Successive Collision Theory

Paper 1 axiomatizes Successive Collision Theory: the observable universe is treated as a thermalized collision product embedded in an infinite, eternally evolving manifold, replacing the FLRW singular-origin assumption with a nested hierarchy of locally rotating, pressurized comoving frames ("pockets"). It enumerates the founding premises and the intended explanatory scope - CMB, large-scale structure, BBN abundances, galactic rotation, and apparent cosmic acceleration - as downstream consequences to be derived in later papers, and fixes the conceptual and notational foundation (collision thermalization, hierarchical Lorentz structure) on which the series' quantitative results rest. No new numerical predictions are made here; the paper's role is foundational and definitional.

Paper 2 addresses the illegitimate use of a single global Lorentz boost to relate cosmological sources and observers atop an FLRW background, which violates the strictly local character of Lorentz invariance in general relativity. It formulates a hierarchical Lorentz framework in which boosts are composed along the nested comoving-frame hierarchy ("common ancestry") of SCT, replacing the global-boost shortcut with a chain of local transformations between successive pockets. This supplies the kinematic consistency required for high-precision cosmological inference in the SCT manifold and underpins later papers' treatment of redshift, distance, and inter-frame relations.

Paper 3 addresses the JWST high-redshift mass-assembly tension (e.g. z ~ 14 systems with ~10^8 M_sun dynamical masses and >0.1 Z_sun enrichment; z = 7-9 systems requiring 47-52% star-formation efficiency, exceeding the Lambda-CDM stellar-mass ceiling by factors of 10-100). It derives proto-structure masses from collision dynamics, M_proto = alpha_th * f_b * mu * Omega(b,R1,R2), with black-hole seed masses M_seed = f_BH * alpha_th * f_b * mu, showing that collisothermal cosmogenesis deposits massive, enriched structures at very early times and so resolves the crisis within SCT rather than invoking new ingredients.

Paper 4 demonstrates SCT compatibility with the observed CMB TT angular power spectrum to within current observational precision, treating the early universe as a thermalized superluminal-collision plasma (Gamma/H ~ 10^18 ensures equilibrium) rather than a singular hot-dense origin. It specifies the conditions - acoustic-peak positions and heights, damping-tail behavior - under which next-generation CMB data could discriminate SCT from Lambda-CDM. The contribution is a rigorous compatibility/concordance argument, not a first-principles numerical prediction of the spectrum.

Paper 5 documents a co-rotation hierarchy spanning more than seven orders of magnitude in scale (satellite planes, galaxy spins, cluster and quasar alignments, large-scale-structure vorticity), confirmed across five observational sectors, and derives it within SCT as angular-momentum inheritance: angular momentum imparted at the seeding superluminal collision is transmitted through nested comoving frames, yielding correlated spin axes across scales. It frames this as a falsifiable structural prediction (alignment amplitudes and scales) distinct from LambdaCDM tidal-torque expectations.

Paper 6 contrasts the quasi-symmetric Lambda-CDM cosmic web with SCT's prediction of cometary (asymmetric) filamentary bridges: collision seeding imparts a preferred end that is denser, more chemically enriched, and more rotational, breaking the tidal-tensor symmetry of Gaussian-collapse filaments. It frames this filament asymmetry as a falsifiable cosmographic discriminator and connects the virialized amplification A* = 1 + N_coh*C* = 6.17 = 1/f_b to the framework.

Paper 7 formalizes the NIPOK metric: a covariant description of spacetime as a nested hierarchy of locally rotating, pressurized comoving frames (pockets) with hereditary proper time. It lays out the metric structure, the coordinate construction, and the logical progression from local pocket geometry to the global comoving foliation, providing the geometric backbone for SCT's field equations and cosmological results.

Paper 8 supplies covariant completeness for SCT: it formalizes the three proposed modifications to the Einstein field equations in fully covariant form (the SCT-MASTER structure), verifies consistency (Bianchi identities and conservation, TOV surface conditions, QCD-EOS tidal estimates), and unifies the foundational papers results into a single mathematical foundation, with the action-principle and ghost-free analysis carried in the companion variational paper.

Paper 9 supplies SCT's unified variational foundation: a single action principle from which the SCT-MASTER field equation (Paper 8) and the NIPOK metric (Paper 7) are both derived via a disformally coupled two-scalar (Horndeski-class) construction, closing the action-principle and derivation gaps flagged in peer review. It establishes leading-order ghost-freedom and the disformal coupling A(psi), with full nonlinear stability and the microscopic derivation of D(psi) deferred to later work.

Paper 10 consolidates SCT's first-principles derivations: it upgrades v_cross = sigma_v from MOTIVATED to DERIVED, treats A* = 1/f_b and the cosmic-versus-virial baryon-fraction relations, and specifies N-body validation (Route 2B) for SCT structure formation. It is the series' detailed-derivations and computational-program companion, laying out the simulation tests that close the remaining structure-formation predictions.

Paper 11 argues that relaxing one Lambda-CDM assumption (admitting superluminal successive collisions) brings the dark-matter phenomenology out of baryons via coherence amplification. It derives a universal virialized fixed point A* = 1 + N_coh*e^-1 = 1/f_b = 6.173 +/- 0.21 with N_coh = e(1/f_b - 1) = 14.06, anchored by the measured virial/cluster baryon fraction f_b = 0.162, Euler's number, and the virial theorem, and shows the framework simultaneously addresses five >2-sigma Lambda-CDM tensions (satellite-plane co-rotation, cluster-axis alignments over 200-300 Mpc, tSZ power, and more).

Develops coherence-amplified gravity as a threefold dark-matter alternative. Amplification A(N, sigma_v, R) = 1 + (N-1) exp[-psi], psi = sigma_v^2 R/(GM) (Jeans ratio); the exponential form is selected by four criteria (asymptotic limits A->N at psi=0 and A->1 at psi->inf; unique dimensionless argument; etc.). Universal fixed point A* = 6.173 = 1/f_b = 1 + N_coh e^-1, with N_coh = e(1/f_b - 1) = 14.06 and f_b = 0.162 +/- 0.006 (measured cluster baryon fraction, distinct from cosmic Omega_b/Omega_m). Reproduces galactic rotation curves, cluster velocity-dispersion A*(NFW), and satellite-plane co-rotation statistics; M_eff = 2.06x10^11 M_sun (Jiao+2023, chi^2 = 0.13) yields Route-A/B baryonic-mass agreement of 1.2%. Includes a multi-tier falsification ledger and LCDM/MOND/SCT comparison tables.

Paper 13 derives galaxy rotation curves from SCT coherence amplification (V_circ^2 = G*A(r)*M_baryonic/r), recovering flat rotation curves and the Baryonic Tully-Fisher relation (slope about 4) with SPARC validation, and ties the cluster-scale A* = 1/f_b = 6.173 to galactic dynamics. The size-velocity relation R proportional to V^2 is obtained conditionally from a minimal collision-ensemble closure (b proportional to M^((1+epsilon)/2)); the exact BTF slope (3 vs 4) remains open pending the angular-momentum scaling housed in the MathPxx derivation supplements.

Paper 14 derives late-time cosmic acceleration from one geometric mechanism in SCT - nested comoving frames with hereditary proper time and an effective Lambda_eff that varies spatially and temporally - removing the ~10^120 cosmological-constant fine-tuning and the rigidity of Lambda-CDM. It yields a mildly evolving effective dark-energy sector with a specific w(z) behavior, connects an approximately 9% Lambda_eff variation to the Hubble tension, and states falsifiable signatures (w(z) evolution and tensor-to-scalar behavior).

Paper 15 develops the Collision-Acoustic Relation: c_s^2 = (1+R_b)/3 = 0.4182 c^2 with R_b = 0.2545, yielding the BAO drag radius r_d = 146.8 Mpc and associated H0/S8 predictions (b_IA = 1.0848, S8 = 0.783) as a low-parameter geometric route to the Hubble and clustering tensions. It positions the collision-acoustic sound horizon as the key discriminator against the standard model in current BAO datasets.

Paper 16 models black-hole interiors as static, finite-density polyquark cores supported by quark degeneracy pressure and short-range QCD interactions (a lattice-QCD-calibrated equation of state), replacing the general-relativistic singularity with a regular core in hydrostatic equilibrium. It applies the relativistic stellar-structure and junction-condition machinery (Israel conditions matching interior to exterior) to obtain finite central densities bounded by the scale at which perturbative QCD becomes reliable.

Foundational/overview paper of the series. Catalogs 231 LambdaCDM tensions and compresses them into 11 Primary Concept Groups (M1-M11), each pinned to a keystone premise drawn from P1-P69. SCT is framed as a single-assumption replacement of the hot-dense-singular origin with a superluminal nested-pocket collision, retaining GR/SR/SM/lattice-QCD on an eternal infinite background. Three zero-free-parameter results anchor it: A* = 6.173 = 1/f_b (2.7% vs HIFLUGCS+CLASH), R_b = 0.2545 +/- 0.032 (cascade geometry, consistent with CMB+BBN), and N_eff = 2.514 +/- 0.050 (17.7 sigma CMB-S4 forecast vs SM 3.046). Unified field equation G_mu_nu + Lambda_eff(x,t) g_mu_nu = (8 pi G/c^4)[T_mu_nu + T^sup_mu_nu] adds dynamical Lambda_eff, coherent superposition stress-energy, and a QCD lower-boundary (0.08 fm) domain restriction to GR; r_d = 146.8 Mpc (CAMB, Paper 15); Delta BIC = -411 over 2,368 data points (2 vs 48 parameters).

Paper 18 is the consolidated falsifiability catalog: 74 canonical SCT predictions drawn from the series, each paired with a quantitative falsification criterion and current status (21 confirmed, 53 pending). It functions as the registry against which SCT can be tested and, in principle, refuted, spanning cosmological (CMB, BAO, S8, N_eff), galactic (rotation curves, alignments), and compact-object domains.

Paper 19 turns the collision origin into an observational test. Unlike an inflated singularity, a debris field keeps the kinematic memory of the collisions that formed it, so it should carry directional fingerprints inflation forbids. Sixteen such signatures, non-convergent bulk flow, the dark flow, an oversized quasar dipole, gigaparsec spin and polarization alignments, co-rotating satellite planes, filament and cluster rotation, giant rings and arcs, aligned large-angle CMB anomalies, and early massive galaxies and black holes, are all present in the record, several at high significance. It closes with twenty-two forward predictions, each tied to a named survey and an explicit kill criterion, foremost the redshift dependence of the quasar dipole.

Series 2 Paper 1 derives the Newtonian and Coulomb inverse-square laws, the coherence-amplified dark-matter sector, and cosmic-structure quantities from one primitive (carrier spheres) via flux conservation plus carrier-bandwidth decoherence, and derives R_b = 0.2545 from SO(3)->SO(2) cascade geometry with a QCD-boundary correction. Section 11.7 establishes the carrier-collision reduced mass mu = m_carrier/2 as DERIVED and G_N-free (two-body reduced mass + single-species carrier); G_N itself remains MATCHED. It also sets out the carrier-condensate Lagrangian linking gravity (amplitude mode) and electromagnetism (phase mode).

Series 2 Paper 2 derives time - its nature, mechanics, and relativity - as an emergent (concomitant) phenomenon of SCT's coherent carrier-field dynamics rather than a primitive coordinate. It grounds proper-time flow in carrier-field oscillation and coherence, recovers special- and general-relativistic time dilation, and connects to the hereditary proper-time structure of the nested comoving frames (NIPOK metric), unifying the series' treatment of time.

Series 2 Paper 3 models the sub-quantum vacuum as a carrier condensate with derived parameters (m_carrier = m_P*sqrt(2*pi*alpha*D_I) = 3.805e-9 kg, xi = 9.244e-35 m, omega_mu = 1.621e42 rad/s, satisfying hbar = 2*m_carrier*xi^2*omega_mu) and derives non-relativistic quantum mechanics: the Born rule from energy conservation at the condensation event, the Schrodinger equation via the Nelson diffusion coefficient D = hbar/2m, and a topological U(1)-bundle resolution of the Wallstrom problem, together with a falsifiable smooth-exponential which-path visibility decay.

Series 2 Paper 4 presents a local hidden-variable account of Bell/CHSH correlations within the sub-quantum carrier-condensate framework: the shared condensate background through which entangled subsystems are prepared supplies correlated hidden variables, evading Bell's no-go by relaxing statistical (measurement) independence rather than locality. It addresses the Tsirelson bound and the standard loophole structure, framing quantum correlations as composed from local condensate dynamics.