50 tensions and problems addressed by BFUT

From the Layer 1 synthesis paper. Thirty-six major problems, tensions, and interpretive crises of ΛCDM. Each item is resolved, dissolved as a category error, or reframed. Paper 24 is not on this list.

#1 · Resolved

Cosmological constant problem

P2

u_vac=ρₛc², with empty substrate modes contributing no physical condensation energy.

#2 · Resolved

QFT vacuum-energy discrepancy

P2

One physical substrate replaces the multiple independent vacuum-field contributions used in the conventional sum, while unexcited modes carry no condensation energy.

#3 · Resolved

Seeliger paradox / divergent summed gravity

P18

g_total=Σ_i g_i exp(−r/R_domain,i), giving finite contributions from finite deformation domains.

#4 · Resolved

Infinite gravitational range

P18

R_d=[3M/(8πρₛ)]^(1/3) gives every source a finite deformation domain.

#5 · Resolved

Galaxy missing gravity

P18 P25 P78

The dark matter effects equation (DME) introduces the substrate-derived acceleration scale aₛ=c√(Gρₛ/3).

#6 · Resolved

Deep-galaxy mass-velocity relation

P18 P25 P78

v⁴≈GMaₛ follows from the low-acceleration DME limit.

#7 · Resolved

Weak-lensing excess

P25 P78

The same DME and substrate scale are applied to the KiDS-1000 stacked lensing data.

#8 · Resolved

Dark-matter particle requirement

P18 P25 P78

The additional gravitational response is represented by substrate deformation and entrainment, with no dark-matter particle parameter.

#9 · Resolved

Proton-electron hierarchy

P19

m_e_vss=mₚ/(6π⁵) provides a geometric mass relation.

#10 · Resolved

Planck-constant origin

P16 P19

ħ_vss=mₚcrₚ/(πR₀) connects the BFUT-derived ħ_vss to the condensation geometry.

#11 · Resolved

Fine-structure constant

P19

α_vss is linked to the BFUT condensation and ħ_vss derivation chain.

#12 · Resolved

Strong-coupling geometric scale

P19

αₛ_vss is related to condensation geometry through αₛ_vss∝BR₀⁴/A.

#13 · Resolved

Universal speed-limit origin

P23

c_vss=√(Kₛ/ρₛ), with Kₛ=ρₛc_vss², identifies c_vss with the substrate reorganisation limit.

#14 · Resolved

GW/photon speed equality

P22 P23

Both are substrate disturbances and share the same maximum propagation rate c.

#15 · Resolved

Relativistic time-dilation structure

P22

c²=v_internal²+v_grav²+v_spatial² and η=dτ/dt= c_s/c₀ provide a common propagation-budget description.

#16 · Resolved

Singularity divergence

P16 P26

The causal limit gives finite R_max=GM/c² and ρ̄_max=3c⁶/(4πG³M²), while the condensation functional excludes zero-radius condensation.

#17 · Resolved

Quantum/classical regime connection

P18

The carrier-field formulation supplies a common substrate description whose settled limits reproduce the classical gravitational regime.

#18 · Resolved

S8 tension

P13

Rotational-collapse suppression gives a 6.2% S8 deficit in the P13 proof-of-concept simulation.

#19 · Resolved

Hubble tension

P1 P14

BFUT replaces a single universal expansion interpretation with gravitational sorting and observer-dependent sampling; P1 reports r=0.675 for the sorting model.

#20 · Resolved

Early-structure timing problem

P8 P14

An eternal substrate removes the finite-age formation constraint used in a finite-origin cosmology.

#21 · Resolved

Horizon problem

P5 P14

An infinite, eternal substrate removes the requirement that all observed regions were once in causal contact after a finite beginning.

#22 · Resolved

Flatness problem

P5 P14

Spatial infinitude removes the finite-origin curvature-dilution requirement associated with inflation.

#23 · Resolved

CMB temperature origin

P7

T=(u_CMB c/(4σ))^(1/4) gives 2.725 K from the measured CMB energy density.

#24 · Resolved

Cosmological acceleration / dark-energy interpretation

P4

Observer bulk flow and gravitational sorting supply a mathematical route to apparent acceleration without a separate dark-energy term.

#25 · Resolved

Lyman-alpha opacity rise

P11

#26 · Resolved

ISW anomaly interpretation

P12

Local Spaticle field temperature variations supply a mathematical contribution to the observed ISW signal.

#27 · Resolved

Galaxy-scale lensing and rotation consistency

P25 P78

The same aₛ and substrate framework are used across SPARC rotation curves and KiDS-1000 lensing.

#28 · Resolved

Finite-range correction to Newtonian gravity

P18

The exponential carrier solution gives g/g_N=e^(−x)(1+x), with x=r/R_eff, and approaches Newtonian gravity as x→0.

#29 · Resolved

Dark matter as a particle

P18 P25 P78

BFUT interprets the additional gravitational effect as organised substrate deformation and entrainment. The question becomes a gravitational-response problem, not a requirement for a new particle.

#30 · Resolved

Dark-energy requirement

P4 P14

BFUT interprets apparent acceleration through observer bulk flow and gravitational sorting, without introducing a separate dark-energy component.

#31 · Resolved

Hubble tension

P1 P14

The observed Hubble relation is treated as an emergent statistical property of gravitationally sorted matter. Different sampled populations can produce different inferred slopes.

#32 · Resolved

Horizon problem

P5 P8

An infinite and eternal substrate does not require a finite-origin epoch in which distant regions were brought into causal contact.

#33 · Resolved

Flatness problem

P5

Spatial infinitude removes the need for inflationary curvature dilution to explain a globally near-flat observable geometry.

#34 · Resolved

Early galaxy formation timing

P8

Structure can develop in an eternal universe with no fixed finite age measured from a Big Bang origin.

#35 · Resolved

CMB relic interpretation

P7

The CMB is treated as dynamically maintained thermal equilibrium radiation continuously supplied by stellar processes.

#36 · Resolved

Lithium problem

P3

Steady-state nucleosynthesis in an ongoing stellar-processing universe supplies an alternative account of primordial lithium abundance.

#37 · Resolved

S8 tension

P13

Rotational support during structure formation reduces inferred clustering amplitude, while the lensing inference pipeline itself is shown to be model-sensitive.

#38 · Resolved

Low-redshift versus CMB growth mismatch

P13

BFUT attributes the low-redshift suppression pattern to rotational structure dynamics and questions whether a single ΛCDM growth history is the unique interpretation.

#39 · Resolved

S8 methodological sensitivity

P13

The P13 simulations show that defensible analysis choices can shift or broaden recovered S8 while holding the underlying synthetic shear field fixed.

#40 · Resolved

Weak-lensing excess

P25 P78

BFUT uses the same substrate-derived gravitational response that fits galaxy dynamics to interpret weak-lensing observations.

#41 · Resolved

Ultra-diffuse and low-dark-matter galaxies

P25 P78

These systems are treated as tests of the substrate-response model, including cases where the observed dynamics are close to the stellar component alone.

#42 · Resolved

Merger mass-distribution interpretation

P78

Merger morphology is interpreted through redistribution and entrainment of substrate-associated gravitational response, allowing lensing and visible matter to be compared directly during interaction.

#43 · Resolved

Cosmic redshift interpretation

P1 P23

Redshift is treated as a Doppler/gravitational-sorting effect through a static substrate, so photon propagation does not require stretching of the substrate itself.

#44 · Resolved

CMB and large-scale structure as separate relic epochs

P7 P8

BFUT places them in one continuously existing substrate, with the CMB maintained dynamically and large-scale structures forming within the same persistent environment.

#45 · Resolved

Black-hole singularity problem

P6 P26 P28

BFUT retains the observed compact-object phenomena while interpreting the interior as finite organised substrate compression.

#46 · Resolved

Black-hole information problem

P26 P28

The finite-core, permeable-boundary picture provides a route for information to remain encoded in substrate deformation and to relax outward.

#47 · Resolved

Hawking-radiation mechanism

P26 P28

BFUT does not use the standard singularity-plus-event-horizon pair-creation mechanism; it substitutes finite carrier relaxation emission from the compressed substrate.

#48 · Resolved

Need for inflation as the unique early-universe solution

P5 P8

BFUT's infinite, eternal substrate provides alternative explanations for horizon, flatness and early-structure timing without an inflationary origin event.

#49 · Resolved

Universal expansion as the only interpretation of cosmic acceleration

P4

BFUT treats directional observer motion and gravitational sorting as physical alternatives that can generate apparent acceleration.

#50 · Resolved

Unique ΛCDM interpretation of low-redshift observables

P10 P12 P13

BFUT argues that SZ, weak lensing, redshift-space distortions, ISW and related observables can have substrate-based interpretations that do not depend on one universal ΛCDM growth narrative.

Layer 1 synthesis · Predictions · Claims