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Author 陳士濱 (撰)
Source 2012華嚴一甲子回顧學術研討會論文集下冊
Pages333 - 366
Publisher Url
Location臺北市, 臺灣 [Taipei shih, Taiwan]
Content type會議論文=Proceeding Article
Note作者單位:德霖技術學院通識中心 助理教授
Keyword分形=Fractal; 全息=Holography; 《華嚴經》; 一即一切; 自我相似性
Abstract「分形」(fractal)的概念是由美籍數學家伯奴瓦 ·曼德布羅特(BenoitMandelbrot 1924-2010)於 1967 年首先提出,他認為一切事物的「局部」形態與「整體」形態總是「相似」的,這種「自我相似性」(self-similarity)形態廣泛存在於自然界中,如:海岸線、飄浮的雲花、岩石的斷裂口、綿延的山川、大腦皮層構造、花耶菜形、天際星系、蛋白質高分子結構……等都有這種「分形」的特徵。如果能了解「單一」的個體,就可掌握到「全體」,此即《華嚴經‧卷六》「一塵中現無量剎」的哲學觀。「全息」(Holography)理論又稱「全像」理論,與「分形」是相似的學說,「全息」理論由美國物理學家大衛.玻姆(David Bohm 1917-1992)所提出,在不探討物件的複雜性問題下,他認為宇宙在「高維」(Higher Dimensions)系統中是一個不可分割的「整體」,但在「三維空間」時卻變成了獨立的個體。他的「全息理論」即是《華嚴經‧卷五》「一能為無量,無量能為一」的哲學觀。本論將探討與《華嚴經》相呼應的「分形」與「全息」理論哲學觀,進而了解宇宙萬物都是微妙地相連著,宇宙與我乃「無二無別」之理。

“Fractal,” an idea first coined by the American mathematician Benoit Mandelbrot in 1967, refers to the “similarity” existing between the “fragmented shape” and the “holistic shape” of everything. While “fractal” is a mathematical construct, its manifestation, “self-similarity,” can be found widely in nature, e.g. coastlines, floating cloud-flakes, cross sections of rocks, mountain ranges, cerebral
cortex, shape of cauliflower and broccoli, galaxies, and the molecule structure of protein. If a person can grasp the essence of the “oneness” of an entity, the person can intuitively understand the “wholeness” of that entity. This is the key
philosophical outlook espoused by the 6th scroll of the Avatamsaka Sutra, “in a dust mote there is infinite Buddha lands.”
The theory of “holograph,” also called the theory of the “whole-picture,” is offered by the physicist David Bohm and is similar to that of “fractal.” This theory doesn’t aim at the discussion of complexity. Bohm opines that the universe observed under the system of “higher dimensions” is a “holistic unity” which cannot be divided. The universe, however, when observed in the “three dimensions,” becomes an independent entity. This “holographic theory” echoes the philosophical outlook of the 5th scroll of the Avatamsaka Sutra, that is, “ the one is all and the all is one.”
This paper aims to explore the philosophical theories of “fractal” and “holograph,” with the teachings of the Avatamsaka Sutra as the base. Everything in this universe is subtly connected in a way of “non-duality.”
Table of contents一、前言 335
二、「分形」理論的哲學觀 336
(一)「分形」理論介紹 336
(二)部份與整體的哲學 339
(三)「自相似性」與「非自生、非他生」哲學 342
三、「全息」理論的哲學觀 345
(一)「全息」理論介紹 345
(二)一即一切的全息觀 353
四、結論 361
Created date2021.12.01
Modified date2021.12.02

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