Frameworks

The Resonant Theory (TRT) models the physical vacuum as a continuous, compressible Tisza-Landau two-fluid substrate (the Quantum Plenum) governed by two strictly dimensionless electro-hydrodynamic invariants derived from the fine-structure constant: the Universal Acoustic Susceptibility A_RT = alpha^-1 / e = 50.412727 and the equilibrium normal-fluid mass fraction beta_TRT = e / A_RT = 0.05392055. Conditioned on six explicitly declared constitutive postulates (P1-P6) and discrete structural indices (Table 1), and anchored to the local present-epoch wave speed c_0 = 2.99792458e8 m/s and carrier frequency f_0 = 76.4496 MHz (L_0 = 3.92144 m, tau_0 = (2*pi*f_0)^-1 = 2.0818 ns), the framework establishes: (1) a universal topological soliton rest-energy functional H_sol(p, q, D) = E_e * [(p*q)*pi^D + Delta M_visc(p, beta_TRT)] on T^5 with closed-form topological viscous drag Delta M_visc(p, beta_TRT) = (p*(p-1)/pi)*beta_TRT, under which the electron is the (1,1,0) ground state (Delta M_visc = 0, H_sol = E_e = m_e*c_0^2) and the proton is the knotted (2,3,5) Trefoil state whose covering degree d = 6 sweeps D = 5 half-wave phase modes (pi^5 = 306.0197) plus poloidal dipole boundary drag (2/pi)*beta_TRT = 0.034327, yielding mu_TRT = H_sol(2,3,5)/H_sol(1,1,0) = 6*pi^5 + (2/pi)*beta_TRT = 1836.152436 (0.13 ppm from CODATA m_p/m_e) under a single uniform functional with zero measure mismatch; (2) a compressible spinodal acoustic cavitation nucleation mass floor mu_0 = A_RT*h*f_0/c_0^2 = 2.8414e-41 kg nucleating at the transonic boundary (|u| = c_0, rho = rho_0*e^-1/2) with zero logarithmic vacuum singularity; (3) a curl-compatible zero-mean solenoidal regularized 3D vorticity PDE admitting an a priori global L2 enstrophy bound for smooth solutions with zero spatial mean on R^3 and T^3 (Theorem 1); (4) forward line-of-sight ray propagation s in [0, d_L] in a 1D quarter-wave causal horizon resonator (k_1*R_H = pi/2) deriving a strictly positive achromatic +8.47% apparent local Hubble shift (H_late = 73.11 km/s/Mpc from H_early = 67.40 km/s/Mpc); (5) a linearized Poisson hydrostatic pressure-depletion law reproducing Newtonian gravity and an emergent galactic acoustic acceleration threshold a_gal = pi*a_0 = pi*c_0*H_early*beta_TRT = 1.11e-10 m/s^2 matching Milgrom's scale to within 7.6% and reproducing the baryonic Tully-Fisher flat rotation plateau without dark matter; and (6) a pre-registered 2028-2030 Europa Clipper outer-cruise Doppler falsification test (a_plenum = 8.47 +/- 0.34 x 10^-10 m/s^2) evaluated against a 100% mathematically exhaustive four-regime decision protocol.

This framework hypothesises the universe is an atemporal, conscious five-dimensional geometry structured as a mesh of vorton triads, with stratified readings of time and emergent four-dimensional particle physics and gravity.

UAIC posits a single axiom of Unity — a network of pre-geometric units tending toward a unique maximally-entangled ground state — and defines a Universal Cosmic Loss Function (UCLF) whose variational Euler–Lagrange conditions simultaneously produce emergent spacetime, Standard Model gauge fields, and a thermodynamic condition for observer/awareness. The framework is implemented via a 13-stage ternary MERA cascade (trinification and chirality emergent), is accompanied by 23 companion papers and an open-problems register, and presents structured, falsifiable predictions.

by Hemant GuptaPublished 9/2/20269 supporting papers

Design-basis document for the Retinomorphic Hamiltonian Self-Field (RHSF) framework that grounds a hardware substrate in Mead-style analog VLSI, combining subthreshold MOS transconductors, non-pixel retinomorphic receptor lattices, clock-free accumulation, and duty-cycled Gm-C Hamiltonian relaxation to implement low-power, latched attractor computation. Intended to support schematic design, SPICE validation, and device-level implementation planning (not a claim of completed silicon).

𝒲ℰσ̄ presents a physically constrained meta-framework for structural persistence that defines three canonical quantities—adaptive potential (ℰ), basin stability (σ̄), and counterfactual weight (𝒲)—and a diagnostic Γ = (ℰ·σ̄/𝒲)^(1/3) to quantify persistence per maintenance cost. The framework pairs formal definitions and theorems with a domain gate for admissibility, operational proxies (C, ℰ̂, σ̂), practical validators (including synthetic validation across 1000+ ecosystems, Spearman ρ = 0.89), and applications ranging from ecology and economics to a cosmological measure for observers.

by Kevin TilsnerPublished 4/10/20260 supporting papers

Mode Identity Theory (MIT) was a topological thought formed on philosophical grounds before any prediction was computed. Waves were fundamental before any matter was consulted, and nothing was twisted besides Plato after the fact.

by Blake L ShattoPublished 4/2/202612 supporting papers

Quantum Harmonia (QH) is an empirical five-parameter phenomenological framework that identifies a universal scale‑coupling δ = 0.502 ± 0.031 spanning laboratory quantum coherence to cosmological structure (61 orders of magnitude), with a hierarchical analysis strongly favoring a single δ across domains. Applied to cosmology it provides scale‑dependent corrections that can alleviate the H0 and S8 tensions without new particles or altered early‑time physics, and it makes concrete, near‑term falsifiable predictions for LIGO/Virgo/KAGRA ringdown scaling, Euclid BAO shifts, and DESI dark‑energy measurements.

by Adam MurphyPublished 3/24/20261 supporting paper

We examine the theoretical consistency of a minimal Standard Model extension featuring a real scalar field Φ, singlet under all gauge interactions, coupled to the Higgs doublet through a density-modulated Higgs-portal interaction. The scalar sector employs the most general renormalizable potential consistent with gauge invariance and discrete ℤ₂ symmetry, with the portal coupling rescaled by a dimensionless function S(Σ) of coarse-grained macroscopic energy density. For any fixed density, the theory reduces to conventional singlet-Higgs extension with effective portal coupling λ̃ΦH = S(Σ)λΦH, maintaining local, polynomial, and renormalizable structure.