Fractals are geometrical objects in which the parts reflect the whole.
They’re produced by recursion.
In string theory (guṇavāda) 1, the seventy principles (saptatitattva) similarly reflect the ten strings (daśaguṇa).
Each of the seven strings (saptaguṇa) being the recursive origin (punarāvartin mūla) of a tenfold principle (daśatattva). 2
Therefore, the universe (jagat) is like a multidimensional fractal.
Many of the seventy principles are neither named nor discussed.
This is because they are repetitions of the strings (guṇas).
Hence, the pattern of recursion is emphasized instead.
The pattern being 0 → 3 → 7 → repeat.
This is summarized by the Hermetic axiom, “As above, so below.” 3
The strings being the “above” and the principles being the “below.”
So, one who knows the strings, knows the principles.
The three strings (triguṇa) 4 don’t have principles (tattvas).
So, the rows in the chart above represent the seven strings (saptaguṇa) 5.
The fourth being existence (sat), and the tenth being physics (tamas).
Each tenfold principle (daśatattva) contains a threefold principle (tritattva) 6.
Each of which consists of a spiritual sheath (pauruṣa kośa) and a material body (prākṛta śarīra) united (saṃyukta) by an oversoul union (aiśvara yoga). 7
This yields twenty-one unmanifest principles (avyakta tattvas).
Advaita Sāṃkhya considers the five classical sheaths (pañcakośa) 8 to be sevenfold.
These seven sheaths (saptakośa) are spiritual (pauruṣa), as opposed to the material bodies (prākṛta śarīras).
Advaita Sāṃkhya similarly considers the three classical bodies (śarīra traya) 16 to be sevenfold.
These seven bodies (śarīra saptaka) are material (prākṛta), as opposed to the spiritual sheaths (pauruṣa kośa).
Antaḥśarīra 10 is the inner body.
It’s the inner organ (antaḥkaraṇa), which is the bridge to the causal body (kāraṇaśarīra).
Cittaśarīra 11 is the conscious body.
In Dvaita Sāṃkhya, the term “citta” is the composite of intellect, ego, and mind (buddhi, ahaṃkāra, and manas). 17
But in Advaita Sāṃkhya, it’s the storehouse of conscious impressions (cetana saṃskāras).
Ahaṃśarīra12 is the ego body.
It’s synonymous with “ahaṃkāra,” not to be confused with egoism (asmitāa).
Nāmaśarīra 13 is the name body.
It’s the storehouse of subconscious impressions (jaḍa sāskāras).
Finally, Advaita Sāṃkhya also considers the three classical yogas (yoga traya) 18 to be sevenfold.
Each of these seven yogas (yoga saptaka) is the union (saṃyoga) of a spiritual sheath (pauruṣa kośa) with its correpsonding material body (prākṛta śarīra).
They aren’t discrete practices (sādhanas), though.
Rather, they are principles (tattvas) to be fulfilled through practice (sādhya through sādhana). 19
Hence, they can be approached uniquely by different individuals, religions, or cultures.
The chart above is the continuation of the previous chart.
In addition to a threefold principle (tritattva), each tenfold principle (daśatattva) also contains a sevenfold principle (saptatattva). 6
This yields forty-nine manifest principles (vyakta tattva).
Of these heptads, only the senses 21, subtle elements 22, and gross elements 23 (indriyas, tanmātras, and mahābhūtas) are named.
The senses belong to the eighth string, mind (sattva). 20
Each sense is a unified pair consisting of a knowledge sense (jñānendriya) and an action sense (karmendriya).
Advaita Sāṃkhya considers them sevenfold, with the first two being unnamed.
The subtle elements belong to the ninth string, emotion (rajas). 21
They are the subtle objects of the senses.
Advaita Sāṃkhya considers them sevenfold, with the first two being unnamed.
unnamed
unnamed
Śabda is sound.
Rūpa is appearance, which includes shape and color.
The gross elements belong to the tenth string, physics (tamas). 22
They are the gross objects of the senses.
Advaita Sāṃkhya considers them sevenfold, with the first two being unnamed.
An interesting feature of fractals is their self-similarity, or expanding symmetry.
In Advaita Sāṃkhya, the basis of symmetry (pramā of samamiti) is numerical frequency of vibration (sāṃkhya āvṛtti of spanda). 23
These frequencies are represented by the numbers one through ten.
Thus, different things may be inwardly related to each other without having the same outward appearance. This allows for the diversity of the universe (jagat) while maintaining its underlying unity.
Symmetry (samamiti) produces resonance (anunāda), which allows information exchange (saṃvedana). 24
This means that numerically similar principles (tattvas) resonate with each other despite being in different states (avasthās).
This is how the senses (indriyas) 20 interact with the subtle elements (tanmātras) 21 and gross elements (mahābhūtas) 22.
Resonance can be thought of in terms of waves.
For instance, hearing/speech (śrotra/vāc), sound (śabda), and ether (ākāśa) are all on similar wavelengths.