Quantum Decoherence & Gravity from Quantum Entropy
Quantum Decoherence, Entropy, and Gravity from Entropic Principles: From Density Matrices to Modified Einstein Equations
39
students
16 hours
content
May 2025
last update
$44.99
regular price
What you will learn
Learn how decoherence is related to the transition from the quantum to the classical world
Define the density matrix and its connection with decoherence, as well as the Von Neumann equation
Write down the density matrix for general mixed states
Learn how Quantum Entropy naturally arises from the density matrix, and how it is related to the definition of entropy in statistical mechanics
Write down the Wigner function, and learn how it is an extension of classical probabilities
Understand the Moyal equation, which is the dynamical equation satisfied by the Wigner function, and study its classical limit
Understand a recent research paper written by a mathematical physicist: Ginestra Bianconi. This paper will be the key to investigating gravity, quantum entropy.
Define eigenvalues and the logarithm of tensors
Learn the connection between Lagrangian densities and the entropic action in Ginestra Bianconi's article
Learn the generalization of the Klein Gordon equation from the quantum entropic action
Understand Topological fields, metric between vectors and bivectors
Define and learn the intuition behind the Codifferential and Dirac operator (differential forms will be used. There is also an appendix dedicated to them)
Learn the the G-field and the Θ-Field, which are used in Ginestra Bianconi's article to derive modified Einstein field equations
Derive the the cosmological constant from modified gravity
Take the variation of the entropic action to derived modified Einstein field equations
Understand how to caclulate the entropy of a black hole
Course Gallery
Loading charts...
6587023
udemy ID
27/04/2025
course created date
15/05/2025
course indexed date
Bot
course submited by