ON PATTERNS IN NATURE

 It is assumed Every single entity  in universe exhibit some type of symmetry with respect to space-time itself. It simply means that the particle must exhibit symmetry wrt time (by executing some kind
of periodicity),or wrt  space or both.
Note here that i am not talking about symetry of some particle with a collection of particles but wrt
space-time itself.

The greatest difficulty in this approach to patternisation is that in primitive approach at first we try to find a pattern in a set of entities and then we try to see whether  new entity obeys the pattern or not. The primitive approach leads to anomalies and exceptions when a given element  don't obey the general pattern.
TO overcome this problem , a system may be set as follows:
Rather than finding some pattern in a  set given, we assume that each element of set obeys a pattern
wrt space-time and we try to find a function F(x,y,z,t) of that particle.
Now, assume a fxn
H(x,y,z,t) = F(x,y,z,t) +                               {d(Fx,y,z,t)/dx + d(Fx,y,z,t)/dy + d(Fx,y,z,t)/dz +              d(Fx,y,z,t)/dt}
                   +{ d(Fx,y,z,t)/dxdy +  d(Fx,y,z,t)/dydz + d(Fx,y,z,t)/dzdt + d(Fx,y,z,t)/dxdt }
                   + {d(Fx,y,z,t)/dxdydz + d(Fx,y,z,t)/dydzdt +d(Fx,y,z,t)/dtdxdy }
                   + d(Fx,y,z,t)/dx dydzdt

now if H(x,y,z,t)  of different elements constituting a set obeys some pattern, the  system can be considered
to be consistent wrt symetry.
One more advantage of this approach is that we can predict which new elements can be included in the set and when and how they will be encountered.