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Any non-kinematic CMB dipole component would thus reflect the preinflationary structure of space-time probing the extent of the FLRW applicability. Cosmic backgrounds from galaxies after the matter-radiation decoupling should have a kinematic dipole component identical in velocity to the CMB kinematic dipole. Comparing the two can lead to isolating the CMB non-kinematic dipole. It was recently proposed that such a measurement can be done using the near-infrared cosmic infrared background (CIB) measured with the currently operating <jats:italic>Euclid<\/jats:italic> telescope, and later with <jats:italic>Roman<\/jats:italic>. The proposed method reconstructs the resolved CIB, the integrated galaxy light (IGL), from <jats:italic>Euclid<\/jats:italic>\u2019s Wide Survey and probes its dipole with a kinematic component amplified over that of the CMB by the Compton\u2013Getting effect. The amplification coupled with the extensive galaxy samples forming the IGL would determine the CIB dipole with an overwhelming signal-to-noise ratio, isolating its direction to sub-degree accuracy. We developed details of the method for <jats:italic>Euclid<\/jats:italic>\u2019s Wide Survey in four bands spanning from 0.6 to 2 \u03bcm. We isolated the systematic and other uncertainties and present methodologies to minimize them, after confining the sample to the magnitude range with a negligible IGL\u2013CIB dipole from galaxy clustering. These include the required star\u2013galaxy separation, accounting for the extinction correction dipole using the new method developed here achieving total separation, and accounting for the Earth\u2019s orbital motion and other systematic effects. Finally, we applied the developed methodology to the simulated <jats:italic>Euclid<\/jats:italic> galaxy catalogs, successfully testing the upcoming applications. With the techniques presented, one would indeed measure the IGL\u2013CIB dipole from <jats:italic>Euclid<\/jats:italic>\u2019s Wide Survey with high precision, probing the non-kinematic CMB dipole.<\/jats:p>","DOI":"10.1051\/0004-6361\/202449385","type":"journal-article","created":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T18:52:58Z","timestamp":1719514378000},"page":"A294","source":"Crossref","is-referenced-by-count":4,"title":["<i>Euclid<\/i> preparation"],"prefix":"10.1051","volume":"689","author":[{"name":"Euclid Collaboration:","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2156-078X","authenticated-orcid":false,"given":"A.","family":"Kashlinsky","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8403-8548","authenticated-orcid":false,"given":"R. G.","family":"Arendt","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3993-0745","authenticated-orcid":false,"given":"M. L. 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