Higher Dimension and Randomness

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Higher dimensions, such as the 5th and 6th, are often associated with alternate realities that arise from different initial conditions. However, the concept of randomness in quantum mechanics indicates that identical starting states can lead to different outcomes, challenging the idea of deterministic universes. This intrinsic randomness is a fundamental aspect of quantum theory, where measurements on identical systems can yield varying results. The confusion arises from conflating higher dimensions with the randomness inherent in quantum mechanics. Understanding these principles clarifies how different realities can emerge from the same conditions.
Kaura
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I often here claims that higher dimensions such as the 5th and 6th dimensions deal with different possible realities, be it branching off or from different start conditions.

I find this confusing and would like to have it cleared up how it is possible for different so called realities to occur from the same conditions

For example, a computer cannot create truly random numbers because it requires conditional input that undergoes cause and effect

Likewise, can the universe actually undergo different possibilities from the same cause and or state?

My understand of quantum mechanics is elementary so I am likely overlooking something or confusing the whole notion of higher dimensions

I hope my question is clear enough, although I feel I have only managed to confused myself further, thank you
 
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Higher dimensions and "different so-called realities" have nothing to do with the inherent randomness of quantum mechanics. However, randomness is inherent to quantum mechanics; an essential property of the theory is that two systems may be prepared in exactly the same state, yet the same measurement on the two systems may yield different results.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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