# Complex numbers string theory

• ## How complex is string theory?

One of the challenges of string theory is that the full theory does not have a satisfactory definition in all circumstances.
Another issue is that the theory is thought to describe an enormous landscape of possible universes, which has complicated efforts to develop theories of particle physics based on string theory..

• ## How complex numbers are involved in quantum mechanics?

Complex numbers make the equations in quantum mechanics simpler.
You can either have one equation (say, the Schr\xf6dinger or Dirac wave equation) with complex numbers or two different and coupled equations with real numbers that are much harder to solve..

• ## What are the 26 dimensions?

The 26 dimensions of Closed Unoriented Bosonic String Theory are interpreted as the 26 dimensions of the traceless Jordan algebra J3(O)o of 3x3 Octonionic matrices, with each of the 3 Octonionic dimenisons of J3(O)o having the following physical interpretation: 4-dimensional physical spacetime plus 4-dimensional .

• ## What kind of math is used in string theory?

Despite what Jack Fraser says, the answer is that the amount of mathematics necessary to study String theory varies a lot by the type of String Theory that you want to do. .
People interested in pursuing their work should have a solid background in algebraic geometry, K-theory, integrable systems, etc..

• ## What math does string theory use?

In contrast, string theory has provided an enormous amount of precise conjectures in disciplines that belong in principle to the most abstract parts of mathematics, like algebraic geometry and differential topology..

• ## Where do complex numbers exist?

Their use extends to different scientific branches, ranging from mathematics to engineering.
Complex numbers can also represent electromagnetic waves and electric currents, so they are essential in the field of electronics and telecommunications..

• ## Why are complex numbers so useful?

What is the importance of complex numbers? While their day-to-day application is not as direct as that of real numbers, their imaginary component makes complex numbers important as they make it possible to work very precisely in specific areas of science and physics..

• ## Why does quantum need complex numbers?

A more general way to put it is to say that complex numbers are indispensable to describe (two-state) systems with more than two incompatible observables..

• No experiment has definitively proven string theory to be the fundamental theory of nature.
However, the ideas of string theory have passed countless theoretical and mathematical tests over the last fifty years.
• They aren't part of the equations of any fundamental theory of physics, however—except for quantum mechanics.
The most common version of quantum theory relies on complex numbers.
When we restrict the numbers appearing in the theory to the real numbers, we arrive at a new physical theory: real quantum theory.
• This is because a quantum system is linear: any solution to the Schrodinger equation can be multiplied by a complex number and any two solutions can be added, and the result will still be a solution to the Schrodinger equation.
• “[i]f we learn that there is no super-symmetry or no higher dimensions or no unification of all the forces, then string theory is false”.
Mar 2, 2020Researchers find string theory link in a class of complex numbers A collaboration of a mathematician and a physicist has shown that the
Mar 2, 2020The idea is that the way the number of points in the geometric object increases will shed light on how the set of "numbers" expands. This
May 1, 2011Most everyone is familiar with the “real” numbers, but far more types of numbers exist. Among them, the best known are the complex numbers,

Quantum mechanical model based on mathematical matrices

In theoretical physics, the matrix theory is a quantum mechanical model proposed in 1997 by Tom Banks, Willy Fischler, Stephen Shenker, and Leonard Susskind; it is also known as BFSS matrix model, after the authors' initials.

Collection of possible string theory vacua

In string theory, the string theory landscape is the collection of possible false vacua, together comprising a collective landscape of choices of parameters governing compactifications.

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