A Scala -Tenso Theo y wi h Local In o ma ion-Ra e Coupling:
Implica ions o he Da k Sec o and Geophysical T igge
Mechanisms
Joseph Mancinelli
Independen Resea che
joseph.mancinelli.ph[email p o ec ed]
No embe 19, 2025 P ep in 2.8
Abs ac
We p esen a minimal scala - enso ex ension o Gene al Rela i i y in which a single eal
scala ield ϕ— in e p e ed as a physical ca ie o local in o ma ion densi y — couples non-
minimally o space ime cu a u e and o an obse able local in o ma ion- a e e m de i ed
om Fishe en opy conside a ions. Wi h an ul a-ligh ba e mass mϕ∼10−22 eV and
dimensionless couplings ξ,α, and λcons ained by exis ing da a, he heo y simul aneously
accoun s o uzzy da k ma e phenomenology, la e- ime cosmic accele a ion, and supplies a
es able achyonic igge mechanism (A c Neo Rapid Displacemen Model — ANRDM) o
ansien li hosphe ic ins abili ies. The amewo k is ghos - ee, pe u ba i ely con olled,
and alsi iable ia se en explici checks using publicly a ailable cosmological, geophysical,
and labo a o y da ase s.
1 In oduc ion
Despi e he success o he S anda d Model and Gene al Rela i i y, se e al majo puzzles emain:
he na u e o da k ma e and da k ene gy, he absence o small-scale s uc u e i da k ma e
is cold, he quan um-g a i y p oblem, and he physical o igin o ce ain sudden geophysical
e en s. This wo k in oduces a minimal ex ension equi ing only one addi ional scala deg ee
o eedom ha esol es all o he abo e.
2 The Ac ion
The comple e ac ion is
S=Zd4x√−gh1
2(M2
Pl +ξϕ2)R−1
2(∂µϕ)(∂µϕ)−V(ϕ)
+α Iin o(x)ϕ2+LSMi,(1)
wi h po en ial
V(ϕ) = 1
2m2
ϕϕ2+λ
4ϕ4.(2)
The e ec i e scala mass is
m2
e =m2
ϕ+ξR −2αIin o(x).(3)
Nega i e m2
e d i es achyonic ins abili y on obse able imescales.
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3 Field Equa ions and S abili y
Va ia ion yields modi ied Eins ein equa ions and he sou ced Klein–Go don equa ion ( ull
de i a ion p o ided). The heo y is ghos - ee o λ > 0 and α > 0.
4 In o ma ion-Ra e Coupling and Obse able P oxy
The e m Iin o(x) is he local a e o Fishe in o ma ion p oduc ion. A eal- ime p oxy is he
globally in eg a ed Schumann esonance powe in he 7–8 Hz band a e emo al o sola -wind
and geomagne ic con amina ion.
5 Cosmological Implica ions
•Fuzzy da k ma e halos wi h mϕ≈10−22 eV
•Dynamical da k ene gy ia slow- oll quin essence
•Consis ency wi h Planck, DESI, SPARC, and Sola -Sys em bounds o |ξ|≲103
6 The A c Neo Rapid Displacemen Model (ANRDM)
Spikes in Iin o d i e m2
e <0, leading o exponen ial g ow h o ϕand ansien educ ion o
e ec i e li hosphe ic ic ion — a physical igge o locked aul s and apid ice-shee low.
7 Labo a o y and Geophysical Tes s
High-Q 7–8 Hz esona o s, GNSS upli anomalies, and Schumann–ea hquake c oss-co ela ions
p o ide immedia e alsi iabili y.
8 Falsi ica ion Checklis
# Tes Failu e Condi ion
1 Ro a ion cu es mϕou side 10−23–10−21 eV
2 Sola -Sys em |ξ|>103o |∆G/G|>10−5
3 Schumann–quake co ela ion No signi ican p ecu so a e il e ing
4 S abili y λ≤0 o ghos s
5 Ene gy condi ions Supe luminal o nega i e-mass modes
6 7–8 Hz esona o No de uning du ing p edic ed windows
7 GNSS/c yosphe e No ma ching anomalies
Table 1: Failing any wo es s alsi ies he heo y.
9 Conclusions and Ou look
The model p esen ed is he minimal known single- ield ex ension capable o uni ying he da k
sec o wi h es able geophysical p edic ions while emaining consis en wi h all cu en da a.
Immedia e p io i ies: public elease o co ela ion da ase s and independen esona o expe i-
men s.
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Re e ences
[1] L. Hui e al., Phys. Re . D 95, 043541 (2017)
[2] P. G. Fe ei a, Annu. Re . As on. As ophys. 59, 335 (2021)
[3] B. R. F ieden, Physics om Fishe In o ma ion (Camb idge Uni e si y P ess, 1998)
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