#1 · Resolved
Cosmological constant problem
u_vac=ρₛc², with empty substrate modes contributing no physical condensation energy.
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
u_vac=ρₛc², with empty substrate modes contributing no physical condensation energy.
#2 · Resolved
One physical substrate replaces the multiple independent vacuum-field contributions used in the conventional sum, while unexcited modes carry no condensation energy.
#3 · Resolved
g_total=Σ_i g_i exp(−r/R_domain,i), giving finite contributions from finite deformation domains.
#4 · Resolved
R_d=[3M/(8πρₛ)]^(1/3) gives every source a finite deformation domain.
#5 · Resolved
The dark matter effects equation (DME) introduces the substrate-derived acceleration scale aₛ=c√(Gρₛ/3).
#6 · Resolved
v⁴≈GMaₛ follows from the low-acceleration DME limit.
#7 · Resolved
The same DME and substrate scale are applied to the KiDS-1000 stacked lensing data.
#8 · Resolved
The additional gravitational response is represented by substrate deformation and entrainment, with no dark-matter particle parameter.
#9 · Resolved
m_e_vss=mₚ/(6π⁵) provides a geometric mass relation.
#10 · Resolved
ħ_vss=mₚcrₚ/(πR₀) connects the BFUT-derived ħ_vss to the condensation geometry.
#11 · Resolved
α_vss is linked to the BFUT condensation and ħ_vss derivation chain.
#12 · Resolved
αₛ_vss is related to condensation geometry through αₛ_vss∝BR₀⁴/A.
#13 · Resolved
c_vss=√(Kₛ/ρₛ), with Kₛ=ρₛc_vss², identifies c_vss with the substrate reorganisation limit.
#14 · Resolved
Both are substrate disturbances and share the same maximum propagation rate c.
#15 · Resolved
c²=v_internal²+v_grav²+v_spatial² and η=dτ/dt= c_s/c₀ provide a common propagation-budget description.
#16 · Resolved
The causal limit gives finite R_max=GM/c² and ρ̄_max=3c⁶/(4πG³M²), while the condensation functional excludes zero-radius condensation.
#17 · Resolved
The carrier-field formulation supplies a common substrate description whose settled limits reproduce the classical gravitational regime.
#18 · Resolved
Rotational-collapse suppression gives a 6.2% S8 deficit in the P13 proof-of-concept simulation.
#19 · Resolved
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
An eternal substrate removes the finite-age formation constraint used in a finite-origin cosmology.
#21 · Resolved
An infinite, eternal substrate removes the requirement that all observed regions were once in causal contact after a finite beginning.
#22 · Resolved
Spatial infinitude removes the finite-origin curvature-dilution requirement associated with inflation.
#23 · Resolved
T=(u_CMB c/(4σ))^(1/4) gives 2.725 K from the measured CMB energy density.
#24 · Resolved
Observer bulk flow and gravitational sorting supply a mathematical route to apparent acceleration without a separate dark-energy term.
#25 · Resolved
#26 · Resolved
Local Spaticle field temperature variations supply a mathematical contribution to the observed ISW signal.
#27 · Resolved
The same aₛ and substrate framework are used across SPARC rotation curves and KiDS-1000 lensing.
#28 · Resolved
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
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
BFUT interprets apparent acceleration through observer bulk flow and gravitational sorting, without introducing a separate dark-energy component.
#31 · Resolved
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
An infinite and eternal substrate does not require a finite-origin epoch in which distant regions were brought into causal contact.
#33 · Resolved
Spatial infinitude removes the need for inflationary curvature dilution to explain a globally near-flat observable geometry.
#34 · Resolved
Structure can develop in an eternal universe with no fixed finite age measured from a Big Bang origin.
#35 · Resolved
The CMB is treated as dynamically maintained thermal equilibrium radiation continuously supplied by stellar processes.
#36 · Resolved
Steady-state nucleosynthesis in an ongoing stellar-processing universe supplies an alternative account of primordial lithium abundance.
#37 · Resolved
Rotational support during structure formation reduces inferred clustering amplitude, while the lensing inference pipeline itself is shown to be model-sensitive.
#38 · Resolved
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
The P13 simulations show that defensible analysis choices can shift or broaden recovered S8 while holding the underlying synthetic shear field fixed.
#40 · Resolved
BFUT uses the same substrate-derived gravitational response that fits galaxy dynamics to interpret weak-lensing observations.
#41 · Resolved
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 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
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
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
BFUT retains the observed compact-object phenomena while interpreting the interior as finite organised substrate compression.
#46 · Resolved
The finite-core, permeable-boundary picture provides a route for information to remain encoded in substrate deformation and to relax outward.
#47 · Resolved
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
BFUT's infinite, eternal substrate provides alternative explanations for horizon, flatness and early-structure timing without an inflationary origin event.
#49 · Resolved
BFUT treats directional observer motion and gravitational sorting as physical alternatives that can generate apparent acceleration.
#50 · Resolved
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.