PHP Time Dilation: Calculate the time dilation between objects

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Not enough user ratings				Total: 198		All time: 8,502 This week: 555

Version		License		PHP version		Categories
`time-dilation` 1.0		Public Domain		5		PHP 5, Physics

Description

Author

Dave Smith

This class can calculate the time dilation between objects.

It applies Einstein's theory of special relativity to calculate the time dilation between a moving object and a stationary one.

The class can return results from either observer frame, moving or stationary.

It can convert time and velocity elements into units per second, supporting both metric and USA standards.

Innovation Award

June 2015
Number 8

According to Einstein Theory of Relativity, time dilation is a difference of elapsed time between two subjects measured by observers either moving at different speeds relative to each other.

This class can compute the difference of perceived time elapsed between two objects moving at different speeds.

Manuel Lemos

Dave Smith

Performance

Level

Name:	Dave Smith `<contact>`
Classes:	51 packages by Dave Smith
Country:	United States

Level 7

Innovation award

Nominee: 32x

Winner: 7x

Example


<?PHP


/*


In this example, we use $v to represent velocity and $t to represent time. Each value is converted to seconds


to be compared against the speed of light in seconds.


*/


include('time_dilation.class.php');


$tdil = new time_dilation;





if( !empty($_REQUEST['formSubmitted']) ){


    


    $velocity = ( empty($_REQUEST['velocity']) ) ? 0 : $_REQUEST['velocity'];


    $unit = $_REQUEST['unit'];


    $timeFrame = $_REQUEST['timeFrame'];


    $years = ( empty($_REQUEST['years']) ) ? 0 : $_REQUEST['years'];


    $months = ( empty($_REQUEST['months']) ) ? 0 : $_REQUEST['months'];


    $days = ( empty($_REQUEST['days']) ) ? 0 : $_REQUEST['days'];


    $hours = ( empty($_REQUEST['hours']) ) ? 0 : $_REQUEST['hours'];


    $minutes = ( empty($_REQUEST['minutes']) ) ? 0 : $_REQUEST['minutes'];


    $seconds = ( empty($_REQUEST['seconds']) ) ? 0 : $_REQUEST['seconds'];


    $percLight = ( empty($_REQUEST['percLight']) ) ? 0 : $_REQUEST['percLight'];


    


    if( $unit == 'metric' ){


        $tdil->setSpeedOfLight('metric');


    }elseif( $unit == 'usa' ){


        $tdil->setSpeedOfLight('usa');


    }


    


    switch( $_REQUEST['timeSelect'] ){


        case 'veryNearLight':


            $v = $tdil->speedOfLight*.999999999;


            break;


        case 'percLight':


            $v = $tdil->speedOfLight*($percLight/100);


            break;


        default:


            $v = $tdil->velocityToSec($velocity,$timeFrame);


    }


    


    $t = $tdil->timeToSec($seconds,$minutes,$hours,$days,$months,$years);


    


    switch( $_REQUEST['observer'] ){


        case 'stationary':


            $astro = $tdil->secToTime($t);


            $earth = $tdil->dilation($t,$v,'stationary');


            break;


        case 'moving':


            $earth = $tdil->secToTime($t);


            $astro = $tdil->dilation($t,$v);


            break;


    }


}else{


    $_REQUEST['timeSelect'] = 'percLight';


    $_REQUEST['observer'] = 'moving';


}


?>


<html>


    <head>


        <title>Time Dilation Example</title>


        <style>


            a {


                color: black;


                text-decoration: none;


            }


            a:hover {


                color: red;


            }


        </style>


    </head>


    <body>


        <p>This example uses the classic scenario where two twins are in the space program. One is an astronaut and takes off from earth in a spaceship while the other stays on earth to monitor his progress. The faster the astronaut travels, the larger the spread will be between their ages.</p>


        <form method="post">


            <h4>Velocity</h4>


            <div>


                Astronaut will be traveling...


                <div style="margin-top:10px;">


                    <input type="radio" name="timeSelect" value="percLight"<?PHP echo ( $_REQUEST['timeSelect'] == 'percLight' ) ? ' checked' : '';?>> at <input type="text" name="percLight" value="<?PHP echo ( !empty($_REQUEST['percLight']) ) ? $_REQUEST['percLight'] : '';?>" size="4"> precent of light speed


                </div>


                <div style="margin-top:10px;">


                    <input type="radio" name="timeSelect" value="veryNearLight"<?PHP echo ( $_REQUEST['timeSelect'] == 'veryNearLight' ) ? ' checked' : '';?>> very near light speed


                </div>


                <div style="margin-top:10px;">


                    <input type="radio" name="timeSelect" value="custom"<?PHP echo ( $_REQUEST['timeSelect'] == 'custom' ) ? ' checked' : '';?>> at a rate of <input type="text" name="velocity" value="<?PHP echo ( !empty($_REQUEST['velocity']) ) ? $_REQUEST['velocity'] : '';?>" size="6">&nbsp;


                    <select name="unit">


                        <option value="usa"<?PHP echo ( !empty($_REQUEST['unit']) AND $_REQUEST['unit'] == 'usa' ) ? ' selected' : '';?>>miles</option>


                        <option value="metric"<?PHP echo ( !empty($_REQUEST['unit']) AND $_REQUEST['unit'] == 'metric' ) ? ' selected' : '';?>>kilometres</option>


                    </select>


                    <select name="timeFrame">


                        <option value="second"<?PHP echo ( !empty($_REQUEST['timeFrame']) AND $_REQUEST['timeFrame'] == 'second' ) ? ' selected' : '';?>>per Second</option>


                        <option value="minute"<?PHP echo ( !empty($_REQUEST['timeFrame']) AND $_REQUEST['timeFrame'] == 'minute' ) ? ' selected' : '';?>>per Minute</option>


                        <option value="hour"<?PHP echo ( !empty($_REQUEST['timeFrame']) AND $_REQUEST['timeFrame'] == 'hour' ) ? ' selected' : '';?>>per Hour</option>


                    </select>


                <div>


            </div>


            <h4>Time</h4>


            <div>


                Astronaut will be traveling for...<br>


                <input type="text" name="years" size="4" value="<?PHP echo ( !empty($_REQUEST['years']) ) ? $_REQUEST['years'] : '';?>"> Year(s)<br>


                <input type="text" name="months" size="4" value="<?PHP echo ( !empty($_REQUEST['months']) ) ? $_REQUEST['months'] : '';?>"> Month(s)<br>


                <input type="text" name="days" size="4" value="<?PHP echo ( !empty($_REQUEST['days']) ) ? $_REQUEST['days'] : '';?>"> Day(s)<br>


                <input type="text" name="hours" size="4" value="<?PHP echo ( !empty($_REQUEST['hours']) ) ? $_REQUEST['hours'] : '';?>"> Hour(s)<br>


                <input type="text" name="minutes" size="4" value="<?PHP echo ( !empty($_REQUEST['minutes']) ) ? $_REQUEST['minutes'] : '';?>"> Minute(s)<br>


                <input type="text" name="seconds" size="4" value="<?PHP echo ( !empty($_REQUEST['seconds']) ) ? $_REQUEST['seconds'] : '';?>"> Second(s)<br>


            </div>


            <h4>Observer</h4>


            <div>


                As observed by the...<br>


                <input type="radio" name="observer" value="moving"<?PHP echo ( $_REQUEST['observer'] == 'moving' ) ? ' checked' : '';?>> Astronaut<br>


                <input type="radio" name="observer" value="stationary"<?PHP echo ( $_REQUEST['observer'] == 'stationary' ) ? ' checked' : '';?>> Earth<br>


            </div>


            <div style="margin-top:20px;">


                <input type="hidden" name="formSubmitted" value="1">


                <input type="submit" name="submitForm" value="Calculate">&nbsp;


                [<a href="example.php">start over</a>]


            </div>


        </form>


<?PHP


if( !empty($astro) ){


?>


        <div style="margin-top:20px;">


            Astronaut traveled for <?PHP echo $earth['years'];?> years, <?PHP echo $earth['months'];?> months, <?PHP echo $earth['days'];?> days, <?PHP echo $earth['hours'];?> hours, <?PHP echo $earth['minutes'];?> minutes, <?PHP echo $earth['seconds'];?> seconds and <?PHP echo $earth['remainder'];?> of a second


        </div>


        <div style="margin-top:10px;">


            The time passed on earth is <?PHP echo $astro['years'];?> years, <?PHP echo $astro['months'];?> months, <?PHP echo $astro['days'];?> days, <?PHP echo $astro['hours'];?> hours, <?PHP echo $astro['minutes'];?> minutes, <?PHP echo $astro['seconds'];?> seconds and <?PHP echo $astro['remainder'];?> of a second


        </div>


<?PHP


}


?>


    </body>


</html>

Files (2)

File	Role	Description
`example.php`	Example	Example Usage
`time_dilation.class.php`	Class	Main Class

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All time:	8,502
This week:	555

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