1
00:00:03,590 --> 00:00:01,969
stocktonianic approach is an alternative

2
00:00:05,390 --> 00:00:03,600
to the string theory which solves

3
00:00:07,130 --> 00:00:05,400
quantum gravity or potentially does the

4
00:00:08,990 --> 00:00:07,140
octonians are non-associative

5
00:00:11,209 --> 00:00:09,000
eight-dimensional extension of the real

6
00:00:13,370 --> 00:00:11,219
numbers complex numbers and quaternions

7
00:00:14,930 --> 00:00:13,380
the multiplication of octonians is

8
00:00:16,970 --> 00:00:14,940
non-commutative and non-associative

9
00:00:18,890 --> 00:00:16,980
however they exhibit exceptional

10
00:00:20,810 --> 00:00:18,900
algebraic and geometric symmetries that

11
00:00:22,790 --> 00:00:20,820
make them a fascinating and useful tool

12
00:00:24,769 --> 00:00:22,800
in various areas of mathematics and

13
00:00:26,450 --> 00:00:24,779
physics Arnold Summerfield used the

14
00:00:28,609 --> 00:00:26,460
octonians to describe the symmetries of

15
00:00:30,290 --> 00:00:28,619
the hydrogen atom later Jeffrey Chu used

16
00:00:32,210 --> 00:00:30,300
the octonia to develop a theory of

17
00:00:34,430 --> 00:00:32,220
Elementary particles based on the idea

18
00:00:35,930 --> 00:00:34,440
of a nuclear democracy in which all

19
00:00:37,910 --> 00:00:35,940
particles are on quote unquote equal

20
00:00:40,010 --> 00:00:37,920
footing more recently the octonials have

21
00:00:41,630 --> 00:00:40,020
been used in string theory and M Theory

22
00:00:43,430 --> 00:00:41,640
where they appear in the context of

23
00:00:45,590 --> 00:00:43,440
exceptional structures that describe the

24
00:00:46,670 --> 00:00:45,600
Dynamics of supergravity the octonians

25
00:00:48,229 --> 00:00:46,680
have proven to be a powerful

26
00:00:50,389 --> 00:00:48,239
mathematical tool with surprising and

27
00:00:52,130 --> 00:00:50,399
revolutionary applications in physics it

28
00:00:54,770 --> 00:00:52,140
could well be that a non-commutative

29
00:00:56,389 --> 00:00:54,780
geometry based on the octonians is the

30
00:00:57,889 --> 00:00:56,399
successor of the pseudo-ramanian