<p>Observations of the fine structure constant in sources such as supernovae and quasars suggest apparent variations, typically ascribed to observational -uncertainties. Likewise, the persistent Hubble tension—between the CMB-inferred value <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1835_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="83" /> </InlineMediaObject> <EquationSource Format="TEX">\((\varvec{H}_{\varvec{0}} \varvec{\approx } \varvec{67.4}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msub> <mrow> <mi mathvariant="bold-italic">H</mi> </mrow> <mrow> <mn mathvariant="bold">0</mn> </mrow> </msub> <mrow> <mo mathvariant="bold">≈</mo> </mrow> <mrow> <mn mathvariant="bold">67.4</mn> </mrow> </mrow> </math></EquationSource> </InlineEquation>&#xa0;km/s/Mpc) and direct measurements (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1835_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varvec{H}_{\varvec{0}} \varvec{\approx } \varvec{73}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mrow> <mi mathvariant="bold-italic">H</mi> </mrow> <mrow> <mn mathvariant="bold">0</mn> </mrow> </msub> <mrow> <mo mathvariant="bold">≈</mo> </mrow> <mrow> <mn mathvariant="bold">73</mn> </mrow> </mrow> </math></EquationSource> </InlineEquation>&#xa0;km/s/Mpc)—remains unresolved. Additionally, quasars often display higher redshifts than their host galaxies, contrary to expectations from standard cosmology. A previous study&#xa0;(Postavaru and Craciun, Int. J. Mod. Phys. D, <b>33</b>(09n10), 2450033, 2024) proposed that the speed of light increases above a critical temperature <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1835_Article_IEq3.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="104" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varvec{T}_{\varvec{c}} \varvec{=} \varvec{4} \varvec{\times } \varvec{10}^{\varvec{9}}\,{\varvec{\textrm{K}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mrow> <mi mathvariant="bold-italic">T</mi> </mrow> <mrow> <mi mathvariant="bold-italic">c</mi> </mrow> </msub> <mrow> <mo mathvariant="bold">=</mo> </mrow> <mrow> <mn mathvariant="bold">4</mn> </mrow> <mrow> <mo mathvariant="bold">×</mo> </mrow> <msup> <mrow> <mn mathvariant="bold">10</mn> </mrow> <mrow> <mn mathvariant="bold">9</mn> </mrow> </msup> <mspace width="0.166667em" /> <mrow> <mtext>K</mtext> </mrow> </mrow> </math></EquationSource> </InlineEquation>. We extend this idea, showing that high-temperature sources—such as quasars, supernova cores, and GRBs—emit photons with an intrinsic thermal redshift that mimics cosmological redshift under constant-<i>c</i> assumptions. This reinterpretation reproduces the observed Hubble diagram without requiring dark energy, resolving the Hubble tension. Our model accounts for luminosity distance observations from supernovae, GRBs, and quasars and remains consistent with recent JWST results. Since atomic transitions are absent at <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13538_2025_1835_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varvec{T} \varvec{\gg } \varvec{T}_{\varvec{c}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mrow> <mi mathvariant="bold-italic">T</mi> </mrow> <mrow> <mo mathvariant="bold">≫</mo> </mrow> <msub> <mrow> <mi mathvariant="bold-italic">T</mi> </mrow> <mrow> <mi mathvariant="bold-italic">c</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation>, we also introduce a luminosity-based method for estimating source temperatures, enabling a unified treatment of high-temperature astrophysical phenomena.</p>

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Temperature-Induced Redshift and the Hubble Tension

  • Octavian Postavaru,
  • Virgil M. Craciun

摘要

Observations of the fine structure constant in sources such as supernovae and quasars suggest apparent variations, typically ascribed to observational -uncertainties. Likewise, the persistent Hubble tension—between the CMB-inferred value \((\varvec{H}_{\varvec{0}} \varvec{\approx } \varvec{67.4}\) ( H 0 67.4  km/s/Mpc) and direct measurements ( \(\varvec{H}_{\varvec{0}} \varvec{\approx } \varvec{73}\) H 0 73  km/s/Mpc)—remains unresolved. Additionally, quasars often display higher redshifts than their host galaxies, contrary to expectations from standard cosmology. A previous study (Postavaru and Craciun, Int. J. Mod. Phys. D, 33(09n10), 2450033, 2024) proposed that the speed of light increases above a critical temperature \(\varvec{T}_{\varvec{c}} \varvec{=} \varvec{4} \varvec{\times } \varvec{10}^{\varvec{9}}\,{\varvec{\textrm{K}}}\) T c = 4 × 10 9 K . We extend this idea, showing that high-temperature sources—such as quasars, supernova cores, and GRBs—emit photons with an intrinsic thermal redshift that mimics cosmological redshift under constant-c assumptions. This reinterpretation reproduces the observed Hubble diagram without requiring dark energy, resolving the Hubble tension. Our model accounts for luminosity distance observations from supernovae, GRBs, and quasars and remains consistent with recent JWST results. Since atomic transitions are absent at \(\varvec{T} \varvec{\gg } \varvec{T}_{\varvec{c}}\) T T c , we also introduce a luminosity-based method for estimating source temperatures, enabling a unified treatment of high-temperature astrophysical phenomena.