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As described in Theravada Buddhist texts of the Abhidhamma Pitaka in the Tipitaka, there is no indivisible part of the atom. Every atom is divisible. If anyone divides it infinitely, the ultimate outcome is energy = there is nothing that exists in reality, it's a mirage that we experience because of the four major qualities. And the atom is made out of four major qualities and due to those 4 major qualities, there are another four qualities are generated. The four major qualities can exist in different or equal proportions within the atom. When the proportions changes, the elements change to another element. The four major qualities are:
Then because of those four, another sub qualities being generated:
And the proportions of the four major qualities in atoms are constantly changing, the change can take fraction of second in some materials, sometimes it might take uncountable years to change. And according to Buddhist texts the atom itself appears and disappears very fast and we humans can only see its existence if you don't have developed your mind to understand and see those happenings (just like our human eye see the tv screen or a video as a one motion, it actually contains many frames to make a full video, but we only see it as a one frame with people moving inside it), but Buddha have said this is a mirage we see and it is "non-eternal".
Source: I have read Abhidhamma Pitaka. And I'm a Buddhist.
P.S: if you want to know the what's really happening, my advise is, you have to read it by yourself and understand, rather than reading some English translated text.
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Search abhidhamma pitaka english translation... There are seven books for the abhidhamma pitaka section... abhidhamma means deep knowledge!
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You might be thinking of Kalapas.
In Theravada Buddhist phenomenology, Kalapas are defined as the smallest units of physical matter.[1] Kalapas are described as tiny units of materiality, “tens of thousands of times smaller than a particle of dust,” coming into existence and disappearing in as little as a billionth of a second or a trillionth of the blink of an eye.[2][3] Kalapas are understood by some Therevada thinkers as actual subatomic particles and the smallest units of materiality.[4][5]
Kalapas are not mentioned in the earliest Buddhists texts, such as the Tripitaka, but only in the Abhidhammattha Saïgaha, an Abhidhamma commentary that was composed between the 5th and 11th centuries.[6] They are not universally accepted in Theravada Buddhism, and the Buddha never directly speaks of kalapas.[7]
See also the answers to this question: Meaning of 'kalapas'
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In Theravada buddhism, atoms are not the same as those found in western physics. Instead, they are
As described in Buddhist texts, it is a ‘non-eternal’ unit of the four elements (water, fire, earth, and air) that are impermanent and constantly changing... Like other seemingly external objects, these atoms are perceived by the senses, but do not truly exist beyond cognitive awareness
There really isn't much similarities between the two atoms because one can be divided and the other cannot. So what are the Buddhist atoms? They are earth, water, fire, air, color, smell, taste and nutritive essence (food).
These eight components of matter, forming an octad (atthaka), are called “indivisible matter” or simply “inseparable”
they make up the four elements, also known as the "Four Greats", spoken from the Surangama Sutra explains how we are able to see the world today. There are also two additional elements (Emptiness and consciousness) which lets the illusory forms take shape.
In the Mahayana Tradition there is a Sutra known as the Lalitavistara Sutra. It's to complicated for me to read, but I guess it does go into depth on buddhas explanation of matter. < http://iteror.org/big/Source/buddhism/Lalitavistara-ch12.html