Fundamental Physics Under the Metatheoretic Standard: A Systematic Evaluation of Current Research Programmes Against the Conditions for Minimally Physically Derivable Theories

The Minimally Physically Derivable Theories (MPDT) metatheory establishes four independently motivated conditions that any fundamental physical theory must satisfy: computationally representable space, a single fundamental indivisible constituent of matter, momentum as a primitive conserved property, and exactly two opposing forces. These conditions are grounded in methodological requirements on what any predictive physical theory must do — not in any specific physical ontology. Because the MPDT framework is a metatheory rather than a physical theory, it is not subject to the objection that inter-theoretic evaluation is question-begging when the compared theories have mutually exclusive axiom sets: the metatheory evaluates from the metalanguage level, as Gödel's incompleteness theorems evaluate formal systems without presupposing any particular system's axioms. A theory cannot be evaluated from within another theory whose axiom sets are mutually exclusive; but it can be evaluated from within a metatheory whose conditions are prior to and independent of any particular physical ontology. This paper applies the MPDT metatheory systematically to the seven major current programmes in fundamental physics: the Standard Model, quantum field theory as a framework, canonical loop quantum gravity, covariant loop quantum gravity and spin foam models, string theory, asymptotic safety, and causal set theory. For each programme, the paper identifies: which of the four conditions it fails and why; which specific ad hoc assumptions the failure generates; whether those assumptions correspond to the programme's recognised failure modes; and whether the failure is contingent or structural — that is, whether it follows necessarily from the programme's foundational commitments rather than from remediable technical deficiencies. The Standard Model fails conditions C1 (17 fundamental particles posited as primitives rather than derived from a single constituent), C2 (continuous spacetime requiring renormalisation), and C4 (three independent gauge forces rather than two). Its recognised failure modes — 26 free parameters, the hierarchy problem, the cosmological constant problem, the absence of gravity — are shown to be direct consequences of these structural failures rather than independent deficiencies. Quantum field theory as a framework fails C2 (continuous field configuration space generating ultraviolet divergences) and C3 (momentum as a probabilistic observable rather than a definite intrinsic property). Renormalisation, normal ordering, and the vacuum state ambiguity are identified as ad hoc assumptions generated by the unphysical degrees of freedom of the continuum. Canonical loop quantum gravity achieves a form of spatial discreteness but fails C2 because its discreteness is derived by quantising a continuous theory rather than posited as a primitive axiom — a logically distinct operation. It also fails C3 (probabilistic momentum) and C4 (gravity as geometry rather than a force). The Barbero–Immirzi parameter is identified as a paradigmatic ad hoc assumption in the technical sense: not derivable from the theory's axiom set, introduced to reproduce the Bekenstein–Hawking entropy formula rather than from independent physical motivation. Covariant loop quantum gravity and spin foam models fail C2 through the temporal import embedded in the concept of a spin foam history: the notion of a two-complex interpolating between an initial and a final spin network state carries a temporal ordering that background independence over spatial slicings does not remove. The EPRL vertex amplitude is identified as an ad hoc assumption. C4 fails for the same reason as canonical LQG. String theory fails C1 (one-dimensional extended objects with vibrational modes rather than a single indivisible point constituent), C2 (continuous worldsheet and target space manifolds), and C4 (gravity as an emergent spin-2 mode rather than a primitive force). The landscape — the approximately 10⁵⁰⁰ consistent vacuum configurations — is shown to be not an embarrassing accident but the structural and inevitable consequence of beginning from a continuous target space with a free compactification choice: with more than the minimum, infinitely many consistent implementations are available. Asymptotic safety fails C2 (continuous Riemannian manifold and continuous field configuration space) and C4 (gravity as geometry). The truncation scheme and the undemonstrated existence of the UV fixed point are identified as ad hoc assumptions. The programme is shown to address the symptom of ultraviolet divergences without removing their cause: the continuous field configuration space. Causal set theory receives the most generous assessment of any programme evaluated. Its commitment to discrete causal structure as a foundational primitive — not derived from a continuous theory by quantisation — is identified as the correct foundational move, closer to satisfying C2 than any other programme. The specific failure modes are identified with precision: C2 is partially failed through the temporal import in sequential growth dynamics and the identification of the partial order with Lorentzian causal structure at the recovery stage; C3 fails because the dynamics is specified by a probability measure rather than derived from intrinsic momentum; C4 fails because no force structure is posited. The gap between causal set theory and a fully minimally physically derivable theory is shown to be smaller than the gap between any other programme and that standard. Quantum-Geometry Dynamics is presented as the existence proof that all four conditions are simultaneously satisfiable: discrete space constituted by preons⁻, kinetic matter constituted by preons⁺ with constant intrinsic momentum, and two opposing forces (p-gravity and n-gravity) with scale-dependent relative dominance. The existence proof demonstrates that the metatheoretic standard is non-vacuous without advancing the correctness of QGD as an empirical claim. A summary table maps all eight frameworks — including QGD — to their condition status (satisfied, failed, or partially satisfied), primary ad hoc assumptions, recognised failure modes, and structural verdict. The paper concludes that the persistent failure of current programmes to achieve genuine unification is not a contingent technical failure but the structurally inevitable consequence of a methodology that is logically incapable of yielding a fundamental theory: the methodology of constructing foundational theories by extending, unifying, or quantising existing frameworks, each of which inherits the foundational commitments — including the continuum and physical time — that no fundamental theory can admit.