Parameter-Free Derivation of Physical Constants and Characteristic Scales Using Recognition Science

A computing system for deriving a physical constant or a characteristic scale, the computing system comprising:

• one or more processors;
• and
• one or more non-transitory memories storing instructions that, when executed by the one or more processors, cause the computing system to:
• receive a target specification identifying a target physical constant or characteristic scale;
• classify the target specification as at least one of a dimensionless target, a length target, an energy target, or a mass target;
• define a recognition system representation that includes at least a recognition geometry parameter;
• select a construct family from a plurality of construct families comprising (i) a cost-functional construct family, (ii) an operator or spectrum construct family, and (iii) a scale-cascade construct family;
• instantiate a construct in the selected construct family using at least one RS/RP quantity and without using a target-specific empirical value of the target physical constant or characteristic scale;
• solve the instantiated construct to produce a computed solution using at least one numerical computation control selected from a convergence tolerance, an integration window parameter, a discretization resolution, an iteration limit, or an index search range;
• extract, from the computed solution, a derived value corresponding to the target physical constant or characteristic scale;
• and
• generate and store a derivation trace artifact comprising a machine-readable record that records at least:
• (a) a target identifier and target class, (b) the selected construct family, (c) a construct definition payload including operative equations and any boundary or domain constraints invoked, (d) RS/RP quantities used, (e) solver settings including the at least one numerical computation control, (f) at least one intermediate value used for extraction, and (g) the derived value.

A non-transitory computer-readable medium storing instructions that, when executed by one or more processors, cause the one or more processors to perform operations comprising:

• receiving a target specification identifying a target physical constant or characteristic scale;
• classifying the target specification as at least one of a dimensionless target, a length target, an energy target, or a mass target;
• defining a recognition system representation that includes at least a recognition geometry parameter;
• selecting, based on the classifying and the recognition system representation, a construct family from a plurality of construct families comprising (i) a cost-functional construct family, (ii) an operator or spectrum construct family, and (iii) a scale-cascade construct family;
• instantiating a construct in the selected construct family using at least one RS/RP quantity and without using a target-specific empirical value of the target physical constant or characteristic scale;
• solving the instantiated construct to produce a computed solution using at least one numerical computation control selected from a convergence tolerance, an integration window parameter, a discretization resolution, an iteration limit, or an index search range;
• extracting, from the computed solution, a derived value corresponding to the target physical constant or characteristic scale;
• and
• generating a derivation trace artifact comprising a machine-readable record that records at least:
• (a) a target identifier and target class, (b) the selected construct family, (c) a construct definition payload including operative equations and any boundary or domain constraints invoked, (d) RS/RP quantities used, (e) solver settings including the at least one numerical computation control, (f) at least one intermediate value used for extraction, and (g) the derived value.