Table 1.

Pantheon + data fit parameters, |${\chi }^2$| values, the deceleration parameter, and the age of the Universe.

ParameterUnitLCDMCCCLCDM + TLCCC + TLTL+TL
|${{\rm{H}}}_0$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$||$72.99 \pm 0.34$||$72.70 \pm 0.34$|72.7472.62|$72.46 \pm 0.34$||$64.42 \pm 0.36$|
|${{\rm{H}}}_{\rm{x}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|72.9972.7|$60.48 \pm 1.06$||$59.51 \pm 1.06$|00
|${{\rm{H}}}_{\rm{t}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|0012.2613.1172.4664.42
|${{\rm{\Omega }}}_{{\rm{m}},0}$|NA|$0.3508 \pm 0.0243$|NA|$0.1351 \pm 0.0109$|NANANA
|${\rm{\alpha }}/{{\rm{H}}}_{\rm{x}}$|NANA|$- 0.4953 \pm 0.0246$|NA|$- 0.7997 \pm 0.0143$|NANA
|${\rm{\beta }}$|NANANANANA|$0.6418 \pm 0.0196$|NA
|${{\rm{\chi }}}^2$|NA745.4745.6745.3746.5749.92580
Fit Params.NA222221
DOFNA169916991699169916991700
|${{\rm{q}}}_0$|NA−0.474−0.371-0.797−0.780NANA
|${{\rm{t}}}_0$|Gyr13.7513.6919.2526.70NANA
ParameterUnitLCDMCCCLCDM + TLCCC + TLTL+TL
|${{\rm{H}}}_0$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$||$72.99 \pm 0.34$||$72.70 \pm 0.34$|72.7472.62|$72.46 \pm 0.34$||$64.42 \pm 0.36$|
|${{\rm{H}}}_{\rm{x}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|72.9972.7|$60.48 \pm 1.06$||$59.51 \pm 1.06$|00
|${{\rm{H}}}_{\rm{t}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|0012.2613.1172.4664.42
|${{\rm{\Omega }}}_{{\rm{m}},0}$|NA|$0.3508 \pm 0.0243$|NA|$0.1351 \pm 0.0109$|NANANA
|${\rm{\alpha }}/{{\rm{H}}}_{\rm{x}}$|NANA|$- 0.4953 \pm 0.0246$|NA|$- 0.7997 \pm 0.0143$|NANA
|${\rm{\beta }}$|NANANANANA|$0.6418 \pm 0.0196$|NA
|${{\rm{\chi }}}^2$|NA745.4745.6745.3746.5749.92580
Fit Params.NA222221
DOFNA169916991699169916991700
|${{\rm{q}}}_0$|NA−0.474−0.371-0.797−0.780NANA
|${{\rm{t}}}_0$|Gyr13.7513.6919.2526.70NANA
Table 1.

Pantheon + data fit parameters, |${\chi }^2$| values, the deceleration parameter, and the age of the Universe.

ParameterUnitLCDMCCCLCDM + TLCCC + TLTL+TL
|${{\rm{H}}}_0$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$||$72.99 \pm 0.34$||$72.70 \pm 0.34$|72.7472.62|$72.46 \pm 0.34$||$64.42 \pm 0.36$|
|${{\rm{H}}}_{\rm{x}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|72.9972.7|$60.48 \pm 1.06$||$59.51 \pm 1.06$|00
|${{\rm{H}}}_{\rm{t}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|0012.2613.1172.4664.42
|${{\rm{\Omega }}}_{{\rm{m}},0}$|NA|$0.3508 \pm 0.0243$|NA|$0.1351 \pm 0.0109$|NANANA
|${\rm{\alpha }}/{{\rm{H}}}_{\rm{x}}$|NANA|$- 0.4953 \pm 0.0246$|NA|$- 0.7997 \pm 0.0143$|NANA
|${\rm{\beta }}$|NANANANANA|$0.6418 \pm 0.0196$|NA
|${{\rm{\chi }}}^2$|NA745.4745.6745.3746.5749.92580
Fit Params.NA222221
DOFNA169916991699169916991700
|${{\rm{q}}}_0$|NA−0.474−0.371-0.797−0.780NANA
|${{\rm{t}}}_0$|Gyr13.7513.6919.2526.70NANA
ParameterUnitLCDMCCCLCDM + TLCCC + TLTL+TL
|${{\rm{H}}}_0$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$||$72.99 \pm 0.34$||$72.70 \pm 0.34$|72.7472.62|$72.46 \pm 0.34$||$64.42 \pm 0.36$|
|${{\rm{H}}}_{\rm{x}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|72.9972.7|$60.48 \pm 1.06$||$59.51 \pm 1.06$|00
|${{\rm{H}}}_{\rm{t}}$||${\rm{Km\ }}{{\rm{s}}}^{ - 1}{\rm{\ Mp}}{{\rm{c}}}^{ - 1}$|0012.2613.1172.4664.42
|${{\rm{\Omega }}}_{{\rm{m}},0}$|NA|$0.3508 \pm 0.0243$|NA|$0.1351 \pm 0.0109$|NANANA
|${\rm{\alpha }}/{{\rm{H}}}_{\rm{x}}$|NANA|$- 0.4953 \pm 0.0246$|NA|$- 0.7997 \pm 0.0143$|NANA
|${\rm{\beta }}$|NANANANANA|$0.6418 \pm 0.0196$|NA
|${{\rm{\chi }}}^2$|NA745.4745.6745.3746.5749.92580
Fit Params.NA222221
DOFNA169916991699169916991700
|${{\rm{q}}}_0$|NA−0.474−0.371-0.797−0.780NANA
|${{\rm{t}}}_0$|Gyr13.7513.6919.2526.70NANA
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