High School Understanding randomness in universe

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In a one-particle universe, the concept of randomness is limited as the evolution of the particle is governed by its Hamiltonian without any meaningful measurement. Introducing additional particles complicates the scenario, as their interactions lead to more complex dynamics. However, without a macroscopic measuring device, the notion of measurement remains ambiguous, suggesting that randomness may not truly exist. This discussion highlights a variation of the measurement problem in quantum mechanics. Understanding these principles is essential for exploring the nature of randomness in the universe.
shivakumar
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TL;DR
finding randomness in single particle universe and understand randomness in nature
how will randomness of particle be in one particle universe? how will it evolve with two, three or four particle based universe?
 
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shivakumar said:
TL;DR Summary: finding randomness in single particle universe and understand randomness in nature

how will randomness of particle be in one particle universe? how will it evolve with two, three or four particle based universe?
As far as QM is concerned, a universe with a small number of particles will evolve under the Hamiltonian associated with their mutual interaction. Without a macroscopic measuring device, the question of a measurement of the particles is meaningless. In that sense there is no randomness.

That is one variation of the so-called measurement problem.
 

Thread 'Mousetrap Car Energy efficiency'

For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...
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