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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.
3,665 results for "P vs NP" — page 80 of 184
ZA_2_13 — Quantum Gravity Approaches
Quantum gravity is the unfinished quest to unify general relativity (GR) — which describes gravity as spacetime curvature at macroscopic scales — with quantum mechanics (QM), which governs microscopic physics. The challe
ZA_2_07 — Magnetic Monopoles: The Missing Magnets
Magnetic monopoles — hypothetical particles carrying isolated north or south magnetic charge — remain one of the most sought-after objects in physics. Maxwell's equations exhibit a tantalizing asymmetry: while electric c
ZA_2_15 — Quantum Gravity Phenomenology: Searching for Planck-Scale Physics
Quantum gravity phenomenology is the enterprise of identifying and testing observable consequences — however faint — of the quantum nature of spacetime, bridging the gap between the ultra-high energies of the Planck scal
ZA_2_17 — Emergent Spacetime & ER=EPR Conjecture
The ER=EPR conjecture — proposed by Juan Maldacena and Leonard Susskind in 2013 — posits that Einstein-Rosen bridges (wormholes, "ER") and Einstein-Podolsky-Rosen entanglement ("EPR") are fundamentally the same phenomeno
ZA_2_04 — Loop Quantum Gravity: Spacetime as a Fabric of Quanta
Loop quantum gravity (LQG) is a leading approach to quantum gravity that quantizes spacetime itself — predicting that area and volume come in discrete Planck-scale quanta. Unlike string theory, LQG does not require extra
ZA_2_11 — Spacetime Foam and Quantum Gravity Effects
At the Planck scale — lengths of ~$1.6 \times 10^{-35}$ m and times of ~$5.4 \times 10^{-44}$ s — quantum mechanics and general relativity collide, and the smooth spacetime continuum of Einstein's theory is expected to b
ZA_2_14 — Penrose Twistor Theory: Spinor Geometry and Spacetime
Twistor theory — conceived by Roger Penrose beginning in 1967 — is a radical reformulation of the geometry underlying physics in which the fundamental objects are not points in spacetime but rather twistors: elements of
ZA_2_10 — Tachyons and Superluminal Physics
Tachyons — hypothetical particles that always travel faster than light — have fascinated physicists since Gerald Feinberg's 1967 formalization, yet no tachyon has ever been observed. In special relativity, a massive part
ZA_2_19 — Holographic Principle & AdS/CFT Correspondence: Gravity as Information
The holographic principle — the proposition that all information contained within a volume of space can be encoded on the boundary surface enclosing that volume — ranks among the most profound conceptual shifts in theore
ZA_2_01 — Time: Physics and Philosophy
Time is arguably the deepest unsolved problem in physics and philosophy. Physics reveals: (1) time is relative, not absolute — Einstein showed it flows at different rates depending on velocity and gravity; (2) the fundam
ZA_2_09 — Wormholes and Exotic Spacetime Geometries
Wormholes — hypothetical tunnels through spacetime connecting distant regions of the universe or even different universes — are exact solutions of Einstein's field equations. First identified by Einstein and Rosen (1935)
ZA_2_06 — Spacetime Geometry: Minkowski, Causal Structure, and Light Cones
Spacetime — the four-dimensional continuum unifying space and time — is the arena in which all physics takes place. Einstein's special relativity (1905) revealed that space and time are not separate absolutes but are int
ZA_2_03 — General and Special Relativity — Einstein's Revolution
Albert Einstein's two theories of relativity — special (1905) and general (1915) — fundamentally reshaped the understanding of space, time, mass, energy, and gravity. Special relativity, built on Lorentz invariance and t
ZA_2_12 — The Black Hole Information Paradox
The black hole information paradox — first articulated by Stephen Hawking in 1976 — is arguably the most profound puzzle connecting quantum mechanics, general relativity, and information theory. When a black hole forms a
ZA_1_18 — Dark Energy and the Cosmological Constant Problem
Dark energy — the mysterious component constituting ~68% of the total energy density of the observable universe — drives the accelerating expansion of space and represents one of the deepest unsolved problems in physics.
ZA_1_01 — Quantum Entanglement and Non-Locality Deep Dive
Quantum entanglement — the phenomenon whereby two or more particles become correlated such that the quantum state of each cannot be described independently — is one of the most experimentally confirmed and conceptually d
ZA_1_17 — Alternative Quantum Interpretations: Bohm, Many-Worlds, and Beyond Copenhagen
The interpretation of quantum mechanics — the question of what the mathematical formalism of quantum theory tells us about the nature of reality — remains one of the most profound and contested problems in the philosophy
ZA_1_12 — Quantum Optics: Light at the Photon Level
Quantum optics — the study of light and its interaction with matter at the level of individual photons — explores phenomena that cannot be explained by classical electromagnetic theory and lies at the heart of quantum in
ZA_1_16 — Sonoluminescence: Light from Sound and the Mystery of Collapsing Bubbles
Sonoluminescence is the emission of short bursts of light from gas bubbles in a liquid when excited by ultrasonic sound waves. First observed by H. Frenzel and H. Schultes at the University of Cologne in 1934 (multi-bubb
ZA_1_13 — Dirac Equation: Uniting Quantum Mechanics and Special Relativity
The Dirac equation — formulated by Paul Adrien Maurice Dirac in 1928 — is the relativistic wave equation for spin-½ particles (electrons, quarks, and other fermions) that achieved the seemingly impossible: a consistent u
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