1- Does Projeqtor support Physical and financial Progress comparison? As you know physical and financial progress are some of the main important matters which must be controlled during a project. I mean the amount we have paied and and amount we have progressed in project application. If Projeqtor does support it, how can i access it?

I don't know if this answers your question but you'll have several information of that kind in Project screen :
- expense and cost : is about all what you have spent (real expense, real cost)
- validated cost is what you have gained (may be computed from order item)
You also have report "project dashboard" the represent financial syunthesis of project.

2- In activities, there are 4 fields, Validated, planned, Real, Requested. The Planned and Real are disabled for user data entering, How are they filled?

Planned is calculated from planning calculation, taking into account work assigned and all constraints.
Real is defined from data entered in Real Work Allocation screen.