Color Confinement and Spatial Dimensions in the Complex-Sedenion Space

Sedenion multiplication table (<svg height="14.2693pt" id="M1636" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.7403 15.258 14.2693" width="15.258pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M338 0V35C263 42 255 49 255 133V516C255 602 263 608 338 615V650H37V615C112 608 121 602 121 516V133C121 49 112 42 37 35V0H338Z" id="g13-71"></path><glyph.data ascent="1024" descent="-360" horiz-adv-x="378" vert-adv-y="378"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,4.914,3.132)"><path d="M554 433L549 437C539 437 513 441 503 443C481 447 456 451 436 451C354 451 268 415 216 368C150 308 99 205 99 106C99 24 136 -12 165 -12C196 -12 243 14 268 33C318 70 374 118 415 181H419L395 39C374 -84 332 -149 295 -175C269 -193 245 -197 212 -197C137 -197 93 -156 76 -102C71 -87 61 -87 51 -96C36 -110 24 -130 24 -147C24 -183 76 -257 171 -257C226 -257 285 -227 323 -200C387 -155 455 -76 480 94C499 225 538 391 554 433ZM460 386C457 361 438 287 426 254C408 218 373 176 332 133C294 93 246 61 217 61C198 61 186 80 186 122C186 167 206 250 231 294C262 349 288 375 317 387C334 394 358 400 381 400C413 400 439 393 460 386Z" id="g50-104"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="578" vert-adv-y="578"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,10.175,3.132)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg> = 1).

Advances in Mathematical Physics

tab8

Table 8

Table 8: Color Confinement and Spatial Dimensions in the Complex-Sedenion Space 