Zero - Dimension Singularity

 

We try to close our eyes on those mathematical answers that we dislike. We normalize (discard) the unfavorable results. We have been selective and biased. Denying zeros and infinities just adds to our uncertainty and confusion. Maybe the time has come to revisit the issue.

Space-time settlers cannot imagine a point with no-dimension. The classical mechanics view motivates the string theorists to assume wrapped and out of site dimensions to accommodate a sensible space-time thing. Above I suggested that we are exposed to singularity wherever there is no dimension (inside Planck Length and beyond the boundaries of universe). In twilight zone of boundaries the quantum leap is the constant communication between space-time universe and singularity. In this view we do not need to assume dimensions being tangible or hidden in order to explain some of the extraordinary physical findings.

In 1960s Stephen Hawking and Roger Penrose introduced the Singularity Theorem which showed that a Ricci flat extra space evolved in time has to be singular. This also includes the (9+1) dimensional space-time proposed by super string theory. Interestingly the time needed for compact extra dimension to turn to singularity is at Planck time of 10 ^-43s. Mind you that in my model space is four-dimensional (3-space + 1-time) and is discrete at the Planck distance and time level.

In his recent book, The Road to Reality, Roger Penrose writes:

“If we wish to…obtain a non-singular perturbation of the full (1+9)-space… then we must consider disturbances that significantly spill over into…space-time as well. But in certain respects such disturbances are even more dangerous to our ordinary picture of space-time… (Which) is in gross conflict with observation” ⁵⁶.

 

Surprisingly, in the supersymmetric string theory some forces have infinite range. Infinity is the amount that I attributed to the energy and information in the proposed singularity. In addition, Since the space and its dimensions and assumed extra-dimensions are unstable, collapse to singularity is an unavoidable consequence.

 

Please note that, no-dimension provides ultimate freedom and fulfills adherence to observations. We just need to free ourselves of the notion of space and time and imagine a no-space-time zone. To me the assumption of one dimensional string particle (extension of mass proper to unseen extra dimensions) and suggesting the existence of a super-space (which is still a space-like entity) beyond the familiar space-time is the frantic attempt of cliff settlers to keep their ground and not to cross the border to unknown. Maybe we have to assume that the entity beyond the boundaries of space-time is not space-like and has no dimension. Maybe we'd better off postulate that mass beyond space time can convert to something else (energy in this model). By involving a non space-time element (singularity), this model is background independent.

 

Conclusion

 

Can we claim that by utilizing the long string of assumptions string theorists have been successful, to describe the physical reality? Not quite.

 

String theory is background dependant. It means that it is built within space-time fabric. Modern findings subject the fundamental elements of Newtonian physics under question. The concrete back ground space of classical level has been changed to malleable and flimsy space of the special theory of relativity. Quantum entanglement and Bose-Einstein condensate furthers the speculation up to complete denial of space and suggests the non-locality as a fundamental feature. In Q2C Festival, Oct. 2009 Neil Turok from the Perimeter institute announced that mathematical tools suggest that in some situations space may be an illusion. He reasoned that one can describe a three dimensional object in a two dimensional quantum picture.