Quasi-Infinity – As Close as We Can Get to Infinity

 

 

Quasi-Infinity is a state where there can exist no complete infinity, but finite limits of one or more properties of an observed continuum cannot be mathematically or logically described.

The lemniscate (∞) is a linear and mathematically workable symbol for ‘quasi-infinity’; infinity as it can be “seen and worked” from our linear point-of-view. A singular feature of quasi-infinity is that every time mathematicians seem to work out a finite property for the ∞ problem they are working on, they discover a newer, bigger ∞ that defies them beyond that which has been defined.

Why is this important to us? We ask questions like, “Is time infinite?” or “Is space infinite?” The answer to both questions is, “As infinite as it needs to be, for our purposes.” This is the reality of a quasi-infinite continuum.

Example: Our physical space extends well beyond what we conceive of as the known universe; there is no evidence for a ‘hard’ cosmic container that we know of. If space-time goes out further than any matter or energy that we can define, it is, to our point of observation, without end. Four-dimensional space-time, lacking any definable ‘end’, is by definition quasi-infinite (∞).

Because we can define matter and energy within space-time, the underlying fabric, the continuum which acts as the ‘container’ of space-time, has exhibited the quality of divisibility. Remember that infinity can’t be divided. This is why ∞, quasi-infinity, as a concept, is so very important to us and our understanding of the universe we live in.

Within our physical universe, we follow the rules of temporality, a time line which is defined by a point we call, “now”; a memory of a series of ‘nows’ that have been called, “past” and another series of ‘nows’ yet to be experienced called, “future”. A present moving from past to future is a linear progression of time, something we are all intimately familiar with.

Space is quasi-infinite; so too is time as we know it. We have no workable ‘ends’ where we can say, “this is where linear time starts or stops.” Energy, like light or any other electro-magnetic phenomena, is finite. We observe energetic quanta, we observe a start and an end point experimentally for these things. Matter is finite.  We define a mass and pressure for a particle (fermion); and as far as Heisenberg’s uncertainty allows us, we do our best to also define a position and velocity for that particle.

Because our space-time is observed to contain matter and energy, it is not infinite, but is quasi-infinite. The reason for this being so important will become very apparent when we discuss the principles of QTD.

Our next conceptual stop is examining the nature of Probability and Potential.

  • RFB

    Very interesting, however isn’t it solely based on the currently observable universe and on the assumption of four dimensional space-time? Would it be plausible that the matter in our universe is, instead of expanding in a linear way to quasi-infinity, “trapped” inside another dimension which loops the observable space-time back onto itself? Not in terms of a gravitational collapse but in terms of a disintegration into energy. On a side note, it might also explain why the expansion of the universe is perceived as accelerating within the confinement of four dimensions but from a hypothetical outside view from a sixth dimension it would look like a constant loop of a fifth dimension.

    It seems plausible to me that it might actually be a physical law that everything can only be finite and non-zero. The universe as a finite, non-linear, endless loop with no beginning and no end.

    This way, the old question of “creation” could be laid to rest since everything is always there, just in different states over time.

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