LnRiLWZpZWxke21hcmdpbi1ib3R0b206MC43NmVtfS50Yi1maWVsZC0tbGVmdHt0ZXh0LWFsaWduOmxlZnR9LnRiLWZpZWxkLS1jZW50ZXJ7dGV4dC1hbGlnbjpjZW50ZXJ9LnRiLWZpZWxkLS1yaWdodHt0ZXh0LWFsaWduOnJpZ2h0fS50Yi1maWVsZF9fc2t5cGVfcHJldmlld3twYWRkaW5nOjEwcHggMjBweDtib3JkZXItcmFkaXVzOjNweDtjb2xvcjojZmZmO2JhY2tncm91bmQ6IzAwYWZlZTtkaXNwbGF5OmlubGluZS1ibG9ja311bC5nbGlkZV9fc2xpZGVze21hcmdpbjowfQ==
.tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="8c354aaf49fa9db55d2aefb7378db71b"] { padding: 25px;margin-left: 15%; } .tb-field[data-toolset-blocks-field="4a6a9e403169f74132787d3fb643732d"] { padding-top: 0px;margin-top: -25px;margin-left: 10%; } .tb-field[data-toolset-blocks-field="4a6a9e403169f74132787d3fb643732d"] a { text-decoration: none; }  .tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="1ccf446f814da40b5134146d14bd5441"] { padding: 25px 10px 25px 10px;margin-right: 10%;margin-left: 10%; } .tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"] { grid-template-columns: minmax(0, 0.3fr) minmax(0, 0.7fr);grid-auto-flow: row } .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"] > .tb-grid-column:nth-of-type(2n + 1) { grid-column: 1 } .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"] > .tb-grid-column:nth-of-type(2n + 2) { grid-column: 2 } .wp-block-toolset-blocks-grid-column.tb-grid-column[data-toolset-blocks-grid-column="3034fbe886c11054e95b46b09d3e4112"] { display: flex; } .tb-image{position:relative;transition:transform 0.25s ease}.wp-block-image .tb-image.aligncenter{margin-left:auto;margin-right:auto}.tb-image img{max-width:100%;height:auto;width:auto;transition:transform 0.25s ease}.tb-image .tb-image-caption-fit-to-image{display:table}.tb-image .tb-image-caption-fit-to-image .tb-image-caption{display:table-caption;caption-side:bottom} .wp-block-image.tb-image[data-toolset-blocks-image="591b0abd96b8ca07b3987b999d70ae61"] { max-width: 100%; } .tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="d4ab871f19d18e47e7bd7432c1d48c59"] { padding: 0px;margin: 25px 50px 0px 50px; } .tb-field[data-toolset-blocks-field="f0e4399a05938cc31e7e9ed961673dac"] { text-align: left;margin-left: 7%; } .tb-field[data-toolset-blocks-field="f0e4399a05938cc31e7e9ed961673dac"] a { text-decoration: none; }  .tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="ece57a00bb433e0e28a981b43470693a"] { border-radius: 4px;background: rgba( 230, 230, 230, 1 );padding: 25px;margin: 45px 10% 25px 10%;border: 2px solid rgba( 0, 0, 0, 1 ); } @media only screen and (max-width: 799px) { .tb-container .tb-container-inner{width:100%;margin:0 auto}.tb-field[data-toolset-blocks-field="4a6a9e403169f74132787d3fb643732d"] a { text-decoration: none; }  .tb-container .tb-container-inner{width:100%;margin:0 auto}.tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"] { grid-template-columns: minmax(0, 0.5fr) minmax(0, 0.5fr);grid-auto-flow: row } .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"] > .tb-grid-column:nth-of-type(2n + 1) { grid-column: 1 } .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"] > .tb-grid-column:nth-of-type(2n + 2) { grid-column: 2 } .wp-block-toolset-blocks-grid-column.tb-grid-column[data-toolset-blocks-grid-column="3034fbe886c11054e95b46b09d3e4112"] { display: flex; } .tb-image{position:relative;transition:transform 0.25s ease}.wp-block-image .tb-image.aligncenter{margin-left:auto;margin-right:auto}.tb-image img{max-width:100%;height:auto;width:auto;transition:transform 0.25s ease}.tb-image .tb-image-caption-fit-to-image{display:table}.tb-image .tb-image-caption-fit-to-image .tb-image-caption{display:table-caption;caption-side:bottom}.tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="d4ab871f19d18e47e7bd7432c1d48c59"] { padding: 0px;margin: -15px 0px 0px 0px; } .tb-field[data-toolset-blocks-field="f0e4399a05938cc31e7e9ed961673dac"] a { text-decoration: none; }  .tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="ece57a00bb433e0e28a981b43470693a"] { padding: 10px;margin: 0px 0px 20px 0px; }  } @media only screen and (max-width: 599px) { .tb-container .tb-container-inner{width:100%;margin:0 auto}.tb-field[data-toolset-blocks-field="4a6a9e403169f74132787d3fb643732d"] a { text-decoration: none; }  .tb-container .tb-container-inner{width:100%;margin:0 auto}.tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"] { grid-template-columns: minmax(0, 1fr);grid-auto-flow: row } .wp-block-toolset-blocks-grid.tb-grid[data-toolset-blocks-grid="831a831d5e3ca62c2a1c625d88635883"]  > .tb-grid-column:nth-of-type(1n+1) { grid-column: 1 } .wp-block-toolset-blocks-grid-column.tb-grid-column[data-toolset-blocks-grid-column="3034fbe886c11054e95b46b09d3e4112"] { display: flex; } .tb-image{position:relative;transition:transform 0.25s ease}.wp-block-image .tb-image.aligncenter{margin-left:auto;margin-right:auto}.tb-image img{max-width:100%;height:auto;width:auto;transition:transform 0.25s ease}.tb-image .tb-image-caption-fit-to-image{display:table}.tb-image .tb-image-caption-fit-to-image .tb-image-caption{display:table-caption;caption-side:bottom}.tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="d4ab871f19d18e47e7bd7432c1d48c59"] { padding: 0px;margin: -15px 0px 0px 0px; } .tb-field[data-toolset-blocks-field="f0e4399a05938cc31e7e9ed961673dac"] a { text-decoration: none; }  .tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="ece57a00bb433e0e28a981b43470693a"] { padding: 10px;margin: 0px 0px 20px 0px; }  } 
This content was posted on 22 Mar 23 by Eric Weinstein on Twitter
Perhaps one simple thing I might add is that only with one temporal dimension do …
Perhaps one simple thing I might add is that only with one temporal dimension do boundary conditions become initial conditions. Boundary conditions are more general and Ultra Hyperbolic equations can be defined so that Hyperbolic relativistic equations are a quirky special case.
Tagged with :