Quantum entanglement

 Quantum entanglement is taking place in timeless channel which  there is between two entangled particles. In other words quantum entanglement is taking place in coordinate centre  of time vector. Terms like distance, velocity, acceleration doesn't exist in such environment(dimension). 

https://bigthink.com/hard-science/brain-consciousness-quantum-entanglement/?utm_medium=Social&utm_source=Facebook&fbclid=IwAR0PvBkm_qZFbndbYloAOLriM5H_fnDaATJtm_4vTAzSf5Vr7xS7o7_oeY0#Echobox=1673588779-1

 

  

Uncertainty principle and collapsing of wave function

Given any two operators A,B:

ΔΑΔΒ >= ([Α,Β])/2ι >ΔTh

Where [A,B] is the commutator of the operators A and B and ΔTh is the deviation of Th operator.
Th is the threshold operator. If ([Α,Β])/2ι >ΔTh then the wave function  ψ is collapsing during the measurement

The openai.com comment:

Quantum neuron

The output of classical kth  neuron is:
               
where φ-transfer function depends on θ- threshold and and weights w₀ through w_{m .}

_{In quantum neuron weights are hidden in process of linear supeposition.} 

That is case when these two qubits are not entangled.If they are entangled then their behavior can be described  by the density matrix(operator) <<ρ>>

Cloud of probality- Nature of the subatomic world

In state of absent of observation electron behaves as  cloud of probability "related to"  the kernel  which also behaves as a cloud of probability.(double-split experiment)
Observation is nothing else than the time-dependent monitoring of some chain of events.

Zero-casual Hipothesis

Hipothesis:
The behavior of time in subatomic world is not the same as in our "usual" macroscopic world(due to  master field negative curvature of space time-like the gravitational curvature in black holes in the Universe).The subatomic system(world) -from our point of view- behaves  like a zero-casual system(system unaffected by time or the whole process taking place at less than Planck time intervals ,that is 10⁻⁴⁴ seconds.).More specifically the resultant vector of all dimensions of time  always lies in "our" macroscopic t-real-positive coordinate of time(Anisotropic Time Projection Operator-ATPO). Time t is a complex vector which belongs to T complex vector space. The magnitude of this resultant vector is |t| =t. In zero-casual systems the magnitude of resultant vector of time is always ~0 (~Zero). That is some kind of determinism(Aristotle) -quazi-determinism. 

This means that qubit <<lives>> in some new space E which is defined as : H (some operation) T
where H is Hilbert space.(...) or in mathematical terms:

                                      E=Ar(H,ATPO(T(t1,t2,..tn,F))

where Ar is mapping operator and n is the number of  dimensions of time..F is some field in subatomic word

Collapsing of wave function  during the measurement process is strictly related to zero-casual "nature" of subatomic world.Every measurement is nothing else than a sequential recording of the results of some events in function of time. If the time is zero then measurement does not take place(collapse) in such system.
The subatomic world as to itself is quazi-complete((Aristotle) and quazi-motionless.From this hipothesis ,based on the Parmenides thoughts,  is implied that such system doesn't need any change -thus,  time doesn't have any affect on such system.

We can not say confidently that in "quantum world"  the theory of Aristotle causality  is valid.  Maybe we can introduce a new term like the counter-causality which is counter-intuitive (experiment and result of experiment are taking place at the same time)

Useful note: https://en.wikipedia.org/wiki/Chronos