{"id":2503,"date":"2026-05-03T10:54:12","date_gmt":"2026-05-03T10:54:12","guid":{"rendered":"https:\/\/coherencegeometry.com\/?p=2503"},"modified":"2026-05-09T14:07:18","modified_gmt":"2026-05-09T14:07:18","slug":"a-constrained-dynamical-dark-energy-parameterization-with-linked-w%e2%82%80-and-w%e2%82%90","status":"publish","type":"post","link":"https:\/\/coherencegeometry.com\/index.php\/2026\/05\/03\/a-constrained-dynamical-dark-energy-parameterization-with-linked-w%e2%82%80-and-w%e2%82%90\/","title":{"rendered":"A Constrained Dynamical Dark Energy Parameterization with Linked w\u2080 and w\u2090"},"content":{"rendered":"\n<p><strong>Internal ID:<\/strong> CGI-RSR-000001<br><strong>Document Type:<\/strong> Research Paper<br><strong>Publication Date:<\/strong> April 2026<br><strong>Status:<\/strong> Public<br><strong>Domains:<\/strong> Physics<br><strong>Research Topics:<\/strong> Dark Energy, Cosmological Constant, DESI<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Abstract<\/h3>\n\n\n\n<p><em>We present a constrained dynamical dark-energy parameterization that provides a fit-ready alternative to standard phenomenological models used in late-time cosmology. At the level of the expansion history, the model introduces a minimal modification to \u039bCDM that can be implemented directly in H(z), BAO, and distance\u2013redshift analyses. The parameterization is motivated by a relaxation process toward a late-time locked state and yields a curved equation of state w(z) that approaches \u22121 asymptotically while allowing mild intermediate-redshift departures. Unlike the standard Chevallier\u2013Polarski\u2013Linder (CPL) ansatz, in which (w0,wa) are treated as independent, the present model links them through a single underlying dynamical structure, restricting the allowed region of parameter space. We derive the corresponding expansion history, summarize the associated observables, and compare the model to CPL over the observed redshift range. The resulting framework provides a reduced-degree-of-freedom description of dark-energy evolution that can be tested directly against large-scale structure data.<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Available Document<\/h3>\n\n\n\n<p><strong>DOI:<\/strong> <code><a href=\"https:\/\/doi.org\/10.5281\/zenodo.19650923\" rel=\"nofollow noopener\" target=\"_blank\">10.5281\/zenodo.19650923<\/a><\/code><\/p>\n\n\n\n<p><strong>Citation:<\/strong><br>Petersen, B. L., &amp; Johnson, R. K. (2026). A Constrained Dynamical Dark Energy Parameterization with Linked w_0 and w_a. Zenodo. <a href=\"https:\/\/doi.org\/10.5281\/zenodo.19650923\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/doi.org\/10.5281\/zenodo.19650923<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Source Code and Supporting Materials<\/h3>\n\n\n\n<p>H_residual_tuned.pdf<br>H_residual_tuned.png<br>w_fit_relaxation.png<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary and Notes<\/h3>\n\n\n\n<p>Document provided as a directed note to help researchers in the field.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Related Work<\/h3>\n\n\n\n<p>Foundations of CG Textbook<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CGI-RSR-000001:<br \/>\nWe present a constrained dynamical dark-energy parameterization that provides a fit-ready alternative to standard phenomenological models used in late-time cosmology. <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"categories":[37,31,56],"tags":[],"class_list":["post-2503","post","type-post","status-publish","format-standard","hentry","category-cosmology","category-physics","category-research-papers"],"_links":{"self":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/2503","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/comments?post=2503"}],"version-history":[{"count":8,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/2503\/revisions"}],"predecessor-version":[{"id":2536,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/posts\/2503\/revisions\/2536"}],"wp:attachment":[{"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/media?parent=2503"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/categories?post=2503"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/coherencegeometry.com\/index.php\/wp-json\/wp\/v2\/tags?post=2503"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}