Sept 2009
As we have shown in The
Two Faces Of Zero and the accompanying blog
articles, our interpretation of the humble zero decides:
- Whether the laws of physics break down in singularities or not
- Whether worm-holes are possible or not
- Whether there is a need for renormalisation in physics
- Whether string theory is mathematically possible or impossible
Many of the Big Issues in physics are based around division by
zero. We commonly apply the rules of ordinal "real" numbers to
zero. This is ok when using zero as an ordinal
value, but not for physical quantities or any other non-ordinal use of
zero.
Using the "null" or "nothing" view of zero, all
these issues literally disappear as they are merely the result of a
mathematical error. Using the view that zero is not
a number, or the absence of any value, then 1 / 0 = 0. There is no
number to divide by, so the result is not a number.
We take it for granted that zero is always a number. We have been
trained to do so since childhood. However as we observe on the number
line, there are times we use it as a one-dimensional number and others
when we use it as a zero-dimensional number.
The rules for 0- and 1-dimensional values are not the same, just as the
rules for 2-dimensional values, such as (x, y) coordinates are not exactly
the same as for a 1-dimensional number. Some of the big problems in
physics arise from such simple misunderstandings and mathematical errors.
Regards,
AJ Corcoran
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