Archimedes Lever

Archimedes_lever

First published in Plan A+ https://peteirvine.substack.com/

Archimedes once said: “Give me a lever long enough and a fulcrum on which to place it, and I shall move the world.” If we found such a lever and fulcrum and moved the world farther out from the sun we could stop climate change in its tracks.

This is obviously impossible but by leveraging the properties of very tiny particles, known as aerosols, we have a practical means of achieving the same kind of cooling effect.

Imagine we have a cube of white stuff a metre across. This white cube will cover 1 m2 of darker surface, reflecting some light and helping to cool the planet. Now, the Earth is rather large, so we’d need a lot of these cubes to make a difference. However, if we cut our cube in half across each face, we’ll get 8 cubes half a metre across, and these will be able to cover 2 square metres. By halving the size of our cube, we’ve doubled the area we can cover. If we halve our cubes again, we’d double their area again. And we could do that again and again and again. If the cubes were cut up into pieces 1 millionth of a metre across, we could cover 1 million m2 with the same amount of stuff!*

This is the idea that’s at the heart of the one and a half solar geoengineering proposals that have the potential to arrest global warming in the coming decades.

First and foremost is stratospheric aerosol geoengineering†. The idea is to release millions of tons of tiny aerosol particles (or their precursors) into the stratosphere, a stable layer of the atmosphere about 20 km up (60,000 ft). This would create a persistent, thin haze that would reflect 1% of light back to space and cool the Earth.

There is no doubt that this will work as volcanic eruptions give us a clear natural demonstration of this effect. The most powerful eruptions, like Tambora 1815, Krakatoa 1884 and Pinatubo 1991 all pump millions of tons of a compound known as sulphur dioxide into the stratosphere where it goes on to form tiny aerosol particles around about the perfect size to reflect light back to space. While Pinatubo had a significant cooling effect of around 0.5 °C for a year or two, you’d be forgiven for not noticing its impact on your day-to-day life . Tambora on the other hand caused such a large reduction in temperatures that 1816 was known as “the year without a summer” .

The other global solar geoengineering proposal that has some potential is marine cloud brightening. Here the idea is to spray very, very tiny sea-water particles into the underside of clouds to make them more reflective.

Clouds are made of tiny droplets of water and just like the white cube we discussed earlier, if you take the same amount of water and split it into smaller droplets you will reflect more light. Now, water isn’t too keen on forming into droplets on its own, it usually requires a helping hand to get started. Most water droplets start by forming around another even tinier aerosol particle. By increasing the number of these tiny seed particles, known as “cloud condensation nuclei,” marine cloud brightening would spread the water in the cloud over a larger number of droplets and increase the amount of light they reflect .

While stratospheric aerosol geoengineering is certain to work and has the potential to offset all future warming, Marine cloud brightening’s cooling effect is much less certain and would be much weaker and patchier. There are many more solar geoengineering proposals out there, but as I’ll explain in later posts those either don’t make sense, are infeasible, or could only operate on local scales, so we really only have these one and a half options and they both depend on the light-reflecting power of tiny aerosol particles.

Archimedes teaches us that with a lever a weak person can magnify their strength to shift a great weight. While we can’t move the Earth farther from the sun, by leveraging the physics of tiny aerosol particles we can still cool the Earth.

Footnotes

* The simple maths works up until around the wavelength of light (~0.5 micron) where things get more complicated. If you go much smaller than that, light only weakly interacts with the particles and they lose their reflective power.

† Much more on this later.

To read more on solar geoengineering see Plan A+ https://peteirvine.substack.com/

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Radix is the radical centre think tank. We welcome all contributions which promote system change, challenge established notions and re-imagine our societies. The views expressed here are those of the individual contributor and not necessarily shared by Radix.

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Get email notifications</p></li><li id="field_2_1" class="gfield gfield_contains_required field_sublabel_hidden_label field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_2_1"><label class='gfield_label gfield_label_before_complex' >Name<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_complex ginput_container no_prefix has_first_name no_middle_name has_last_name no_suffix gf_name_has_2 ginput_container_name' id='input_2_1'> <span id='input_2_1_3_container' class='name_first' > <input type='text' name='input_1.3' id='input_2_1_3' value='' tabindex='70' aria-required='true' placeholder='First Name*' /> <label for='input_2_1_3' class='hidden_sub_label screen-reader-text'>First</label> </span> <span id='input_2_1_6_container' class='name_last' > <input type='text' name='input_1.6' id='input_2_1_6' value='' tabindex='72' aria-required='true' placeholder='Last Name*' /> <label for='input_2_1_6' class='hidden_sub_label screen-reader-text'>Last</label> </span> </div></li><li id="field_2_2" class="gfield gfield_contains_required field_sublabel_below field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_2_2"><label class='gfield_label' for='input_2_2' >Email<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_container ginput_container_email'> <input name='input_2' id='input_2_2' type='email' value='' class='large' tabindex='74' placeholder='Email*' aria-required="true" aria-invalid="false" /> </div></li><li id="field_2_4" class="gfield gf-conf-check gfield_contains_required field_sublabel_below field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_2_4"><label class='gfield_label gfield_label_before_complex' >Confirmation<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_container ginput_container_checkbox'><ul class='gfield_checkbox' id='input_2_4'><li class='gchoice gchoice_2_4_1'> <input class='gfield-choice-input' name='input_4.1' type='checkbox' value='Please keep me updated on new website content and Radix news. (We will process your data in accordance with our <span class="pp"><a href="https://radixuk.org/privacy-policy/">Privacy Policy</a></span>. You may withdraw this consent at any time by &lt;a href=&quot;"mailto:[email protected]"&quot;&gt;emailing us&lt;/a&gt; or clicking “unsubscribe” at the bottom of our emails).' id='choice_2_4_1' tabindex='75' /> <label for='choice_2_4_1' id='label_2_4_1'>Please keep me updated on new website content and Radix news. (We will process your data in accordance with our <span class="pp"><a href="https://radixuk.org/privacy-policy/">Privacy Policy</a></span>. You may withdraw this consent at any time by <a href="mailto:[email protected]">emailing us</a> or clicking “unsubscribe” at the bottom of our emails).</label> </li></ul></div></li><li id="field_2_6" class="gfield gform_validation_container field_sublabel_below field_description_below gfield_visibility_visible" data-js-reload="field_2_6"><label class='gfield_label' for='input_2_6' >Name</label><div class='ginput_container'><input name='input_6' id='input_2_6' type='text' value='' autocomplete='new-password'/></div><div class='gfield_description' id='gfield_description_2_6'>This field is for validation purposes and should be left unchanged.</div></li></ul></div> <div class='gform_footer top_label'> <input type='submit' id='gform_submit_button_2' class='gform_button button' value='SUBSCRIBE' tabindex='76' onclick='if(window["gf_submitting_2"]){return false;} if( !jQuery("#gform_2")[0].checkValidity || jQuery("#gform_2")[0].checkValidity()){window["gf_submitting_2"]=true;} ' onkeypress='if( event.keyCode == 13 ){ if(window["gf_submitting_2"]){return false;} if( !jQuery("#gform_2")[0].checkValidity || jQuery("#gform_2")[0].checkValidity()){window["gf_submitting_2"]=true;} jQuery("#gform_2").trigger("submit",[true]); }' /> <input type='hidden' name='gform_ajax' value='form_id=2&amp;title=&amp;description=&amp;tabindex=69' /> <input type='hidden' class='gform_hidden' name='is_submit_2' value='1' /> <input type='hidden' class='gform_hidden' name='gform_submit' value='2' /> <input type='hidden' class='gform_hidden' name='gform_unique_id' value='' /> <input type='hidden' class='gform_hidden' name='state_2' value='WyJbXSIsIjg1ZGYwZWM3YzAyMDRmYTcyZDYxNmIwMWJiNmFhYzVhIl0=' /> <input type='hidden' class='gform_hidden' name='gform_target_page_number_2' id='gform_target_page_number_2' value='0' /> <input type='hidden' class='gform_hidden' name='gform_source_page_number_2' id='gform_source_page_number_2' value='1' /> <input type='hidden' name='gform_field_values' value='' /> </div> <p style="display: none !important;"><label>&#916;<textarea name="ak_hp_textarea" cols="45" rows="8" maxlength="100"></textarea></label><input type="hidden" id="ak_js_3" name="ak_js" value="31"/><script>document.getElementById( "ak_js_3" ).setAttribute( "value", ( new Date() ).getTime() );</script></p></form> </div> <iframe style='display:none;width:0px;height:0px;' src='about:blank' name='gform_ajax_frame_2' id='gform_ajax_frame_2' title='This iframe contains the logic required to handle Ajax powered Gravity Forms.'></iframe> <script type="text/javascript"> gform.initializeOnLoaded( function() {gformInitSpinner( 2, 'https://radixuk.org/wp-content/plugins/gravityforms/images/spinner.svg' );jQuery('#gform_ajax_frame_2').on('load',function(){var contents = jQuery(this).contents().find('*').html();var is_postback = contents.indexOf('GF_AJAX_POSTBACK') >= 0;if(!is_postback){return;}var form_content = jQuery(this).contents().find('#gform_wrapper_2');var is_confirmation = jQuery(this).contents().find('#gform_confirmation_wrapper_2').length > 0;var is_redirect = contents.indexOf('gformRedirect(){') >= 0;var is_form = form_content.length > 0 && ! is_redirect && ! is_confirmation;var mt = parseInt(jQuery('html').css('margin-top'), 10) + parseInt(jQuery('body').css('margin-top'), 10) + 100;if(is_form){jQuery('#gform_wrapper_2').html(form_content.html());if(form_content.hasClass('gform_validation_error')){jQuery('#gform_wrapper_2').addClass('gform_validation_error');} else {jQuery('#gform_wrapper_2').removeClass('gform_validation_error');}setTimeout( function() { /* delay the scroll by 50 milliseconds to fix a bug in chrome */ jQuery(document).scrollTop(jQuery('#gform_wrapper_2').offset().top - mt); }, 50 );if(window['gformInitDatepicker']) {gformInitDatepicker();}if(window['gformInitPriceFields']) {gformInitPriceFields();}var current_page = jQuery('#gform_source_page_number_2').val();gformInitSpinner( 2, 'https://radixuk.org/wp-content/plugins/gravityforms/images/spinner.svg' );jQuery(document).trigger('gform_page_loaded', [2, current_page]);window['gf_submitting_2'] = false;}else if(!is_redirect){var confirmation_content = jQuery(this).contents().find('.GF_AJAX_POSTBACK').html();if(!confirmation_content){confirmation_content = contents;}setTimeout(function(){jQuery('#gform_wrapper_2').replaceWith(confirmation_content);jQuery(document).scrollTop(jQuery('#gf_2').offset().top - mt);jQuery(document).trigger('gform_confirmation_loaded', [2]);window['gf_submitting_2'] = false;wp.a11y.speak(jQuery('#gform_confirmation_message_2').text());}, 50);}else{jQuery('#gform_2').append(contents);if(window['gformRedirect']) {gformRedirect();}}jQuery(document).trigger('gform_post_render', [2, current_page]);} );} ); </script>
[gravityform id=5 title=false description=false ajax=true tabindex=64]
<div class='gf_browser_unknown gform_wrapper gform_legacy_markup_wrapper' id='gform_wrapper_5' ><div id='gf_5' class='gform_anchor' tabindex='-1'></div><form method='post' enctype='multipart/form-data' target='gform_ajax_frame_5' id='gform_5' action='/opinion/archimedes-lever/#gf_5' novalidate> <div class='gform_body gform-body'><ul id='gform_fields_5' class='gform_fields top_label form_sublabel_below description_below'><li id="field_5_5" class="gfield gravity_head gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below field_description_below gfield_visibility_visible" data-js-reload="field_5_5"><h3>Get emails</h3></li><li id="field_5_1" class="gfield gfield_contains_required field_sublabel_hidden_label field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_5_1"><label class='gfield_label gfield_label_before_complex' >Name<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_complex ginput_container no_prefix has_first_name no_middle_name has_last_name no_suffix gf_name_has_2 ginput_container_name' id='input_5_1'> <span id='input_5_1_3_container' class='name_first' > <input type='text' name='input_1.3' id='input_5_1_3' value='' tabindex='65' aria-required='true' placeholder='First Name*' /> <label for='input_5_1_3' class='hidden_sub_label screen-reader-text'>First</label> </span> <span id='input_5_1_6_container' class='name_last' > <input type='text' name='input_1.6' id='input_5_1_6' value='' tabindex='67' aria-required='true' placeholder='Last Name*' /> <label for='input_5_1_6' class='hidden_sub_label screen-reader-text'>Last</label> </span> </div></li><li id="field_5_2" class="gfield gfield_contains_required field_sublabel_below field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_5_2"><label class='gfield_label' for='input_5_2' >Email<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_container ginput_container_email'> <input name='input_2' id='input_5_2' type='email' value='' class='large' tabindex='69' placeholder='Email*' aria-required="true" aria-invalid="false" /> </div></li><li id="field_5_4" class="gfield gf-conf-check gfield_contains_required field_sublabel_below field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_5_4"><label class='gfield_label gfield_label_before_complex' >Confirmation<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_container ginput_container_checkbox'><ul class='gfield_checkbox' id='input_5_4'><li class='gchoice gchoice_5_4_1'> <input class='gfield-choice-input' name='input_4.1' type='checkbox' value='Consent' id='choice_5_4_1' tabindex='70' /> <label for='choice_5_4_1' id='label_5_4_1'>Please keep me updated on new website content and Radix news. (We will process your data in accordance with our <span class="pp"><a href="https://radixuk.org/privacy-policy/">Privacy Policy</a></span>. You may withdraw this consent at any time by <a href="mailto:[email protected]">emailing us</a> or clicking “unsubscribe” at the bottom of our emails).</label> </li></ul></div></li><li id="field_5_6" class="gfield gform_validation_container field_sublabel_below field_description_below gfield_visibility_visible" data-js-reload="field_5_6"><label class='gfield_label' for='input_5_6' >Comments</label><div class='ginput_container'><input name='input_6' id='input_5_6' type='text' value='' autocomplete='new-password'/></div><div class='gfield_description' id='gfield_description_5_6'>This field is for validation purposes and should be left unchanged.</div></li></ul></div> <div class='gform_footer top_label'> <input type='submit' id='gform_submit_button_5' class='gform_button button' value='SUBSCRIBE' tabindex='71' onclick='if(window["gf_submitting_5"]){return false;} if( !jQuery("#gform_5")[0].checkValidity || jQuery("#gform_5")[0].checkValidity()){window["gf_submitting_5"]=true;} ' onkeypress='if( event.keyCode == 13 ){ if(window["gf_submitting_5"]){return false;} if( !jQuery("#gform_5")[0].checkValidity || jQuery("#gform_5")[0].checkValidity()){window["gf_submitting_5"]=true;} jQuery("#gform_5").trigger("submit",[true]); }' /> <input type='hidden' name='gform_ajax' value='form_id=5&amp;title=&amp;description=&amp;tabindex=64' /> <input type='hidden' class='gform_hidden' name='is_submit_5' value='1' /> <input type='hidden' class='gform_hidden' name='gform_submit' value='5' /> <input type='hidden' class='gform_hidden' name='gform_unique_id' value='' /> <input type='hidden' class='gform_hidden' name='state_5' value='WyJbXSIsIjg1ZGYwZWM3YzAyMDRmYTcyZDYxNmIwMWJiNmFhYzVhIl0=' /> <input type='hidden' class='gform_hidden' name='gform_target_page_number_5' id='gform_target_page_number_5' value='0' /> <input type='hidden' class='gform_hidden' name='gform_source_page_number_5' id='gform_source_page_number_5' value='1' /> <input type='hidden' name='gform_field_values' value='' /> </div> <p style="display: none !important;"><label>&#916;<textarea name="ak_hp_textarea" cols="45" rows="8" maxlength="100"></textarea></label><input type="hidden" id="ak_js_4" name="ak_js" value="40"/><script>document.getElementById( "ak_js_4" ).setAttribute( "value", ( new Date() ).getTime() );</script></p></form> </div> <iframe style='display:none;width:0px;height:0px;' src='about:blank' name='gform_ajax_frame_5' id='gform_ajax_frame_5' title='This iframe contains the logic required to handle Ajax powered Gravity Forms.'></iframe> <script type="text/javascript"> gform.initializeOnLoaded( function() {gformInitSpinner( 5, 'https://radixuk.org/wp-content/plugins/gravityforms/images/spinner.svg' );jQuery('#gform_ajax_frame_5').on('load',function(){var contents = jQuery(this).contents().find('*').html();var is_postback = contents.indexOf('GF_AJAX_POSTBACK') >= 0;if(!is_postback){return;}var form_content = jQuery(this).contents().find('#gform_wrapper_5');var is_confirmation = jQuery(this).contents().find('#gform_confirmation_wrapper_5').length > 0;var is_redirect = contents.indexOf('gformRedirect(){') >= 0;var is_form = form_content.length > 0 && ! is_redirect && ! is_confirmation;var mt = parseInt(jQuery('html').css('margin-top'), 10) + parseInt(jQuery('body').css('margin-top'), 10) + 100;if(is_form){jQuery('#gform_wrapper_5').html(form_content.html());if(form_content.hasClass('gform_validation_error')){jQuery('#gform_wrapper_5').addClass('gform_validation_error');} else {jQuery('#gform_wrapper_5').removeClass('gform_validation_error');}setTimeout( function() { /* delay the scroll by 50 milliseconds to fix a bug in chrome */ jQuery(document).scrollTop(jQuery('#gform_wrapper_5').offset().top - mt); }, 50 );if(window['gformInitDatepicker']) {gformInitDatepicker();}if(window['gformInitPriceFields']) {gformInitPriceFields();}var current_page = jQuery('#gform_source_page_number_5').val();gformInitSpinner( 5, 'https://radixuk.org/wp-content/plugins/gravityforms/images/spinner.svg' );jQuery(document).trigger('gform_page_loaded', [5, current_page]);window['gf_submitting_5'] = false;}else if(!is_redirect){var confirmation_content = jQuery(this).contents().find('.GF_AJAX_POSTBACK').html();if(!confirmation_content){confirmation_content = contents;}setTimeout(function(){jQuery('#gform_wrapper_5').replaceWith(confirmation_content);jQuery(document).scrollTop(jQuery('#gf_5').offset().top - mt);jQuery(document).trigger('gform_confirmation_loaded', [5]);window['gf_submitting_5'] = false;wp.a11y.speak(jQuery('#gform_confirmation_message_5').text());}, 50);}else{jQuery('#gform_5').append(contents);if(window['gformRedirect']) {gformRedirect();}}jQuery(document).trigger('gform_post_render', [5, current_page]);} );} ); </script>
[gravityform id=6 title=false description=false ajax=true tabindex=999]
<div class='gf_browser_unknown gform_wrapper gform_legacy_markup_wrapper' id='gform_wrapper_6' ><div id='gf_6' class='gform_anchor' tabindex='-1'></div><form method='post' enctype='multipart/form-data' target='gform_ajax_frame_6' id='gform_6' action='/opinion/archimedes-lever/#gf_6' novalidate> <div class='gform_body gform-body'><ul id='gform_fields_6' class='gform_fields top_label form_sublabel_below description_below'><li id="field_6_5" class="gfield gravity_head gfield_html gfield_html_formatted gfield_no_follows_desc field_sublabel_below field_description_below gfield_visibility_visible" data-js-reload="field_6_5"><h3>Before you go!</h3> <p>Stay up to date with what's happening at Radix. Get email notifications</p></li><li id="field_6_1" class="gfield gfield_contains_required field_sublabel_hidden_label field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_6_1"><label class='gfield_label gfield_label_before_complex' >Name<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_complex ginput_container no_prefix has_first_name no_middle_name has_last_name no_suffix gf_name_has_2 ginput_container_name' id='input_6_1'> <span id='input_6_1_3_container' class='name_first' > <input type='text' name='input_1.3' id='input_6_1_3' value='' tabindex='1000' aria-required='true' placeholder='First Name*' /> <label for='input_6_1_3' class='hidden_sub_label screen-reader-text'>First</label> </span> <span id='input_6_1_6_container' class='name_last' > <input type='text' name='input_1.6' id='input_6_1_6' value='' tabindex='1002' aria-required='true' placeholder='Last Name*' /> <label for='input_6_1_6' class='hidden_sub_label screen-reader-text'>Last</label> </span> </div></li><li id="field_6_2" class="gfield gfield_contains_required field_sublabel_below field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_6_2"><label class='gfield_label' for='input_6_2' >Email<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_container ginput_container_email'> <input name='input_2' id='input_6_2' type='email' value='' class='large' tabindex='1004' placeholder='Email*' aria-required="true" aria-invalid="false" /> </div></li><li id="field_6_4" class="gfield gf-conf-check gfield_contains_required field_sublabel_below field_description_below hidden_label gfield_visibility_visible" data-js-reload="field_6_4"><label class='gfield_label gfield_label_before_complex' >Confirmation<span class="gfield_required"><span class="gfield_required gfield_required_asterisk">*</span></span></label><div class='ginput_container ginput_container_checkbox'><ul class='gfield_checkbox' id='input_6_4'><li class='gchoice gchoice_6_4_1'> <input class='gfield-choice-input' name='input_4.1' type='checkbox' value='Please keep me updated on new website content and Radix news. (We will process your data in accordance with our <span class="pp"><a href="https://radixuk.org/privacy-policy/">Privacy Policy</a></span>. You may withdraw this consent at any time by &lt;a href=&quot;"mailto:[email protected]"&quot;&gt;emailing us&lt;/a&gt; or clicking “unsubscribe” at the bottom of our emails).' id='choice_6_4_1' tabindex='1005' /> <label for='choice_6_4_1' id='label_6_4_1'>Please keep me updated on new website content and Radix news. (We will process your data in accordance with our <span class="pp"><a href="https://radixuk.org/privacy-policy/">Privacy Policy</a></span>. You may withdraw this consent at any time by <a href="mailto:[email protected]">emailing us</a> or clicking “unsubscribe” at the bottom of our emails).</label> </li></ul></div></li><li id="field_6_6" class="gfield gform_validation_container field_sublabel_below field_description_below gfield_visibility_visible" data-js-reload="field_6_6"><label class='gfield_label' for='input_6_6' >Phone</label><div class='ginput_container'><input name='input_6' id='input_6_6' type='text' value='' autocomplete='new-password'/></div><div class='gfield_description' id='gfield_description_6_6'>This field is for validation purposes and should be left unchanged.</div></li></ul></div> <div class='gform_footer top_label'> <input type='submit' id='gform_submit_button_6' class='gform_button button' value='SUBSCRIBE' tabindex='1006' onclick='if(window["gf_submitting_6"]){return false;} if( !jQuery("#gform_6")[0].checkValidity || jQuery("#gform_6")[0].checkValidity()){window["gf_submitting_6"]=true;} ' onkeypress='if( event.keyCode == 13 ){ if(window["gf_submitting_6"]){return false;} if( !jQuery("#gform_6")[0].checkValidity || jQuery("#gform_6")[0].checkValidity()){window["gf_submitting_6"]=true;} jQuery("#gform_6").trigger("submit",[true]); }' /> <input type='hidden' name='gform_ajax' value='form_id=6&amp;title=&amp;description=&amp;tabindex=999' /> <input type='hidden' class='gform_hidden' name='is_submit_6' value='1' /> <input type='hidden' class='gform_hidden' name='gform_submit' value='6' /> <input type='hidden' class='gform_hidden' name='gform_unique_id' value='' /> <input type='hidden' class='gform_hidden' name='state_6' value='WyJbXSIsIjg1ZGYwZWM3YzAyMDRmYTcyZDYxNmIwMWJiNmFhYzVhIl0=' /> <input type='hidden' class='gform_hidden' name='gform_target_page_number_6' id='gform_target_page_number_6' value='0' /> <input type='hidden' class='gform_hidden' name='gform_source_page_number_6' id='gform_source_page_number_6' value='1' /> <input type='hidden' name='gform_field_values' value='' /> </div> <p style="display: none !important;"><label>&#916;<textarea name="ak_hp_textarea" cols="45" rows="8" maxlength="100"></textarea></label><input type="hidden" id="ak_js_5" name="ak_js" value="77"/><script>document.getElementById( "ak_js_5" ).setAttribute( "value", ( new Date() ).getTime() );</script></p></form> </div> <iframe style='display:none;width:0px;height:0px;' src='about:blank' name='gform_ajax_frame_6' id='gform_ajax_frame_6' title='This iframe contains the logic required to handle Ajax powered Gravity Forms.'></iframe> <script type="text/javascript"> gform.initializeOnLoaded( function() {gformInitSpinner( 6, 'https://radixuk.org/wp-content/plugins/gravityforms/images/spinner.svg' );jQuery('#gform_ajax_frame_6').on('load',function(){var contents = jQuery(this).contents().find('*').html();var is_postback = contents.indexOf('GF_AJAX_POSTBACK') >= 0;if(!is_postback){return;}var form_content = jQuery(this).contents().find('#gform_wrapper_6');var is_confirmation = jQuery(this).contents().find('#gform_confirmation_wrapper_6').length > 0;var is_redirect = contents.indexOf('gformRedirect(){') >= 0;var is_form = form_content.length > 0 && ! is_redirect && ! is_confirmation;var mt = parseInt(jQuery('html').css('margin-top'), 10) + parseInt(jQuery('body').css('margin-top'), 10) + 100;if(is_form){jQuery('#gform_wrapper_6').html(form_content.html());if(form_content.hasClass('gform_validation_error')){jQuery('#gform_wrapper_6').addClass('gform_validation_error');} else {jQuery('#gform_wrapper_6').removeClass('gform_validation_error');}setTimeout( function() { /* delay the scroll by 50 milliseconds to fix a bug in chrome */ jQuery(document).scrollTop(jQuery('#gform_wrapper_6').offset().top - mt); }, 50 );if(window['gformInitDatepicker']) {gformInitDatepicker();}if(window['gformInitPriceFields']) {gformInitPriceFields();}var current_page = jQuery('#gform_source_page_number_6').val();gformInitSpinner( 6, 'https://radixuk.org/wp-content/plugins/gravityforms/images/spinner.svg' );jQuery(document).trigger('gform_page_loaded', [6, current_page]);window['gf_submitting_6'] = false;}else if(!is_redirect){var confirmation_content = jQuery(this).contents().find('.GF_AJAX_POSTBACK').html();if(!confirmation_content){confirmation_content = contents;}setTimeout(function(){jQuery('#gform_wrapper_6').replaceWith(confirmation_content);jQuery(document).scrollTop(jQuery('#gf_6').offset().top - mt);jQuery(document).trigger('gform_confirmation_loaded', [6]);window['gf_submitting_6'] = false;wp.a11y.speak(jQuery('#gform_confirmation_message_6').text());}, 50);}else{jQuery('#gform_6').append(contents);if(window['gformRedirect']) {gformRedirect();}}jQuery(document).trigger('gform_post_render', [6, current_page]);} );} ); </script>