@uor-foundation/geometry/dist/metric.d.ts

Layer 5: Geometric manifolds - the shape of mathematical space

import type { FieldSubstrate } from '@uor-foundation/field-substrate';
import type { ResonanceDynamics } from '@uor-foundation/resonance';
import type { PageTopology } from '@uor-foundation/topology';
import type { ExtendedFieldPattern } from './index';
export declare class ResonanceMetric {
    private fieldSubstrate;
    private resonance;
    private topology;
    constructor(fieldSubstrate: FieldSubstrate, resonance: ResonanceDynamics, topology: PageTopology);
    distance(a: bigint, b: bigint): number;
    euclideanFieldDistance(a: bigint, b: bigint): number;
    resonanceBarrier(a: bigint, b: bigint): number;
    topologicalDistance(a: bigint, b: bigint): number;
    intrinsicDistance(a: bigint, b: bigint): bigint;
    fieldMetric(p1: ExtendedFieldPattern, p2: ExtendedFieldPattern): number;
    resonanceSurface(n: bigint, radius?: bigint): Map<bigint, number>;
    gradient(n: bigint, h?: bigint): number[];
    laplacian(n: bigint, h?: bigint): number;
    christoffelSymbols(n: bigint): number[][][];
    biLipschitzBounds(a: bigint, b: bigint): {
        lower: number;
        upper: number;
    };
    isIsometry(f: (n: bigint) => bigint, a: bigint, b: bigint): boolean;
}
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