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مقالۀ پژوهشی: تاثیر اصل عدم قطعیت تعمیم یافته با طول بیشینه براندازه کوتوله های سفید | ||
| فیزیک کاربردی ایران | ||
| مقاله 3، دوره 15، شماره 1 - شماره پیاپی 40، فروردین 1404، صفحه 35-50 اصل مقاله (2.14 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22051/ijap.2025.48511.1428 | ||
| نویسنده | ||
| سجاد پارسامهر* | ||
| استادیار، گروه فیزیک، واحد کرمانشاه، دانشگاه آزاد اسلامی، کرمانشاه، ایران | ||
| چکیده | ||
| چالش در توسعه نظریه گرانش کوانتومی ناشی از روش‌های اساسی متفاوتی است که این دو نظریه برای شرح سامانه‌های فیزیکی به کار می‌برند. مکانیک کوانتومی بر اساس اصول گسسته و احتمالی عمل می‌کند، در حالی که نسبیت عام یک نظریه پیوسته و قطعی است. اصل عدم‌قطعیت تعمیم‌یافته یک نسخه اصلاح‌شده از اصل عدم‌قطعیت هایزنبرگ است که اصلاحات گرانشی کوانتومی را در سامانه‌هایی با گرانش قوی اعمال می‌کند. نمونه بارزی از این سامانه‌ها کوتوله‌های سفید هستند. در کوتوله‌های سفید فشارتبهگنی پشتیبانی لازم را در برابر فروپاشی گرانشی فراهم می‌کند. با این وجود، نشان داده شده است که اصل عدم‌قطعیت تعمیم‌یافته در حضور طول کمینه، حد چاندراسخار را نفی می‌کند و به کوتوله‌های سفید اجازه می‌دهد تا به هر اندازه نامحدودی بزرگ شوند، که این خود در تضاد با مشاهدات اختر فیزیکی می‌باشد. این مقاله رابطه بین فشار تبهگنی و چگالی در کوتوله‌های سفید را با استفاده از یک شکل جایگزین از اصل عدم‌قطعیت که بیشینه طول را در برمی‌گیرد، اصلاح می‌کند. ما نشان می‌دهیم که این فرمالیزم جدید حد چاندراسخار را بازیابی می‌کند و اختلاف بین نظریه و مشاهده را برطرف می‌کند. | ||
| کلیدواژه‌ها | ||
| اصل عدم قطعیت تعمیم یافته؛ گرانشی کوانتومی؛ حد چاندراسخار؛ کوتوله‌های سفید؛ طول بیشینه | ||
| عنوان مقاله [English] | ||
| Research Paper: The Effect of the Generalized Uncertainty Principle with Maximum Length on the Size of White Dwarfs | ||
| نویسندگان [English] | ||
| Sajad Parsamehr | ||
| Assistant Professor,Department of Physics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran | ||
| چکیده [English] | ||
| The challenge in developing a theory of quantum gravity stems from the fundamentally different ways the two theories describe physical systems. Quantum mechanics operates on discrete, probabilistic principles, while general relativity is a continuous, deterministic theory. The generalized uncertainty principle is a modified version of Heisenberg's uncertainty principle that applies quantum gravitational corrections to systems with strong gravity. As a clear example of these systems, white dwarfs can be mentioned. In white dwarfs, the gravitational pressure provides the necessary support against gravitational collapse, however, the generalized uncertainty principle has been shown to negate the Chandrasekhar limit in the presence of a minimum length, allowing white dwarfs to grow to any size, even infinitely large, which is in contradiction with physical astrophysical observations. This paper modifies the relationship between degeneracy pressure and density in white dwarfs using an alternative form of the uncertainty principle that incorporates a maximum length. We demonstrate that this new formalism recovers the Chandrasekhar limit and resolves the discrepancy between theory and observation. | ||
| کلیدواژه‌ها [English] | ||
| Generalized Uncertainty Principle, Quantum Gravity, Chandrasekhar Limit, White Dwarfs, Maximum Length | ||
| مراجع | ||
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