- #1
DyerMaker
- 15
- 0
Are there any mathematical models which operate with physical time as with hypercomplex number? If yes, are there any related experiments?
What does this even mean?DyerMaker said:Are there any mathematical models which operate with physical time as with hypercomplex number?
Hypercomplex numbers are: https://en.m.wikipedia.org/wiki/Hypercomplex_numberPeterDonis said:What does this even mean?
Have you looked in the literature to see?DyerMaker said:Hypercomplex numbers are: https://en.m.wikipedia.org/wiki/Hypercomplex_number
Has time (t) ever been used as hypercomplex number in physics?
Already foundPeterDonis said:Have you looked in the literature to see?
Then please post what you found.DyerMaker said:Already found
What I found is not exactly about what I asked, but about a concept of n-dimentional time: http://ru.wikipedia.org/wiki/Многомерное времяPeterDonis said:Then please post what you found.
The idea of having more than one time dimension does appear in the literature, but it has not gone anywhere or made any useful predictions.DyerMaker said:What I found is not exactly about what I asked, but about a concept of n-dimentional time: http://ru.wikipedia.org/wiki/Многомерное время
Hypercomplex numbers are extensions of the complex number system. They include numbers such as quaternions, octonions, and sedenions, which extend beyond the familiar real and complex numbers. Each of these systems has its own rules for addition, multiplication, and other operations.
In theoretical physics and mathematics, hypercomplex numbers can be used to model various dimensions, including time. However, the standard representation of time in most physical theories is as a real number or a complex number. Using hypercomplex numbers to represent time is more speculative and is generally considered within the realm of advanced theoretical research.
Complex numbers are of the form a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit with the property i² = -1. Hypercomplex numbers extend this concept by introducing additional units and dimensions. For example, quaternions have the form a + bi + cj + dk, where 'i', 'j', and 'k' are imaginary units with specific multiplication rules.
While hypercomplex numbers are not commonly used in everyday time-related problems, they have applications in advanced fields such as quantum mechanics, relativity, and computer graphics. In these fields, hypercomplex numbers can help model complex systems and phenomena, including those involving multiple dimensions of time and space.
One of the main challenges is the increased complexity of calculations and the less intuitive nature of hypercomplex numbers compared to real or complex numbers. Additionally, the physical interpretation of time as a hypercomplex number is not well-established and may require new theoretical frameworks. This complexity can make it difficult to derive meaningful and accurate results in practical applications.