BREAKING: New Phase of Matter

I think once you repeat time in 3-dimensional form into a 4th-dimensional form called time you would actually be forming different dimensions repeating altogether rather than the same time in 3 ways now you would be dealing with 3-way time repeating in a larger 4th dimension called time which would create dimensions of time.  Each is unique in and of itself repeating in 3-dimensions.  Time is 4th dimension.  Now you have time within time.  That is where I think there would be different dimensions of time created as there are repeats of 3 into a 4th dimension called time.  Time within time.  Then you would be everywhere in all dimensions and not everywhere in all dimensions all at the same time or times.

I think there is like you say, time crystals, but I also think there are times crystal and then multiple crystals of times.  Times crystals.
I believe a time crystal would really be a times crystals consisting of dimensions.  Note the plural.  No longer one dimension repeated into repeats of 3 which would give you time, the 4th dimension.  Time within time, the 4th dimension of time of times would create different dimensions that you could slice into 3s.
I also believe times crystals exist and not exist at the same moments.

If you truly have a multiple dimensionals crystals, 

(Yes, I worded it that way on purpose as I believe it is true.) (Do crystals not have crystalline structures which make up larger crystalline structures which then make up the larger crystal, which is only limited by the given size of which you are working or is limited by the given physics in the given dimension?  Now you would have a 4th dimension which is time itself and that is made up of repeats of 3 times which makes 3 dimensional form. 

the structures that make up the dimensionals crystals (or rather dimensionals times or moments) would be unpredictable and predictable because every way a human could come up with and not come up with would be present in terms of "atomic structure" which times crystals are not made of "atomic structures" but of moments of times of moments of time 
which would be multifaceted and infinite 
and each moments would be multi-dimensional. 

All possibilities would have to be present and not present at the same moment of moments in times and in all dimensions in those times to really make it work or exist and not exist.  Time is relative in a given dimension.  Time must be relative in each times in the "moments in times" because you would have to be dealing with relative times in dimensions.

This things (times crystals) you are trying to measure or see cannot and can exist all at the same "time" = "moment" of moments in all dimensions at the given "moment" within the dimension you are in to actually record or measure or prove those times crystals really do exist and not exist.

Can multi-dimensions exist in a single dimension in which you exist?

As far as physics goes, physics of physics is relative to its given dimension and dimensions which would be physics of physics when referring to dimensions.  Therefore although physics exists in one kind of dimension, physics of physics exists in its own way by the given dimensions or limited by those dimensions you are working with.  There is a limit to physics if you are in or stay in one dimension but no limit to physics when working with dimensions which you would have to be doing if a times crystals could be measured to prove it exists and does not exist all at the same times.  

A times crystals would have multiple physics present at the same times or moments in times.  A times crystals would have multiple dimensions and multiple physics and multiple moments and you would have to coordinate all of the infinite moments at the same moment to record it or see it or measure it.  And then it would and would not be able to be measured all at the same time or given moment of moments.

What I question is the 3 dimensions repeating in time.  Then it would be 3 dimensions of repeating dimensions in infanate times in multiple dimensions to have a times crystals.

*Now I realized you were working with particles and not time as the particles so NEVER MIND!