Continuing from (1):
May call the EXCHANGE OF STATES available between for example: state A and state B for the system: 'A, B states of C'; where you swap (JUMP) A with B;
as : "musical chairs game one".
May call the EXCHANGE OF LEVELS; for example: "B state of A" to "'A' state of 'B'"
where the "B" changes (JUMPS) from the 'state' level (of an object 'A'); to being at the object level (so now 'B' is an object with a state 'A')
as: "musical chairs game two".
May call a MIXED EXCHANGE of levels and states;
for example: B, C are states of 'A' becomes (JUMPS) to C, A are states of B where B and A changed levels and states, and C changed just states; as: "musical chairs game three".
Game 1 is the difference between a game 2 and a game 3.
Game 2 is the difference between a game 1 and a game 3.
Game 3 is the difference between a game 1 and a game 2.
Now consider two objects in this quantised, relativistic, inter-dimensional 'space':
Consider that object ABC can be "A, B as states of C" or "B,C states of A" etc. and can EXCHANGE via musical chairs games 1,2,3 with object YPR (which itself can be Y,P states of R, or Y,R states of P etc.). So you can get many possibilities like eg. "C,P states of A".
Interesting to bear in mind the exchange of photons etc. and quantum states.
Here one can list the possibilities for two objects interacting:
Object ABC (mentioned above); and object YPR.
Full List of options:
ABC, ABY, ABP, ABR; ACB, ACY, ACP, ACR; AYB, AYC, AYP, AYR; APB, APC, APY, APR; ARB, ARC, ARY, ARP.
This is 'group one' made of five sub-groups (the AB, the AC, the AY, the AP, and the AR subgroups).
BCA, BCP, BCY, BCR; BAC, BAP, BAY, BAR; BYA, BYC, BYP, BYR; BPA, BPC, BPY, BPR; BRA, BRC, BRY, BRP.
This group is also made of five subgroups (the BC, BA, BY, BP, and the BR subgroups).
CBA, CBP, CBY, CBR; CAB, CAY, CAP, CAR; CYA, CYB, CYP, CYR; CPA, CPB, CPY, CPR; CRA, CRB, CRY, CRP.
Again, made of five subgroups (the CB, CA, CY, CP, and CR subgroups).
YAB, YAC, YAP, YAR; YBA, YBC, YBP, YBR: YCA, YCB, YCP, YCR: YPA, YPB, YPC, YPR; YRA, YRB, YRC, YRP.
Five subgroups: YA, YB, YC, YP, and YR
PAB, PAC, PAY, PAR; PBA, PBC, PBY, PBR; PCA, PCB, PCY, PCR; PYA, PYB, PYC, PYR; PRA, PRB, PRC, PRY.
Five subgroups: PA, PB, PC, PY, PR
RAB, RAC, RAY, RAP; RBA, RBC, RBY, RBP; RCA, RCB, RCY, RCP; RYA, RYB, RYC, RYP; RPA, RPB, RPC, RPY.
Five subgroups: RA, RB, RC, RY, and RP.
So SIX GROUPS (columns in a table) that can be listed in FIVE GROUPS-AT-RIGHT-ANGLES (rows in a table). Other ways of formulating the above too.
Now, I found all kinds of patterns including six 10-groups where in a 10-group (like 10-D string?)
the first two states only occur once per group as two states of that item.
more to come