Siddhis (Sanskrit and Pali : सिद्धि; Tamil: சித்தி; Tibetan: དངོས་གྲུབ, THL: ngödrup,[web 1]) are spiritual, paranormal, supernatural, or otherwise magical powers, abilities, and attainments that are the products of spiritual advancement through sādhanās such as meditation and yoga. The term ṛddhi (Pali: iddhi, "psychic powers") is often used interchangeably in Buddhism.
Siddhi is a Sanskrit and Tamil noun which can be translated as "perfection", "accomplishment", "attainment", or "success". In Tamil the word Siddhar/Chitthar refers to someone who has attained the Siddhic powers & knowledge. Chitta is pure consciousness/knowledge in Sanskrit also.
According to scholars, the Visuddhimagga is one of the extremely rare texts within the enormous literatures of various forms of Jainism, Buddhism, and Hinduism to give explicit details about how spiritual masters were thought to actually manifest supernormal abilities. Abilities such as flying through the air, walking through solid obstructions, diving into the ground, walking on water and so forth are performed by changing one element, such as earth, into another element, such as air. The individual must master kasina meditation before this is possible. Dipa Ma, who trained via the Visuddhimagga, was said to demonstrate these abilities.
In the Panchatantra, a siddhi may be the term for any unusual skill or faculty or capability.
In Shaivism sect of hinduism , siddhi is defined as " Extraordinary powers of the soul, developed through consistent meditation and often uncomfortable and grueling tapas, or awakened naturally through spiritual maturity and yogic sādhanā " 
In the Bhagavata Purana, the five siddhis of yoga and meditation are:
In the Bhagavata Purana, Krishna describes the ten secondary siddhis:
In the Samkhyakarika and Tattvasamasa, there are references to the attainment of eight siddhis by which one becomes free of the pain of ignorance, one gains knowledge, and experiences bliss. The eight siddhis hinted at by Kapila in the Tattvasamasa are as explained in verse 51 of the Samkhyakarika:
The attainment of these eight siddhis renders one no longer in a painful state of ignorance but in possession of greater knowledge and experience of bliss. The aim of Samkhya is to eliminate all kinds of physical and mental pains and to receive liberation.
In Patañjali's Yoga Sutras IV.1 it is stated, Janma auṣadhi mantra tapaḥ samādhijāḥ siddhayaḥ, "Accomplishments may be attained through birth, the use of herbs, incantations, self-discipline or samadhi".
In Sikhism, siddhi means "insight". "Eight Siddhis" is used for insight of the eight qualities of Nirankar or a.k.a. Akal Purakh mentioned in the Mul Mantar in the Guru Granth Sahib. God has eight qualities: Oankar, Satnam, Kartapurakh, Nirbhao, Nirvair, AkaalMurat, Ajooni and Svaibhang. The one who has insight of these qualities is called Sidh or Gurmukhi.
In Tantric Buddhism, siddhi specifically refers to the acquisition of supernatural powers by psychic or magical means or the supposed faculty so acquired. These powers include items such as clairvoyance, levitation, bilocation, becoming as small as an atom, materialization, having access to memories from past lives. The term is also used in this sense in the Sarva-darśana-saṃgraha of Madhvacharya (1238–1317).
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