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The Dual Sheet Model incorporates real world data: Updated code

  • The code snippet demonstrates the Dual Sheet Model (DSM) incorporating real-world data and equations for dark energy studies.
  • Real-world data for dark energy values and Hubble parameters are provided for analysis and comparison.
  • The code includes interpolations, optimizations, and calculations of observables like effective w(z) and H(z).
  • Functions for potentials, densities, Hubble parameters, derivatives, and chi-squared objective are defined and utilized.
  • The code optimizes parameters for the DSM using the Nelder-Mead method and presents best-fit parameters lambda, m, and m_tilde.
  • Simulations are run with the optimized parameters to compute w(z) and H(z) values for comparison with observational data.
  • Plots are generated to show the results of w(z) and H(z) from the DSM simulation against observational data from DESI, CMB, Planck, and Union3.
  • The plots illustrate the Dark Energy Equation of State and the Hubble Parameter comparison between DSM and observations.

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