@Darunia9,
Hi Darunia
I'm sure you've already looked into Schrodinger's cat (or the measurement problem as it is known) and the electron double-slit experiment. Other ponderables are the EPR paradox and the Stern-Gerlach experiment. In general, there is the problem of interpretation in QM. QM predictions are derived mathematically, with scant attention to philosophical understanding. Some see this as a virtue, some as a sign that QM lacks a fundamental basis.
There are five main postulates in QM and you should probably be familiar with them.
1. All systems are described by wavefunctions (waves that vary in time and/or space) - note this is almost never a simple sinusoidal wave.
2. A measurement of a system can only yield specific measured states (eigenfunctions), each having a corresponding measurement result (eigenvalue).
3. The initial wavefunction of the system may comprise more than one allowed state(the expansion postulate)...
4. ...but because we can only measure one, after measurement the system must be in the measured state (collapse of the wavefunction).
5. How much of the measured state was present in the original wavefunction determines the probability of measuring that state.
For instance, I may have a measuring device that can measure -1, 0, or 1. To begin with, the system wavefunction describes a mixture of these states: 0.35x(-1) + 0.6x(0) + 0.53x(1). The probability of measuring, say (0) is 0.6 squared, or 36%. After measurement, I get the result (1). Thus the system is now in state (1) with probability 100%.
That is as close to a philosophical basis as QM gets. Shocking, eh? But there's plenty of scope for philosophy in there. Are objects really waves, or are waves just the best way of doing the maths? What does it mean to be more than one thing at once when we can only see objects as being one thing? How does simply observing something change it's state? Does this suggest consciousness has special powers in nature? Are processes really probabilistic or is there some underlying determinism that we're unaware of?