BFUT Programme

Claims, Derivations
& Validations

Every claim the Big Flare-Up Theory makes that differs from or extends the Standard Model. Each entry is derived in the cited paper. Quantitative claims include the numerical agreement to measured values.

Claims from P24 (quantum computing) are restricted pending patent filing and are not disclosed here.

A. Cosmological and Ontological Foundations
1
Vacuum is the Spaticle field
Foundation

ρ_s = 5.9 × 10⁻²⁷ kg/m³; constrained from W/Z masses, 175 galaxy rotation curves (χ²=1.31), KiDS-1000 weak lensing, and GW170817 carrier relaxation; not derived from any cosmological constant.

Papers: P14, P25
5
ρ_s governs forty orders of magnitude
Quantitative Agreement

One fixed number ρ_s reproduces particle masses, coupling constants, atomic stability, galactic rotation curves, gravitational lensing, and CMB structure without sector-specific tuning.

Papers: P14, P25
7
Big Flare-Up, not Big Bang
Reframes

The Big Flare-Up is the first large-scale ignition of nuclear fusion in an already-existing infinite substrate. Not a creation event, not a singularity.

Papers: Main, P14
B. Substrate Properties
10
Substrate stiffness K_s
Quantitative Agreement

K_s = ρ_s c² = 5.30 × 10⁻¹⁰ Pa. Determines c as the propagation speed of all substrate disturbances.

Papers: P17, P18
11
Carrier relaxation time τ_c
Quantitative Agreement

τ_c = 4.6 ms predicted from ρ_s alone. Extracted from GW170817 post-merger signal: ~6.8 ms. Brackets the prediction.

Papers: P18
12
Relaxation length L_rlx
Quantitative Agreement

L_rlx = 1,380 km derived from ρ_s alone. Not a free parameter.

Papers: P18
13
c is a substrate property
Resolves / Dissolves

c = √(K_s/ρ_s). Universal because all disturbances travel through one medium. Not a property of light specifically.

Papers: P17, P23
C. Matter Formation and Condensation Topology
17
3+e organisation is the global minimum
Quantitative Agreement

Preferred in 80–97% of parameter space. Global minimum of the five-term free-energy functional.

Papers: P16
22
Matter-antimatter asymmetry from stability filter
Resolves / Dissolves

80–85% of excitations achieve stable 3+e (matter). 15–20% produce cancellation waves. Asymmetry set at formation, not by CP violation in a later process.

Papers: P16
26
r_p derived from 3+e packing geometry
Quantitative Agreement

r_p = (1 + 2/√3)·r_q = 0.8409 fm. Measured: 0.8414 fm. Agreement: 0.06%.

Papers: P16, P25
27
m_e derived from interstitial geometry
Quantitative Agreement

m_e = E_unit/(6π⁴) = 0.511009 MeV. Measured: 0.511 MeV. Agreement: 0.001%.

Papers: P16, P25
28
All three charged lepton masses from one angle
Quantitative Agreement

m_e, m_μ, m_τ all from θ = (2π+Q)/3 where Q = 2/3 from 3-core mode counting. Agreements: 0.001%, 0.005%, 0.001%.

Papers: P25
29
Koide relation Q=2/3 is structural
Resolves / Dissolves

Q = 2/3 is a topological consequence of 3-fold circulation symmetry. Not an empirical coincidence — a derivation.

Papers: P16, P19A, P25
D. Antimatter and CERN Predictions
31
Antihydrogen falls under gravity identically
Experimentally Confirmed

BFUT independent prediction: substrate deformation is topology-blind. ALPHA 2023 result: confirmed.

Papers: P16A
E. Emergence of the Four Forces
34
Forces emerge sequentially from structural prerequisites
Resolves / Dissolves

Gravity → strong → EM → weak. Each requires the previous as a structural prerequisite. Standard model treats all four as separate axioms.

Papers: P17
42
Newtonian gravity is a derived limit
Resolves / Dissolves

For r << L_rlx: F1-cov → GM/r² exactly. Newton is a consequence of the substrate equation, not an independent postulate.

Papers: P17
F. Gravity, Domains, and Galactic Dynamics
43
Physical origin of gravity
Resolves / Dissolves

Gravity is the restoring pressure gradient of the Spaticle substrate from mass-induced deformation. F1-cov is the master equation.

Papers: P17, P18
44
GR is the settled limit of F1-cov
Resolves / Dissolves

F1-cov → GR exactly in the quasi-static limit. BFUT does not contradict any tested domain of GR.

Papers: P18
45
Every mass has a finite gravitational domain
Quantitative Agreement

R_d = (3GM/Λc²)^(1/3). Sun: 363 ly. Milky Way: 517 kpc. Proton: 32.6 cm. Electron: 2.6 cm.

Papers: P18
48
Galaxy rotation curves without dark matter
Quantitative Agreement

175 SPARC galaxies. χ² = 1.31 versus MOND 1.47. Residuals < 40 km/s for 83.4% of galaxies. No per-galaxy free parameters.

Papers: P18
49
Weak lensing without dark matter halos
Quantitative Agreement

χ² = 0.007–0.067 (BFUT) versus 5.77–6.57 (NFW CDM) across all four KiDS-1000 stellar-mass bins. L_d stable at 100–116 kpc.

Papers: P18
50
GW170817 carrier relaxation residuals
Quantitative Agreement

τ_c predicted 4.6 ms from ρ_s alone. Extracted from GW170817 post-merger signal: ~6.8 ms. Brackets prediction.

Papers: P18
52
Black hole has finite maximum compression density
Resolves / Dissolves

ρ_max ~ ρ_s·(c²/(C·ρ_s²))^(1/2). Finite core replaces singularity. Physical singularities are impossible by substrate dynamics.

Papers: P26
53
Black hole information paradox dissolved
Resolves / Dissolves

No singularity means no mechanism for information destruction. Substrate encodes information in finite-core vortex structure.

Papers: P26
G. Coupling Constants and Mass Spectrum
55
All five SM constants from ρ_s
Resolves / Dissolves

ρ_s → {α_s, α_em, sin²θ_W, m_W, m_Z} simultaneously with zero additional free parameters.

Papers: P19, P25
56
α_em derived
Quantitative Agreement

1/137.1 from substrate rotational mode geometry. Measured: 1/137.036. Agreement: 0.05%.

Papers: P19, P25
57
α_s derived
Quantitative Agreement

0.120 from 3-core topology. Measured: 0.1179 at m_Z scale. Agreement: 1.8%.

Papers: P19, P25
58
sin²θ_W derived
Quantitative Agreement

1/4 at condensation scale → 0.2312 at m_Z via RGE. Measured: 0.2312. Agreement: 0.01%.

Papers: P19, P25
59
m_W derived
Quantitative Agreement

m_W = 80.4 GeV from ρ_s. Measured: 80.4 GeV. Agreement: 0.015%.

Papers: P19, P25
60
m_Z derived
Quantitative Agreement

m_Z = m_W/cos(θ_W) = 91.8 GeV. Measured: 91.2 GeV. Agreement: 0.7%.

Papers: P19, P25
61
m_H derived from m_t and m_Z
Quantitative Agreement

m_H = √(m_t·m_Z) = 125.51 GeV. Measured: 125.25 GeV. Agreement: 0.21%.

Papers: P19, P25
64
ħ from condensation geometry
Quantitative Agreement

ħ = m_p·c·r_p/(π·R₀). Agreement: 0.136% (CODATA r_p = 0.8409 fm); 0.082% (BFUT-derived r_p = 0.8398 fm).

Papers: P19
66
Five new resonances predicted
Prediction

26.88, 85.61, 108.19, 117.84, and 139.62 GeV. Testable at current or future colliders.

Papers: P19A, P19
H. Dark Matter Identification
68
Dark matter is the Spaticle field
Resolves / Dissolves

ρ_s satisfies every DM observational requirement: non-luminous, gravitationally active, electromagnetically ultraweak. Null particle-detector results confirm field nature.

Papers: P25, P18
70
Bullet Cluster reproduced without particle DM
Resolves / Dissolves

Coherence threshold: gas fails (factor 12 below threshold), galaxies pass. 138 kpc separation predicted versus 150 kpc observed. No dark matter particles required.

Papers: P25
I. Higgs Physics
74
Higgs field exists and is confirmed
Experimentally Confirmed

Higgs boson is the collective excitation of the Spaticle substrate in the electroweak mode. Confirmed at 125.25 GeV. The Spaticle field is its physical basis and covers considerably more.

Papers: P18, P19A
J. Quantum Mechanical Foundations
77
Schrödinger equation derived
Resolves / Dissolves

Derived as low-energy non-relativistic limit of F1-cov in the condensation regime. Not a postulate.

Papers: P19A
78
Born rule exponent 2 derived
Resolves / Dissolves

Exponent 2 follows from the quadratic kinetic term (1/2)(∂Φ)² of the Spaticle Lagrangian. Not a postulate.

Papers: P19A
79
Half-integer spin has physical mechanism
Resolves / Dissolves

Half-integer spin is the signature of condensations embedded in a continuous substrate. 720° topology explains what standard QM postulates.

Papers: P19A
82
Wavefunction collapse has physical mechanism
Resolves / Dissolves

Irreversible physical coupling of distributed substrate configuration to detector matter. No observer needed. 100-year measurement problem resolved.

Papers: P19A
86
Bell statistics cos²θ derived
Quantitative Agreement

E(a,b) = −cos(θ_ab) from 3-core circulation phase geometry. Tsirelson bound 2√2 recovered from first principles.

Papers: P19A
87
Fundamental decoherence floor from ρ_s
Quantitative Agreement

Γ_sub ~ 10⁻⁹ Hz. Approximately 15 orders of magnitude below current engineering noise. Irreducible substrate-coupling floor.

Papers: P19A
88
Quantum gravity incompatibility dissolved
Resolves / Dissolves

One substrate, one field equation F1-cov, all scales. From proton (domain 32.6 cm) to supercluster (hundreds of Mpc) — same equation.

Papers: P19A
K. Time, Causality, and Special Relativity
90
Time is accumulated substrate state evolution
Resolves / Dissolves

Not a pre-existing dimension. Time is what clocks measure: accumulated substrate state evolution at a location.

Papers: P22
91
SR and GR time dilation unified by one mechanism
Resolves / Dissolves

Both arise from reduction in propagation capacity available for internal substrate processes. Two formalisms, one physical origin.

Papers: P22
95
c is a substrate property
Resolves / Dissolves

c = √(K_s/ρ_s). Light travels at c because photons have no condensation to maintain. The substrate defines the limit.

Papers: P23
L. Photon Propagation and Light
100
Photon soliton persistence lengths derived
Quantitative Agreement

L_persist = L_rlx × (E/E_min)². Optical photons: 11 AU. 100 MeV gamma rays: 88.5 Gpc.

Papers: P23
101
Minimum coherent photon energy derived
Quantitative Agreement

E_min = ((ħc)³ρ_s c²)^(1/4) = 2.25 meV (λ = 88 μm). Below this energy, soliton propagation is impossible.

Papers: P23
M. Hierarchy and Cross-Sector Universality
104
One equation covers all gravitational regimes
Resolves / Dissolves

F1-cov → Newton (r << L_rlx), GR (quasi-static), finite domains, galactic rotation, lensing, and merger residuals. Four frameworks, one equation.

Papers: P25, P19
N. Gravitational Sorting and the Hubble Relationship
107
Hubble relationship from gravitational sorting
Quantitative Agreement

Pearson r = 0.675, 84% of survivors receding in N-body simulation of 200 galaxies. No expansion term used.

Papers: P1
O. Observer Bulk Flow and Apparent Acceleration
112
Cosmic acceleration from observer bulk flow
Resolves / Dissolves

Bulk motion of ~550 km/s aligned with CMB dipole reproduces the Pantheon+ low-redshift acceleration signal. Setting bulk flow to zero collapses the signal.

Papers: P4
Z. Nucleosynthesis and the Lithium Problem
158
Cosmological Lithium Problem
Resolves / Dissolves

BBN prediction (5.6 × 10⁻¹⁰) answers production in the first three minutes; Spite plateau (1.6 × 10⁻¹⁰) answers present steady-state equilibrium. Different questions, different correct answers. Factor-3.5 discrepancy dissolves.

Papers: P3
AA. Quantum Consciousness and the Consciousness Index
166
Consciousness Index formula
Quantitative Agreement

CI = CI₀ × S. CI₀ = C × I × D multiplicative. Human average CI₀ = 100 (calibration constant). CI_floor = 1.0 — no physical system has zero consciousness.

Papers: P21
168
Cross-species consciousness rankings
Quantitative Agreement

Several animals exceed human average CI₀ of 100: dolphins, crows, chimpanzees, parrots. Ranking is universal, quantitative, and parameter-driven.

Papers: P21
CC. The Planck Constant: Derivation and Consequences
180
ħ derived from condensation geometry
Quantitative Agreement

ħ = m_p·c·r_p/(π·R₀). Agreement: 0.136% (CODATA); 0.082% (BFUT-derived r_p). Quantum of action is the action per radian of the smallest stable substrate condensation circulation.

Papers: P16, P27
182
Compton wavelength hierarchy from mass hierarchy
Quantitative Agreement

λ_C = m_p·r_p/(π·R₀·m) for all particles. Table of 7 particles from proton through Higgs: all 0.14% agreement. Hierarchy follows entirely from mass hierarchy.

Papers: P27
184
Uncertainty principle from condensation localisation
Quantitative Agreement

Δx·Δp ≥ m_p·c·r_p/(2π·R₀) = 5.280 × 10⁻³⁵ J·s. The uncertainty bound is the A/R² localisation term of the P16 functional expressed as a differential operator.

Papers: P27
187
Planck units from condensation-gravity intersection
Quantitative Agreement

ℓ_P = 1.6174 × 10⁻³⁵ m (0.068%). m_P = 2.1779 × 10⁻⁸ kg (0.068%). t_P = 5.3949 × 10⁻⁴⁴ s (0.068%). All three inherit the same agreement because Planck units scale as ħ^(1/2).

Papers: P27
191
QFT vacuum energy discrepancy diagnosed
Resolves / Dissolves

The 10¹²¹ discrepancy arises from two compounding errors: assigning separate zero-point energies to 17+ independent fields, and adding ħω/2 to empty modes with no condensations. One field at equilibrium gives ρ_vac = ρ_s·c² = 5.30 × 10⁻¹⁰ J/m³ with no cancellation.

Papers: P27