The Principia Machina/UWC/SPZ/TFK/TrM
Appearance
{
"ENTRIES": [
{
"BEARS": [],
"DIMENSION": "T1",
"DOF": "t",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "time",
"FALSIFIER": "a second clock whose readings differ from t by more than a constant offset beyond the stated uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "t is the reading of a laboratory clock from an arbitrary origin",
"NAME": "E_t"
},
{
"BEARS": [
"EOM_X",
"KIN"
],
"DIMENSION": "L1",
"DOF": "x",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "position",
"FALSIFIER": "a measured spring force not proportional to x inside the domain",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "x is the displacement of the mass along the spring axis from the point where the spring exerts no force",
"NAME": "E_x"
},
{
"BEARS": [
"KIN"
],
"DIMENSION": "L1 T-1",
"DOF": "v",
"DOMAIN": "|x| < x_max",
"ENVIRONMENT_QUANTITY": "velocity",
"FALSIFIER": "a measured velocity that differs from the rate of change of the measured x beyond uncertainty",
"FALSIFIER_CLASS": "F2",
"IDENTIFICATION": "v is the rate of change of x with t",
"NAME": "E_v"
},
{
"BEARS": [
"EOM_Z",
"C_NOZ"
],
"DIMENSION": "L1",
"DOF": "z",
"DOMAIN": "always",
"ENVIRONMENT_QUANTITY": "transverse_position",
"FALSIFIER": "a measured z different from 0 beyond its uncertainty",
"FALSIFIER_CLASS": "F3",
"IDENTIFICATION": "z is the displacement of the mass perpendicular to the spring axis",
"NAME": "E_z"
}
],
"HEADER": {
"ENVIRONMENT_INVENTORY": [
{
"DIMENSION": "T1",
"ENVIRONMENT_QUANTITY": "time"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "position"
},
{
"DIMENSION": "L1 T-1",
"ENVIRONMENT_QUANTITY": "velocity"
},
{
"DIMENSION": "L1",
"ENVIRONMENT_QUANTITY": "transverse_position"
}
],
"SIGNATURE": [
{
"FORM": "D(x, t) = v",
"IMAGE": "d/dt maps position to velocity",
"IMAGE_FORM": "D(position, time) = velocity",
"NAME": "time_derivative",
"OVER": [
"x",
"v",
"t"
]
}
],
"TRANSFORMATIONS": [
{
"NAME": "time_translation",
"STATEMENT": "t -> t + t0"
}
]
}
}