Thirty-four of the hardest unsolved problems in physics — resolved, dissolved, or reframed. Every result is derived from the published research papers. Click any paper reference to download from Zenodo.
H₀ is not a universal expansion constant but an emergent statistical property of gravitationally sorted matter in an infinite universe. Different measurement methods sample different scales of the same sorted population, so disagreement is expected rather than anomalous.
Published in: P1
Λ is a geometric consequence of spatial infinitude, not QFT vacuum energy. The staggering 10¹²¹ discrepancy between QFT predictions and observed Λ dissolves because the two quantities are answering different questions. ρ_s is independently constrained from particle and astrophysical sectors, not from Λ.
Published in: P2
The apparent coincidence that matter and vacuum energy densities are comparable today is not a coincidence. Matter is the condensed form of the substrate, so the two densities are structurally related — not two independent quantities that happen to match.
Published in: P2
The factor-3.5 discrepancy between BBN-predicted and observed lithium-7 dissolves through a conceptual reframing: BBN answers what was produced in the first three minutes; the Spite plateau answers what the current steady-state equilibrium is in old stars. These are different questions with different correct answers.
Published in: P3
Apparent cosmic acceleration arises from observer bulk motion of ~550 km/s aligned with the CMB dipole. The 3.9σ directional signal in the Colin et al. (2019) supernova dataset disappears when bulk flow is set to zero in simulation. No dark energy fluid required.
Published in: P4
Logical, derivational, and observational proofs establish spatial infinitude. A boundary of the universe requires a physically meaningful distinction across it, which absolute non-being cannot provide. The horizon and flatness problems dissolve as artefacts of a finite-boundary premise.
Published in: Main, P5, P8
Black holes are gravitational vortices. The formal singularity at r=0 in the Kerr solution signals the boundary of the classical description's domain, not a physically established infinite-density object. A finite maximum compression density bound is derived from ρ_s in P26.
Published in: P6, P26
Removing the central singularity removes the classical mechanism for irreversible information destruction. The substrate encodes information in the finite-core vortex structure. No singularity means no paradox.
Published in: P6, P26
The 2.725 K temperature is the dynamically maintained thermal equilibrium of continuous stellar fusion in an infinite living universe. The same microphysics that operated at recombination operates throughout the present universe. Zero free parameters.
Published in: P7
Acoustic peaks and BAO do not uniquely require a Big Bang origin. Shell-like and ripple-like structure generation in a living universe naturally produces oscillatory power spectra and BAO-like preferred scales without invoking a singular recombination epoch.
Published in: P7A
An infinite, eternal universe has had unlimited time for all regions to exchange energy and reach thermal equilibrium. No inflation epoch required. The horizon problem is an artefact of a finite-age, finite-boundary assumption.
Published in: Main, P5
An infinite universe is flat by construction — requiring no inflationary fine-tuning to rescue its geometry. The flatness problem dissolves as an artefact of a finite, curved-boundary premise.
Published in: Main, P5
In an infinite universe, naturally resolved by the inverse-square law and the vast dominance of non-luminous, light-blocking matter. Not a paradox; a false problem built on incorrect assumptions about what an infinite universe must look like.
Published in: Main
A logically inevitable cold, dark, pre-luminous phase is reconstructed from first principles. Matter accumulates over immense timescales, forms filamentary structure, and reaches local ignition thresholds. The Big Flare-Up is not a creation event but a transition.
Published in: P8
Rotation is the most durable dynamically selected outcome for matter in an infinite universe. Confirmed galaxy-cluster rotation already implies characteristic periods exceeding 13.8 Gyr — the standard age limit — for the cleanest cases. This is a systematic tension, not a local anomaly.
Published in: P9
The Sunyaev-Zel'dovich effect is a direct local thermal interaction between hot plasma and the ambient Spaticle field already present throughout space. No relic photons from 13.8 Gyr ago required. The same observable class arises locally in a living equilibrium field.
Published in: P10
The sharp opacity rise at high redshift is an Absorption Percolation Threshold: when absorber coverage crosses a percolation threshold the transmitted flux collapses sharply. No unique global reionization boundary required. The threshold onset is environment-sensitive.
Published in: P11
CMB-large-scale-structure correlations arise from Spaticle field temperature variations tracking the matter density field. Denser regions have marginally warmer substrate; voids are cooler. No decaying gravitational potentials and no dark energy needed. The stacked signal amplitude (4–10× Lambda-CDM prediction) is naturally reproduced.
Published in: P12
The persistent low-S₈ preference in weak-lensing surveys is a natural signature of an ongoing dynamically active cosmic web. BFUT χ² = 0.007–0.067 versus NFW CDM 5.77–6.57 across KiDS-1000 stellar-mass bins. No new physics required.
Published in: P13
The Spaticle field is the physical, density-bearing substrate that GR, QFT, and logic all require. It is confirmed by six independent observational sectors spanning forty orders of magnitude. The substrate density ρ_s = 5.9 × 10⁻²⁷ kg/m³ is over-constrained to ±0.015%.
Published in: P14
ħ = m_p·c·r_p/(π·R₀) where R₀ = 1.27348 is the P16 free-energy functional minimum. Agreement 0.0001% using CODATA r_p = 0.8414 fm; 0.0001% using BFUT-derived r_p = 0.8414 fm. The quantum of action is the action per radian of the smallest stable substrate condensation circulation. Standard physics has no derivation of ħ.
Published in: P16, P27
α = 1/137.1 derived from substrate rotational mode geometry. Agreement 0.05%. Combined with the ħ derivation, both α and ħ share R₀ as a mutual consistency constraint — two independent derivation chains are locked together through the same condensation geometry.
Published in: P19
m_W = 80.4 GeV (agreement 0.015%) and m_Z = 91.8 GeV (agreement 0.7%) both derived from ρ_s. The CDF anomalous W mass measurement is addressed. Both masses constrain ρ_s to ±0.015% independently.
Published in: P19
m_H = √(m_t·m_Z) = 125.51 GeV; measured 125.25 GeV; agreement 0.21%. The Higgs mass is a structural consequence of the 3+e condensation topology applied to the electroweak sector. Not a free parameter.
Published in: P16A, P19
80–85% of substrate excitations achieve stable 3+e (matter); 15–20% produce cancellation waves (antimatter). The asymmetry is set at the quark-class formation stage by the stability filter — not by CP violation in a later process. The origin is accessible in principle but not through CERN antihydrogen spectroscopy.
Published in: P16A
Dark matter is the Spaticle field. ρ_s satisfies every observational requirement: non-luminous, gravitationally active, electromagnetically ultraweak. 175 SPARC galaxy rotation curves reproduced with χ² = 1.31. KiDS-1000 weak lensing reproduced with χ² = 0.007–0.067 versus NFW 5.77–6.57. Bullet Cluster coherence threshold reproduced. Null particle-detector results are confirmed predictions — a field cannot register in a particle detector.
Published in: P18, P25
A finite maximum compression density bound is derived: ρ_max ~ ρ_s·(c²/(C·ρ_s²))^(1/2). Physical singularities are impossible by substrate dynamics. The T₄ restoring pressure, C|Ψ|⁶ higher-order repulsion, and J_entrain outward redistribution flux together prevent infinite compression at any mass.
Published in: P26
The Schrödinger equation, Born rule, spin-statistics theorem, Pauli exclusion, wavefunction collapse, superposition, entanglement, Bell statistics, and Hilbert space tensor product are all derived from the F1-cov substrate field equation. Twenty quantum phenomena explained by one physical mechanism. The 100-year measurement problem is resolved: collapse is irreversible physical coupling of substrate configuration to detector matter.
Published in: P19A
Both SR and gravitational time dilation arise from one mechanism: reduction of the substrate's finite propagation capacity. Kinematic dilation allocates propagation budget to spatial motion. Gravitational dilation allocates it to maintaining deformation. The Lorentz factor η = √(1−v²/c²) is the fraction of propagation budget available for internal processes.
Published in: P22
c = √(K_s/ρ_s) = √(ρ_s c²/ρ_s) is the Spaticle substrate's maximum reorganisation rate — derived, not postulated. Light travels at c because photons are disturbances with no condensation to maintain, leaving all propagation budget for travel. Massive particles travel below c because internal condensation maintenance consumes part of the budget.
Published in: P23
The 10¹²¹ discrepancy between QFT vacuum energy and observed Λ arises from two compounding errors: (1) summing 17+ independent field modes instead of one Spaticle field, and (2) assigning zero-point energy ħω/2 to empty modes that contain no condensations. Zero-point energy is the minimum circulation energy of organised condensations only. One field with condensation-only zero-point energy gives ρ_vac = ρ_s·c² = 5.30×10⁻¹⁰ J/m³. No fine-tuning. No cancellation.
Published in: P27
One substrate, one field equation F1-cov, all scales. The same DD-1 domain formula applies from the proton (domain radius 32.6 cm) to the supercluster (hundreds of Mpc). Gravity and quantum mechanics are not incompatible; they are both limits of one substrate equation. No graviton required.
Published in: P19A
Every prediction below is testable by observation. If any are falsified, BFUT requires revision. This is what distinguishes a scientific theory from a narrative.
Every observer anywhere will appear near the centre of their observable universe. This follows from the finite speed of light in an infinite substrate.
No observation at any depth will reveal a final boundary, terminal wall, or outer edge. Deeper surveys will continue to show similar structure.
No observation will reveal a unique central point from which the entire universe originated.
No global wraparound repetitions or compact closed-space signature will be found at any observable scale.
As observational reach improves, inferred age and extent will continue to move upward rather than converge downward.
The background temperature will remain ~2.725 K rather than showing a boundary-related drop as observations push deeper.
Mature, fully-formed galaxies will continue to appear at greater observable distances beyond current JWST results.
Filaments, nodes, voids, and web-like organisation will continue to appear as deeper structure is mapped.
Increasingly large coherent basins, alignments, and organised structures will keep being found.
Rotational or spin-related organisation will emerge on scales larger than conventionally expected.
Even if local alignments exist, no final universal axis will emerge as a true global orientation.
N-body simulations using known physics and BFUT assumptions will reproduce key large-scale features without dark matter or dark energy.
After geometry and observer-location corrections, recession will not remain perfectly isotropic in all directions.
Correcting supernova data for large-scale directional motion will reduce or collapse the dark energy interpretation.
Different H₀ measurement methods will continue to disagree rather than converging to one value.
Geometry-corrected methods will keep producing lower H₀ estimates than standard local-ladder values.
The inferred Hubble constant will remain dependent on local structure, flows, and observer environment.
Both recession-like and counter-moving behaviours will persist at all scales.
Flow corrections and BFUT reinterpretations will progressively reduce the evidence requiring a distinct dark-energy fluid.
Every particle-detector search will return null results, confirming the field nature of the Spaticle substrate.
Λ will remain observationally stable across redshift, behaving like a constant physical property rather than an evolving dark-energy fluid.
Precision data will fail to show a robust time-varying dark-energy equation-of-state requiring a real dynamical fluid.
After cleaning, part of the anisotropy signal will correlate with active and historical star-forming regions beyond standard secondary effects.
Mild non-primordial deviations from perfect statistical isotropy will remain in CMB data.
The effective BAO scale will vary weakly with environment rather than acting as a fixed primordial ruler.
Future precision measurements will reveal mild residual evolution in the effective BAO scale.
Larger surveys will show that the apparent onset of strong Lyman-alpha absorption depends on environment and sightline, not one universal transition redshift.
Opacity scatter and proximity-zone behaviour will correlate more strongly with local environment than standard patchy-reionization expectations.
Five additional substrate resonances at 26.88, 85.61, 108.19, 117.84, and 139.62 GeV will be found at future colliders or reanalysis of existing data.
Future neutron star merger gravitational wave events will show the same τ_c ~ 1–15 ms carrier relaxation residual signature, distinguishable from GR ringdown by its different decay rate.
More precise measurements will converge toward r_p = 0.8414 fm (BFUT-derived) rather than the CODATA 0.8414 fm value.
Precision Bell test experiments will confirm the violation angle of exactly 22.5° predicted from substrate F1-cov linearity, with no deviation at any precision level.
ALPHA and AEGIS programmes will confirm identical gravitational behaviour of antihydrogen and hydrogen to all measurable precision. (ALPHA 2023 initial confirmation achieved.)
Any laboratory modification of local substrate conditions producing a ~90% increase in effective ρ_s will collapse molecular bonds, providing an independent laboratory constraint.
Not assumed — derived. Any proposed boundary requires space on the other side to contain it. A physical boundary of the universe is a logical impossibility.
An infinite universe with no spatial boundary has no natural origin point. A universe that has always existed requires no explanation of its origin.
Einstein's GR proves space has physical properties — it warps and transmits waves. You cannot warp nothing. Space must be made of something. BFUT identifies that substrate as the Spaticle field at density ρ_s = 5.9 × 10⁻²⁷ kg/m³.
The first ignition in an infinite substrate triggered a cascade across infinite space. This was the Big Flare-Up: not a creation event, but the universe-wide onset of nuclear fusion in an already-existing infinite substrate.