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@arsenovic
Created October 23, 2020 14:49
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Spacetime Wave Mechanics with Helices\n",
"\n",
"### intro\n",
"The hestenes-zitter model of the electron has the electron as a point charge CC moving along a tangentionaly light-like helix in spacetime [cite]. By this we mean that the tangent vector of the path is restricted to lay on a null cone at all times. This fact alone constrains the helical path by relating its radius to the pitch through its curvature. \n",
"\n",
"We postulate that it would be a good idea to do whatever is necessary mathematically to treat the helix as basic, fundamental shape, much like a sinusoid is treated in Fourier analysis. To achieve this we use the operator-based screw theory, also developed by hestenes[cite]. The operator approach is applied to spacetime to represent a 'wave function' as a helix, and it's associated transformations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Current problems\n",
"Usually the helix path is given as a *parametric equation* for a helix in 4D, like \n",
"$$\n",
"f_x = e^{x\\cdot p \\, S }f\n",
"$$\n",
"\n",
"Where \n",
"* $x$ is a independent vector giving a 'position of evaluation'\n",
"* $p$ is propagation vector\n",
"* $S$ is the spin bivector, and \n",
"* $f$ is some thing that spins (like the points initial position)\n",
"\n",
"\n",
"One problem with using a parametric equation is that this mixes independent ($x$) and dependent variables ($p,S$). Another problem is that the equation is not an object, so its not easy to transform. Using an operator approach solves both these problems. \n",
"\n",
"First we look at how to illustrate this with `clifford` and see some projections onto $\\gamma_{123}$ and $\\gamma_{120}$. (Note in our code we use $e$ for the basis instead of $\\gamma$, but dont worry about it. )\n",
"\n",
"We use conventions: \n",
"* $\\gamma_0^2 = -\\gamma_i^2 = 1$\n",
"* $i \\equiv \\gamma_{123}$, space\n",
"* $j \\equiv \\gamma_{120}$ , \n",
"* $I \\equiv \\gamma_{0123}$, spacetime"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"code_folding": [
16,
20
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"scrolled": true
},
"outputs": [
{
"data": {
"application/javascript": [
"/* Put everything inside the global mpl namespace */\n",
"/* global mpl */\n",
"window.mpl = {};\n",
"\n",
"mpl.get_websocket_type = function () {\n",
" if (typeof WebSocket !== 'undefined') {\n",
" return WebSocket;\n",
" } else if (typeof MozWebSocket !== 'undefined') {\n",
" return MozWebSocket;\n",
" } else {\n",
" alert(\n",
" 'Your browser does not have WebSocket support. ' +\n",
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
" 'Firefox 4 and 5 are also supported but you ' +\n",
" 'have to enable WebSockets in about:config.'\n",
" );\n",
" }\n",
"};\n",
"\n",
"mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
" this.id = figure_id;\n",
"\n",
" this.ws = websocket;\n",
"\n",
" this.supports_binary = this.ws.binaryType !== undefined;\n",
"\n",
" if (!this.supports_binary) {\n",
" var warnings = document.getElementById('mpl-warnings');\n",
" if (warnings) {\n",
" warnings.style.display = 'block';\n",
" warnings.textContent =\n",
" 'This browser does not support binary websocket messages. ' +\n",
" 'Performance may be slow.';\n",
" }\n",
" }\n",
"\n",
" this.imageObj = new Image();\n",
"\n",
" this.context = undefined;\n",
" this.message = undefined;\n",
" this.canvas = undefined;\n",
" this.rubberband_canvas = undefined;\n",
" this.rubberband_context = undefined;\n",
" this.format_dropdown = undefined;\n",
"\n",
" this.image_mode = 'full';\n",
"\n",
" this.root = document.createElement('div');\n",
" this.root.setAttribute('style', 'display: inline-block');\n",
" this._root_extra_style(this.root);\n",
"\n",
" parent_element.appendChild(this.root);\n",
"\n",
" this._init_header(this);\n",
" this._init_canvas(this);\n",
" this._init_toolbar(this);\n",
"\n",
" var fig = this;\n",
"\n",
" this.waiting = false;\n",
"\n",
" this.ws.onopen = function () {\n",
" fig.send_message('supports_binary', { value: fig.supports_binary });\n",
" fig.send_message('send_image_mode', {});\n",
" if (mpl.ratio !== 1) {\n",
" fig.send_message('set_dpi_ratio', { dpi_ratio: mpl.ratio });\n",
" }\n",
" fig.send_message('refresh', {});\n",
" };\n",
"\n",
" this.imageObj.onload = function () {\n",
" if (fig.image_mode === 'full') {\n",
" // Full images could contain transparency (where diff images\n",
" // almost always do), so we need to clear the canvas so that\n",
" // there is no ghosting.\n",
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
" }\n",
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
" };\n",
"\n",
" this.imageObj.onunload = function () {\n",
" fig.ws.close();\n",
" };\n",
"\n",
" this.ws.onmessage = this._make_on_message_function(this);\n",
"\n",
" this.ondownload = ondownload;\n",
"};\n",
"\n",
"mpl.figure.prototype._init_header = function () {\n",
" var titlebar = document.createElement('div');\n",
" titlebar.classList =\n",
" 'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
" var titletext = document.createElement('div');\n",
" titletext.classList = 'ui-dialog-title';\n",
" titletext.setAttribute(\n",
" 'style',\n",
" 'width: 100%; text-align: center; padding: 3px;'\n",
" );\n",
" titlebar.appendChild(titletext);\n",
" this.root.appendChild(titlebar);\n",
" this.header = titletext;\n",
"};\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
"\n",
"mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
"\n",
"mpl.figure.prototype._init_canvas = function () {\n",
" var fig = this;\n",
"\n",
" var canvas_div = (this.canvas_div = document.createElement('div'));\n",
" canvas_div.setAttribute(\n",
" 'style',\n",
" 'border: 1px solid #ddd;' +\n",
" 'box-sizing: content-box;' +\n",
" 'clear: both;' +\n",
" 'min-height: 1px;' +\n",
" 'min-width: 1px;' +\n",
" 'outline: 0;' +\n",
" 'overflow: hidden;' +\n",
" 'position: relative;' +\n",
" 'resize: both;'\n",
" );\n",
"\n",
" function on_keyboard_event_closure(name) {\n",
" return function (event) {\n",
" return fig.key_event(event, name);\n",
" };\n",
" }\n",
"\n",
" canvas_div.addEventListener(\n",
" 'keydown',\n",
" on_keyboard_event_closure('key_press')\n",
" );\n",
" canvas_div.addEventListener(\n",
" 'keyup',\n",
" on_keyboard_event_closure('key_release')\n",
" );\n",
"\n",
" this._canvas_extra_style(canvas_div);\n",
" this.root.appendChild(canvas_div);\n",
"\n",
" var canvas = (this.canvas = document.createElement('canvas'));\n",
" canvas.classList.add('mpl-canvas');\n",
" canvas.setAttribute('style', 'box-sizing: content-box;');\n",
"\n",
" this.context = canvas.getContext('2d');\n",
"\n",
" var backingStore =\n",
" this.context.backingStorePixelRatio ||\n",
" this.context.webkitBackingStorePixelRatio ||\n",
" this.context.mozBackingStorePixelRatio ||\n",
" this.context.msBackingStorePixelRatio ||\n",
" this.context.oBackingStorePixelRatio ||\n",
" this.context.backingStorePixelRatio ||\n",
" 1;\n",
"\n",
" mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
"\n",
" var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
" 'canvas'\n",
" ));\n",
" rubberband_canvas.setAttribute(\n",
" 'style',\n",
" 'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
" );\n",
"\n",
" var resizeObserver = new ResizeObserver(function (entries) {\n",
" var nentries = entries.length;\n",
" for (var i = 0; i < nentries; i++) {\n",
" var entry = entries[i];\n",
" var width, height;\n",
" if (entry.contentBoxSize) {\n",
" if (entry.contentBoxSize instanceof Array) {\n",
" // Chrome 84 implements new version of spec.\n",
" width = entry.contentBoxSize[0].inlineSize;\n",
" height = entry.contentBoxSize[0].blockSize;\n",
" } else {\n",
" // Firefox implements old version of spec.\n",
" width = entry.contentBoxSize.inlineSize;\n",
" height = entry.contentBoxSize.blockSize;\n",
" }\n",
" } else {\n",
" // Chrome <84 implements even older version of spec.\n",
" width = entry.contentRect.width;\n",
" height = entry.contentRect.height;\n",
" }\n",
"\n",
" // Keep the size of the canvas and rubber band canvas in sync with\n",
" // the canvas container.\n",
" if (entry.devicePixelContentBoxSize) {\n",
" // Chrome 84 implements new version of spec.\n",
" canvas.setAttribute(\n",
" 'width',\n",
" entry.devicePixelContentBoxSize[0].inlineSize\n",
" );\n",
" canvas.setAttribute(\n",
" 'height',\n",
" entry.devicePixelContentBoxSize[0].blockSize\n",
" );\n",
" } else {\n",
" canvas.setAttribute('width', width * mpl.ratio);\n",
" canvas.setAttribute('height', height * mpl.ratio);\n",
" }\n",
" canvas.setAttribute(\n",
" 'style',\n",
" 'width: ' + width + 'px; height: ' + height + 'px;'\n",
" );\n",
"\n",
" rubberband_canvas.setAttribute('width', width);\n",
" rubberband_canvas.setAttribute('height', height);\n",
"\n",
" // And update the size in Python. We ignore the initial 0/0 size\n",
" // that occurs as the element is placed into the DOM, which should\n",
" // otherwise not happen due to the minimum size styling.\n",
" if (width != 0 && height != 0) {\n",
" fig.request_resize(width, height);\n",
" }\n",
" }\n",
" });\n",
" resizeObserver.observe(canvas_div);\n",
"\n",
" function on_mouse_event_closure(name) {\n",
" return function (event) {\n",
" return fig.mouse_event(event, name);\n",
" };\n",
" }\n",
"\n",
" rubberband_canvas.addEventListener(\n",
" 'mousedown',\n",
" on_mouse_event_closure('button_press')\n",
" );\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseup',\n",
" on_mouse_event_closure('button_release')\n",
" );\n",
" // Throttle sequential mouse events to 1 every 20ms.\n",
" rubberband_canvas.addEventListener(\n",
" 'mousemove',\n",
" on_mouse_event_closure('motion_notify')\n",
" );\n",
"\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseenter',\n",
" on_mouse_event_closure('figure_enter')\n",
" );\n",
" rubberband_canvas.addEventListener(\n",
" 'mouseleave',\n",
" on_mouse_event_closure('figure_leave')\n",
" );\n",
"\n",
" canvas_div.addEventListener('wheel', function (event) {\n",
" if (event.deltaY < 0) {\n",
" event.step = 1;\n",
" } else {\n",
" event.step = -1;\n",
" }\n",
" on_mouse_event_closure('scroll')(event);\n",
" });\n",
"\n",
" canvas_div.appendChild(canvas);\n",
" canvas_div.appendChild(rubberband_canvas);\n",
"\n",
" this.rubberband_context = rubberband_canvas.getContext('2d');\n",
" this.rubberband_context.strokeStyle = '#000000';\n",
"\n",
" this._resize_canvas = function (width, height, forward) {\n",
" if (forward) {\n",
" canvas_div.style.width = width + 'px';\n",
" canvas_div.style.height = height + 'px';\n",
" }\n",
" };\n",
"\n",
" // Disable right mouse context menu.\n",
" this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
" event.preventDefault();\n",
" return false;\n",
" });\n",
"\n",
" function set_focus() {\n",
" canvas.focus();\n",
" canvas_div.focus();\n",
" }\n",
"\n",
" window.setTimeout(set_focus, 100);\n",
"};\n",
"\n",
"mpl.figure.prototype._init_toolbar = function () {\n",
" var fig = this;\n",
"\n",
" var toolbar = document.createElement('div');\n",
" toolbar.classList = 'mpl-toolbar';\n",
" this.root.appendChild(toolbar);\n",
"\n",
" function on_click_closure(name) {\n",
" return function (_event) {\n",
" return fig.toolbar_button_onclick(name);\n",
" };\n",
" }\n",
"\n",
" function on_mouseover_closure(tooltip) {\n",
" return function (event) {\n",
" if (!event.currentTarget.disabled) {\n",
" return fig.toolbar_button_onmouseover(tooltip);\n",
" }\n",
" };\n",
" }\n",
"\n",
" fig.buttons = {};\n",
" var buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'mpl-button-group';\n",
" for (var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" /* Instead of a spacer, we start a new button group. */\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
" buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'mpl-button-group';\n",
" continue;\n",
" }\n",
"\n",
" var button = (fig.buttons[name] = document.createElement('button'));\n",
" button.classList = 'mpl-widget';\n",
" button.setAttribute('role', 'button');\n",
" button.setAttribute('aria-disabled', 'false');\n",
" button.addEventListener('click', on_click_closure(method_name));\n",
" button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
"\n",
" var icon_img = document.createElement('img');\n",
" icon_img.src = '_images/' + image + '.png';\n",
" icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
" icon_img.alt = tooltip;\n",
" button.appendChild(icon_img);\n",
"\n",
" buttonGroup.appendChild(button);\n",
" }\n",
"\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
"\n",
" var fmt_picker = document.createElement('select');\n",
" fmt_picker.classList = 'mpl-widget';\n",
" toolbar.appendChild(fmt_picker);\n",
" this.format_dropdown = fmt_picker;\n",
"\n",
" for (var ind in mpl.extensions) {\n",
" var fmt = mpl.extensions[ind];\n",
" var option = document.createElement('option');\n",
" option.selected = fmt === mpl.default_extension;\n",
" option.innerHTML = fmt;\n",
" fmt_picker.appendChild(option);\n",
" }\n",
"\n",
" var status_bar = document.createElement('span');\n",
" status_bar.classList = 'mpl-message';\n",
" toolbar.appendChild(status_bar);\n",
" this.message = status_bar;\n",
"};\n",
"\n",
"mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
" // which will in turn request a refresh of the image.\n",
" this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
"};\n",
"\n",
"mpl.figure.prototype.send_message = function (type, properties) {\n",
" properties['type'] = type;\n",
" properties['figure_id'] = this.id;\n",
" this.ws.send(JSON.stringify(properties));\n",
"};\n",
"\n",
"mpl.figure.prototype.send_draw_message = function () {\n",
" if (!this.waiting) {\n",
" this.waiting = true;\n",
" this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
" var format_dropdown = fig.format_dropdown;\n",
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
" fig.ondownload(fig, format);\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
" var size = msg['size'];\n",
" if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
" fig._resize_canvas(size[0], size[1], msg['forward']);\n",
" fig.send_message('refresh', {});\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
" var x0 = msg['x0'] / mpl.ratio;\n",
" var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
" var x1 = msg['x1'] / mpl.ratio;\n",
" var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
" x0 = Math.floor(x0) + 0.5;\n",
" y0 = Math.floor(y0) + 0.5;\n",
" x1 = Math.floor(x1) + 0.5;\n",
" y1 = Math.floor(y1) + 0.5;\n",
" var min_x = Math.min(x0, x1);\n",
" var min_y = Math.min(y0, y1);\n",
" var width = Math.abs(x1 - x0);\n",
" var height = Math.abs(y1 - y0);\n",
"\n",
" fig.rubberband_context.clearRect(\n",
" 0,\n",
" 0,\n",
" fig.canvas.width / mpl.ratio,\n",
" fig.canvas.height / mpl.ratio\n",
" );\n",
"\n",
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
" // Updates the figure title.\n",
" fig.header.textContent = msg['label'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
" var cursor = msg['cursor'];\n",
" switch (cursor) {\n",
" case 0:\n",
" cursor = 'pointer';\n",
" break;\n",
" case 1:\n",
" cursor = 'default';\n",
" break;\n",
" case 2:\n",
" cursor = 'crosshair';\n",
" break;\n",
" case 3:\n",
" cursor = 'move';\n",
" break;\n",
" }\n",
" fig.rubberband_canvas.style.cursor = cursor;\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_message = function (fig, msg) {\n",
" fig.message.textContent = msg['message'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
" // Request the server to send over a new figure.\n",
" fig.send_draw_message();\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
" fig.image_mode = msg['mode'];\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
" for (var key in msg) {\n",
" if (!(key in fig.buttons)) {\n",
" continue;\n",
" }\n",
" fig.buttons[key].disabled = !msg[key];\n",
" fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
" if (msg['mode'] === 'PAN') {\n",
" fig.buttons['Pan'].classList.add('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" } else if (msg['mode'] === 'ZOOM') {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.add('active');\n",
" } else {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message('ack', {});\n",
"};\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function (fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = 'image/png';\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src\n",
" );\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data\n",
" );\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" } else if (\n",
" typeof evt.data === 'string' &&\n",
" evt.data.slice(0, 21) === 'data:image/png;base64'\n",
" ) {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig['handle_' + msg_type];\n",
" } catch (e) {\n",
" console.log(\n",
" \"No handler for the '\" + msg_type + \"' message type: \",\n",
" msg\n",
" );\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\n",
" \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
" e,\n",
" e.stack,\n",
" msg\n",
" );\n",
" }\n",
" }\n",
" };\n",
"};\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function (e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e) {\n",
" e = window.event;\n",
" }\n",
" if (e.target) {\n",
" targ = e.target;\n",
" } else if (e.srcElement) {\n",
" targ = e.srcElement;\n",
" }\n",
" if (targ.nodeType === 3) {\n",
" // defeat Safari bug\n",
" targ = targ.parentNode;\n",
" }\n",
"\n",
" // pageX,Y are the mouse positions relative to the document\n",
" var boundingRect = targ.getBoundingClientRect();\n",
" var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
" var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
"\n",
" return { x: x, y: y };\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys(original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object') {\n",
" obj[key] = original[key];\n",
" }\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function (event, name) {\n",
" var canvas_pos = mpl.findpos(event);\n",
"\n",
" if (name === 'button_press') {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {\n",
" x: x,\n",
" y: y,\n",
" button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event),\n",
" });\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"};\n",
"\n",
"mpl.figure.prototype.key_event = function (event, name) {\n",
" // Prevent repeat events\n",
" if (name === 'key_press') {\n",
" if (event.which === this._key) {\n",
" return;\n",
" } else {\n",
" this._key = event.which;\n",
" }\n",
" }\n",
" if (name === 'key_release') {\n",
" this._key = null;\n",
" }\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which !== 17) {\n",
" value += 'ctrl+';\n",
" }\n",
" if (event.altKey && event.which !== 18) {\n",
" value += 'alt+';\n",
" }\n",
" if (event.shiftKey && event.which !== 16) {\n",
" value += 'shift+';\n",
" }\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
" if (name === 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message('toolbar_button', { name: name });\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";/* global mpl */\n",
"\n",
"var comm_websocket_adapter = function (comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function () {\n",
" comm.close();\n",
" };\n",
" ws.send = function (m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function (msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data']);\n",
" });\n",
" return ws;\n",
"};\n",
"\n",
"mpl.mpl_figure_comm = function (comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = document.getElementById(id);\n",
" var ws_proxy = comm_websocket_adapter(comm);\n",
"\n",
" function ondownload(figure, _format) {\n",
" window.open(figure.canvas.toDataURL());\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element;\n",
" fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
" if (!fig.cell_info) {\n",
" console.error('Failed to find cell for figure', id, fig);\n",
" return;\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function (fig, msg) {\n",
" var width = fig.canvas.width / mpl.ratio;\n",
" fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable();\n",
" fig.parent_element.innerHTML =\n",
" '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
" fig.close_ws(fig, msg);\n",
"};\n",
"\n",
"mpl.figure.prototype.close_ws = function (fig, msg) {\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"};\n",
"\n",
"mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width / mpl.ratio;\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] =\n",
" '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message('ack', {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () {\n",
" fig.push_to_output();\n",
" }, 1000);\n",
"};\n",
"\n",
"mpl.figure.prototype._init_toolbar = function () {\n",
" var fig = this;\n",
"\n",
" var toolbar = document.createElement('div');\n",
" toolbar.classList = 'btn-toolbar';\n",
" this.root.appendChild(toolbar);\n",
"\n",
" function on_click_closure(name) {\n",
" return function (_event) {\n",
" return fig.toolbar_button_onclick(name);\n",
" };\n",
" }\n",
"\n",
" function on_mouseover_closure(tooltip) {\n",
" return function (event) {\n",
" if (!event.currentTarget.disabled) {\n",
" return fig.toolbar_button_onmouseover(tooltip);\n",
" }\n",
" };\n",
" }\n",
"\n",
" fig.buttons = {};\n",
" var buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" var button;\n",
" for (var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" /* Instead of a spacer, we start a new button group. */\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
" buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" continue;\n",
" }\n",
"\n",
" button = fig.buttons[name] = document.createElement('button');\n",
" button.classList = 'btn btn-default';\n",
" button.href = '#';\n",
" button.title = name;\n",
" button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
" button.addEventListener('click', on_click_closure(method_name));\n",
" button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
" buttonGroup.appendChild(button);\n",
" }\n",
"\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = document.createElement('span');\n",
" status_bar.classList = 'mpl-message pull-right';\n",
" toolbar.appendChild(status_bar);\n",
" this.message = status_bar;\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = document.createElement('div');\n",
" buttongrp.classList = 'btn-group inline pull-right';\n",
" button = document.createElement('button');\n",
" button.classList = 'btn btn-mini btn-primary';\n",
" button.href = '#';\n",
" button.title = 'Stop Interaction';\n",
" button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
" button.addEventListener('click', function (_evt) {\n",
" fig.handle_close(fig, {});\n",
" });\n",
" button.addEventListener(\n",
" 'mouseover',\n",
" on_mouseover_closure('Stop Interaction')\n",
" );\n",
" buttongrp.appendChild(button);\n",
" var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
" titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
"};\n",
"\n",
"mpl.figure.prototype._remove_fig_handler = function () {\n",
" this.close_ws(this, {});\n",
"};\n",
"\n",
"mpl.figure.prototype._root_extra_style = function (el) {\n",
" el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
" el.addEventListener('remove', this._remove_fig_handler);\n",
"};\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function (el) {\n",
" // this is important to make the div 'focusable\n",
" el.setAttribute('tabindex', 0);\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" } else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager) {\n",
" manager = IPython.keyboard_manager;\n",
" }\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which === 13) {\n",
" this.canvas_div.blur();\n",
" // select the cell after this one\n",
" var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
" IPython.notebook.select(index + 1);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
" fig.ondownload(fig, null);\n",
"};\n",
"\n",
"mpl.find_output_cell = function (html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i = 0; i < ncells; i++) {\n",
" var cell = cells[i];\n",
" if (cell.cell_type === 'code') {\n",
" for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
" var data = cell.output_area.outputs[j];\n",
" if (data.data) {\n",
" // IPython >= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] === html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"};\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel !== null) {\n",
" IPython.notebook.kernel.comm_manager.register_target(\n",
" 'matplotlib',\n",
" mpl.mpl_figure_comm\n",
" );\n",
"}\n"
],
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\" width=\"399.9999913302337\">"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f0d1fdd17f0>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from pylab import * \n",
"%matplotlib notebook\n",
"from clifford import conformalize,Cl,MVArray, pretty\n",
"\n",
"\n",
"STA, blades = Cl(1,3,firstIdx=0)\n",
"\n",
"locals().update(blades)\n",
"i = e123 # space \n",
"j = e012 # spintime (name?)\n",
"I = e0123 # spacetime\n",
"\n",
"# spacetime split methods\n",
"split_apart = lambda x: ((x|e0)*e0, (x^e0)*e0)\n",
"split = lambda x: (x^e0)/(x|e0)\n",
"\n",
"def plot_123(x,**kw): # g123 space plot \n",
" x = array([k.value[2:5] for k in x])\n",
" ax.plot(x[:,0],x[:,1],x[:,2],**kw)\n",
" \n",
"def plot_120(x,**kw): # g120 spacetime plot \n",
" x= array([k.value[[2,3,1]] for k in x])\n",
" ax.plot(x[:,0],x[:,1],x[:,2],**kw)\n",
"\n",
"\n",
"## the physics is all here\n",
"p = 10*(1*e0-4*e3) #pitch vector \n",
"\n",
"## from p we can formulate helix parameters\n",
"w,k = split_apart(p)\n",
"S = i*k/ abs(i*k)\n",
"Vp = split(p)\n",
"f = abs(1/w-1/k)*e1\n",
"\n",
"# parametric equation for a helix\n",
"def fx(x):\n",
" return e**((p|x)*S)*f + x\n",
"\n",
"N = 301\n",
"x3 = linspace(-1,1,N)*e3\n",
"x0 = linspace(-1,1,N)*e0\n",
"\n",
"fig = plt.figure(figsize=(4,4))#,dpi=300)\n",
"ax = fig.add_subplot(111, projection='3d') \n",
"\n",
"plot_123(fx(x3),lw=3,label='along space , $\\gamma_{123}$')\n",
"plot_120(fx(x0),lw=3,label='along time, $\\gamma_{012}$')\n",
"legend()\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpretation \n",
"The entire helix can be determined from the propagation, or 'pitch' vector $p$. The $p$-vector decomposes into time and space components \n",
"$$\n",
"p = \\omega + k = p \\cdot \\gamma_0\\gamma_0^{-1} +p\\wedge \\gamma_0\\gamma_0^{-1} \n",
"$$\n",
"\n",
"Since $\\omega$ and $k$ are vectors, the **phase velocity** of the wave is a bivector given by the projective split of the $p$-vector with time, \n",
"$$\n",
"V_p = \\frac{\\omega}{k}=\\frac{p \\cdot \\gamma_0}{p\\wedge \\gamma_0}\n",
"$$\n",
"\n",
"Geometrically this can be understood as a ratio of time-pitch to space-pitch, or as a relative boost of some fixed reference velocity. We assume that a helix requires the spin plane to be orthogonal to $k$, \n",
"$$\n",
"S = i\\hat{k} = \\gamma_{123} \\hat{k}\n",
"$$\n",
"(hats mean normalized). And this implies its direction is spacetime dual to $V_p$ \n",
"\n",
"$$\n",
"S = I \\hat{V_p} \\equiv IC\n",
"$$\n",
"\n",
"The radius of the helix is constrained by the requirement that the tangent along the helix is null. (the actual formula of this is uncertain, i need help)\n",
"\n",
"$$\n",
"|r| = |\\frac{C}{\\omega} -\\frac{1}{k}| ?\\\\\n",
" = \\omega^{-1} (C-V_p) = \\frac{C}{\\omega}(1-V_p/C)\n",
"$$\n",
"\n",
"So, given a propagation vector $p$, the spin plane $S$ and the radius of the helix $|r|$ are determined. This completely describes a Spacetime Helix.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## \"Standard Frame\" Operator vs Quantity \n",
"\n",
"the above describes a general helix which can be propagating at any speed/direction in spacetime. It is also possible to model an arbitrary helix as the operations acting on some fixed reference helix. Generally a helix is expressed in the 'standard frame', and then arbitrary helices are modeled by sufficient operations on this reference."
]
},
{
"cell_type": "markdown",
"metadata": {},
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},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## STA+CGA = STAC \n",
"\n",
"\n",
"\n",
"Now to reformulate this with operators we use screw theory[1]. Conformalizing the STA into STAC, we have two null vectors for the origin and infinity, $e_o$ and $e_\\infty$ (or $o$ and $\\infty$ for short). We might also like de-kenincks/dorst's new projective model STAP, but thats TBD. \n",
"\n",
"The generator for translation along $x$ is $T_x = x\\wedge \\infty$. A *displacement*, $D$ is defined as a combination of translation and rotation. \n",
"\n",
"$$D = TR=e^{x\\wedge \\infty} e^{\\theta B}= e^{\\phi V}$$ \n",
"\n",
"\n",
"Now, the rotation plane for a helix is straightforward, but what about the translation direction? Intuitively we may say that it is along $p$, as is the case for 3D space, but this is wrong. Imagine the helix as the wave slows down to rest, ie $V_p \\rightarrow 0$ . In this case, the particle path is obviously along $\\gamma_0$, since its not moving in space, but the propagation vectors is predominantly along $k$, because $V_p = \\frac{\\omega}{k} \\rightarrow 0 $. So we conclude that the axis of the helix is given by the hyperbolic dual of $p$, as this will interchange the directions of $\\omega $ with $k$. The dual to $p$ is defined as \n",
"$$\n",
"p' = \\hat V_p p\n",
"$$\n",
"\n",
"Since $p'$ and $S$ commute, we can combine their generators to form what is called the angular velocity $V$, \n",
"$$V = S+ p' \\wedge \\infty $$ \n",
"\n",
"This generator alone does not define the radius of the helix, which is constrained by the requirement that the tangent velocity of the particle is always light-like. For this we can either express the radius as some fixed initial vector $r$, or add an aditional translation operator acting on the origin. \n",
"\n",
"$$\n",
"Dr\\tilde D = DT_re_0 \\tilde T_r \\tilde D\n",
"$$\n",
" \n",
" [1] [New Tools For Computational Geometry](https://www.researchgate.net/publication/258454480_New_Tools_for_Computational_Geometry_and_Rejuvenation_of_Screw_Theory) - David Hestenes"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"\n",
"STAC, blades,stuff = conformalize(STA) # conformal dirac\n",
"\n",
"locals().update(blades)\n",
"locals().update(stuff)\n",
"\n",
"# various subspaces\n",
"i = e123 # space \n",
"j = e012 # spin timespace (name?)\n",
"I = e0123 # spacetime \n",
"J = e012345 # conformal spacetime \n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": true
},
"outputs": [
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" fig.buttons['Pan'].classList.add('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" } else if (msg['mode'] === 'ZOOM') {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.add('active');\n",
" } else {\n",
" fig.buttons['Pan'].classList.remove('active');\n",
" fig.buttons['Zoom'].classList.remove('active');\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Called whenever the canvas gets updated.\n",
" this.send_message('ack', {});\n",
"};\n",
"\n",
"// A function to construct a web socket function for onmessage handling.\n",
"// Called in the figure constructor.\n",
"mpl.figure.prototype._make_on_message_function = function (fig) {\n",
" return function socket_on_message(evt) {\n",
" if (evt.data instanceof Blob) {\n",
" /* FIXME: We get \"Resource interpreted as Image but\n",
" * transferred with MIME type text/plain:\" errors on\n",
" * Chrome. But how to set the MIME type? It doesn't seem\n",
" * to be part of the websocket stream */\n",
" evt.data.type = 'image/png';\n",
"\n",
" /* Free the memory for the previous frames */\n",
" if (fig.imageObj.src) {\n",
" (window.URL || window.webkitURL).revokeObjectURL(\n",
" fig.imageObj.src\n",
" );\n",
" }\n",
"\n",
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
" evt.data\n",
" );\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" } else if (\n",
" typeof evt.data === 'string' &&\n",
" evt.data.slice(0, 21) === 'data:image/png;base64'\n",
" ) {\n",
" fig.imageObj.src = evt.data;\n",
" fig.updated_canvas_event();\n",
" fig.waiting = false;\n",
" return;\n",
" }\n",
"\n",
" var msg = JSON.parse(evt.data);\n",
" var msg_type = msg['type'];\n",
"\n",
" // Call the \"handle_{type}\" callback, which takes\n",
" // the figure and JSON message as its only arguments.\n",
" try {\n",
" var callback = fig['handle_' + msg_type];\n",
" } catch (e) {\n",
" console.log(\n",
" \"No handler for the '\" + msg_type + \"' message type: \",\n",
" msg\n",
" );\n",
" return;\n",
" }\n",
"\n",
" if (callback) {\n",
" try {\n",
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
" callback(fig, msg);\n",
" } catch (e) {\n",
" console.log(\n",
" \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
" e,\n",
" e.stack,\n",
" msg\n",
" );\n",
" }\n",
" }\n",
" };\n",
"};\n",
"\n",
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
"mpl.findpos = function (e) {\n",
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
" var targ;\n",
" if (!e) {\n",
" e = window.event;\n",
" }\n",
" if (e.target) {\n",
" targ = e.target;\n",
" } else if (e.srcElement) {\n",
" targ = e.srcElement;\n",
" }\n",
" if (targ.nodeType === 3) {\n",
" // defeat Safari bug\n",
" targ = targ.parentNode;\n",
" }\n",
"\n",
" // pageX,Y are the mouse positions relative to the document\n",
" var boundingRect = targ.getBoundingClientRect();\n",
" var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
" var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
"\n",
" return { x: x, y: y };\n",
"};\n",
"\n",
"/*\n",
" * return a copy of an object with only non-object keys\n",
" * we need this to avoid circular references\n",
" * http://stackoverflow.com/a/24161582/3208463\n",
" */\n",
"function simpleKeys(original) {\n",
" return Object.keys(original).reduce(function (obj, key) {\n",
" if (typeof original[key] !== 'object') {\n",
" obj[key] = original[key];\n",
" }\n",
" return obj;\n",
" }, {});\n",
"}\n",
"\n",
"mpl.figure.prototype.mouse_event = function (event, name) {\n",
" var canvas_pos = mpl.findpos(event);\n",
"\n",
" if (name === 'button_press') {\n",
" this.canvas.focus();\n",
" this.canvas_div.focus();\n",
" }\n",
"\n",
" var x = canvas_pos.x * mpl.ratio;\n",
" var y = canvas_pos.y * mpl.ratio;\n",
"\n",
" this.send_message(name, {\n",
" x: x,\n",
" y: y,\n",
" button: event.button,\n",
" step: event.step,\n",
" guiEvent: simpleKeys(event),\n",
" });\n",
"\n",
" /* This prevents the web browser from automatically changing to\n",
" * the text insertion cursor when the button is pressed. We want\n",
" * to control all of the cursor setting manually through the\n",
" * 'cursor' event from matplotlib */\n",
" event.preventDefault();\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
" // Handle any extra behaviour associated with a key event\n",
"};\n",
"\n",
"mpl.figure.prototype.key_event = function (event, name) {\n",
" // Prevent repeat events\n",
" if (name === 'key_press') {\n",
" if (event.which === this._key) {\n",
" return;\n",
" } else {\n",
" this._key = event.which;\n",
" }\n",
" }\n",
" if (name === 'key_release') {\n",
" this._key = null;\n",
" }\n",
"\n",
" var value = '';\n",
" if (event.ctrlKey && event.which !== 17) {\n",
" value += 'ctrl+';\n",
" }\n",
" if (event.altKey && event.which !== 18) {\n",
" value += 'alt+';\n",
" }\n",
" if (event.shiftKey && event.which !== 16) {\n",
" value += 'shift+';\n",
" }\n",
"\n",
" value += 'k';\n",
" value += event.which.toString();\n",
"\n",
" this._key_event_extra(event, name);\n",
"\n",
" this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
" return false;\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
" if (name === 'download') {\n",
" this.handle_save(this, null);\n",
" } else {\n",
" this.send_message('toolbar_button', { name: name });\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
" this.message.textContent = tooltip;\n",
"};\n",
"mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
"\n",
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
"\n",
"mpl.default_extension = \"png\";/* global mpl */\n",
"\n",
"var comm_websocket_adapter = function (comm) {\n",
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
" // object with the appropriate methods. Currently this is a non binary\n",
" // socket, so there is still some room for performance tuning.\n",
" var ws = {};\n",
"\n",
" ws.close = function () {\n",
" comm.close();\n",
" };\n",
" ws.send = function (m) {\n",
" //console.log('sending', m);\n",
" comm.send(m);\n",
" };\n",
" // Register the callback with on_msg.\n",
" comm.on_msg(function (msg) {\n",
" //console.log('receiving', msg['content']['data'], msg);\n",
" // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
" ws.onmessage(msg['content']['data']);\n",
" });\n",
" return ws;\n",
"};\n",
"\n",
"mpl.mpl_figure_comm = function (comm, msg) {\n",
" // This is the function which gets called when the mpl process\n",
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
"\n",
" var id = msg.content.data.id;\n",
" // Get hold of the div created by the display call when the Comm\n",
" // socket was opened in Python.\n",
" var element = document.getElementById(id);\n",
" var ws_proxy = comm_websocket_adapter(comm);\n",
"\n",
" function ondownload(figure, _format) {\n",
" window.open(figure.canvas.toDataURL());\n",
" }\n",
"\n",
" var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
"\n",
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
" // web socket which is closed, not our websocket->open comm proxy.\n",
" ws_proxy.onopen();\n",
"\n",
" fig.parent_element = element;\n",
" fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
" if (!fig.cell_info) {\n",
" console.error('Failed to find cell for figure', id, fig);\n",
" return;\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_close = function (fig, msg) {\n",
" var width = fig.canvas.width / mpl.ratio;\n",
" fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
"\n",
" // Update the output cell to use the data from the current canvas.\n",
" fig.push_to_output();\n",
" var dataURL = fig.canvas.toDataURL();\n",
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
" // the notebook keyboard shortcuts fail.\n",
" IPython.keyboard_manager.enable();\n",
" fig.parent_element.innerHTML =\n",
" '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
" fig.close_ws(fig, msg);\n",
"};\n",
"\n",
"mpl.figure.prototype.close_ws = function (fig, msg) {\n",
" fig.send_message('closing', msg);\n",
" // fig.ws.close()\n",
"};\n",
"\n",
"mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
" // Turn the data on the canvas into data in the output cell.\n",
" var width = this.canvas.width / mpl.ratio;\n",
" var dataURL = this.canvas.toDataURL();\n",
" this.cell_info[1]['text/html'] =\n",
" '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
"};\n",
"\n",
"mpl.figure.prototype.updated_canvas_event = function () {\n",
" // Tell IPython that the notebook contents must change.\n",
" IPython.notebook.set_dirty(true);\n",
" this.send_message('ack', {});\n",
" var fig = this;\n",
" // Wait a second, then push the new image to the DOM so\n",
" // that it is saved nicely (might be nice to debounce this).\n",
" setTimeout(function () {\n",
" fig.push_to_output();\n",
" }, 1000);\n",
"};\n",
"\n",
"mpl.figure.prototype._init_toolbar = function () {\n",
" var fig = this;\n",
"\n",
" var toolbar = document.createElement('div');\n",
" toolbar.classList = 'btn-toolbar';\n",
" this.root.appendChild(toolbar);\n",
"\n",
" function on_click_closure(name) {\n",
" return function (_event) {\n",
" return fig.toolbar_button_onclick(name);\n",
" };\n",
" }\n",
"\n",
" function on_mouseover_closure(tooltip) {\n",
" return function (event) {\n",
" if (!event.currentTarget.disabled) {\n",
" return fig.toolbar_button_onmouseover(tooltip);\n",
" }\n",
" };\n",
" }\n",
"\n",
" fig.buttons = {};\n",
" var buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" var button;\n",
" for (var toolbar_ind in mpl.toolbar_items) {\n",
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
"\n",
" if (!name) {\n",
" /* Instead of a spacer, we start a new button group. */\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
" buttonGroup = document.createElement('div');\n",
" buttonGroup.classList = 'btn-group';\n",
" continue;\n",
" }\n",
"\n",
" button = fig.buttons[name] = document.createElement('button');\n",
" button.classList = 'btn btn-default';\n",
" button.href = '#';\n",
" button.title = name;\n",
" button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
" button.addEventListener('click', on_click_closure(method_name));\n",
" button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
" buttonGroup.appendChild(button);\n",
" }\n",
"\n",
" if (buttonGroup.hasChildNodes()) {\n",
" toolbar.appendChild(buttonGroup);\n",
" }\n",
"\n",
" // Add the status bar.\n",
" var status_bar = document.createElement('span');\n",
" status_bar.classList = 'mpl-message pull-right';\n",
" toolbar.appendChild(status_bar);\n",
" this.message = status_bar;\n",
"\n",
" // Add the close button to the window.\n",
" var buttongrp = document.createElement('div');\n",
" buttongrp.classList = 'btn-group inline pull-right';\n",
" button = document.createElement('button');\n",
" button.classList = 'btn btn-mini btn-primary';\n",
" button.href = '#';\n",
" button.title = 'Stop Interaction';\n",
" button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
" button.addEventListener('click', function (_evt) {\n",
" fig.handle_close(fig, {});\n",
" });\n",
" button.addEventListener(\n",
" 'mouseover',\n",
" on_mouseover_closure('Stop Interaction')\n",
" );\n",
" buttongrp.appendChild(button);\n",
" var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
" titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
"};\n",
"\n",
"mpl.figure.prototype._remove_fig_handler = function () {\n",
" this.close_ws(this, {});\n",
"};\n",
"\n",
"mpl.figure.prototype._root_extra_style = function (el) {\n",
" el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
" el.addEventListener('remove', this._remove_fig_handler);\n",
"};\n",
"\n",
"mpl.figure.prototype._canvas_extra_style = function (el) {\n",
" // this is important to make the div 'focusable\n",
" el.setAttribute('tabindex', 0);\n",
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
" // off when our div gets focus\n",
"\n",
" // location in version 3\n",
" if (IPython.notebook.keyboard_manager) {\n",
" IPython.notebook.keyboard_manager.register_events(el);\n",
" } else {\n",
" // location in version 2\n",
" IPython.keyboard_manager.register_events(el);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
" var manager = IPython.notebook.keyboard_manager;\n",
" if (!manager) {\n",
" manager = IPython.keyboard_manager;\n",
" }\n",
"\n",
" // Check for shift+enter\n",
" if (event.shiftKey && event.which === 13) {\n",
" this.canvas_div.blur();\n",
" // select the cell after this one\n",
" var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
" IPython.notebook.select(index + 1);\n",
" }\n",
"};\n",
"\n",
"mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
" fig.ondownload(fig, null);\n",
"};\n",
"\n",
"mpl.find_output_cell = function (html_output) {\n",
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
" // IPython event is triggered only after the cells have been serialised, which for\n",
" // our purposes (turning an active figure into a static one), is too late.\n",
" var cells = IPython.notebook.get_cells();\n",
" var ncells = cells.length;\n",
" for (var i = 0; i < ncells; i++) {\n",
" var cell = cells[i];\n",
" if (cell.cell_type === 'code') {\n",
" for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
" var data = cell.output_area.outputs[j];\n",
" if (data.data) {\n",
" // IPython >= 3 moved mimebundle to data attribute of output\n",
" data = data.data;\n",
" }\n",
" if (data['text/html'] === html_output) {\n",
" return [cell, data, j];\n",
" }\n",
" }\n",
" }\n",
" }\n",
"};\n",
"\n",
"// Register the function which deals with the matplotlib target/channel.\n",
"// The kernel may be null if the page has been refreshed.\n",
"if (IPython.notebook.kernel !== null) {\n",
" IPython.notebook.kernel.comm_manager.register_target(\n",
" 'matplotlib',\n",
" mpl.mpl_figure_comm\n",
" );\n",
"}\n"
],
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"<IPython.core.display.Javascript object>"
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},
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\" width=\"499.9999891627921\">"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"\n",
"fig = plt.figure(figsize=(5,5))#,dpi=300)\n",
"ax = fig.add_subplot(111, projection='3d') \n",
"\n",
"alpha = linspace(0,6,500)\n",
"\n",
"\n",
"for z in [10,1.1,.1]:\n",
" p = (e0 + z*e3)\n",
"\n",
"\n",
" w,k = split_apart(p) # time,space frequency\n",
" S = i*k/ abs(i*k) # spin plane\n",
" Vp = split(p) # phase velocity \n",
" B = I*Vp # boost plane\n",
" a = abs(1/w-1/k)*e1 # radius \n",
" \n",
" p_= Vp/abs(Vp)*p # p' = hyperbolic orthogonal to p\n",
"\n",
" W = (S + p_*einf) # generator\n",
" D = MVArray([e**(k*W) for k in alpha]) # displacement\n",
" path = [down(k*up(a)*~k)(1) for k in D]\n",
"\n",
" plot_123(path, lw=3, label='space,Vp = %.1fc'%abs(Vp))\n",
" plot_120(path, lw=3, label='time,Vp = %.1fc'%abs(Vp))\n",
"\n",
"tight_layout()\n",
"legend()\n",
"ax.set_axis_off()\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"abs(e0-e3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Toridal Zitter \n",
"\n",
"Or to move the helix radius into the operator we can treat it as a translation of the origin, before we do the helix, \n",
"$$ D = TRT,$$\n",
"however, the first translation is fixed with the pitch, ie doesnt have a phase independent variable. \n",
"$$H = T_p R_S T_r $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### EM\n",
"\n",
"The same split can be used on the electromagnetic wave to break it into electric and magnetic components, \n",
"$$\n",
"F = F \\cdot \\gamma_0 \\gamma_0^{-1}+ F\\wedge \\gamma_0 \\gamma_0^{-1} \\\\= H+E\\\\\n",
"$$\n",
"the ratio of which is the impedance. \n",
"\n",
"$$\n",
"Z_0 = \\frac{E}{H}=\\frac{F \\cdot \\gamma_0}{F\\wedge \\gamma_0}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Scratch"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/alex/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:14: DeprecationWarning: Treating MultiVector objects like a sequence is deprecated. To access the coefficients as a sequence, use the `.value` attribute.\n",
" \n",
"/home/alex/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:15: DeprecationWarning: Treating MultiVector objects like a sequence is deprecated. To access the coefficients as a sequence, use the `.value` attribute.\n",
" from ipykernel import kernelapp as app\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f0d2c748710>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"c = e0+e3\n",
"C = e03\n",
"%matplotlib inline\n",
"ps=[]\n",
"pss=[]\n",
"for phi in linspace(1, -1, 90):\n",
" R = e**(phi*e03)\n",
" \n",
" p = R*(e3)*~R\n",
" \n",
" w,k = split_apart(p) \n",
" Vp=w/k\n",
" r = abs(1/w*(C-Vp))\n",
" pss.append([r*p[1],r*p[4]])\n",
" ps.append([p[1],p[4]])\n",
"ps=array(ps)\n",
"plot(ps[:,1],ps[:,0])\n",
"pss=array(pss)\n",
"plot(pss[:,1],pss[:,0])\n",
"#ylim(0,10)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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