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April 5, 2026Open Access

Discrete Symplectic Cosmology: Non-autonomous Evolution on a Planck Lattice and an Effective Einstein Equation with Time-dependent Cosmological Term

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LWLiang Wang

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Overview

Theoretical framework proposes non-autonomous cosmic evolution, suggesting implications for Hubble parameter estimates and cooling laws.

Key Points

  • This work develops a framework for modeling cosmic evolution based on discrete symplectic dynamics.
  • Introduced discrete symplectic cosmology on a Planck-scale lattice.
  • Derived adiabatic cooling law and effective Einstein equations.
  • Performed numerical simulations to validate the cooling law using a Stormer-Verlet integrator.
  • Confirmed the adiabatic cooling law consistent over 60 decades of lattice time.
  • Derived a time-dependent cosmological term affecting gravitational dynamics.
  • Predicted observable consequences, including a testable Hubble parameter limit.

Cite This Study

Liang Wang (2026) studied this question.

synapsesocial.com/papers/69d1fe07a79560c99a0a4754https://doi.org/10.5281/zenodo.19401914
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