volume conversion.Required. Finite number.
json
{
  "input": {
    "volumeInHInverseCubicUnits": 8,
    "hValue": 0.5
  },
  "output": {
    "physicalCubicVolume": 64
  }
}

Limitations and assumptions

  • Output uses the underlying cubic length unit. Removing h^-3 does not itself convert comoving volume to same-epoch proper volume; no a^3 factor or distance integral is added.
  • 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 the complete cosmological model and its parameter, epoch and unit definitions for a physical inference. Review redshift, distance, lensing and spectrum conventions before combining these local terms; they do not perform line-of-sight integration, parameter estimation or uncertainty analysis.

References

  1. Calculation and input contract: cosmology/comoving-volume-h-cubed-unit-pair — tool.io

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