These are similar to adiabatic walls of classical thermodynamics which prevent thermal transfers of temperature changes among physical systems. Unlike conjugal beds they also prevent the double or triple conjugation of space-time charges whether local (hotel sex) or nonlocal (internet sex). Theoretically, these are dimensional walls that can separate space-time charges of equal or unequal physical dimensions. By these simple analogies it can be suggested that the space-time continuum serves as the one dimensional wall separating matter and matter (MM), energy and matter (EM), energy and quantum vacuum (EQ), matter and quantum vacuum (MQ), energy and energy (EE), or quantum vacuum and quantum vacuum (QQ). Dimensional analyses give energy two dimensions, matter three dimensions, and quantum vacuum four dimensions.

The bracket notation of MM walls is 〈3|1|3〉, EM’s 〈2|1|3〉, MQ’s 〈3|1|4〉, EQ’s 〈2|1|4〉, EE’s 〈2|1|2〉, QQ’s 〈4|1|4〉. Among these there are three of dimensional addition as well as three of dimensional subtraction to reach the physical state of matter. However, there are only 1 of dimensional addition and 1 of dimensional subtraction to reach both the states of energy and quantum vacuum. Nonetheless, to extract energy from the quantum vacuum requires double firewalls of 〈2|1|1|4〉 and 〈2|2|4〉. The former needs two continuum walls while the latter needs an energy wall. The topology of the continuum walls is equivalent to the Hopf-Möbius topology. The topology of the energy wall is equivalent to the square of energy. These two topologies are equivalent. They suggest that extracting energy from the quantum vacuum must follow a rationalized Lagrangian formalism such that the rationalized conjugated spins S₁ and S₂ is given by S₁S₂= S₂‒S₁ and If S₁=0 then S₂=0, if S₁=2 then S₂= -2, and if S₁=1 then S₂=½ representing the interactions of fermions and bosons. MM walls can supposedly cross by gravitons, EM’s by photons, EQ’s by W and Z bosons, MQ’s by gluons. The success of electroweak theory indicates that EM and EQ walls are identical except the mass differences among the intermediate vector gauge bosons. However, there seems to be no hope of ever detecting gravitons which can imply that MM, EE, QQ, and EQ walls by themselves are truly impregnable.