Quantum Gravity and String Theory

   

In Theory of Everything Simplicity Does Not Compete with Accuracy

Authors: Sylwester Kornowski

Can we guess the initial conditions for the Theory of Everything (ToE)? We understand such initial conditions as a set of all parameters, initial symmetries, and initial equations. Initial symmetries and initial equations can point possible phase transitions which can lead to additional symmetries and additional equations called here the additional conditions. Such additional conditions result from initial conditions so they do not decrease consistency of theory. On the other hand, appearing anomalies in a theory that cannot be explained within initial and additional conditions, always lead to new/free parameters. Free parameters need ad hoc hypotheses (i.e. some corrections that do not result from initial and additional conditions) which always weaken the theories. Elimination of ad-hoc/free parameters by increasing number of initial conditions causes Occam’s razor to be a determinant of the consistency of theories describing the same phenomena. The Occam’s razor is defined as follows: “Among competing hypotheses, the one with the fewest assumptions should be selected” [1]. It means that consistency of a theory can be defined as the inverse of the number which is the sum of all parameters, initial symmetries and initial equations (the sum of elements of the three different groups of initial conditions). New symmetries and new equations, which in a natural way appear on higher levels of ToE (the Standard Model (SM) and General Relativity (GR) are the higher levels of ToE), if we know the lowest levels of ToE, do not decrease the consistency of the theory. Authors of theories add the ad hoc hypotheses to prevent them from being falsified. Such non-scientific method causes that theories become more and more complex so their consistency is lower and lower. In physics, naturalness means that the dimensionless ratios between parameters take values of order 1. Parameters varying by many orders of magnitude need so called fine-tuning symmetries. It suggests that fine-tuned theories should be more complex i.e. their consistency should be lower. But Nature shows that it is the vice versa. It leads to conclusion that fine-tuned theories are closer to ToE. Here we guessed the initial conditions for ToE, we explained why consistency of presented here ToE is highest and why it is the fine-tuned theory. The consistency factor of presented here ToE is 1/(7+5+4)=0.0625 and it is the highest possible value for ToE-like theories. Consistency factor of SM is much lower so it is the incomplete theory sometimes leading to incorrect results.

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[v1] 2017-05-11 00:50:39

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