A few conceptual illustrations. A photon (a "particle" of light) that is emitted from a point in space with minimum gravitational potential (an infinite distance from any mass), will gain energy as it travels toward a massive object relative to the energy measured at its origin. This is commonly known as gravitational blueshift. If a photon is emitted from a massive object and travels to an infinite distance from any mass, the photon will lose energy relative to what it was when emitted. This is commonly known as gravitational redshift.
If a clock is an infinite distance from a massive object, the clock will run faster than any other clock that is closer to the massive object. The farther away from the massive object, the faster the clock runs.
Imagine for a moment, a battery that delivers a steady 9 volts. If this battery is among many other batteries that deliver 9 volts, it would power a light with the same illumination as all of its counterparts. Now if our 9 volt battery had the ability to move to a new location where the batteries all delivered 6 volts, the outcome would be different. The 9 volt battery's illumination would be brighter than its counterparts 6 volt illumination. And should our 9 volt batter move to an area of all 1 volt batteries, its illumination would be most brilliant compared to its 1 volt counterparts. Does this illustration not sound like the gravitational blueshift of a photon as it moves deeper into a gravitational potential?
Consider the reverse process. A 1 volt battery among other 1 volt battery will illuminate a light equally. But when the 1 volt is moved to a group of batteries that are of higher voltage, its illumination will diminish compared to its counterparts. This scenario behaves in the same manner as gravitational redshift of a photon when it leaves a gravitational potential.
Next, consider an electric motor instead of a light in the previous example. When the motor is powered by a 9 volt battery, it runs faster than when it is powered by a 1 volt battery. If this motor ran a clock, the clock would run at its maximum in the 9 volt region and slower in all regions with less than a 9 volt battery. In other words, as the battery is "drained" the clock would run slower.
This conceptual idea is the governing hypothesis of a copper top continuum. Space provides power and mass drains the power. The less mass, the less the drain, and higher the power available for clocks to run and lights to illuminate. The more mass, the more the drain, and lower the power available for clocks to run and lights to illuminate.