3rd International Conference on Gravitation, Astrophysics and Cosmology. 26–27 May 2027. Berlin, Germany.
Keynote. The Big Flare-Up Theory and the Six Layers of Reality: A Unified Framework from Fundamental Physics to Consciousness.
Conference site · icgac2027@conplusmeetings.com
The Big Flare-Up Theory treats space as filled by a physical matter substrate. The name given to that substrate is the Spaticle field. It bends, compresses, shears, and carries organised motion. Its equilibrium density is ρs = 7.3 × 10−27 kg m−3, derived from the condensation functional, not fitted to Λ.
The counts on this page are not slogans. Each count has a written list.
Tensions and problems addressed · Falsifiable predictions · 106 applications of the Spaticle field · Ten-sector validation · Spaticle field page
Every result is derived from the published research papers. Click any paper reference to download from Zenodo.
H0 is not a true universal constant of metric expansion but an emergent statistical property of a gravitationally sorted survivor population, H0 = 1/T, where T is the characteristic sorting timescale: for T = 14.6 Gyr, H0 = 1/T = 67 km/s/Mpc, between the Planck CMB value (67.4 km/s/Mpc) and the galaxy-group-dynamics value (63 km/s/Mpc, Wagner et al. 2026). An N-body simulation of 200 galaxies under Newtonian gravity alone, with no expansion term, produces a Pearson correlation of r = 0.675 between recession velocity and distance, with 84% of galaxies receding, a result independently reproduced. Different measurement methodologies naturally return different values because each samples a different redshift range and therefore a different stage of the same ongoing sorting process: sorting is essentially complete by z = 0 but was far from complete at z = 2, 5, and 10, when the relevant comoving number density of structures was correspondingly higher. [P1].
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Lambda is a geometric consequence of spatial infinitude, not QFT vacuum energy. The 10¹²¹ discrepancy between QFT predictions and the observed Lambda dissolves because the two quantities answer different questions. ρ_s is independently constrained from particle and astrophysical sectors, not from Lambda. [P2].
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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. [P2].
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The factor-3.5 discrepancy between the BBN-predicted and observed lithium-7 abundance is resolved 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. [P3].
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Apparent cosmic acceleration arises from observer bulk motion of approximately 550 km/s aligned with the CMB dipole, reproducing the Colin et al. (2019) finding of a 3.9σ directional dipole in the JLA supernova catalogue. A simulation control case with bulk flow set to zero gives a dipole significance below 0.5σ, consistent with the null hypothesis, while restoring the measured bulk flow velocity reproduces the observed 3.9σ signal directly, with no dark energy fluid required. [P4].
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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 are resolved as artefacts of a finite-boundary premise. [Main, P5, P8].
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Black holes are gravitational vortices. The Kerr solution contains a mathematical curvature singularity, which BFUT interprets as a failure of the classical geometric description to represent the finite substrate-occupied core. A finite maximum compression density bound is derived from ρ_s. [P6, P26].
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Removing the central singularity removes the classical mechanism for irreversible information destruction. The substrate encodes information in the finite-core vortex structure. [P6, P26].
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The 2.725 K temperature is the dynamically maintained thermal equilibrium of continuous stellar fusion in an infinite living universe, with zero free parameters. Simulated CMB anisotropy under this mechanism gives a BFUT-sky amplitude of σ = 1.00 × 10⁻⁵, directly matching the observed order of magnitude Delta T/T approximately 10⁻⁵; a hybrid sky gives σ = 8.53 × 10⁻⁶ and a primordial-like sky gives σ = 7.00 × 10⁻⁶. [P7].
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Mature, massive and morphologically developed galaxies observed at high redshift need not have formed within a short post-origin window if the universe is spatially infinite and temporally eternal. BFUT interprets these observations as systems that had already undergone long periods of local structure formation before the light from them reached the observer. [Main, P8].
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An infinite, eternal universe has had unlimited time for all regions to exchange energy and reach thermal equilibrium, with no inflation epoch required. [Main, P5].
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BFUT treats the universe as globally spatially flat and infinite, so no inflationary fine-tuning is required to establish near-zero spatial curvature within the framework. [Main, P5].
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The inverse-square law alone does not resolve Olbers' paradox in an infinite homogeneous static universe, because the increasing number of sources in spherical shells cancels the individual 1/r² flux decrease. BFUT instead invokes finite luminous source occupation, finite luminous lifetimes, absorption and re-radiation, and a continuously evolving substrate. [Main].
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A logically inevitable cold, dark, pre-luminous phase is reconstructed from first principles, in which matter accumulates over immense timescales and reaches local ignition thresholds. The Big Flare-Up is a transition, not a creation event. [P8].
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Rotation is the most durable dynamically selected outcome for matter in an infinite universe. Confirmed galaxy-cluster rotation at radii of order 1 to 1.5 Mpc already implies characteristic periods of approximately 24 billion years in the cleanest directly usable case, well beyond the standard cosmological age of 13.8 billion years, with the Laniakea supercluster independently demonstrating coherent gravitational organisation extending to at least the 100-150 Mpc regime. [P9].
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The same inverse-Compton microphysics as the standard treatment applies unchanged: y = (sigma_T/m_e c²) integral(P_e dl), giving Delta T/T = -2y in the Rayleigh-Jeans limit. The standard SZ transfer law contains pressure, temperature, frequency, and scattering cross-section, but no term for distance to a last-scattering surface, so the observable class cannot by itself prove the CMB is a distant relic. BFUT reinterprets the background field as the present thermal equilibrium state of the Spaticle field instead of fossil radiation, making the SZ distortion a direct local thermal interaction between hot plasma and that ambient field, with no relic photons from 13.8 Gyr ago required. Proof-of-concept simulation results, including a named-system methodological analysis of the A399-A401 inter-cluster bridge, are presented in P10.
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The sharp opacity rise at high redshift is an absorption percolation threshold: when absorber coverage crosses a percolation threshold the transmitted flux collapses sharply, with no unique global reionization boundary required. A smooth absorber gradient with no imposed epoch boundary produces transmitted flux declining from 1.000 at low redshift to 0.042 at high redshift, with both F < 0.20 and F < 0.10 thresholds crossed within the same transition bin centred near z approximately 6.35. Modest absorber density changes (0.78x, 1.00x, 1.25x baseline) shift the apparent onset redshift by approximately 0.9 in z, the signature of a percolation threshold instead of a fixed global epoch boundary. [P11].
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CMB-large-scale-structure correlations arise from Spaticle field temperature variations tracking the matter density field, T_local = T0(1 + α × delta), with α calibrated to the observed amplitude range, instead of from photons traversing decaying gravitational potentials. Proof-of-concept simulations modelling a supercluster (delta = 0.40, R = 100 h⁻¹ Mpc) and a supervoid (delta = -0.35) reproduce peak signals of 9.86 and -8.63 microkelvin respectively, matching the Granett et al. (2008) observed amplitude class (~9.6 and ~-11.3 microkelvin) and far exceeding the standard Lambda-CDM expectation of 1 to 2 microkelvin. A further simulation shows the same structure produces a different signal amplitude depending on its surrounding cosmic web environment, from 4.87 microkelvin in isolation to 16.11 microkelvin embedded in a dense filament, an environment-dependence absent from the standard decaying-potential mechanism and providing a discriminating observational test. The eBOSS supervoid analysis at 0.8 < z < 2.2 directly confirms the BFUT account: excess ISW amplitudes of A_ISW approximately 3.6 persist at this high-redshift range, exactly where the standard dark-energy mechanism predicts the signal should fade and reverse sign, because the Spaticle field temperature correlation with matter density does not depend on dark energy and persists wherever the cosmic web retains structure, which in an infinite living universe it always does. [P12].
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The persistent low-S8 preference in weak-lensing surveys (KiDS-1000 approximately 0.766, DES Year 3 approximately 0.776, against higher Planck-based expectations) is treated as an inference problem instead of a direct data contradiction, since S8 = σ_8 (Omega_m/0.3)⁰·⁵ is a model-dependent summary parameter. Proof-of-concept simulations, with the coupling parameter set to the observed KiDS-1000 deficit of 8.3%, show that rotational support from angular momentum within a persistent, self-organising cosmic web produces an S8 deficit of approximately 6.2%, with suppression present consistently at all mass scales from galaxy groups to superclusters, without requiring new physics beyond the BFUT mechanism already established for galaxy rotation curves. A tomographic redshift-bin simulation gives mean S8 = 0.7893 for low-redshift bins and 0.7964 for high-redshift bins, with the full combination giving S8 = 0.7971, a spread of 0.0078 across tomographic subsets, consistent in pattern with the redshift dependence reported across real tomographic weak-lensing surveys. BFUT predicts that this deficit will continue to appear coherently across every independent probe of the low-redshift universe, weak lensing, cluster abundance, redshift-space distortions, and peculiar velocity surveys, because each is measuring the same physical reality of a living universe whose present-epoch structure is genuinely less clumped than a finite-age, CMB-extrapolated growth history predicts. [P13].
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The Spaticle field is the physical, density-bearing substrate that general relativity, quantum field theory, and logic all require, confirmed by six independent observational sectors spanning forty orders of magnitude. [P14].
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ħ = m_p c r_p / (π R₀), where R₀ is the condensation functional minimum, reproducing the measured value to within a small fraction of a percent. [P16, P27].
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α is derived from substrate rotational mode geometry, sharing R₀ as a mutual consistency constraint with the ħ derivation. [P19].
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Both m_W and m_Z are derived from ρ_s, each independently constraining ρ_s to within a small fraction of a percent. [P19].
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Acoustic peaks and BAO do not uniquely require a Big Bang origin. BFUT models oscillatory and preferred-scale structure through shell-like and ripple-like dynamics in a living universe, using the Jeans scale and present-day baryonic conditions without invoking a singular recombination epoch. [P7A].
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The asymmetry between matter and antimatter is set at the quark-class formation stage by the stability filter, not by a separate CP-violating process. [P16A].
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Dark matter is the Spaticle field. ρ_s satisfies every observational requirement: non-luminous, gravitationally active, electromagnetically ultraweak, reproducing galaxy rotation curves, weak lensing, and the Bullet Cluster offset from one substrate density. [P18, P25].
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A finite maximum compression density bound is derived directly from ρ_s, excluding physical singularities by substrate dynamics. [P26].
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The Schrödinger equation, the Born rule, the spin-statistics theorem, the Pauli exclusion principle, wavefunction collapse, superposition, entanglement, and the Hilbert space tensor product structure are all derived from the covariant carrier field equation F1-cov, g^μν ∇_μ∇_ν(δΨ) - 3ρ_s c² δΨ = (1/c²) g^μν ∇_μ∇_ν Ψ_matter (Section 9, Paper 18), including a worked derivation of angular momentum quantisation L = nħ from the single-valuedness of δΨ (Section 21.3, Paper 19). [P18, P19A].
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Both special-relativistic and gravitational time dilation arise from one mechanism: reduction of the substrate's finite propagation capacity. [P22].
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c is the Spaticle substrate's maximum reorganisation rate, derived instead of postulated. [P23].
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The 10¹²¹ discrepancy between QFT vacuum energy and the observed Lambda arises from two compounding errors in the standard calculation; one field with condensation-only zero-point energy gives rho_vac = ρ_s c², matching the observed value directly. [P27].
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One substrate, governed by the single covariant field equation F1-cov, applies without modification from the scale of the proton to the scale of a supercluster: F1-cov reduces exactly to standard general relativity in settled regimes, to the DDR gravitational domain equation in the static weak-field limit, and to the Schrödinger equation and angular momentum quantisation in the quantum regime, with no graviton required and no separate quantisation procedure. [P18, P19A].
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BFUT derives a fixed emergence order for the four forces, gravity, then the strong force, then electromagnetism, then the weak force, each requiring the structural prerequisites established by the one before it, with no separate postulate for any force beyond the Spaticle field itself. [P17].
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A five-premise analysis shows that each premise underlying the conventional Hawking radiation derivation describes conditions that do not physically apply to a finite, substrate-occupied structure; carrier relaxation replaces it as the physical emission mechanism. [P28].
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BFUT derives the proton charge radius from condensation geometry, r_p = R₀ π ħ/(m_p c), obtaining 0.8398 fm. This is consistent with the smaller radius associated with the proton-radius puzzle and lies within 0.19% of the cited CODATA 2018 central value. [P19, P27].
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BFUT derives the dimensionless proton-electron mass ratio from the 3+1 condensation geometry, m_p/m_e = 6π⁵ = 1836.118, giving m_e = 0.511009 MeV for m_p = 938.272 MeV/c². The measured ratio is approximately 1836.15. The result is geometric and introduces no additional parameter. [P16].
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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
No observation at any depth will reveal a final boundary, terminal wall, or outer edge
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
As observational reach improves, inferred age and extent will continue to move upward
The background temperature will remain approximately 2.725 K instead of showing boundary drop
Mature, fully-formed galaxies will continue to appear at greater observable distances
Filaments, nodes, voids, and web-like organisation will continue at greater depth
Increasingly large coherent basins, alignments, and organised structures will be found
Rotational or spin-related organisation will emerge on larger-than-conventional scales
No final universal axis will emerge as a true global galaxy orientation
N-body simulations using BFUT assumptions will reproduce large-scale structure
Recession will not remain perfectly isotropic after geometry corrections
Correcting for large-scale motion will reduce or collapse acceleration signal
Different H0 measurement methods will continue to disagree
Geometry-corrected methods will produce lower H0 than standard approaches
The inferred Hubble constant remains dependent on local structure and observer position
Both recession-like and counter-moving behaviours will persist at all scales
Evidence requiring dark energy will progressively reduce with corrections
Every particle-detector search will return null results
Λ will remain observationally stable across redshift
Precision data will fail to show time-varying dark-energy equation-of-state
Part of the anisotropy signal will correlate with star formation
Mild non-primordial deviations will remain in CMB data
The effective BAO scale will vary weakly with environment
Precision measurements will reveal mild residual evolution
Onset of strong Lyman-α absorption depends on environment
Opacity scatter will correlate strongly with local structure
Five additional masses at 26.88, 85.61, 108.19, 117.84, 139.62 GeV
Measurements will converge toward 0.8398 fm
Bell tests will confirm substrate-predicted violation angle
ALPHA and AEGIS programs will confirm identical gravity
90% increase in ρs would destabilize matter
No confirmed gravitational wave events from isolated mergers
Number of fermion generations fixed at 3 by condensation symmetry
S8 suppression will appear across all weak-lensing surveys
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 = 7.3 × 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.
Alongside the core papers, more than 25 standalone papers each take a single open problem and resolve it from stated physical premises: the cosmological constant, galaxy rotation curves, the Hubble and S8 tensions, the fine-structure constant, quark charge fractions, the Higgs mass, entanglement, tunnelling, wave function collapse, the Born rule, and the impossibility of singularities. Each is fully self-contained, with its own PDF and permanent DOI.
Nine of the results run live in the browser as interactive simulations. Change the inputs and watch the derivation respond.
CD21 is Code Deposit 21, series 21, release V1. It is the executable verification framework for the Big Flare-Up Theory. The equations of P16 through P28 run as Python, not as static text. The current release emits a 73-row report, applies the DME law to 175 SPARC rotation curves and four KiDS-1000 weak-lensing bins, evaluates DF2, DF4, FCC224, NGC1277, DLA0817g and the Bullet Cluster, and ships 15 pytest functions with 74 asserts.
This run reports ρ_s = 7.30294180 × 10⁻²⁷ kg m⁻³ from the P16 condensation chain and a_s = 1.20840317 × 10⁻¹⁰ m s⁻². SPARC shape agreement 92.00%, flat classification 98.76%, median outer residual 0.095927. KiDS bins 0.155, 0.113, 0.125, 0.135. The electroweak mixing angle is derived in code, not entered as an input: sin²θ_W = 1 − 256²/(9π⁸).
Download the code from the DOI. GitHub will be added when that repository is published.
Download on Zenodo · 10.5281/zenodo.22864191 CD21 page Derivation chain
Sixty short articles take you through the entire framework in reading order: the open problems across cosmology, particle physics, quantum mechanics, and consciousness; the foundational premises; the core machinery; what the theory resolves and derives; and how to verify every claim yourself through the predictions, simulations, code deposits, and the DOI trail. Each article takes a few minutes. For full mathematical detail, the research papers remain the reference.