Weird stuff. Just discovered my Mac Pro doing the same thing for the first time today. Turned itself on from a totally shutdown state at 4 pm while I was away at work. Checked the console log and it just looks like a normal startup...
+1/24/08 4:00:23 PM com.apple.launchctl.System[2] launchctl: Please convert the following to launchd: /etc/mach_init.d/dashboardadvisoryd.plist+
+1/24/08 4:00:23 PM com.apple.launchd[1] (org.cups.cupsd) Unknown key: SHAuthorizationRight+
+1/24/08 4:00:23 PM com.apple.launchd[1] (org.ntp.ntpd) Unknown key: SHAuthorizationRight+
+1/24/08 4:00:36 PM com.vmware.launchd.vmware[46] VMware Fusion 62573: Starting VMware Fusion:+
+1/24/08 4:00:37 PM com.vmware.launchd.vmware[46] kextload: /Library/Application Support/VMware Fusion/kexts/vmmon.kext loaded successfully+
+1/24/08 4:00:37 PM com.vmware.launchd.vmware[46] kextload: /Library/Application Support/VMware Fusion/kexts/vmci.kext loaded successfully+
+1/24/08 4:00:37 PM com.vmware.launchd.vmware[46] kextload: /Library/Application Support/VMware Fusion/kexts/vmioplug.kext loaded successfully+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] kextload: /Library/Application Support/VMware Fusion/kexts/vmnet.kext loaded successfully+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Internet Software Consortium DHCP Server 2.0+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Copyright 1995, 1996, 1997, 1998, 1999 The Internet Software Consortium.+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] All rights reserved.+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Please contribute if you find this software useful.+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] For info, please visit
http://www.isc.org/dhcp-contrib.html+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Configured subnet: 192.168.243.0+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Setting vmnet-dhcp IP address: 192.168.243.254+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Opened:+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Recving on VNet/vmnet8/192.168.243.0+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Sending on VNet/vmnet8/192.168.243.0+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Internet Software Consortium DHCP Server 2.0+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Copyright 1995, 1996, 1997, 1998, 1999 The Internet Software Consortium.+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] All rights reserved.+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Please contribute if you find this software useful.+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] For info, please visit
http://www.isc.org/dhcp-contrib.html+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Configured subnet: 172.16.94.0+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Setting vmnet-dhcp IP address: 172.16.94.254+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Opened:+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Recving on VNet/vmnet1/172.16.94.0+
+1/24/08 4:00:38 PM com.vmware.launchd.vmware[46] Sending on VNet/vmnet1/172.16.94.0+
I realize this is a lot of VMWare activity, but it's the same stuff that happens during any startup for me, accidental or not, at this point.