Relational Unification of Bosonic and Fermionic Fields: Exchange Statistics and Emergent Pauli Exclusion on Minkowski-Like Spaces

Dendrogramic Holographic Theory (DHT) is a purely relational theory of information in which the primitive elements are events, and physical description is defined by an observer’s dendrogram: a hierarchical tree of binary questions that distinguishes events only through operationally accessible relations. The core postulate is an epistemic form of Leibniz’s Principle of the Identity of Indiscernibles: if two states of affairs cannot be distinguished by any admissible measurement for a given observer, they are identified for that observer. From each dendrogram we construct a ``views distribution'' \(\rho\) over relational distances and define a one-particle wavefunction by \(|\psi|^{2}=\rho\); many distinct relational configurations can therefore map to the same distribution and the same \(\psi\), so a ``particle'' is naturally an equivalence class of dendrograms sharing the same wavefunction. We then study two-particle sectors by embedding a pair of finite dendrograms \((T_A,T_B)\) into a host context consisting of one or two larger dendrograms \((H_C,H_D)\), allowing both equal-host and distinct-host comparisons and accommodating a range of size relations. When neither host can be embedded into the other, the host pair is space-like separated in a Minkowski-like parameter space, so exchange signatures arise purely from the relative organization of the embedded structures rather than from causal nesting. Our simulations show that bosonic versus fermionic exchange behaviour is not an intrinsic label of \(T_A\) or \(T_B\), but an emergent invariant of the composite relational wiring diagram linking two (often non-relationally closed) information sets through cross-host correlations, reproducing exclusion-like and pile-up behaviour without postulating the Pauli principle. In this sense, DHT offers a unifying perspective on bosonic and fermionic fields: both arise from the same underlying relational degrees of freedom, and ``boson--fermion conversion'' corresponds to operations that break or restore relational closure (by changing host choice and embedding pattern) while leaving the one-particle state \(\psi\) fixed---an analogue of supersymmetric unification that does not require a new particle spectrum. This suggests a unification of ``matter'' and ``forces'' at the level of relational organization without introducing new particles and while remaining compatible with a Minkowski-like spacetime encoding.