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Warning [2] Undefined array key "avatartype" - Line: 811 - File: global.php PHP 8.0.17 (Linux)
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Warning [2] Undefined property: MyLanguage::$lang_select_default - Line: 5196 - File: inc/functions.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key "additionalgroups" - Line: 7360 - File: inc/functions.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key "mybb" - Line: 1997 - File: inc/functions.php PHP 8.0.17 (Linux)
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Warning [2] Undefined property: MyLanguage::$ratings_update_error - Line: 5 - File: showthread.php(768) : eval()'d code PHP 8.0.17 (Linux)
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Warning [2] Undefined variable $postsdone - Line: 901 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 9 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 130 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 132 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 154 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 159 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 160 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 170 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 175 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 394 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 396 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 398 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 401 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 404 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 406 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 407 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 408 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 409 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 410 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 411 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 412 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 413 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 414 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 418 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 423 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 425 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 428 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 429 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 518 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 520 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 524 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 525 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 527 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 528 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 530 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 533 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 534 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 535 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 536 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 542 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 545 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 547 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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/showthread.php 907 errorHandler->error
Warning [2] Undefined array key 551 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 555 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 557 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 559 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 560 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 562 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 639 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 680 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 693 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 695 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 696 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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Warning [2] Undefined array key 701 - Line: 907 - File: showthread.php PHP 8.0.17 (Linux)
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
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File Line Function
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File Line Function
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
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File Line Function
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 907 errorHandler->error
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File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
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File Line Function
/showthread.php 1630 errorHandler->error
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File Line Function
/showthread.php 1630 errorHandler->error
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File Line Function
/showthread.php 1630 errorHandler->error
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/showthread.php 919 buildtree
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File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 170 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
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Warning [2] Undefined array key 175 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 394 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
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/showthread.php 919 buildtree
Warning [2] Undefined array key 396 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 398 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
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/showthread.php 919 buildtree
Warning [2] Undefined array key 401 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 402 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
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/showthread.php 919 buildtree
Warning [2] Undefined array key 404 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 407 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
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/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 408 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 409 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 410 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 411 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 412 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 413 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
File Line Function
/showthread.php 1630 errorHandler->error
/showthread.php 1632 buildtree
/showthread.php 919 buildtree
Warning [2] Undefined array key 414 - Line: 1630 - File: showthread.php PHP 8.0.17 (Linux)
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Bell's theorem - for or against Hidden Variables?
#1
The violation of Bell's inequality is considered by many scientists as one of the strongest arguments against Hidden Variable Theories. Last but not least, it forbids a whole class of  such Hidden Variable Theories, usually named (I think misleadingly) "local realistic theories".  

So, it may be a surprise for many people that Bell himself was one of a few, at this time, almost the only one, defender of the most famous Hidden Variable Theory, de Broglie-Bohm theory (dBB), also known as Bohmian mechanics.  How is it possible that a defender of a Hidden Variable Theory is the one who has found one of the most important theorems against Hidden Variable Theories?  A theorem which, as many think, proves that dBB theory is wrong?  This sounds like if the best argument against a theory comes from the only defender of that theory.

Of course, the situation is a little bit different.  Bell's theorem is a problem only for a very special class of Hidden Variable Theories, and the theory defended by Bell is not in this class, thus, not endangered at all by his theorem.  Instead, this theorem solves, in an indirect way, one powerful objection against dBB theory:  The problem is that dBB theory requires a preferred frame. What happens here and now immediately influences what happens far away - immediately, that means, without caring about the speed limit of causal influences imposed by Einstein causality.  

But to violate Einstein causality is a strong argument against a theory - even if it is a Hidden Variable theory.  Hidden or not, the relativistic metaphysics postulates that everything should follow relativistic symmetry. So, the question arises if one can improve dBB theory in such a way that it becomes Lorentz-symmetric too, that means, if there exists an Einstein-causal Hidden Variable Theory.  What Bell has proven is that such a theory does not exist.  So, one cannot make dBB theory Lorentz-symmetric.  It violates Lorentz symmetry, because all Hidden Variable Theories have to violate Lorentz symmetry, because improving it in this direction is impossible.  

As a side effect, Bell's theorem connects the two otherwise quite different classes of Hidden Variable Theories we consider here: Those of quantum theory, which try to revive the classical ideas about reality by introducing hidden trajectories of physical objects, and those of relativity, which try to revive classical ideas about space and time by introducing a hidden preferred frame: If you want hidden variables for quantum theory, you have to have also hidden variables for relativity. 

But there is another aspect, which transforms Bell's theorem even into a strong argument in favour of Hidden Variables. This aspect is hidden behind a popular but wrong simplification of Bell's theorem, namely, that it presupposes the existence of Hidden Variables.  It doesn't.  The existence of these hidden variables is derived in the first part of the theorem.  This is usually ignored, because this first part was only shortly mentioned in Bell's paper - with a reference to the EPR argument.  This first part is, essentially, the EPR argument that Quantum Theory is incomplete, a conclusion derived from a different assumption - the EPR criterion of reality.  

So, Bell's theorem derives Bell's inequality from Einstein causality, together with the EPR criterion of reality.  Once Bell's inequalities are violated, one of the assumptions has to be false.  So, if we postulate the EPR criterion of reality, and use the violation of Bell's inequality as a fact, we can derive that there exists a preferred frame - the Hidden Variable for relativity.  

Even more, for those who think realism is a dubious, questionable assumption, there is a variant which does not mention even realism, but is based on causality alone.  All it needs is Reichenbach's principle of common cause:  If we observe a correlation, there has to exist a causal explanation.  And there are two possible causal explanations: either one event is the cause of the other, or they have a common cause.  What is excluded by Bell's theorem is the causal explanation by a common cause in the past. What remains as a causal explanation is one event causally influencing the other.  Which is the cause, which is the effect, remains unknown by the nature of the argument.  But, if the two events are space-like separated, above remaining explanations violate Einstein causality.  So, there have to exist hidden causal influences violating Einstein causality. 

So, it appears that Bell's theorem provides strong arguments in favor of a hidden preferred frame.
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Bell's theorem - for or against Hidden Variables? - by Schmelzer - 12-20-2015, 07:01 PM

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