A physical quantity assigned to every point in spacetime, mediating forces and interactions.

gravitational field: generated by mass, described by gravity and general relativity

electromagnetic field: generated by charges and currents — see electromagnetism

quantum fields: fundamental entities in quantum mechanics; particles are excitations of fields

scalar fields (Higgs, temperature), vector fields (electric, magnetic), tensor fields (metric of spacetime)

field equations (Maxwell's, Einstein's) govern how fields evolve and interact

energy and momentum are carried by fields themselves

the field concept replaces action-at-a-distance with local, propagating interactions

Dimensions

kuro/specs/field
field specification the F₂ tower field. arithmetic substrate for binary proving, quantized inference, and every binary-domain computation in cyber. kuro is to F₂ what nebu is to Goldilocks. version: 0.1 status: canonical the tower seven successive quadratic extensions from F₂ to F₂¹²⁸: each alpha_k…
nebu/specs/field
field specification the Goldilocks prime field. arithmetic substrate for hemera, trident, nox, and every computational domain in cyber. the prime the Goldilocks prime. the name comes from its structure: a 64-bit prime with a 32-bit "hole" that enables fast reduction. reduction identity define the…
trident/src/field
field
hemera/specs/field
field specification the Goldilocks prime field specification lives in nebu: the standalone field arithmetic library. **canonical source:** `~/git/nebu/reference/field.md` summary all Hemera arithmetic operates over the Goldilocks prime field: the field provides native u64 arithmetic, two-adicity of…
nebu/reference/field

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