Numerical Relativity and Quantum Mechanics

Under normal conditions, quarks and gluons are confined in the protons and neutrons that make up everyday matter. But at high energy densities—the range accessible at today’s particle accelerators—quarks and gluons form a plasma reminiscent of the primordial Universe after the big bang. Understanding how the transition (Fig. 1) from the confined state to this quark-gluon plasma (and vice versa) occurs is a fundamental goal of experiments at the Relativistic Heavy Ion Collider and the Large Hadron Collider, which recreate the plasma by colliding nuclei at ultrarelativistic speeds. Theorists are therefore looking for new ways to study the transition with quantum chromodynamics (QCD), the mathematically challenging theory that describes the strong interaction between quarks. In Physical Review Letters, researchers in the HotQCD Collaboration report an analysis of this phase transition using a formulation of QCD that lends itself to numerical solutions on a computer, called lattice QCD [1]. Their simulations of deconfinement—the first to be performed with a version of lattice QCD that accurately describes the masses and, in particular, the symmetries of the quarks—yield the critical temperature for the transition to occur, and show that it is a smooth crossover, rather than an abrupt change.Viewpoint: Testing a Realistic Quark-Gluon Plasma  Bold and underlined added by me for emphasis

While the link(String theory may hold answers about quark-gluon plasma ) was shown in the previous post to this thread as numerical relativity it might be of difficulty that you persons respectively may be able to explain the nature of the connection,  if any,  between a relativistic interpretation with a quantum mechanical understanding? You understand it’s a problem, how is it reconciled?

Record-breaking science applications have been run on the BG/Q, the first to cross 10 petaflops of sustained performance. The cosmology simulation framework HACC achieved almost 14 petaflops with a 3.6 trillion particle benchmark run,[51] while the Cardioid code,[52][53] which models the electrophysiology of the human heart, achieved nearly 12 petaflops with a near real-time simulation, both on Sequoia.Blue Gene

See also:

By using Einstein’s equations to predict the pattern of gravity waves emitted during the collision of two black holes, or generated in a variety of other cataclysmic events, and comparing the predictions with the observations, an alliance of computational scientists from nine institutions plans to test this as yet unconfirmed prediction of Einstein’s famous theory. These scientists belong to a research discipline called Numerical Relativity.

Numerical Relativity Code and Machine Timeline

You may also find Feynman statement of some interest?

   As Richard Feynman put it:[13]

        “It always bothers me that, according to the laws as we understand them today, it takes a computing machine an infinite number of logical operations to figure out what goes on in no matter how tiny a region of space, and no matter how tiny a region of time. How can all that be going on in that tiny space? Why should it take an infinite amount of logic to figure out what one tiny piece of space/time is going to do? So I have often made the hypotheses that ultimately physics will not require a mathematical statement, that in the end the machinery will be revealed, and the laws will turn out to be simple, like the chequer board with all its apparent complexities”.

Numerical simulations

Numerical simulations have different objectives depending on the nature of the task being simulated:

  •  Reconstruct and understand known events (e.g., earthquake, tsunamis and other natural disasters).

  • Predict future or unobserved situations (e.g., weather, sub-atomic particle behaviour).

Computational science

So, Quantum Realism has to be looked at as a description of the real world? Does Quantum realism lead you to nothing? In context of the solution toward unification of Relativity and the quantum world is a “unification point?” Meaning……

An equilibrium point is hyperbolic if none of the eigenvalues have zero real part. If all eigenvalues have negative real part, the equilibrium is a stable equation. If at least one has a positive real part, the equilibrium is an unstable node. If at least one eigenvalue has negative real part and at least one has positive real part, the equilibrium is a saddle point. Equilibrium point

That a straight line has to somehow be explained as not bending either one way or another and without losing information(even if information is scrambled)? Hopefully, you can help me here?

Perfect fluids are often used in general relativity to model idealized distributions of matter, such as in the interior of a star. Perfect fluid

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