This paper proposes a new class of four-dimensional theories for natural electroweak symmetry breaking, which do not rely on supersymmetry or strong dynamics at the TeV scale. The new physics is perturbative, and radiative corrections to the Higgs mass are finite. The Higgs is an extended object in theory space, resulting in an accidental symmetry. A novel Higgs potential emerges naturally, requiring a second light SU(2) doublet scalar. The authors use dimensional deconstruction to show that the Higgs can be understood as a pseudo-Nambu-Goldstone boson. In a five-dimensional theory, the Higgs mass is generated by a non-local operator that is protected by higher-dimensional gauge invariance. This mechanism is then deconstructed into a four-dimensional theory, where the Higgs mass is finite due to the symmetry of the theory. The authors show that the Higgs mass can be stabilized without fine-tuning by introducing a second light SU(2) doublet scalar. This scalar interacts with the Higgs through non-derivative interactions, which stabilize the potential. The Higgs mass is insensitive to high-energy details up to a cut-off scale much larger than a TeV. The authors also discuss the inclusion of fermions with Yukawa couplings to the Higgs. These couplings are generated through local interactions in theory space, which avoid quadratic divergences in the Higgs mass. The models provide a realistic theory of electroweak symmetry breaking, with a rich and novel phenomenology at TeV energies. The Higgs is light, and the theory is perturbative, with no need for fine-tuning. The authors conclude that the models provide a natural explanation for electroweak symmetry breaking, with the Higgs mass being finite and insensitive to high-energy details.This paper proposes a new class of four-dimensional theories for natural electroweak symmetry breaking, which do not rely on supersymmetry or strong dynamics at the TeV scale. The new physics is perturbative, and radiative corrections to the Higgs mass are finite. The Higgs is an extended object in theory space, resulting in an accidental symmetry. A novel Higgs potential emerges naturally, requiring a second light SU(2) doublet scalar. The authors use dimensional deconstruction to show that the Higgs can be understood as a pseudo-Nambu-Goldstone boson. In a five-dimensional theory, the Higgs mass is generated by a non-local operator that is protected by higher-dimensional gauge invariance. This mechanism is then deconstructed into a four-dimensional theory, where the Higgs mass is finite due to the symmetry of the theory. The authors show that the Higgs mass can be stabilized without fine-tuning by introducing a second light SU(2) doublet scalar. This scalar interacts with the Higgs through non-derivative interactions, which stabilize the potential. The Higgs mass is insensitive to high-energy details up to a cut-off scale much larger than a TeV. The authors also discuss the inclusion of fermions with Yukawa couplings to the Higgs. These couplings are generated through local interactions in theory space, which avoid quadratic divergences in the Higgs mass. The models provide a realistic theory of electroweak symmetry breaking, with a rich and novel phenomenology at TeV energies. The Higgs is light, and the theory is perturbative, with no need for fine-tuning. The authors conclude that the models provide a natural explanation for electroweak symmetry breaking, with the Higgs mass being finite and insensitive to high-energy details.