RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.
221 results for "square root two" — page 8 of 12
L_4_02 — Mendel, Inheritance, and the Rediscovery of Genetics
Gregor Johann Mendel (1822–1884), an Augustinian friar at the St. Thomas Abbey in Brno (then part of the Austrian Empire), conducted the foundational experiments in genetics by systematically crossing garden pea plants (
Y_4_01 — Lucid Dreaming Research
Lucid dreaming — being consciously aware that you are dreaming WHILE dreaming, and potentially controlling dream content — was scientifically verified in 1975-1981 through a breakthrough protocol: pre-arranged EYE SIGNAL
Y_4_07 — Hypnosis — History, Neuroscience, and Therapeutic Application
Hypnosis has evolved from Franz Mesmer's "animal magnetism" theory (1770s) through James Braid's neurological reframing (1843) and James Esdaile's surgical applications in India to Milton Erickson's indirect hypnotherapy
Y_4_05 — Dreams, Dream Incubation, and Oneiric Knowledge
Dreams have been treated as a source of knowledge, prophecy, and divine communication in virtually every civilization. Ancient Mesopotamians maintained professional dream interpreters (šāʾilu) and compiled dream omen com
Y_5_18 — Sensory Deprivation & Float Tanks
Sensory deprivation — the systematic reduction or elimination of external sensory input — has been studied scientifically since the 1950s, with two primary paradigms: chamber REST (Restricted Environmental Stimulation Te
Y_5_17 — Astral Projection Laboratory Research
Astral projection — the subjective experience of consciousness separating from the physical body and traveling independently — has been reported across virtually all human cultures throughout history, from ancient Egypti
Y_2_06 — Dissociation, Depersonalization, and Derealization
Dissociation — the disruption of normally integrated functions of consciousness, memory, identity, emotion, perception, behavior, and sense of self — represents one of the most revealing natural experiments for understan
Y_2_17 — Barrier Gating and Altered States of Consciousness
Altered states of consciousness — produced by psychedelics, anesthetics, hypnagogic and hypnopompic transitions, near-death events, deep meditation, breathwork, and sensory deprivation — share a common functional signatu
Y_3_02 — Meditation, Neuroplasticity, and Contemplative Neuroscience
Meditation — the systematic training of attention and awareness — has been practiced for at least 3,000-5,000 years (earliest evidence: Indus Valley seal of a seated figure in meditation posture, ~2600 BCE; earliest text
Y_3_05 — Contemplative Neuroscience
Contemplative neuroscience — the scientific study of meditation, contemplative practices, and their effects on brain, body, and behavior — has matured from a fringe topic into a rigorous interdisciplinary field over the
Y_3_20 — Enlightenment Neuroscience: Satori, Samadhi & Mystical States
Enlightenment — known as satori or kensho in Zen Buddhism, samadhi in Hindu yogic traditions, fana in Sufism, theosis in Eastern Orthodox Christianity, and unio mystica in the Western mystical tradition — refers to state
Y_3_09 — Prayer, Contemplation, and the Neuroscience of Religious Experience
The neuroscientific study of prayer and religious experience — sometimes termed neurotheology (d'Aquili & Newberg, 1999) — has moved from philosophical speculation to empirical investigation using neuroimaging, EEG, and
Y_3_06 — Awe, Wonder, and Transcendent Emotions
Awe — the emotional response to perceived vastness that requires accommodation (cognitive restructuring of existing mental schemas) — has emerged as a frontier topic in affective neuroscience, positive psychology, and ph
Y_3_07 — Music, Consciousness, and Altered States
Music is one of the most powerful modulators of conscious experience available without pharmacological intervention. Neuroimaging reveals that music engages an extraordinarily distributed network: auditory cortex (superi
Y_3_18 — Sensory Deprivation and Float Tank Research
Sensory deprivation — the deliberate reduction of external sensory stimulation — and its modern therapeutic form, flotation-REST (Restricted Environmental Stimulation Technique), have been studied since the 1950s as a me
Y_1_04 — Psychedelic Renaissance — Clinical Research and Consciousness
The psychedelic renaissance — a resurgence of rigorous scientific research on psychedelic substances after decades of prohibition — has produced some of the most significant findings in 21st-century psychiatry and consci
Y_1_06 — Psychedelic Research — Modern Science and Ancient Entheogen Parallels
Psychedelic research has undergone a dramatic revival since ~2006, with major studies at Johns Hopkins, Imperial College London, NYU, and MAPS demonstrating the therapeutic potential of psilocybin, MDMA, and ayahuasca/DM
Y_1_07 — Ego Dissolution and Psychedelic Neuroscience
Ego dissolution — the temporary loss of the subjective sense of self, personal boundaries, and the distinction between self and world — is among the most profound and therapeutically significant effects of serotonergic p
H_2_09 — The Galileo Affair — Science, Religion, and Power
The Galileo affair — the Roman Inquisition's condemnation of Galileo Galilei (1564–1642) for defending the Copernican heliocentric model — is the archetypal case of religious authority suppressing scientific knowledge, i
P_4_16 — Buddhist Logic & Nagarjuna's Tetralemma
Buddhist logic represents one of the world's most sophisticated philosophical traditions, developing independently from and in some ways surpassing Aristotelian logic in its treatment of negation, paradox, and the limits
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