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Cosmological H Scaled Mass Crosswalk

Apply an explicit h exponent to a quoted cosmological mass, making the scaling convention caller-supplied rather than inferred from notation.

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Description

Apply a supplied h exponent to a quoted cosmological mass.

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.

Apply a supplied h exponent to a quoted cosmological mass.

When to use this tool

Use Cosmological H Scaled Mass Crosswalk when you already have quotedMass, h, exponent and need to apply a supplied h exponent to a quoted cosmological mass.

How to use the tool and how it works

  1. Enter quotedMass, h, exponent. 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 physicalMass. Use the output convention below.

Require quotedMass>=0 and h>0; return quotedMass*h^exponent.1

Input fieldMeaning and unitsAccepted input
quotedMassQuoted MassRequired. Finite number; minimum 0.
hHRequired. Finite number; strictly above 0.
exponentAny finite signed number, including fractional values; not restricted to whole powers.Required. Finite number.
Output fieldInterpretationReturned shape
physicalMassquotedMass*h^exponent, in the mass unit used by the supplied h-scaled coefficient.Required. Finite number.
json
{
  "input": {
    "quotedMass": 100,
    "h": 0.5,
    "exponent": -1
  },
  "output": {
    "physicalMass": 200
  }
}

Limitations and assumptions

  • Exponent and h convention must match the quoted units, with mass unit otherwise preserved. This does not apply a scale-factor correction, estimate h or infer physical mass from observations.
  • 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/cosmological-h-scaled-mass-crosswalk — tool.io

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