Fibonacci Sequence and Its Derivative Golden Spiral, music,Healing System

睡眠系列921: 斐波那契数列及其衍生的黄金螺旋和音乐的疗愈体系
斐波那契数列：0，1，1，2，3，5，8，13，21，34，55，89……这个数列从第3项开始 ，每一项都等于前两项之和，并且越往后，前一项与后一项的比值越来越逼近黄金分割0.618，该数列在几何上的图像体现被称为黄金螺旋，在贝壳、向日葵、银河系星云等许多图案上都能看到这样的黄金螺线，并且数列的递进还暗含着道生一、一生二、三生万物的自然法则，所以有人将其视为“上帝的指纹”或“宇宙的源程序”。
正因为斐波拉契数列有许许多多神奇的特性和未解之谜，人们围绕它开发了一系列的疗愈体系，以下列举一些：
1、斐波那契音乐和音叉疗愈，基于斐波那契数列的音乐丰富多彩， 比如；Tool乐队的《Lateralus》就是基于斐波拉契螺旋生成的；德彪西的《水中的倒影》中部分乐章对应菲波那契数；144Hz音乐，专门用于引导听者进入一种深层的平和状态，安抚身心。
斐波拉契音叉则会产生一系列特定的频率，遵循斐波拉契数列，创造出一种“螺旋上升”的音场，这些频率可以帮助经历创伤或长期焦虑的人打破“思维循环”，就像螺旋线一样，将意识从紧缩的状态拉向开阔。
2、动态视觉观想与冥想，网上有很多基于“黄金比例螺旋”的引导视频或图案，你可以观看或者观想这些不断向外或者向内旋转的黄金螺旋，同时配合特定的呼吸频率，这样能有效地诱发阿尔法波或德尔塔波，类似于“视觉曼陀罗”，能让焦虑的大脑沉静下来，达到一定的放松疗愈或者助眠的效果。
在观赏黄金螺旋的同时可以引导自己：“我的身体或心灵虽然在经历一些波动，但这些都只是过渡性的暂时状态，我正处于一个完美的宇宙法则之中，我的每一个细胞都在按照这种神圣的秩序随着螺旋的展开自我修复”。
3、菲波那契呼吸，吸气时默念1 → 2 → 3 → 5 → 8，呼气时默念1 → 2 → 3 → 5 → 8 → 13 → 21，呼气时比吸气时多念两个数字，这样有助于激活副交感神经，放松助眠。

Sleep Series 921: Fibonacci Sequence and Its Derivative Golden Spiral, along with the Healing System of Music
Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... Starting from the third term, each term is equal to the sum of the two preceding terms. As we move further, the ratio of the preceding term to the following term becomes increasingly close to the golden ratio of 0.618. The geometric representation of this sequence is known as the golden spiral, which can be seen in many patterns such as seashells, sunflowers, and galactic nebulae. Furthermore, the progression of the sequence also implies the natural law of "Tao gives birth to one, one gives birth to two, and two give birth to all things." Therefore, some people regard it as "God's fingerprint" or "the source code of the universe".
Due to the numerous fascinating properties and unsolved mysteries of the Fibonacci sequence, a series of healing systems have been developed around it. Here are some examples:
1. Fibonacci Music and Tuning Fork Healing: The music based on the Fibonacci sequence is rich and diverse. For example, Tool's "Lateralus" is generated based on the Fibonacci spiral; some movements in Debussy's "Reflections in the Water" correspond to Fibonacci numbers; 144Hz music is specifically designed to guide listeners into a deep state of peace and calm the mind and body.
The Fibonacci tuning fork produces a series of specific frequencies that follow the Fibonacci sequence, creating a "spiral ascending" sound field. These frequencies can help individuals who have experienced trauma or chronic anxiety break the "cycle of thought", much like a spiral, drawing consciousness from a contracted state towards an open one.
2. Dynamic visual visualization and meditation. There are many guided videos or patterns based on the "Golden Ratio Spiral" online. You can watch or visualize these golden spirals that continuously rotate outward or inward, while matching a specific breathing frequency. This can effectively induce alpha or delta waves, similar to a "visual mandala", which can calm the anxious mind and achieve a certain degree of relaxation, healing, or sleep-aid effects.
While observing the golden spiral, you can guide yourself: "Although my body or mind is experiencing some fluctuations, these are only transitional and temporary states. I am in the midst of a perfect universal law, and every cell in my body is repairing itself according to this sacred order as the spiral unfolds.".
3. Fibonacci breathing: When inhaling, silently count 1 → 2 → 3 → 5 → 8. When exhaling, silently count 1 → 2 → 3 → 5 → 8 → 13 → 21. The exhalation count includes two more numbers than the inhalation count. This helps activate the parasympathetic nervous system, promoting relaxation and aiding sleep.