Quantum mechanics is usually presented through four principles that are postulated rather than explained: physical quantities in bound systems take discrete values (quantisation), matter shows both wave and particle behaviour (duality), a system can occupy several states at once until it is measured (superposition), and separated systems can be correlated more strongly than any local model allows (entanglement). This paper asks whether all four can be read off a single geometric picture of space and tests the resulting framework against the measured particle spectrum. Building on the Info-Magneto-Electrostatic (IME) framework and its five-domain ontology of Space, Time, Energy, Matter, and Consciousness or Information, space is treated as a fully saturated medium, the Celestial Plenum, partitioned into space-filling rhombic dodecahedral channels of one base scale. The framework is fractal and nested above this scale, with a self-similar census of N(n) = 12 · 13ⁿ⁻¹ cells per shell and 13ⁿ cells cumulatively. The lower floor of that fractal is an atom where an electron does not have a revolving particle around it. Below this floor, there is a variation in the nature of physics. This domain follows quantum mechanics. At the base of quantum lies the smallest cell, called here the ‘base unit’. This paper argues that the geometric recursion must terminate at the base unit because a space-filling cell cannot be fractured into fractional cells and that the levels below this base limit are therefore not a smaller lattice but the internal continuum of the cell, the quantum foam. Quantisation is derived as a lattice-closure condition on the cell graph, the inverse-square law as a counting theorem in which the exponent is fixed at exactly two by the three-dimensionality of space, duality as the distinction between a stationary carrier and a moving modulation, superposition as a multi-face state prior to absorption, and entanglement as a correlation carried by the non-local Information layer. The strongest of these derivations, the inverse-square law and the lattice-closure spectrum, are rigorous given the geometry. The weakest, the recovery of the singlet correlation E(a,b) = −cos(a−b) from first principles, is reported as a make-or-break open problem with an explicit attempt and a clear statement of where it falls short. On the empirical side, this paper models mass not as a single arbitrary count, but as a bipartite volumetric displacement on the lattice. By anchoring the framework on the two stable, asymptotic states of matter—the proton (representing the inertial quantum foam core) and the electron (representing the continuous fluidic modulation)—we resolve a symmetric base unit mass of mv≈0.0968 eV/c2. This geometrically derived scale safely satisfies the Planck-plus-baryon-acoustic-oscillation cosmological upper bound of 0.12 eV on the sum of neutrino masses. We then test the framework’s base-thirteen lattice prediction against the resulting spectrum of charged leptons, quarks, and bosons. The spectrum natively clusters near base-thirteen lattice shells, yielding a mean distance to the nearest integer of 0.155 against an expected 0.250 under a uniform-null model, a highly significant z-score of -2.46σ. The geometric core of the framework is thus empirically supported, leaving the recovery of the singlet correlation E(a,b)=-cos(a-b) as the decisive remaining open problem. The geometric ontology, the rhombic dodecahedral cell, the base-thirteen census, the lower-limit principle, and the counting derivation of the inverse-square law stand independently of the failed lattice-mass test. The paper maps the three energies of the framework onto the three gunas of classical Samkhya, ground the conservation of information in the doctrine of Satkaryavada, derive the principal equations, and propose four falsification experiments together with a risk register that sorts every claim by its current evidential standing. Two brief sections that are kept completely distinct from the physics. They are noted as a consistency check that the sphere, the golden ratio, the Fibonacci series, and the constants the geometry sets in space are independently observed in. Anomalous cognition, the most speculative motif in the framework, is not a claim but rather a single falsifiable prediction. The aim is not to discard confirmed measurements but to ask whether the same measurements admit a simpler geometric reading once the vacuum is granted a real structure with a smaller cell. Keywords: quantisation, wave-particle duality, superposition, entanglement, rhombic dodecahedron, Celestial Plenum, fractal cosmology, base unit, neutrino mass, KATRIN, base-thirteen lattice, IME framework, Triguna, Satkaryavada, golden ratio, Fibonacci series, consilience, anomalous cognition, analogue gravity, falsifiability.
Satinder Singh Malik (Wed,) studied this question.