Concept of space is so crucial to human beings. We need abstract spaces to satisfy our intellectual needs and nebulous spaces to satisfy our emotional needs and physical spaces to satisfy our need to accommodate everything that we come across. When we have plenty of space in supply, we space out the all that we need to keep in space and when we have more things to be accommodated, we squeeze out space from the available space through compacting.
In mathematics, a space is a set whose members satisfy some defined structure. And, there are many types of mathematical spaces like (arranged alphabetically) Affine Space, Baire Space, Banach Space, Base Space, Bergman Space, Besov Space, Borel Space, Calabi-Yau Space, Cellular Space, Chu Space, Dimension, Dodecahedral Space, Drinfeld's Symmetric Space, Eilenberg-Mac Lane Space, Euclidean Space, Fiber Space, Finsler Space, First-Countable Space, Fréchet Space, Function Space, G-Space, Green Space, Hausdorff Space, Heisenberg Space, Hilbert Space, Hyperbolic Space, Inner Product Space, L2-Space, Lens Space, Line Space, Linear Space, Liouville Space, Locally Convex Space, Locally Finite Space, Loop Space, Mapping Space, Measure Space, Metric Space, Minkowski Space, Müntz Space, Non-Euclidean Spaces, Normed Space, Paracompact Space, Planar Space, Polish Space, Probability Space, Projective Space, Quotient Space, Riemann's Moduli Space, Riemann Space, Sample Space, Standard Space, State Space, Stone Space, Symplectic Space, Teichmüller Space, Tensor Space, Topological Space, Topological Vector Space, Total Space, Vector Space . Topological spaces are the most general type of spaces, while the most familiar and popular space in everyday life is the Euclidean space: we all started with Euclidean geometry and in Einstein's theory of Special Relativity, Euclidean three-space plus time are unified into the so-called Minkowski space. The supply of newer mathematical spaces however cannot meet the ever-growing demand for physical and emotional spaces.
Every moment is in search for space. The growing human population needs more space to live more prosperous and quality life. The endangered species need space. Houses need more living, dinning and partying space. Cars need more communication space as well as parking space. The women needs space as much to the men. The children need space. Computers need more disk space. Data storage and transmission need infinite cyberspace. Human mind needs space to explore and work out the shape of space and reach the edges of space if any. Matter occupies space. The balloon expands in space. Light travels and radiates in space. Energy fills space. Fields needs space to work on. The stars and planets are in the space and the galaxies have space within the formations as well between any two of them. Even invisible energy and matter occupy space. Space seems to get filled in with something or the other, so there is no empty space that remains to be occupied. So, space has to expand itself to keep the Universe going.
Is that why the Cosmic Myth 2011 AD (Big Bang, Big Crunch etc) provides for creation and expansion/ contraction of space depending on the emerging requirement for space? It says that Space, matter, energy and time arose out of the continuous inflation of the dimension-less primordial point of maximum density energy with high pressure and temperature that appeared from no where suddenly 14 billion human years ago to begin the journey of the Universe. This myth does not explain how that point came about and where did it appear to exist? Scientific could go so far back only as for Science this was the beginning. Of course, the Big Crunch helps to explain that the primordial infinitesimal, dimension-less point of concentrated energy is not primordial but the result of cosmic contraction. But that does not help answer the question from where did this energy come from: it is just like the Cosmic Myth @ 200 BC not explaining when and how the Consciousness come from. Well, there are two ways to deal with that. First, just as God has been there as Consciousness all the time as Self created / Sayambhu, the same property applies to Energy that moves from the State of maximum possible density to the State of minimum possible density (cosmic inflation) and then back to maximum density (through cosmic deflation) phase. Second, if there are continuous cycles of alternating contraction and expansion phases, there is no need to ask where and when did it all begin. Just as the Hindus know that God has been in existence for ever without a beginning and end.
In the cosmic inflation phase, energy density continually decreases, even as part of the energy converts itself into matter and matter converts itself into energy, creating more and ore space in the process. It is tautological: energy density is defined as amount of energy per unit of space: increase / decrease in energy density implies that space must expand/ contract at a faster rate than expansion/ contraction of energy. Thus, the Universe is essentially defined by Energy and its properties - matter and space are mere derivatives/ consequence of the properties of energy.
And, energy loses density to create space. And, the space in the Universe is expanding. Between ant two galaxies, the amount of space is expanding. And, this is how currently the Universe is expanding in size. The balloon expands in space, but in what does the space or the Universe expand? Either we assume that expansion or contraction of space is a mere illusion or assume that expansion of space creates its own required space. Both are interesting concepts but not very appealing without proof.
There is still another alternative. The total energy of the Universe in its most concentrated form exists in an infinite, end-less, indestructible, unperturbed, non-expandable, non-contractible, non-tearing, non-breakable, seamless, transparent, color-less, all-pervasive and medium, named, say, Illusionnet (MayaJaal) or Netillude. Space and the Universe expand and contracts in that Illiusionnet. What does that illusion contain: it contains all that is there in the space including spaces that energy, matter, fields, time and strings that occupy as also spaces that are free of matter, energy, fields, time and strings, etc. It is like the 200 BC mythological concept of Narayana which is present in each and everything with complete density and in which each and everything exists. It is the only concept that allows for existence of the same particle to be present simultaneously at different locations and time. All spaces, whetheroccupied/ tainted by any physical component/ matter/ energy/ field or not, may have to lie in some domain like Narayana or Neillude.
Let's forget for the present such illusive concepts as Narayana or Netilude. Let's be comortable with the idea that the space between any two galaxies are expanding. Two issues need to be addressed. First, if the space is expanding, it must be doing so because the invisible/ visible energy content in those parts of the space must still be becoming less dense. Where is this energy or matter going? Crossing over to fall inside the boundaries of the galaxies and their graviational fields? When would the space between galxies become completely bereft f any matter or energy or anything else? And, when it does hppen, what would happen to that empty spce? Will it collapse or become static. This would mean the distances between galaxies would tereafter stop increasing.
Second, if the distances between galaxies are expanding, then some galaxies would have already gone out of our Milkyway glaxies and those nearby. And, may be some galaxies may have gone out of the horion of the galaxies that are at the edge of our Horizon. Wht is happenning to those galaxies that have gone out of the horion of the end of our horizon? What is the position of the set of galaxies beyong the horizon of the infinite horizons? Are there spaces beyond them? The edge of the infinite Universe brdered by galaxies or empty spaces? (does the natural number system end with an odd or even number? being infinite, the question does ot arise, since the series of natural numbers cannot not ever have an end point?)
Is the concept of Space up for a grand deconceptualisation and reconceptualisation?
No comments:
Post a Comment