As we know heat is a form of energy and its main source is sun and it causes the atoms to vibrate. On the other hand, many say that coldness is just the absence of that energy, but if any thing is moving and has some energy then to stop it requires some energy. If coldness is making the atoms stop vibrating then it also has energy, and it is a form of energy. That energy is being utilized as well such as in super conductors. If coldness is a form of energy then it is not possible to have energy without any source, so coldness should also have some source in the universe.
"but if any thing is moving and has some energy then to stop it requires some energy so if coldness is making the atoms stop vibrating then it also has energy and it is a form of energy and that energy is being utilized as well"
This is based off a faulty premise. Stopping something moving doesn't require more energy; it just requires somewhere else for the energy to go besides the moving object. Energy is still conserved in the universe, the slowing of the moving object means that something else gained energy.
The same is true for heat when things get cold. It doesn't take extra energy to cool them down. The thermal energy is just going somewhere else besides the body that has cooled.
A heat engine such as a steam turbine in a big electric power station does work by tapping the flow of heat from a heat source to a heat sink (i.e., to what you might call a "source of coldness.") You can make a tea-cup stirling engine run off the flow of heat from a room-temperature heat source to a very cold heat sink (e.g., dry ice).
I once saw a demonstration at the Royal Institution in London about heat.
The lecturer was about to talk about infra-red radiation and pulled a red hot cannon ball of about $10\,\rm cm$ diameter out of a furnace and placed in on a tripod.
Almost immediately there was a flash and a loud explosion near the roof of the lecture theatre which was about 25 metres above the audience.
After the audience had calmed down the lecturer explained that he had place the red hot cannon ball at the focal point of a metal concave mirror which most had not noticed.
High above that concave mirror was another mirror with an explosive charge at its focal point.
The lecturer then explained that infra red radiation had travelled from the cannon ball, been reflected into a parallel beam by the bottom mirror and then collected and focussed by the top mirror.
The temperature in the vicinity of the explosive charge had risen and set it off.
So "heat" had been transferred from the cannon ball to the explosive change.
The experiment was then repeated with a cannon ball that had been cooled in liquid nitrogen and a thermocouple with a large display showing the temperature at the top.
He then asked the audience, with a little direction, why the temperature of the thermocouple had decreased.
A lot of the audience said was "coldness" travelling from the cold cannon ball to the thermocouple mirroring the reason when the hot cannon ball was used.
The explanation that it was "heat" (infra red radiation) travelling from the thermocouple to the cold cannon ball which caused the thermocouple to cool as heat/energy was being removed from it, was met with some initial surprise but certainly made a lasting impression to the point that there is no such thing a "coldness" travelling from place to place.
He then went on to show that all bodies in the demonstrations had emitted infra red radiation but the higher the temperature of the body the more radiation it emitted and that what he had demonstrated was the direction of the net flow of such radiation.
The question looks like a wrong use of terminology. First we need to see what we mean by heat. The intrinsic kinetic energy of atoms is what we measure as temperature. Now the kinetic energy of atoms is something we intuitively understand. When we say heat is energy, what we actually mean is that a temperature gradient is what "creates" energy.
Of course, we cannot create energy, we can only convert it from one type to another. You can call it whatever you want, but if you want to power anything using heat, you basically convert the kinetic energy of atoms/molecules, to potential energy(battery).