Electric version: For a U(1) gauge theory coupled to gravity, there exists a particle of charge (q) and mass (m) such that
[ \fracqm;\geq;\frac1M_!P. ]
The magnetic version imposes an upper bound on the cutoff of the EFT in terms of the gauge coupling (g). ampland com
Combining the TCC with the Friedmann equation yields an upper limit on the inflationary Hubble parameter:
[
H_\rm inf;\lesssim; 10^-20,M_!P;\approx; 10^4,\rm GeV,
]
corresponding to an energy scale well below that of typical Grand Unified Theories. This dramatically lowers the expected amplitude of primordial tensor modes. Electric version: For a U(1) gauge theory coupled
From the SDC we have (\Delta\phi\lesssim \frac1\lambdaM_!P). For a monomial potential (V\propto\phi^p), the field excursion during inflation is
[
\Delta\phi \simeq \sqrt2p,N,M_!P,
]
implying that models with (p\gtrsim 1) and (N\sim 50!-!60) typically violate the SDC unless (\lambda) is substantially below unity. The magnetic version imposes an upper bound on
Ampland is an online service for independent musicians, podcasters, or creators to upload, distribute, and promote audio content. It offers tools for hosting tracks/episodes, distributing to major streaming platforms, audience analytics, and monetization options such as direct fan payments or storefronts.
Electric version: For a U(1) gauge theory coupled to gravity, there exists a particle of charge (q) and mass (m) such that
[ \fracqm;\geq;\frac1M_!P. ]
The magnetic version imposes an upper bound on the cutoff of the EFT in terms of the gauge coupling (g).
Combining the TCC with the Friedmann equation yields an upper limit on the inflationary Hubble parameter:
[
H_\rm inf;\lesssim; 10^-20,M_!P;\approx; 10^4,\rm GeV,
]
corresponding to an energy scale well below that of typical Grand Unified Theories. This dramatically lowers the expected amplitude of primordial tensor modes.
From the SDC we have (\Delta\phi\lesssim \frac1\lambdaM_!P). For a monomial potential (V\propto\phi^p), the field excursion during inflation is
[
\Delta\phi \simeq \sqrt2p,N,M_!P,
]
implying that models with (p\gtrsim 1) and (N\sim 50!-!60) typically violate the SDC unless (\lambda) is substantially below unity.
Ampland is an online service for independent musicians, podcasters, or creators to upload, distribute, and promote audio content. It offers tools for hosting tracks/episodes, distributing to major streaming platforms, audience analytics, and monetization options such as direct fan payments or storefronts.