Dear Sir,
Your statement: "Complexity is the sum total (plural) of Repeated simplicity" is the basis of number system as explained in our essay. However, it is not a monkey on the tree describing the full tree, but a defining characteristic - the quantitative aspect - that describes one aspect of Nature. The mathematical symbol в€ћ does not mean eternity. It only describes something which has no similars and whose dimensions (extent) are unknown. Geometry defines space-time through alternative symbolism - the shape of the objects and the interval between them.
Berkeley expressed the positivist identification of sense impressions with objective existence by the famous phrase "esse est percipi" (to be is to be perceived). But the complex numbers are not physical. Dimension is the perception of differentiation between internal structural space and external relational space of an object. Since we observe through electromagnetic radiation, where the electric field and the magnetic field move perpendicular to each other and both move perpendicular to the direction of motion, we have three mutually perpendicular dimensions representing length, breadth, height that are invariant under mutual transformation. However, even after failure of over a century to find extra-dimensions, most scientists cling to such fiction and its extensions like Hilbert space. How long can we continue with such superstition?
String theory is said to be a high order theory where other models, such as supergravity and quantum gravity appear as approximations. Unlike super-gravity, string theory is said to be a consistent and well-defined theory of quantum gravity, and therefore calculating the value of the cosmological constant from it should, at least in principle, be possible. On the other hand, the number of vacuum states associated with it seems to be quite large, and none of these features three large spatial dimensions, broken super-symmetry, and a small cosmological constant. The features of string theory which are at least potentially testable - such as the existence of super-symmetry and cosmic strings - are not specific to string theory. In addition, the features that are specific to string theory - the existence of strings - either do not lead to precise predictions or lead to predictions that are impossible to test with current levels of technology.
There are many unexplained questions relating to the strings. For example, given the measurement problem of quantum mechanics, what happens when a string is measured? Does the uncertainty principle apply to the whole string? Or does it apply only to some section of the string being measured? Does string theory modify the uncertainty principle? If we measure its position, do we get only the average position of the string? If the position of a string is measured with arbitrarily high accuracy, what happens to the momentum of the string? Does the momentum become undefined as opposed to simply unknown? What about the location of an end-point? If the measurement returns an end-point, then which end-point? Does the measurement return the position of some point along the string? (The string is said to be a Two dimensional object extended in space. Hence its position cannot be described by a finite set of numbers and thus, cannot be described by a finite set of measurements.) How do the Bell's inequalities apply to string theory? We must get answers to these questions first before we probe more and spend (waste!) more money in such research. These questions should not be put under the carpet as inconvenient or on the ground that some day we will find the answers.
Regards,
basudeba
