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SUMMARY:Contributory: Non-Trivial Cosmology from Fractal Spacetime\, Memor
 y Effects\, and Modified Gravity
DTSTART;VALUE=DATE-TIME:20261117T093000Z
DTEND;VALUE=DATE-TIME:20261117T094500Z
DTSTAMP;VALUE=DATE-TIME:20261026T222725Z
UID:indico-contribution-953@indico.narit.or.th
DESCRIPTION:Speakers: Aarav Shah ()\nThe success of the $\\Lambda$CDM mode
 l and General Relativity has established the standard paradigm of modern c
 osmology\, yet the fundamental nature of spacetime remains an open questio
 n. This talk explores three complementary directions for extending the geo
 metric foundations of modern cosmology. I first consider inflation in a fr
 actal spacetime\, where non-integer spatial dimensions modify the inflatio
 nary dynamics and the Mukhanov–Sasaki equation through an effective mome
 ntum $k_{\\rm{eff}}$\, leading to corrections in the scalar power spectrum
  and spectral index $n_s$. Confronting the Starobinsky model with Planck 2
 018 observations constrains the effective dimension to the range $D \\appr
 ox [2.7\,3]$\, while fractal corrections render Natural Inflation phenomen
 ologically viable with sub-Planckian axion decay constants. I then extend 
 the semiclassical Wheeler-DeWitt framework by incorporating a causal non-M
 arkovian memory\, leading to an effective non-integer temporal dimension t
 hat introduces an additional contribution to the primordial power spectrum
  with a $k^{3/4}$ scaling\, enhancing high-$\\ell$ CMB temperature anisotr
 opies and producing scale-dependent modifications of primordial non-Gaussi
 anity. Finally\, I present a De Donder-Weyl formulation of Einstein-Cartan
  cosmology\, where torsion generalizes the underlying spacetime geometry\,
  yielding torsion-modified Friedmann equations and demonstrating the limit
 ations of conventional power-law cosmological solutions. Together\, these 
 studies investigate the cosmological consequences of extending spacetime t
 hrough non-integer spatial and temporal dimensions and torsion\, providing
  new perspectives on physics beyond the standard cosmological paradigm.\n\
 nhttps://indico.narit.or.th/event/234/contributions/953/
LOCATION:Pattaya\, Thailand D Varee Jomtien Beach Pattaya Hotel
URL:https://indico.narit.or.th/event/234/contributions/953/
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