Connections Between Domains
Every domain is a node on the ring, grouped into families. Each thread is a
master equation , drawn through every domain it connects — the thread is the
connection, and its colour is the formula that makes it. Where many threads pass through one node,
that field is a hub of reality's computation (its node grows). 48 connected domains, joined
by the 30 master equations.
The widest bridges — one formula, this many fields:
du/dt = D * laplacian(u) — 8 domains
L = k * log10(x / x_ref) — 8 domains
J = -k * grad(phi) — 7 domains
f(t) = sum c_n e^(i n omega t) — 7 domains
y = 1 / (1 + e^(-x)) — 7 domains
dQ/dt = -Q/tau — 6 domains
d2u/dt2 = c^2 * laplacian(u) — 6 domains
sum(in) = sum(out) + d(store)/dt — 6 domains
physical
chemical
life
earth sky
formal
human
J = -k * grad(phi) — connects chemistry, electrical, hydrology, materials_science, medicine, physics, thermodynamics J = -k * grad(phi) — connects chemistry, electrical, hydrology, materials_science, medicine, physics, thermodynamics J = -k * grad(phi) — connects chemistry, electrical, hydrology, materials_science, medicine, physics, thermodynamics J = -k * grad(phi) — connects chemistry, electrical, hydrology, materials_science, medicine, physics, thermodynamics J = -k * grad(phi) — connects chemistry, electrical, hydrology, materials_science, medicine, physics, thermodynamics J = -k * grad(phi) — connects chemistry, electrical, hydrology, materials_science, medicine, physics, thermodynamics F = k * Q1 * Q2 / r^2 — connects acoustics, electrical, nuclear_physics, optics, physics F = k * Q1 * Q2 / r^2 — connects acoustics, electrical, nuclear_physics, optics, physics F = k * Q1 * Q2 / r^2 — connects acoustics, electrical, nuclear_physics, optics, physics F = k * Q1 * Q2 / r^2 — connects acoustics, electrical, nuclear_physics, optics, physics d2x/dt2 = -omega^2 x — connects chemistry, condensed_matter, electrical, physics d2x/dt2 = -omega^2 x — connects chemistry, condensed_matter, electrical, physics d2x/dt2 = -omega^2 x — connects chemistry, condensed_matter, electrical, physics dQ/dt = -Q/tau -> Q = Q0 e^(-t/tau) — connects archaeology, electrical, medicine, nuclear_physics, optics, thermodynamics dQ/dt = -Q/tau -> Q = Q0 e^(-t/tau) — connects archaeology, electrical, medicine, nuclear_physics, optics, thermodynamics dQ/dt = -Q/tau -> Q = Q0 e^(-t/tau) — connects archaeology, electrical, medicine, nuclear_physics, optics, thermodynamics dQ/dt = -Q/tau -> Q = Q0 e^(-t/tau) — connects archaeology, electrical, medicine, nuclear_physics, optics, thermodynamics dQ/dt = -Q/tau -> Q = Q0 e^(-t/tau) — connects archaeology, electrical, medicine, nuclear_physics, optics, thermodynamics d2u/dt2 = c^2 * laplacian(u) — connects acoustics, electrical, geology, music_theory, oceanography, physics d2u/dt2 = c^2 * laplacian(u) — connects acoustics, electrical, geology, music_theory, oceanography, physics d2u/dt2 = c^2 * laplacian(u) — connects acoustics, electrical, geology, music_theory, oceanography, physics d2u/dt2 = c^2 * laplacian(u) — connects acoustics, electrical, geology, music_theory, oceanography, physics d2u/dt2 = c^2 * laplacian(u) — connects acoustics, electrical, geology, music_theory, oceanography, physics du/dt = D * laplacian(u) — connects biology, chemistry, finance, neuroscience, nuclear_physics, physics, statistics, thermodynamics du/dt = D * laplacian(u) — connects biology, chemistry, finance, neuroscience, nuclear_physics, physics, statistics, thermodynamics du/dt = D * laplacian(u) — connects biology, chemistry, finance, neuroscience, nuclear_physics, physics, statistics, thermodynamics du/dt = D * laplacian(u) — connects biology, chemistry, finance, neuroscience, nuclear_physics, physics, statistics, thermodynamics du/dt = D * laplacian(u) — connects biology, chemistry, finance, neuroscience, nuclear_physics, physics, statistics, thermodynamics du/dt = D * laplacian(u) — connects biology, chemistry, finance, neuroscience, nuclear_physics, physics, statistics, thermodynamics du/dt = D * laplacian(u) — connects biology, chemistry, finance, neuroscience, nuclear_physics, physics, statistics, thermodynamics dP/dt = r P (1 - P/K) — connects ecology, economics, medicine dP/dt = r P (1 - P/K) — connects ecology, economics, medicine sum(in) = sum(out) + d(store)/dt — connects chemistry, ecology, electrical, finance, physics, thermodynamics sum(in) = sum(out) + d(store)/dt — connects chemistry, ecology, electrical, finance, physics, thermodynamics sum(in) = sum(out) + d(store)/dt — connects chemistry, ecology, electrical, finance, physics, thermodynamics sum(in) = sum(out) + d(store)/dt — connects chemistry, ecology, electrical, finance, physics, thermodynamics sum(in) = sum(out) + d(store)/dt — connects chemistry, ecology, electrical, finance, physics, thermodynamics S = -k * sum(p_i log p_i) — connects cybersecurity, ecology, information_theory, quantum_computing S = -k * sum(p_i log p_i) — connects cybersecurity, ecology, information_theory, quantum_computing S = -k * sum(p_i log p_i) — connects cybersecurity, ecology, information_theory, quantum_computing delta(integral L) = 0 — connects architecture, economics, mathematics, optics, physics delta(integral L) = 0 — connects architecture, economics, mathematics, optics, physics delta(integral L) = 0 — connects architecture, economics, mathematics, optics, physics delta(integral L) = 0 — connects architecture, economics, mathematics, optics, physics f(t) = sum c_n e^(i n omega t) — connects atomic, chemistry, computer_science, materials_science, mathematics, medicine, music_theory f(t) = sum c_n e^(i n omega t) — connects atomic, chemistry, computer_science, materials_science, mathematics, medicine, music_theory f(t) = sum c_n e^(i n omega t) — connects atomic, chemistry, computer_science, materials_science, mathematics, medicine, music_theory f(t) = sum c_n e^(i n omega t) — connects atomic, chemistry, computer_science, materials_science, mathematics, medicine, music_theory f(t) = sum c_n e^(i n omega t) — connects atomic, chemistry, computer_science, materials_science, mathematics, medicine, music_theory f(t) = sum c_n e^(i n omega t) — connects atomic, chemistry, computer_science, materials_science, mathematics, medicine, music_theory L = k * log10(x / x_ref) — connects acoustics, astronomy, chemistry, computer_science, cybersecurity, geology, neuroscience, physics L = k * log10(x / x_ref) — connects acoustics, astronomy, chemistry, computer_science, cybersecurity, geology, neuroscience, physics L = k * log10(x / x_ref) — connects acoustics, astronomy, chemistry, computer_science, cybersecurity, geology, neuroscience, physics L = k * log10(x / x_ref) — connects acoustics, astronomy, chemistry, computer_science, cybersecurity, geology, neuroscience, physics L = k * log10(x / x_ref) — connects acoustics, astronomy, chemistry, computer_science, cybersecurity, geology, neuroscience, physics L = k * log10(x / x_ref) — connects acoustics, astronomy, chemistry, computer_science, cybersecurity, geology, neuroscience, physics L = k * log10(x / x_ref) — connects acoustics, astronomy, chemistry, computer_science, cybersecurity, geology, neuroscience, physics p(x) ~ e^(-(x-mu)^2 / (2 sigma^2)) — connects biology, finance, manufacturing, physics, statistics, thermodynamics p(x) ~ e^(-(x-mu)^2 / (2 sigma^2)) — connects biology, finance, manufacturing, physics, statistics, thermodynamics p(x) ~ e^(-(x-mu)^2 / (2 sigma^2)) — connects biology, finance, manufacturing, physics, statistics, thermodynamics p(x) ~ e^(-(x-mu)^2 / (2 sigma^2)) — connects biology, finance, manufacturing, physics, statistics, thermodynamics p(x) ~ e^(-(x-mu)^2 / (2 sigma^2)) — connects biology, finance, manufacturing, physics, statistics, thermodynamics laplacian(phi) = -rho / k — connects electrical, physics n ~ e^(-E / kT) — connects chemistry, computer_science, economics, meteorology, thermodynamics n ~ e^(-E / kT) — connects chemistry, computer_science, economics, meteorology, thermodynamics n ~ e^(-E / kT) — connects chemistry, computer_science, economics, meteorology, thermodynamics n ~ e^(-E / kT) — connects chemistry, computer_science, economics, meteorology, thermodynamics dy/dt = k y -> y = y0 e^(kt) — connects biology, ecology, finance dy/dt = k y -> y = y0 e^(kt) — connects biology, ecology, finance V = (RT / zF) * ln(C_out / C_in) — connects electrochemistry, neuroscience dx_i/dt = x_i (f_i - <f>) — connects biology, game_theory pi = pi P (pi P = pi) — connects computer_science, ecology, economics, probability pi = pi P (pi P = pi) — connects computer_science, ecology, economics, probability pi = pi P (pi P = pi) — connects computer_science, ecology, economics, probability S = a / (1 - r), |r| < 1 — connects economics, finance Gamma = (Z2 - Z1) / (Z2 + Z1) — connects acoustics, electrical, optics, physics Gamma = (Z2 - Z1) / (Z2 + Z1) — connects acoustics, electrical, optics, physics Gamma = (Z2 - Z1) / (Z2 + Z1) — connects acoustics, electrical, optics, physics y = 1 / (1 + e^(-x)) — connects biology, chemistry, computer_science, economics, linguistics, neuroscience, thermodynamics y = 1 / (1 + e^(-x)) — connects biology, chemistry, computer_science, economics, linguistics, neuroscience, thermodynamics y = 1 / (1 + e^(-x)) — connects biology, chemistry, computer_science, economics, linguistics, neuroscience, thermodynamics y = 1 / (1 + e^(-x)) — connects biology, chemistry, computer_science, economics, linguistics, neuroscience, thermodynamics y = 1 / (1 + e^(-x)) — connects biology, chemistry, computer_science, economics, linguistics, neuroscience, thermodynamics y = 1 / (1 + e^(-x)) — connects biology, chemistry, computer_science, economics, linguistics, neuroscience, thermodynamics V*(s) = max_a [ R(s,a) + gamma * sum_s' P(s'|s,a) V*(s') ] — connects computer_science, economics, finance, operations_research, probability V*(s) = max_a [ R(s,a) + gamma * sum_s' P(s'|s,a) V*(s') ] — connects computer_science, economics, finance, operations_research, probability V*(s) = max_a [ R(s,a) + gamma * sum_s' P(s'|s,a) V*(s') ] — connects computer_science, economics, finance, operations_research, probability V*(s) = max_a [ R(s,a) + gamma * sum_s' P(s'|s,a) V*(s') ] — connects computer_science, economics, finance, operations_research, probability c = a^k mod n — connects cybersecurity, quantum_computing C(n,k) = n! / (k!(n-k)!) — connects combinatorics, number_theory, probability C(n,k) = n! / (k!(n-k)!) — connects combinatorics, number_theory, probability x mod m — connects calendar_time, document_validation, music_theory x mod m — connects calendar_time, document_validation, music_theory (a AND b), (a OR b), NOT a — the two-valued algebra — connects computer_science, formal_logic, mathematics, philosophy, rhetoric (a AND b), (a OR b), NOT a — the two-valued algebra — connects computer_science, formal_logic, mathematics, philosophy, rhetoric (a AND b), (a OR b), NOT a — the two-valued algebra — connects computer_science, formal_logic, mathematics, philosophy, rhetoric (a AND b), (a OR b), NOT a — the two-valued algebra — connects computer_science, formal_logic, mathematics, philosophy, rhetoric x_{n+1} = f(x_n) — connects computer_science, finance, mathematics, sports_analytics x_{n+1} = f(x_n) — connects computer_science, finance, mathematics, sports_analytics x_{n+1} = f(x_n) — connects computer_science, finance, mathematics, sports_analytics measure ~ length^d (A ~ L^2, V ~ L^3) — connects construction, geography, geometry, linear_algebra measure ~ length^d (A ~ L^2, V ~ L^3) — connects construction, geography, geometry, linear_algebra measure ~ length^d (A ~ L^2, V ~ L^3) — connects construction, geography, geometry, linear_algebra reject H0 if p <= alpha — connects biology, statistics physics — on 11 master equations physics
electrical — on 8 master equations electrical
thermodynamics — on 7 master equations thermodynamics
optics — on 4 master equations optics
acoustics — on 4 master equations acoustics
nuclear_physics — on 3 master equations nuclear_physics
condensed_matter — on 1 master equations condensed_matter
atomic — on 1 master equations atomic
materials_science — on 2 master equations materials_science
quantum_computing — on 2 master equations quantum_computing
chemistry — on 8 master equations chemistry
electrochemistry — on 1 master equations electrochemistry
biology — on 6 master equations biology
neuroscience — on 4 master equations neuroscience
medicine — on 4 master equations medicine
ecology — on 5 master equations ecology
geology — on 2 master equations geology
oceanography — on 1 master equations oceanography
meteorology — on 1 master equations meteorology
hydrology — on 1 master equations hydrology
astronomy — on 1 master equations astronomy
geography — on 1 master equations geography
archaeology — on 1 master equations archaeology
mathematics — on 4 master equations mathematics
statistics — on 3 master equations statistics
probability — on 3 master equations probability
computer_science — on 8 master equations computer_science
information_theory — on 1 master equations information_theory
combinatorics — on 1 master equations combinatorics
number_theory — on 1 master equations number_theory
linear_algebra — on 1 master equations linear_algebra
formal_logic — on 1 master equations formal_logic
operations_research — on 1 master equations operations_research
economics — on 7 master equations economics
finance — on 7 master equations finance
game_theory — on 1 master equations game_theory
sports_analytics — on 1 master equations sports_analytics
linguistics — on 1 master equations linguistics
music_theory — on 3 master equations music_theory
architecture — on 1 master equations architecture
construction — on 1 master equations construction
manufacturing — on 1 master equations manufacturing
rhetoric — on 1 master equations rhetoric
calendar_time — on 1 master equations calendar_time
cybersecurity — on 3 master equations cybersecurity
document_validation — on 1 master equations document_validation
geometry — on 1 master equations geometry
philosophy — on 1 master equations philosophy
DOMAINS
48 connected
Found and mapped, never generated. A thread between two
fields means the same computation runs in both, under a change of variable.