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Friday 13 May 2011

Are there other numbers?

What a mysterious marvel that the introductions, at various times in history, of special numbers have had so much affect on mathematics, science and technology. There was the number we call pi; a ratio between a circle's circumference and diameter. There was the natural logarithm number called 'e'. Then most revolutionary of all, perhaps, there is zero, '0', the space left by empty decimal digits turned into an entity in its own right. I remember a question I had as a teenager, What if there is still a crucial unknown number? What if that number too had a major impact on mathematics, science, technology, even theology, if we only knew it? I postulated it might be so small as to not be noticeable by its absence, yet once included in the equations of physics it could be the difference between order and disorder. I called it, for want of any particular name (since it is unknown to me, though perhaps not to God), the 'blob' factor. Maybe it would explain all sorts of things we find mysterious, such as why certain calculations, weather forecasts, etc fail. Soon we might find it and have to throw out our current models of the laws of physics and other scientific 'facts'. What might it tell us about the Universe? We always think we know it right now but then we always tell each other: "They thought they knew it all back then and they didn't". Maybe most of what we think we know is stuff we will one day throw out as erroneous, silly and inaccurate, just as we do with old-fashioned ideas from yesterday. Today's science is tomorrow's nonsense, n'est-ce pas. In other words, I feel that today scientists exert effort and resources and make many sacrifices in producing mistakes which get called facts until they get called mistakes. Even dogma centuries old gets proven false eventually. What is happening is that as the better knowledge comes the lesser knowledge is discarded. "But some things remain: faith, hope and love - and the greatest of these is love." (Paul the Apostle of Christ, 1st Century AD).