[ron123456 (OP)]

When a tightened balloon expands above a heat source, do the interior furthersome molecules closer to the balloon surface expand more:at a faster accelerated rate,  compared to the molecules deep within the balloon? Perhaps dark energy (empty space's repulsive force) is generated exterior to the universe despite the interior's missing mass within?

[Bored chemist]

Why is Dark Energy considered only internal to the Universe?
Because the word "universe" means everything, and there isn't anything external to  that

[Bill S]

Yet again, we run into the problem of definition. Multiverse theories must conflict with your definition, and although I would content that your definition is correct, common usage must admit others.  This is why I tend to favour the "Universe, universe, cosmos" usage.  There will always be nit-pickers who find fault with this, but it does obviate some potential confusion. 

[Bill S]

do the interior furthersome molecules closer to the balloon surface expand more:at a faster accelerated rate,  compared to the molecules deep within the balloon?

Definition again.  What do you mean by expanding “at a faster accelerated rate”?  Do you mean faster and/or with greater acceleration relative to molecules in different positions; or do you mean relative to the amount of heat energy each receives? 

[ron123456 (OP)]

I will attempt to move this post to "New Theories" forum in a couple of days for further discussion...Yes, I was talking a string theory multiverse.

[Kryptid]

When a tightened balloon expands above a heat source, do the interior furthersome molecules closer to the balloon surface expand more:at a faster accelerated rate,  compared to the molecules deep within the balloon?

The air in the balloon closest to the heat source will warm fastest.

[ron123456 (OP)]

…..ah!...leaving this post here as opposed to New Theories...… What I was trying to express, is that the other universes of a multiverse, may have a greater external attractive influence on our universe's accelerated expansion than our universe's repulsive inflation's influence itself....